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AMU Entrance Exam 2023: Exam Dates (Out), Application Form, Eligibility, Syllabus, Result
Latest Update for AMU Entrance Test
 16 May 2023:
CUET UG 2023 admit card to be released soon.
 11 May 2023:
Candidates can challenge the AMU 2023 answer key for BA Hons Foreign Languages till May 11.
 23 Sep 2021:
AMU 2021 answer key for UG courses has been released.
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About AMU Entrance Test 2023
AMU Entrance Test 2023  Aligarh Muslim University (AMU) has released the AMU admission test answer key 2023 for BCom Hons and BSc Hons on April 30. The AMU entrance test 2023 for BSc Agriculture Hons will be conducted on May 2. The authorities released the application form for UG programmes on February 17, 2023 and for PG programmes on February 19, 2023 on its official website amucontrollerexam.com for different programmes. Candidates could access the AMU entrance test application form 2023 from amucontrollerexams.com. For Aligarh Muslim University admissions to UG and PG courses, the candidates should register themselves using their login credentials  email id and password.
Candidates appearing for the exam must check the eligibility criteria of AMU entrance test 2023 before filling the application form. The application process of AMU entrance test 2023 comprises registration, filling details in application form, uploading documents, payment of fee and more. The application form for the AMU entrance exam 2023 has been released separately for UG and PG programs. Only Applicants who filled the AMU entrance test 2023 application form before March 24 will be able to download the AMU entrance test admit card a few days before the exam.
Applicants preparing for the exam can refer to the AMU entrance test syllabus 2023 for their preparations. Candidates can also refer to the AMU entrance test 2023 exam pattern and previous year question papers to ace the exam with a good score.
After the conclusion of the exam, the exam conducting authority will release the AMU entrance test provisional answer key at the official website. Applicants will be able to raise objections in the answer key. AMU will release the final answer key and result after considering all the objections. Shortlisted candidates on the basis of AMU entrance test results will be called for the counselling process later.
Contact details 
Aligarh Muslim University
Aligarh, Uttar Pradesh
Email  amupro@amu.ac.in
Phone no.  +91571 27009201
AMU Entrance Test 2023 Highlights
Full Exam Name  Aligarh Muslim University Entrance Exam 
Short Exam Name  AMU Entrance Test 
Conducting Body  Aligarh Muslim University 
Frequency of Conduct  Once a year 
Exam Level  University Level Exam 
Languages  English 
Mode of Application  Online 
Mode of Exam  Offline 
Mode of Counselling  Online 
Participating Colleges  4 
Exam Duration  2 Hours 
AMU Entrance Test 2023 Important Dates
AMU Entrance Test B.A.(Hons) (Session 2023)
Upcoming Dates and Events
21 May, 2023  31 May, 2023
Exam  CUET exam date (admission in few BA program will taken on the basis of CUET exam)  Mode: Offline ^{Ongoing}
AMU Entrance Test B.A. L.L.B (Session 2023)
Past Dates and Events
17 May, 2023
Answer Key  Mode: Online
14 May, 2023
Exam  Mode: Offline
AMU Entrance Test B.Tech (Session 2023)
Past Dates and Events
15 May, 2023
Answer Key  Mode: Online
14 May, 2023
Exam  Mode: Offline
AMU Entrance Test B.Com(Hons) (Session 2023)
Past Dates and Events
30 Apr, 2023
Answer Key  Mode: Online
30 Apr, 2023
Exam  Mode: Offline
AMU Entrance Test B.Sc.(Hons) (Session 2023)
Past Dates and Events
30 Apr, 2023
Exam  Mode: Offline
30 Apr, 2023
Answer Key  Mode: Online
AMU Entrance Test (Session 2023)
Past Dates and Events
03 Apr, 2023  04 Apr, 2023
Application Correction  UG & PG Programmes  Mode: Online
20 Mar, 2023  26 Mar, 2023
Late Fee Application  PG Programmes with late fee of Rs. 300  Mode: Online
18 Mar, 2023  24 Mar, 2023
Late Fee Application  UG Programmes with a late fee of Rs. 300  Mode: Online
19 Feb, 2023  19 Mar, 2023
Application  For PG programmes  Mode: Online
17 Feb, 2023  17 Mar, 2023
Application  For UG programmes  Mode: Online
AMU Entrance Test 2023 Eligibility Criteria
The exam conducting authority has released the AMU entrance test eligibility criteria in the online mode. Applicants appearing for the exam must check the AMU entrance exam eligibility criteria before filling the application form. The eligibility criteria of AMU entrance exam comprises age limit, educational qualification and other parameters. AMU entrance test 2023 eligibility criteria will be released separately for all the courses offered by the University. For more details, candidates can check the coursewise eligibility criteria of AMU entrance exam from below.
AMU Entrance Test B.Tech Eligibility Criteria
Candidates will have to meet following eligibility criteria of AMU Entrance Test 2023 for BTech admissions in Aligarh Muslim University. Inability to satisfy the eligibility criteria will lead to the disqualification of the candidates. The AMU Entrance Test 2023 eligibility criteria for B.Tech is listed below:
Age Limit – The maximum age limit is 24 years
The candidates should have passed Senior Secondary School Certificate or an equivalent exam with at least 50% marks in aggregate with English, Physics, Chemistry and Mathematics.
OR
Diploma in Engineering with at least 50% marks in aggregate.
AMU Entrance Test B.A. L.L.B Eligibility Criteria
Candidates will have to meet eligibility criteria of AMU Entrance Test 2023 for BA LLB to participate in the examination. Listed below is the AMU BA LLB 2023 eligibility criteria:
Age Limit – The maximum age limit is 24 years
Candidates should have passed Senior Secondary School Certificate or an equivalent examination with an aggregate not less than 50% of the total marks.
OR
Bridge Course (for Graduates of Deeni Madaris) from AMU with 50% aggregate marks
AMU Entrance Test B.A.(Hons) Eligibility Criteria
It is important for the candidates to read and fulfil the AMU Entrance Test eligibility criteria. The following criteria have to be met to be eligible for the entrance exam:
Age Limit – The maximum age limit is 24 years
Candidates should have qualified Senior Secondary School Certificate or an equivalent examination with at least 50% marks in aggregate of English and three subjects from amongst Accountancy, Arabic, Banking, Biology, Biotechnology, Business Organization, Business Studies, Chemistry, Commerce, Computer Science, Economics, Education, English, Fine Arts, Geography, Hindi, History, Home Science, Islamic Studies, Mathematics, Persian, Philosophy, Physical Health Education, Physics, Political Science/Civics, Psychology, Sanskrit, Sociology, Statistics, Urdu and Modern Indian Languages (Bengali, Tamil, Telugu, Malayalam, Marathi, Punjabi and Kashmiri).
OR
Bridge Course (for Graduates of Deeni Madaris) from AMU with at least 50% marks.
OR
Degree/Sanad from recognized Madrasa/Institution with at least 50% marks
AMU Entrance Test B.Com(Hons) Eligibility Criteria
The candidates will have to satisfy the following AMU Entrance Test 2023 eligibility criteria for B.Com Hons to participate in the admission process:
Age Limit – The maximum age limit is 24 years
The candidates should have qualified Senior Secondary School Certificate Examination (Commerce) or an equivalent exam with minimum 55% aggregate marks in English and Accounts and two subjects among Economics, Business Studies, Business Organization, Commerce, Banking, Entrepreneurship, Mathematics and/or Statistics.
OR
Diploma in Secretarial Practice examination of this University with not less than 55% marks (in theory subjects only)in aggregate.
AMU Entrance Test B.Sc.(Hons) Eligibility Criteria
The following eligibility criteria of AMU Entrance Test 2023 for B.Sc. Hons. has to be fulfilled by the candidates for admissions:
Age Limit – The maximum age limit is 24 years
The candidates should have qualified a Senior Secondary School Certificate or an equivalent examination with at least 50% aggregate marks in English and three subjects amongst Biology, Chemistry, Mathematics, Physics, Biology, Home Science, Agriculture.
AMU Entrance Test B.Arch Eligibility Criteria
To participate in the admission process, the candidates will have to meet the following eligibility criteria of AMU Entrance Test 2023 for B.Arch programme.
Age Limit – The maximum age limit is 24 years
The candidates should have passed Senior Secondary School Certificate or an equivalent exam with at least 50% marks in aggregate of English, Physics, Chemistry and Mathematics.
OR
Diploma in Engineering with at least 50% aggregate marks
AMU Entrance Test L.L.M Eligibility Criteria
All candidates will have to meet the eligibility criteria of AMU Entrance Test for LLM as given below to participate in the admission process:
Age Limit – The maximum age limit is 27 years
The candidates should have qualified the LLB/B.A.LL.B examination of AMU or an equivalent examination recognized by a recognized university with not less than 55% marks.
AMU Entrance Test M.C.A. Eligibility Criteria
The following eligibility criteria of AMU Entrance Test 2023 has to be satisfied by the candidates for admissions in MCA course:
Age Limit – The maximum age limit is 27 years
Candidates should have qualified B.Tech/B.Arch/B.E. with aggregate 55% marks.
OR
Bachelor's Degree in Science from a recognized university with 55% marks in aggregate and should have studied Mathematics along with any two of the following subjects – Statistics, Physics, Chemistry, Computer Application, Computer Maintenance, Information Technology as main or subsidiary subjects at the qualifying exam.
Candidates should have studied Physics and Mathematics in the Senior Secondary School Certificate or its equivalent course.
AMU Entrance Test 2023 Application Process
Mode of Application : Online
Mode of Payment : Net Banking  Credit Card  Debit Card
The exam conducting authority has concluded the application process on March 24, 2023. The authorities released the AMU application form 2023 for UG programmes in on its official website on February 15. Applicants can fill the AMU entrance test 2023 application form from the official website  amucontrollerexams.com. Candidates must check the eligibility criteria before filling the AMU admission form 2023. The application form of AMU 2023 is available in online mode only. To appear for the AMU entrance test 2023, applicants must fill the application form before the last date. Steps to fill AMU admission form 2023 are given below.
How to Fill AMU Application Form 2023?
Candidates can refer to the steps to fill the application form of AMU entrance test 2023 from below.
Registration: The first step is to complete the AMU entrance test 2023 registration using basic details like email ID, mobile number and other details. Upon successful registration, candidates will get the login username and password on their registered email ID.
Filling application form: The next step is to login using valid credentials and filling the application form. Applicants have to fill the personal, academic and contact information in the application form of AMU 2023.
Uploading documents: After filling details in the application, applicants have to upload the required documents in the AMU 2023 application form. Candidates have to upload a scanned image of photograph, signature and left thumb impression in JPG/ JPEG format.
Payment of fee: The next step is to pay the AMU 2023 application fee in online mode. Applicants will be able to pay the AMU entrance test fee through internet banking, credit card and debit card.
Preview and submit the application form: The final step is to preview all the details and submit the application form.
AMU Entrance Test B.Tech Application Details
Application Fees
Category  Quota  Mode  Gender  Amount 

OBC, SC, General, ST, EWS  PWD  Online  Female, Transgender, Male  ₹ 750 
AMU Entrance Test B.A. L.L.B Application Details
Application Fees
Category  Quota  Mode  Gender  Amount 

ST, SC, OBC, General  PWD  Online  Female, Male  ₹ 650 
ST, SC, OBC, General  Online  Female, Male  ₹ 650 
AMU Entrance Test B.A.(Hons) Application Details
Application Fees
Category  Quota  Mode  Gender  Amount 

OBC, SC, General, ST, EWS  Online  Female, Transgender, Male  ₹ 600 
AMU Entrance Test B.Com(Hons) Application Details
Application Fees
Category  Quota  Mode  Gender  Amount 

OBC, SC, General, ST, EWS  Online  Female, Transgender, Male  ₹ 600 
AMU Entrance Test B.Sc.(Hons) Application Details
Application Fees
Category  Quota  Mode  Gender  Amount 

OBC, SC, General, ST, EWS  Online  Female, Transgender, Male  ₹ 600 
AMU Entrance Test B.Arch Application Details
Application Fees
Category  Quota  Mode  Gender  Amount 

ST, SC, OBC, General  PWD  Online  Female, Male  ₹ 850 
ST, SC, OBC, General  Online  Female, Male  ₹ 850 
AMU Entrance Test L.L.M Application Details
Application Fees
Category  Quota  Mode  Gender  Amount 

ST, SC, OBC, General  PWD  Online  Female, Male  ₹ 450 
ST, SC, OBC, General  Online  Female, Male  ₹ 450 
AMU Entrance Test B.Tech Syllabus
Physics
Physical world and measurement 

Physicsscope and excitement, nature of physical laws; physics, technology and society 
Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments, errors in measurement; significant figures 
Need for measurement: Dimensions of physical quantities, dimensional analysis and its applications 
Kinematics 

Frame of reference 
Motion in a straight line: Positiontime graph, speed and velocity 
Uniform and nonuniform motion, average speed and instantaneous velocity 
Uniformly accelerated motion, velocitytime, positiontime graphs, relations for uniformly accelerated motion (graphical treatment) 
Elementary concepts of differentiation and integration for describing motion 
Scalar and vector quantities: Position and displacement vectors, general vectors and notation, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors 
Relative velocity 
Unit vector; resolution of a vector in a planerectangular components 
Motion in a plane 
Cases of uniform velocity and uniform accelerationprojectile motion 
Uniform circular motion 
Laws of motion 

Intuitive concepts of force 
Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion 
Law of conservation of linear momentum and its applications 
Equilibrium of concurrent forces 
Static and kinetic friction, laws of friction, rolling friction 
Lubrication, dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on level circular road, vehicle on banked road) 
Work, energy and power 

Scalar product of vectors 
Work done by a constant force and a variable force; kinetic energy, workenergy theorem, power 
Notion of potential energy, potential energy of a spring, conservative forces: Conservation of mechanical energy (kinetic and potential energies); nonconservative forces: Elastic and inelastic collisions in one and two dimensions 
Motion of system of particles and rigid body 

Centre of mass of a twoparticle system, momentum conversation and centre of mass motion 
Centre of mass of a rigid body; centre of mass of uniform rod 
Vector product of vectors; moment of a force, torque, angular momentum, conservation of angular momentum with some examples 
Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion 
Comparison of linear and rotational motions; moment of inertia, radius of gyration 
Values of moments of inertia for simple geometrical objects (no derivation) 
Statement of parallel and perpendicular axes theorems and their applications 
Gravitation 

Keplar’s laws of planetary motion 
The universal law of gravitation 
Acceleration due to gravity and its variation with altitude and depth 
Gravitational potential energy; gravitational potential 
Escape velocity 
Orbital velocity of a satellite 
Geostationary satellites 
Properties of bulk matter 

Elastic behaviour, stressstrain relationship, Hooke’s law, Young’s modulus, bulk modulus, shear, modulus of rigidity 
Pressure due to a fluid column; Pascal’s law and its applications (hydraulic lift and hydraulic brakes) 
Effect of gravity on fluid pressure 
Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow 
Bernoulli’s theorem and its applications 
Surface energy and surface tension, angle of contact, application of surface tension ideas to drops, bubbles and capillary rise 
Heat, temperature, thermal expansion; change of statelatent heat 
Heat transferconduction, convection and radiation, thermal conductivity 
Thermodynamics 

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics) 
Heat, work, and internal energy 
First law of thermodynamics 
Isothermal and adiabatic process 
Second law of thermodynamics: reversible and irreversible processes 
Heat engines and refrigerators 
Behaviour of perfect gas and kinetic theory 

Equation of state of perfect gas, work done on compressing a gas 
Kinetic theory of gasesassumptions, concept of pressure 
Kinetic Interpretation of temperature; RMS speed of gas molecules; degrees of freedom, law of equipartition of energy (statement only) and application to specific heats of gases; concept of mean free path, Avogadro’s number 
Oscillations and waves 

Periodic motionperiod, frequency, displacement as a function of time 
Periodic functions 
Simple harmonic motion (S.H.M) and its equation; oscillations of a springrestoring force and force constant; energy in S.H.M.kinetic and potential energies; simple pendulumderivation of expression for its time period 
Free, forced and damped oscillations (qualitative ideas only), resonance 
Wave motion 
Longitudinal and transverse waves, speed of wave motion 
Displacement relation for a progressive wave 
Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, beats, Doppler effect 
Electrostatics 

Electric charges, conservation of charge, Coulomb’s lowforce between two point charges forces between multiple charges, superposition principle and continuous charge distribution 
Electric field, electric field due to a point charge, electric field lines; electric dipole electric field due to a dipole torque on a dipole in uniform electric field 
Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire uniformly charges infinite plane sheet and uniformly charged thin spherical shell (field inside and outside) 
Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charge; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field 
Conductors and insulators, free charges and bound charges inside a conductor 
Dielectrics and electric polarization, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor 
Current electricity 

Electric current flow of electric chargers in a metallic conductor drift velocity, mobility and their relation with electric current; Ohm’s Law electrical resistance, VI characteristics (linear and nonlinear), electrical energy and power 
Electrical resistivity and conductivity 
Carbon resistors colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance 
Internal resistance of a cell, potential difference and EMF of a cell combination of cells in series and in parallel 
Kirchhoff’s laws and simple applications 
Wheatstone bridge and metre bridge 
Potentiometerprinciple and its applications to measure potential difference and for comparing EMF of two cells; measurement of internal resistance of a cell 
Magnetic effects of current and magnetism 

Concept of magnetic field, Oersted’s experiment 
BiotSavart law and its application to current carrying circular loop 
Ampere’s law and its applications to infinitely long straight wire, straight and toroidal solenoids 
Force on a moving charge in uniform magnetic and electric fields 
Cyclotron 
Force on a currentcarrying conductor in a uniform magnetic field 
Force between two parallel currentcarrying conductorsdefinition of ampere 
Torque experienced by a current loop in uniform magnetic field; moving coil galvanometerits current sensitivity and conversion to ammeter and voltmeter 
Current loop as a magnetic dipole and its magnetic dipole moment 
Magnetic dipole, moment of a revolving electron, magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis 
Torque on magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid magnetic field line; earth’s magnetic field and magnetic elements para, dia, and ferro magnetic substances, with examples 
Electromagnets and factors of affecting their strengths 
Permanent magnets 
Electromagnetic induction and alternating currents 

Electromagnetic induction; Faraday’s law 
Induced EMF and current; Lenz’s law, Eddy current self and mutual induction 
Alternating currents, peak and RMS value of alternating; current/ voltage, reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in A.C. circuits wattles current 
A.C. generator and transformer 
Electromagnetic waves 

Displacement current, electromagnetic wave and their characteristics (qualitative ideas only), transverse nature of electromagnetic waves 
Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, xrays, gamma rays) including elementary facts about their uses 
Optics 

Reflection of light spherical mirrors, mirror formula refraction of light, total internal reflection and its applications, optical fibres refraction at spherical surfaces, lenses thin lens formula lens maker’s formula 
Magnification power of a lens, combination of thin lenses in contract 
Refraction and dispersion of light through a prism 
Scattering of lightblue colour of the sky and reddish appearance of the sun at sunrise and sunset 
Optical instruments: Microscopes and astronomical telescopes (reflecting and refraction) and their magnifying powers 
Waves optics: Wave front and Huygens principle reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygen’s principle. Interference 
Waves optics: Young’s double slit experiment and expression for fringe width coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes 
Waves optics: Polarization, plane polarized light; Brewster’s law. Uses of plane polarized light and polaroids 
Dual nature of matter and radiation 

Dual nature of radiation, photoelectric, Hertz and Lenard’s observations; Einstein’s photoelectric equationparticle nature of light 
Matter waveswave nature of particles, de Broglie relation 
Davissiongermer experiment 
Atoms and nuclei 

Alphaparticle scattering experiment, Rutherford’s model of atom; Bohr model, energy levels hydrogen spectrum 
Composition and size of nucleus, radioactivityalpha, beta and gamma particles/ rays and their properties; radioactive decay law, massenergy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission 
Nuclear fusion 
Electronic devices 

Semiconductors; semiconductor diodeIV characteristics in forward and reverse bias, diode as a rectifier; IV characteristics of LED, photodiode, solar cell and Zener diode: Zener diode as a voltage regulator 
Junction transistor, transistor action characteristics of a transistor; transistor as an amplifier (common emitter configuration) 
Logic gates (or, and, not, nand and nor) 
Communication systems 

Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium 
Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation 
Need for modulation 
Amplitudemodulate wave 
ChemistryClassXI
Some basic concepts of chemistry 

General introduction: Importance and scope of chemistry 
Historical approach to particulate nature of matter, laws of chemical combination, Dalton’s atomic theory: Concept of elements, atoms and molecules 
Atomic and molecular masses 
Mole concept and molar mass; percentage composition and empirical and molecular formula; chemical reactions, stoichiometry and calculations based on stoichiometry 
Structure of atom 

Discovery of electron, proton and neutron; atomic number, isotopes and isobars 
Thompson’s model and its limitations, Rutherford’s model and its limitations, Bohr’s model and its limitations, concept of shells and subshells, dual nature of matter and light, De Broglie’s relationship, Heisenberg uncertainty principle 
Concept of orbitals, quantum numbers, shapes of s, p, and d orbitals, rules for filling electrons in orbitals Aufbau principle, Pauli exclusion principle and Hund’s rule, electronic configuration of atoms 
Stability of half filled and completely filled orbitals 
Classification of elements and periodicity in properties 

Significance of classification, brief history of the development of periodic table, modern periodic law and the present form of periodic table, periodic trends in properties of elementsatomic radii, ionic radii, inert gas radii, ionization enthalpy 
Periodic trends in properties of elementselectron gain enthalpy, electronegativity, valence, nomenclature of elements with atomic number greater than 100 
Chemical bonding and molecular structure 

Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory 
Concept of hybridization involving s, p, and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only) 
Hydrogen bond 
States of matter: gases and liquids 

Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule, Boyle’s law, Charle’s law, Gay Lussac’s law, Avogadro’s law, ideal behaviour 
Empirical derivation of gas equation, Avogadro number, ideal gas equation 
Deviation from ideal behaviour, liquefaction of gases, critical temperature, kinetic energy and molecular speeds (elementary idea) 
Liquid statevapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations) 
Thermodynamics 

Concepts of system, types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions 
First law of thermodynamicsinternal energy and enthalpy, heat capacity and specific heat, measurement of ∆U and ∆H, Hess’s law of constant heat summation, enthalpy of: Bond dissociation, combustion, formation, atomization, sublimation 
Enthalpy of: Phase transition, ionization, solution and dilution 
Introduction of entropy as a state function, second law of thermodynamics, Gibbs energy change for spontaneous and nonspontaneous process, criteria for equilibrium 
Equilibrium 

Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibriumLe Chatelier’s principle; ionic equilibriumionization of acids and bases, strong and weak electrolytes 
Degree of ionization, ionization of polybasic acids, acid strength, concept of pH, hydrolysis of salts (elementary idea), 4 buffer solutions, Henderson equation, solubility product, common ion effect (with illustrative examples) 
Redox reactions: Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions in terms of loss and gain of electron and change in oxidation numbers, applications of redox reactions 
Hydrogen 

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen; hydridesionic, covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxidepreparation, reactions 
Hydrogen peroxideuse and structure; hydrogen as a fuel 
Sblock elements (alkali and alkaline earth metals) 

Group 1 and group 2 elements: General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship 
Group 1 and group 2 elements: Trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens; uses 
Preparation and properties of some important compounds: Sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogencarbonate, biological importance of sodium and potassium 
CaO, CaCO, and industrial use of lime and limestone, biological importance of Mg and Ca 
Some pblock elements 

General Introduction to pblock elements 
Group 13 elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of first element of the group; boronphysical and chemical properties 
Group 13 elements: Boronsome important compounds; borax, boric acids, boron hydrides. Aluminium: uses, reactions with acids and alkalies. 
Group 14 elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous beheaviour of first element. Carboncatenation, allotropic forms 
Group 14 elements: Carbonphysical and chemical properties; uses of some important compounds: oxides 
Organic chemistrysome basic principles and techniques 

General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds 
Electronic displacements in a covalent bond: Inductive effect, electrometric effect, resonance and hyper conjugation 
Homolytic and heterolytic fission of a covalent bond: Free radicals, carbocations, carbonions; electrophiles and nucleophiles, types of organic reactions 
Hydrocarbons 

Classification of Hydrocarbons 
Aliphatic hydrocarbons: Alkanesnomenclature, isomerism, conformations (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis 
Aliphatic hydrocarbons: Alkenesnomenclature, structure of double bond (ethane), geometrical isomerism, physical properties, methods of preparation; chemical reactions: Addition of hydrogen, halogen, water 
Aliphatic hydrocarbons: Alkeneschemical reactions: Hydrogen halides (Markovnikov’s addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition 
Aliphatic hydrocarbons: Alkynesnomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: Acidic character of alkynes, addition reaction ofhydrogen, halogens, hydrogen halides and water 
Aromatic hydrocarbons: Introduction, IUPAC nomenclature; benzene: Resonance, aromaticity; chemical properties: Mechanism of electrophilic substitutionnitration sulphonation, halogenation, Friedel Craft’s alkylation and acylation 
Aromatic hydrocarbons: Directive influence of functional group in monsubstituted benzene; carcinogenicity and toxicity 
Environmental chemistry 

Environmental pollutionair, water and soil pollution, chemical reactions in atmosphere, smogs, major atmospheric pollutants; acid rain, ozone and its reactions, effects of depletion of ozone layer 
Greenhouse effect and global warmingpollution due to industrial wastes; green chemistry as an alternative tool for reducing pollution, strategy for control of environmental pollution 
ChemistryClassXII
Solid state 

Classificatioin of solids based on different binding forces molecular, ionic covalent and metallic solids, amorphous and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices 
Calculations of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects electrical and magnetic properties, band theory of metals, conductors 
Semiconductors and insulators and n and p type semiconductors 
Solutions 

Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in liquids, solid solutions, colligative propertiesrelative lowering of vapour pressure, Raoult’s law, elevation of B.P., depression of freezing point 
Osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass, Vant Hoff factor 
Electrochemistry 

Redox reactions; conductance in electrylytic solutions, specific and molar conductivity variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis (elementary idea) 
Dry cell electrolytic cells and galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells. Relation between Gibbs energy change and EMF of a cell, fuel cells; corrosion 
Chemical kinetics 

Rate of a reaction (average and instantaneous), factors affecting rates of reaction: Concentration, temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant 
Integrated rate equations and half life (only for zero and first order reactions); concept of collision theory (elementary idea, no mathematical treatment) 
Activation energy, Arrhenious equation 
Surface chemistry 

Adsorptionphysisorption and chemisorption; factors affecting adsorption of gases on solids; catalysis thomogenous and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state: distinction between true solutions, colloids and suspensions 
Lyophillic, lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsions 
General principles and processes of isolation of elements 

Principles and methods of extractionconcentration, oxidation, reduction electrolytic method and refining; occurrence and principles of extraction of aluminium, copper, zinc and iron 
Pblock elements 

Group 15 elements: General introduction, electronic configuration, occurrence, oxidation states, trends in physical and chemical properties; nitrogenpreparation, properties and uses 
Group 15 elements: Compounds of nitrogenpreparation and properties of ammonia and nitric acid, oxides of nitrogen (structure only); phosophorousallotropic forms 
Group 15 elements: Compounds of phosphorouspreparation and properties of phosphine, halides (PCI, PCI) and oxoacids (elementary idea only) 
Group 16 elements: General introduction, electronic configuration, oxidationi states, occurrence, trends in physical and chemical properties; dioxygen: Preparation, properties and uses; classification of oxides; ozone. Sulphurallotropic forms 
Group 16 elements: Sulphurcompounds of sulphur: Preparation, properties and uses of sulphur dioxide; sulphuric acid: Industrial process of manufacture, properties and uses, oxoacids of sulphur (structures only) 
Group 17 elements: General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; compounds of halogens: Preparation, properties and uses of chlorine and hydrochloric acid, interhalogen compounds 
Group 17 elements: Compounds of halogensoxoacids of halogens (structures only) 
Group 18 elements: General introduction, electronic configuration, occurrence, trends in physical and chemical properties, uses, compounds of xenon and their structure 
D and fblock elements 

General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first row transition metalsmetallic character, ionization enthalpy, oxidation states, ionic radii, colour 
General trends in properties of the first row transition metalscatalytic property, magnetic properties, interstitial compounds, alloy formation 
Preparation and properties of KCrO and KMnO 
Lanthanoidselectronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences 
Actinoidselectronic configuration, oxidation states and comparison with lanthenoids 
Coordination compounds 

Coordination compounds: Introduction, ligands, coordination number, colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding, Werner’s theory VBT, CFT 
Coordination compounds: Isomerism (structural and stereo) importance of coordination compounds (in qualitative inclusion, extraction of metals and biological systems) 
Haloalkanes and Haloarenes 

Haloalkanes: Nomenclature, nature of CX bond, physical and chemical properties, mechanism of substitution reactions. Optical rotation 
Haloarenes: Nature of CX bond, substitution reactions (directive influence of halogen for monosubstituted compounds only) 
Uses and environmental effects ofdichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT 
Alcohols, phenols, and ethers 

Alcohols: Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only); identification of primary, secondary and tertiary alcohols; mechanism of dehydration, uses, with special reference to methanol and ethanol 
Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophillic substitution reaction, uses of phenols 
Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses 
Aldehydes, ketones, and carboxylic acids 

Aldehydes and ketones: Nomenclature, nature of carbonyl group, method of preparation, physical and chemical properties, and mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes; uses 
Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses 
Organic compounds containing nitrogen 

Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary secondary and tertiary amines 
Cyanides and isocyanides: Will be mentioned at relevant places in context 
Diazonium salts: Preparation, chemical reactions and importance in synthetic organic chemistry 
Biomolecules 

Carbohydrates: Classification (aldoses and ketoses), monosaccharide (glucose and fructose), DL configuration, oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen); importance 
Proteins: Elementary idea ofamino acids, peptide bond, polypeptides, proteins, primary structure, secondary structure, tertiary structure and quaternary structure (qualitative idea only), denaturation of proteins; enzymes 
Hormones: Elementary idea (excluding structure) 
Vitamins: Classification and functions 
Nucleic acids: DNA and RNA 
Polymers 

Classification: Natural and synthetic, methods of polymerization (addition and condensation), copolymerization, some important polymers; natural and synthetic like polythene, nylon, polyesters, bakelite, rubber 
Classification: Biodegradable and nonbiodegradable polymers 
Chemistry in everyday life 

Chemicals in medicines: Analgesics, tranqualizers, antiseptic, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antithistamines 
Chemicals in food: Preservatives, artificial sweetening agents, elementary idea of antioxidants 
Cleansing agents: Soaps and detergents, cleansing action 
MathematicsClassXI
Sets and functions 

Sets: Sets and their representations. Empty set. Finite and infinite sets. Equal sets. Subsets. Subsets of the set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and intersection of sets 
Sets: Difference of sets. Complement of a set 
Relations and functions: Orders pairs, Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain 
Relations and functions: Codomain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, codomain and range of a function. Real valued function of the real variable 
Relations and functions: Domain and range of these functions, constant, identity, polynomial, rational modulus, signum and greatest integer functions with their graphs, sum, difference, product and quotients of functions 
Trignometric functions: Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle 
Trignometric functions: Truth of the identity sin2 x + cos2 x = 1 for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x+y) in terms of sin x, sin y, cos x and cos y 
Trignometric functions: Deducing the identities like the followingtan (x ± y) = tan x ± tan y/ 1 ± tan x tan y, cot (x ± y) = cot x cot y ± 1/ cot y cot x 
Trignometric functions: Deducing the identities like the followingSin x + Sin y = 2 Sin (x + y/ 2) cos (x  y)/ 2 Cos (x y)/ 2 Cos x + Cos y = 2 Cos (x + y)/ 2 Cos (x – y)/ 2 
Trignometric functions: Deducing the identities like the followingSin x  Sin y = 2 Cos (x + y/ 2) Sin (x  y)/ 2 Cos x – Cos y = 2 Sin (x + y/ 2) sin (x – y/ 2) 
Trignometric functions: Identities related to sin 2 x, cos 2 x, tan 2 x, sin 3 x, cos 3 x and tan 3 x. General solution of trigonometric equiations of the type sin θ = sin alpha 
Algebra 

Principle of mathematical induction: Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications 
Complex numbers and quadratic equations: Need for complex numbers, especially √ 1 , to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers 
Complex numbers and quadratic equations: Argand plane and polar representation of complex numbers. Statement of fundamental theorem of algebra, solution of quadratic equations in the complex number system 
Linear inequalites: Linear inequalities, algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables 
Linear inequalites: Solution of system of linear inequalities in two variables graphically 
Permutations and combinations: Fundamental principle of counting. Factorial n (n1) permutations and combinations, derivation of formulae and their connections, simple applications 
Binomial theorem: History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, general and middle term in binomial expansion, simple applications 
Sequence and series: Sequence and series, arithmetic progression (A.P.), arithmetic mean (A.M.) geometric progression (G.P., general term of a G.P., sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G.M 
Sequence and series: Sum to n terms of the special series ∑n , ∑n and ∑n . 
Coordinate geometry 

Straight lines: Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: Parallel to axes, pointslope form, slope intercept form, two point form, intercepts form and normal form 
Straight lines: General equation of a line. Distance of a point from a line 
Conic section: Sections of a conecircle, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of conic section. Standard equations and simple properties of parabola, ellipse and hyperbola 
Conic section: Standard equation of a circle 
Introduction to three dimensional geometry: Coordinate axes and coordinate planes in three dimensions. Coordinatoes of a point. Distance between two points and section formula 
Calculas 

Limits and derivatives: Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference 
Limits and derivatives: Product and quotient of functions. Derivatives of polynomial and trigonometric functions 
Mathematical reasoning 

Mathematical reasoning: Mathematically acceptable statements. Connecting words/ phrasesconsolidating the understanding of “if and only if (necessary and sufficient) condition”, implies”, and/ or”, implied by, “and”, “or” 
Mathematical reasoning: Connecting words/ phrasesconsolidating the understanding of “there exists” and their use through variety of examples related to real life and mathematics 
Mathematical reasoning: Validating the statements involving the connecting wordsdifference between contradiction, converse and contrapositive 
Probability: Random experimentsoutcomes, sample, spaces (set representation). Events: Occurrence of events, `not’, `and’ and `or’ events, exhaustive events, mutually exclusive events, axiomatic (set theoretic) probability 
Probability: Connections with the theories of earlier classes. Probability of an event, Probability of `not’, `and’ and `or’ events 
MathematicsClassXII
Relations and Functions 

Relations and functions: Types of relationsreflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations 
Inverse trigonometric functions: Definition, range, domain, principal value branches, graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions 
Algebra 

Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and kew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition 
Matrices: Multiplication and scalar multiplication. Non commutativity of multiplication of matrices and existence of non zero matrices whose product is the zero matrix (restrict to square matrices of order 2) 
Matrices: Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists (here all matrices will have real entries) 
Determinants: Determinant of a square matrix (upto 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. A joint and inverse of a square matrix 
Determinants: Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix 
Applications of derivatives: Maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool) 
Applications of derivatives: Simple problems (that illustrate basic principles and understanding of the subject as well as real life situations) 
Integrals: Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type: ∫ dx/ x ± a, ∫ dx/ x ± a, ∫ dx/ √ a  x, ∫ dx/ ax + bx + c 
Integrals: Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type: ∫ dx/ √ ax + bx + c, ∫ (px + q)/ ax + bx + c dx, ∫ (px + q)/ √ ax + bx + c dx, ∫ √ a ± xdx 
Integrals: Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type: ∫ √ x  adx to be evaluated 
Integrals: Define integrals as a limit of sum, Fundamental theorem of calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals 
Applications of the integrals: Applications in findings the area under simple curves, especially lines, areas of circles/ parabolas/ ellipse (in standard form only), area between the two above said curves (the region should be clearly identifiable) 
Differential equations: Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables 
Differential equations: Homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type: dx/ dy + py = q, where p and q are functions of x 
Calculas 

Continuity and differentiability: Continuity and Differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit function 
Continuity and differentiability: Concept of exponential and logarithmic functions and their derivative. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives 
Continuity and differentiability: Rolle’s and Lagrange’s mean value theorems (without proof) and their geometric interoperations 
Applications of derivatives: Applications of derivativesrate of change, increasing/ decreasing functions, tangents and normal, approximation 
Vectors and three dimensional geometry 

Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines/ ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector 
Vectors: Addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors 
Threedimensional geometry: Direction cosines/ ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane 
Threedimensional geometry: Angle between(i) two lines, (ii) two planes, (iii) a line and plane. Distance of a point from a plane 
Linear programming 

Linear programming: Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming (LP) problems, mathematical formulation of LP, problems 
Linear programming: Graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optional feasible solutions (upto three non trivial constraints) 
Probability 

Probability: Multiplication theorem on probability, conditional probability, independent events, total probability, Baye’s theorem, random Variable and its probability distribution, mean and variance of random variable 
Probability: Repeated independent (Bernoulli) trials and binomial distribution 
AMU Entrance Test B.A. L.L.B Syllabus
General English
Current affairs/ general knowledge (with emphasis on legal issue)
Reasoning and aptitude
AMU Entrance Test B.A.(Hons) Syllabus
English
Comprehension at paragraph and sentence levels 

Identification of common errors 

Grammar and usage 

Vocabulary 

Word formation, synonyms, antonyms, pairing of words 
Sentence structure and construction 

Prepositions 

Completion of sentences 

General awareness and current affairs
Indian constitution 

Political theory 

Indian polity 

Pre and post independence 

Contemporary world politics 

Human rights 

Archaeology and ancient India 

History of medieval and modern India 

Introductory world history 

Human geography 

India 

Introductory physical geography; Indian physical environment 
Foundations of psychology 

Psychology 

Self and society 

Games and sports 

Awards and honours 

Abbreviations and acronyms 

Prominent books and authors 

Reasoning and intelligence
Verbal reasoning and verbal analogy 

Letter series 

Number series 

Syllogism 

Terms and prepositions 

Indoislamic, culture theology, aligarh movement
Main tenets of Islam 

Sufism and Bhakti movement 

Religious coexistence 

Akbar: Major medieval monuments 
Encounter with modern culture 

Sir Syed Ahmad Khan and his companions, Aligarh movement 
AMU Entrance Test B.Com(Hons) Syllabus
English
Comprehension at paragraph and sentence levels 

Identification of common errors 

Grammar and usage 

Vocabulary 

Word formation, synonyms, antonyms, pairing of words 
Sentence structure and construction 

Prepositions 

Completion of sentences 

Accountancy
Accounting for nonprofit organizations 

Partnership accounting 

Goodwill, admission, retirement and death of partner and dissolution of partnership firms 
Company accounts 

Issue of shares and debentures, forfeiture and reissue, redemption of shares and debentures, final accounts of companies 
Analysis of financial statements 

Ratio analysisprofitability, liquidity, solvency and activity ratios, cash and (as per revised standard issued by ICAI) 
Computerized accounting system 

Concepts, features and structures 
Business studies
Nature, functions and principles of management 

Business finance 

Financial management, financial plans, money market, stock exchange and SEBI 
Marketing management 

Concept, functions and marketing mix 
Consumer protection 

Consumer rights, consumer awareness and redressal system 
Economics
Consumer and producer’s equilibrium 

Laws and demand and supply 

Forms of markets and price determination 

National income 

Money and banking 

Determination of income and employment 

Government budget 

Elementary mathematics and statistics
Statistics 

Collection, organization and presentation of data; measures of central tendencymean (simple and weighted), median and mode; measures of dispersionabsolute dispersion (range, quartile deviation, mean deviation, standard deviation) 
Relative dispersion (coefficient of quartile deviation, coefficient of mean deviation, coefficient of variation); correlationmeasures of correlation; introduction to index numbers; probability 
Reasoning and numerical ability
Critical 

Analytical 

Verbal 

Logical 

Data interpretation 

General awareness
Indian economy 

World organizations 

Indian and world geography 

Indian polity and constitution 

General science and technology 

Sports, awards and corporate affairs 

AMU Entrance Test B.Sc.(Hons) Syllabus
English
Unseen passage 

Vocabulary 

Grammar 

Tenses, clauses, gapfilling, errorcorrection of words and sentences 
Physics
Physical world and measurement 

Kinematics 

Laws of motion 

Work, energy, and power 

Motion of system of particles and rigid body 

Gravitation 

Properties of bulk matter 

Thermodynamics 

Behaviour for perfect gas and kinetic theory of gases 

Oscillations and waves 

Electrostatistics 

Current electricity 

Magnetic effect of current and magnetism 

Electromagnetic induction and alternating current 

Electromagnetic waves 

Optics 

Dual nature of matter 

Atoms and nuclei 

Electronic devices 

Communication system 

Mathematics
Sets 

Relations and Functions 

Mathematical induction 

Complex numbers 

Linear inequalities 

Quadratic equations 

Sequences and series 

Trigonometric functions 

Cartesian system of rectangular coordinates 

Straight lines and family of straight lines 

Circles 

Conic section 

Permutation and combination 

Binomial theorem 

Mathematical reasoning 

Statistics 

Three dimensional geometry 

Vectors 

Matrices and determinants 

Probability 

Function, limits, and continuity 

Differentiation 

Application of derivatives 

Indefinite integrals 

Definite integrals 

Differential equations 

Applications of integrals 

Linear programming 

ChemistryClassXI
Some basic concepts of chemistry 

General introduction: Importance and scope of chemistry 
Historical approach to particulate nature of matter, laws of chemical combination, Dalton’s atomic theory: Concept of elements, atoms and molecules 
Atomic and molecular masses 
Mole concept and molar mass; percentage composition and empirical and molecular formula; chemical reactions, stoichiometry and calculations based on stoichiometry 
Structure of atom 

Discovery of electron, proton and neutron; atomic number, isotopes and isobars 
Thompson’s model and its limitations, Rutherford’s model and its limitations, Bohr’s model and its limitations, concept of shells and subshells, dual nature of matter and light, De Broglie’s relationship, Heisenberg uncertainty principle 
Concept of orbitals, quantum numbers, shapes of s, p, and d orbitals, rules for filling electrons in orbitals Aufbau principle, Pauli exclusion principle and Hund’s rule, electronic configuration of atoms 
Stability of half filled and completely filled orbitals 
Classification of elements and periodicity in properties 

Significance of classification, brief history of the development of periodic table, modern periodic law and the present form of periodic table, periodic trends in properties of elementsatomic radii, ionic radii, inert gas radii, ionization enthalpy 
Periodic trends in properties of elementselectron gain enthalpy, electronegativity, valence, nomenclature of elements with atomic number greater than 100 
Chemical bonding and molecular structure 

Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory 
Concept of hybridization involving s, p, and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only) 
Hydrogen bond 
States of matter: gases and liquids 

Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule, Boyle’s law, Charle’s law, Gay Lussac’s law, Avogadro’s law, ideal behaviour 
Empirical derivation of gas equation, Avogadro number, ideal gas equation 
Deviation from ideal behaviour, liquefaction of gases, critical temperature, kinetic energy and molecular speeds (elementary idea) 
Liquid statevapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations) 
Thermodynamics 

Concepts of system, types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions 
First law of thermodynamicsinternal energy and enthalpy, heat capacity and specific heat, measurement of ∆U and ∆H, Hess’s law of constant heat summation, enthalpy of: Bond dissociation, combustion, formation, atomization, sublimation 
Enthalpy of: Phase transition, ionization, solution and dilution 
Introduction of entropy as a state function, second law of thermodynamics, Gibbs energy change for spontaneous and nonspontaneous process, criteria for equilibrium 
Equilibrium 

Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibriumLe Chatelier’s principle; ionic equilibriumionization of acids and bases, strong and weak electrolytes 
Degree of ionization, ionization of polybasic acids, acid strength, concept of pH, hydrolysis of salts (elementary idea), 4 buffer solutions, Henderson equation, solubility product, common ion effect (with illustrative examples) 
Redox reactions: Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions in terms of loss and gain of electron and change in oxidation numbers, applications of redox reactions 
Hydrogen 

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen; hydridesionic, covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxidepreparation, reactions 
Hydrogen peroxideuse and structure; hydrogen as a fuel 
Sblock elements (alkali and alkaline earth metals) 

Group 1 and group 2 elements: General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship 
Group 1 and group 2 elements: Trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens; uses 
Preparation and properties of some important compounds: Sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogencarbonate, biological importance of sodium and potassium 
CaO, CaCO, and industrial use of lime and limestone, biological importance of Mg and Ca 
Some pblock elements 

General Introduction to pblock elements 
Group 13 elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of first element of the group; boronphysical and chemical properties 
Group 13 elements: Boronsome important compounds; borax, boric acids, boron hydrides. Aluminium: uses, reactions with acids and alkalies. 
Group 14 elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous beheaviour of first element. Carboncatenation, allotropic forms 
Group 14 elements: Carbonphysical and chemical properties; uses of some important compounds: oxides 
Organic chemistrysome basic principles and techniques 

General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds 
Electronic displacements in a covalent bond: Inductive effect, electrometric effect, resonance and hyper conjugation 
Homolytic and heterolytic fission of a covalent bond: Free radicals, carbocations, carbonions; electrophiles and nucleophiles, types of organic reactions 
Hydrocarbons 

Classification of Hydrocarbons 
Aliphatic hydrocarbons: Alkanesnomenclature, isomerism, conformations (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis 
Aliphatic hydrocarbons: Alkenesnomenclature, structure of double bond (ethane), geometrical isomerism, physical properties, methods of preparation; chemical reactions: Addition of hydrogen, halogen, water 
Aliphatic hydrocarbons: Alkeneschemical reactions: Hydrogen halides (Markovnikov’s addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition 
Aliphatic hydrocarbons: Alkynesnomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: Acidic character of alkynes, addition reaction ofhydrogen, halogens, hydrogen halides and water 
Aromatic hydrocarbons: Introduction, IUPAC nomenclature; benzene: Resonance, aromaticity; chemical properties: Mechanism of electrophilic substitutionnitration sulphonation, halogenation, Friedel Craft’s alkylation and acylation 
Aromatic hydrocarbons: Directive influence of functional group in monsubstituted benzene; carcinogenicity and toxicity 
Environmental chemistry 

Environmental pollutionair, water and soil pollution, chemical reactions in atmosphere, smogs, major atmospheric pollutants; acid rain, ozone and its reactions, effects of depletion of ozone layer 
Greenhouse effect and global warmingpollution due to industrial wastes; green chemistry as an alternative tool for reducing pollution, strategy for control of environmental pollution 
ChemistryClassXII
Solid state 

Classificatioin of solids based on different binding forces molecular, ionic covalent and metallic solids, amorphous and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices 
Calculations of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects electrical and magnetic properties, band theory of metals, conductors 
Semiconductors and insulators and n and p type semiconductors 
Solutions 

Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in liquids, solid solutions, colligative propertiesrelative lowering of vapour pressure, Raoult’s law, elevation of B.P., depression of freezing point 
Osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass, Vant Hoff factor 
Electrochemistry 

Redox reactions; conductance in electrylytic solutions, specific and molar conductivity variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis (elementary idea) 
Dry cell electrolytic cells and galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells. Relation between Gibbs energy change and EMF of a cell, fuel cells; corrosion 
Chemical kinetics 

Rate of a reaction (average and instantaneous), factors affecting rates of reaction: Concentration, temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant 
Integrated rate equations and half life (only for zero and first order reactions); concept of collision theory (elementary idea, no mathematical treatment) 
Activation energy, Arrhenious equation 
Surface chemistry 

Adsorptionphysisorption and chemisorption; factors affecting adsorption of gases on solids; catalysis thomogenous and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state: distinction between true solutions, colloids and suspensions 
Lyophillic, lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsions 
General principles and processes of isolation of elements 

Principles and methods of extractionconcentration, oxidation, reduction electrolytic method and refining; occurrence and principles of extraction of aluminium, copper, zinc and iron 
Pblock elements 

Group 15 elements: General introduction, electronic configuration, occurrence, oxidation states, trends in physical and chemical properties; nitrogenpreparation, properties and uses 
Group 15 elements: Compounds of nitrogenpreparation and properties of ammonia and nitric acid, oxides of nitrogen (structure only); phosophorousallotropic forms 
Group 15 elements: Compounds of phosphorouspreparation and properties of phosphine, halides (PCI, PCI) and oxoacids (elementary idea only) 
Group 16 elements: General introduction, electronic configuration, oxidationi states, occurrence, trends in physical and chemical properties; dioxygen: Preparation, properties and uses; classification of oxides; ozone. Sulphurallotropic forms 
Group 16 elements: Sulphurcompounds of sulphur: Preparation, properties and uses of sulphur dioxide; sulphuric acid: Industrial process of manufacture, properties and uses, oxoacids of sulphur (structures only) 
Group 17 elements: General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; compounds of halogens: Preparation, properties and uses of chlorine and hydrochloric acid, interhalogen compounds 
Group 17 elements: Compounds of halogensoxoacids of halogens (structures only) 
Group 18 elements: General introduction, electronic configuration, occurrence, trends in physical and chemical properties, uses, compounds of xenon and their structure 
D and fblock elements 

General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first row transition metalsmetallic character, ionization enthalpy, oxidation states, ionic radii, colour 
General trends in properties of the first row transition metalscatalytic property, magnetic properties, interstitial compounds, alloy formation 
Preparation and properties of KCrO and KMnO 
Lanthanoidselectronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences 
Actinoidselectronic configuration, oxidation states and comparison with lanthenoids 
Coordination compounds 

Coordination compounds: Introduction, ligands, coordination number, colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding, Werner’s theory VBT, CFT 
Coordination compounds: Isomerism (structural and stereo) importance of coordination compounds (in qualitative inclusion, extraction of metals and biological systems) 
Haloalkanes and Haloarenes 

Haloalkanes: Nomenclature, nature of CX bond, physical and chemical properties, mechanism of substitution reactions. Optical rotation 
Haloarenes: Nature of CX bond, substitution reactions (directive influence of halogen for monosubstituted compounds only) 
Uses and environmental effects ofdichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT 
Alcohols, phenols, and ethers 

Alcohols: Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only); identification of primary, secondary and tertiary alcohols; mechanism of dehydration, uses, with special reference to methanol and ethanol 
Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophillic substitution reaction, uses of phenols 
Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses 
Aldehydes, ketones, and carboxylic acids 

Aldehydes and ketones: Nomenclature, nature of carbonyl group, method of preparation, physical and chemical properties, and mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes; uses 
Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses 
Organic compounds containing nitrogen 

Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary secondary and tertiary amines 
Cyanides and isocyanides: Will be mentioned at relevant places in context 
Diazonium salts: Preparation, chemical reactions and importance in synthetic organic chemistry 
Biomolecules 

Carbohydrates: Classification (aldoses and ketoses), monosaccharide (glucose and fructose), DL configuration, oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen); importance 
Proteins: Elementary idea ofamino acids, peptide bond, polypeptides, proteins, primary structure, secondary structure, tertiary structure and quaternary structure (qualitative idea only), denaturation of proteins; enzymes 
Hormones: Elementary idea (excluding structure) 
Vitamins: Classification and functions 
Nucleic acids: DNA and RNA 
Polymers 

Classification: Natural and synthetic, methods of polymerization (addition and condensation), copolymerization, some important polymers; natural and synthetic like polythene, nylon, polyesters, bakelite, rubber 
Classification: Biodegradable and nonbiodegradable polymers 
Chemistry in everyday life 

Chemicals in medicines: Analgesics, tranqualizers, antiseptic, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antithistamines 
Chemicals in food: Preservatives, artificial sweetening agents, elementary idea of antioxidants 
Cleansing agents: Soaps and detergents, cleansing action 
BiologyClassXI (Botany)
Diversity of living organisms 

The living world: What is living?, biodiversity; need for classification; three domains of life; taxonomy and systematics; concept of species and taxonomical hierarchy; binomial nomenclature; tools for study of taxonomymuseums, zoological parks, herbaria 
The living world: Tools for study of taxonomybotanical gardens 
Biological classification five kingdom: Classification; salient features and classification of monera, protista and fungi into major groups: Lichens, viruses and viroids 
Plant kingdom: Salient features and classification of plants into major groupsalgae, bryophyta, pteridophyta, gymnospermae and angiospermae (three to five salient and distinguishing features and at least two examples of each category) 
Plant kingdom: Angiospermsclassification upto class, characteristic features and examples 
Animal kingdom: Salient features and classification of animals nonchordates up to phyla level and chordates up to class level (three to five salient features and at least two examples of each category) (no live animals or specimen should be displayed) 
Structural organization in animals and plants 

Morphology of flowering plants: Morphology and modificationsinflorescence, flower, fruit and seed 
Anatomy of flowering plants: Anatomy and functions of different parts of flowering plantsroot, stem, leaf, tissue (to be dealt along with the relevant experiment of the practical syllabus) 
Structural organisation in animals: Animal tissuesmorphology, anatomy and functions of different systems (digestive, circulatory, respiratory, nervous and reproductive) of an insect (cockroach) (a brief account only) 
Cell: structure and function 

Cellthe unit of life: Cell theory and cell as the basic unit of lifestructure of prokaryotic and eukaryotic cells; plant cell and animal cell; cell envelope; cell membrane, cell wall; cell organellesstructure and function; endomembrane system 
Cellthe unit of life: Endoplasmic reticulum, golgi bodies, lysosomes, vacuoles; mitochondria, ribosomes, plastids, microbodies; cytoskeleton, cilia, flagella, centrioles (ultrastructure and function); nucleus, nuclear membrane, chromatin, nucleolus 
Biomolecules: Chemical constituents of living cellsbiomolecules, structure and function of proteins, carbohydrates, lipids, nucleic acids, enzymes, types, properties, enzyme action 
Cell cycle and cell division: Cell cycle, mitosis, meiosis and their significance 
Plant physiology 

Transport in plants: Movement of water, gases and nutrients; cell to cell transport, diffusion, facilitated diffusion, active transport; plantwater relations, imbibition, water potential, osmosis, plasmolysis; long distance transport of waterabsorption 
Transport in plants: Long distance transport of waterapoplast, symplast, transpiration pull, root pressure and guttation; transpiration, opening and closing of stomata; uptake and translocation of mineral nutrientstransport of food, phloem transport 
Transport in plants: Uptake and translocation of mineral nutrientsmassflow hypothesis; diffusion of gases 
Mineral nutrition: Essential minerals, macro and micronutrients and their role; deficiency symptoms; mineral toxicity; elementary idea of hydroponics as a method to study mineral nutrition; nitrogen metabolism, nitrogen cycle 
Mineral nutrition: Biological nitrogen fixation 
Photosynthesis in higher plants: Photosynthesis as a mean of autotrophic nutrition; site of photosynthesis, pigments involved in photosynthesis (elementary idea); photochemical and biosynthetic phases of photosynthesis 
Photosynthesis in higher plants: Cyclic and non cyclic photophosphorylation; chemiosmotic hypothesis; photorespiration; C and C pathways; factors affecting photosynthesis. 
Respiration in plants: Exchange of gases; cellular respirationglycolysis, fermentation (anaerobic), TCA cycle and electron transport system (aerobic); energy relationsnumber of ATP molecules generated; amphibolic pathways; respiratory quotient 
Plantgrowth and development: Seed germination; phases of plant growth and plant growth rate; conditions of growth; differentiation, dedifferentiation and redifferentiation; sequence of developmental processes in a plant cell 
Plantgrowth and development: Growth regulatorsauxin, gibberellin, cytokinin, ethylene, ABA; seed dormancy; vernalisation; photoperiodism 
Human physiology 

Digestion and absorption: Alimentary canal and digestive glands, role of digestive enzymes and gastrointestinal hormones; peristalsis, digestion, absorption and assimilation of proteins, carbohydrates and fats; calorific values of proteins 
Digestion and absorption: Carbohydrates and fats; egestion; nutritional and digestive disordersPEM, indigestion, constipation, vomiting, jaundice, diarrhoea 
Breating and exchange of gases: Respiratory organs in animals (recall only); respiratory system in humans; mechanism of breathing and its regulation in humansexchange of gases, transport of gases and regulation of respiration, respiratory volume 
Breating and exchange of gases: Disorders related to respirationasthma, emphysema, occupational respiratory disorders 
Body fluids and circulation: Composition of blood, blood groups, coagulation of blood; composition of lymph and its function; human circulatory systemstructure of human heart and blood vessels; cardiac cycle, cardiac output, ECG; double circulation 
Body fluids and circulation: Regulation of cardiac activity; disorders of circulatory systemhypertension, coronary artery disease, angina pectoris, heart failure. 
Excretory products and their elimination: Modes of excretionammonotelism, ureotelism, uricotelism; human excretory systemstructure and function; urine formation, osmoregulation; regulation of kidney functionrenin, angiotensin, atrial natriuretic factor 
Excretory products and their elimination: Regulation of kidney functionADH and diabetes insipidus; role of other organs in excretion; disordersuraemia, renal failure, renal calculi, nephritis; dialysis and artificial kidney 
Locomotion and movement: Types of movementciliary, flagellar, muscular; skeletal musclecontractile proteins and muscle contraction; skeletal system and its functions; joints; disorders of muscular and skeletal systemmyasthenia gravis, tetany 
Locomotion and movement: Disorders of muscular and skeletal systemmuscular dystrophy, arthritis, osteoporosis, gout 
Neural control and coordination: Neuron and nerves; nervous system in humanscentral nervous system; peripheral nervous system and visceral nervous system; generation and conduction of nerve impulse; reflex action; sensory perception; sense organs 
Neural control and coordination: Elementary structure and functions of eye and ear 
Chemical coordination and integration: Endocrine glands and hormones; human endocrine systemhypothalamus, pituitary, pineal, thyroid, parathyroid, adrenal, pancreas, gonads; mechanism of hormone action (elementary idea) 
Chemical coordination and integration: Role of hormones as messengers and regulators, hypo and hyperactivity and related disorders; dwarfism, acromegaly, cretinism, goiter, exophthalmic goiter, diabetes, Addison's disease 
BiologyClassXII (Botany)
Reproduction 

Reproduction in organisms: Reproduction, a characteristic feature of all organisms for continuation of species; modes of reproductionasexual and sexual reproduction; asexual reproductionbinary fission, sporulation, budding, gemmule formation 
Reproduction in organisms: Asexual reproductionfragmentation; vegetative propagation in plants 
Sexual reproduction in ﬂowering plants: Flower structure; development of male and female gametophytes; pollinationtypes, agencies and examples; outbreeding devices; pollenpistil interaction; double fertilization 
Sexual reproduction in flowering plants: Post fertilization eventsdevelopment of endosperm and embryo, development of seed and formation of fruit; special modesapomixis, parthenocarpy, polyembryony; significance of seed dispersal and fruit formation 
Human reproduction: Male and female reproductive systems; microscopic anatomy of testis and ovary; gametogenesisspermatogenesis and oogenesis; menstrual cycle; fertilisation, embryo development upto blastocyst formation, implantation 
Human reproduction: Pregnancy and placenta formation (elementary idea); parturition (elementary idea); lactation (elementary idea) 
Reproductive health: Need for reproductive health and prevention of sexually transmitted diseases (STDS); birth controlneed and methods, contraception and medical termination of pregnancy (MTP); amniocentesis 
Reproductive health: Infertility and assisted reproductive technologiesIVF, ZIFT, GIFT (elementary idea for general awareness) 
Genetics and evolution 

Principles of inheritance and variationheredity and variation: Mendelian inheritance; deviations from Mendelismincomplete dominance, codominance, multiple alleles and inheritance of blood groups, chromosome theory of inheritance; chromosomes and genes 
Principles of inheritance and variationheredity and variation: Sex determinationin humans, birds and honey bee; linkage and crossing over; sex linked inheritancehaemophilia, colour blindness; Mendelian disorders in humansthalassemia 
Principles of inheritance and variationheredity and variation: Chromosomal disorders in humans; Down's syndrome, Turner's and Klinefelter's syndromes 
Molecular basis of inheritance: Search for genetic material and DNA as genetic material; structure of DNA and RNA; DNA packaging; DNA replication; central dogma; transcription, genetic code, translation; gene expression and regulationlac operon 
Molecular basis of inheritance: Genome and human and rice genome projects; DNA fingerprinting 
Evolution: Origin of life; biological evolution and evidences for biological evolution (paleontology, comparative anatomy, embryology and molecular evidences); Darwin's contribution, modern synthetic theory of evolution 
Evolution: Mechanism of evolutionvariation (mutation and recombination) and natural selection with examples, types of natural selection; gene flow and genetic drift; HardyWeinberg's principle; adaptive radiation; human evolution 
Biology and human welfare 

Human health and diseases: Pathogens; parasites causing human diseases (malaria, dengue, chickengunia, filariasis, ascariasis, typhoid, pneumonia, common cold, amoebiasis, ring worm) and their control; basic concepts of immunologyvaccines; cancer 
Human health and diseases: Basic concepts of immunologyHIV and AIDS; adolescencedrug and alcohol abuse 
Strategies for enhancement in food production: Improvement in food productionplant breeding, tissue culture, single cell protein, biofortification, apiculture and animal husbandry 
Microbes in human welfare: In household food processing, industrial production, sewage treatment, energy generation and microbes as biocontrol agents and biofertilizers. Antibiotics; production and judicious use 
Biotechnology and its applications 

Biotechnologyprinciples and processes: Genetic engineering (recombinant DNA technology) 
Biotechnology and its application: Application of biotechnology in health and agriculture human insulin and vaccine production, stem cell technology, gene therapy; genetically modified organismsBt crops; transgenic animals; biosafety issues 
Biotechnology and its application: Biopiracy and patents 
Ecology and environment 

Organisms and populations: Organisms and environmenthabitat and niche, population and ecological adaptations; population interactionsmutualism, competition, predation, parasitism; population attributesgrowth, birth rate and death rate, age distribution 
Ecosystem: Ecosystemspatterns, components; productivity and decomposition; energy flow; pyramids of number, biomass, energy; nutrient cycles (carbon and phosphorous); ecological succession; ecosystem servicescarbon fixation, pollination, seed dispersal 
Ecosystem: Oxygen release (in brief) 
Biodiversity and its conservation: Concept of biodiversity; patterns of biodiversity; importance of biodiversity; loss of biodiversity; biodiversity conservation; hotspots, endangered organisms, extinction, red data book, biosphere reserves 
Biodiversity and its conservation: National parks, sanctuaries and Ramsar sites 
Environmental issues: Air pollution and its control; water pollution and its control; agrochemicals and their effects; solid waste management; radioactive waste management; greenhouse effect and climate change; ozone layer depletion; deforestation 
Environmental issues: Any one case study as success story addressing environmental issue (s) 
BiologyZoology
Diversity of living organisms 

Taxonomy, systematic and binomial nomenclature 

Five kingdom classification 

Animal tissues 

Types and structure 
Anatomy and function of different systems of earthworm, cockroach and frog 

Bimolecules of the cell 

Human digestive, respiratory, circulatory, expiratory, muscular, skeletal and nervous system, endocrine system and diseases, reproductive system 

Development implantation, placentation and parturition 

Reproductive health and sexually transmitted disease 

Birth control, amniocenteses, infertility, IVF 

Sex determination, linkage and crossing over, sexlinked inheritance 

Multiple alleles and inheritance in blood groups, chromosomes disorders 

Genome, human genome project and DNA finger printing 

Theories and mechanisms of evolution 

Gene flow and genetics drift 

Health and diseases, concept of immunology, vaccine, cancer, HIV and AIDS 

Animal husbandry and agriculture 

Principles and process of biotechnology, application of biotechnology, transgenic animals 

Population interactions 

Growth, birth and death rates 

Concept of biodiversity 

Importance, loss and conservation of biodiversity 

Biosphere reserves, national parks and sancturies 

Home science
Concept, scope and applications of home science education 

Communication for effective development 

Physical, motor, social, language development from birth to adolescence 

Protection from preventable diseases, characteristics and needs of differently abled children, substitute care at home and outside 
Food groups 

Nutrients and their sources, nutrition for self and family, basics of therapeutic nutrition, selection and storage of food, food adulteration 
Essentials of resource management and its functions 

Elements and principles of design in house planning, furnishing, money management, role of consumers in the economy, work simplication 
Textile and clothing 

Fiber science, basic finishes, statin removal, fabric construction, clothing and its relation to personality 
AMU Entrance Test B.Arch Syllabus
Physics
Physical world and measurement 

Physicsscope and excitement, nature of physical laws; physics, technology and society 
Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments, errors in measurement; significant figures 
Need for measurement: Dimensions of physical quantities, dimensional analysis and its applications 
Kinematics 

Frame of reference 
Motion in a straight line: Positiontime graph, speed and velocity 
Uniform and nonuniform motion, average speed and instantaneous velocity 
Uniformly accelerated motion, velocitytime, positiontime graphs, relations for uniformly accelerated motion (graphical treatment) 
Elementary concepts of differentiation and integration for describing motion 
Scalar and vector quantities: Position and displacement vectors, general vectors and notation, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors 
Relative velocity 
Unit vector; resolution of a vector in a planerectangular components 
Motion in a plane 
Cases of uniform velocity and uniform accelerationprojectile motion 
Uniform circular motion 
Laws of motion 

Intuitive concepts of force 
Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion 
Law of conservation of linear momentum and its applications 
Equilibrium of concurrent forces 
Static and kinetic friction, laws of friction, rolling friction 
Lubrication, dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on level circular road, vehicle on banked road) 
Work, energy and power 

Scalar product of vectors 
Work done by a constant force and a variable force; kinetic energy, workenergy theorem, power 
Notion of potential energy, potential energy of a spring, conservative forces: Conservation of mechanical energy (kinetic and potential energies); nonconservative forces: Elastic and inelastic collisions in one and two dimensions 
Motion of system of particles and rigid body 

Centre of mass of a twoparticle system, momentum conversation and centre of mass motion 
Centre of mass of a rigid body; centre of mass of uniform rod 
Vector product of vectors; moment of a force, torque, angular momentum, conservation of angular momentum with some examples 
Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion 
Comparison of linear and rotational motions; moment of inertia, radius of gyration 
Values of moments of inertia for simple geometrical objects (no derivation) 
Statement of parallel and perpendicular axes theorems and their applications 
Gravitation 

Keplar’s laws of planetary motion 
The universal law of gravitation 
Acceleration due to gravity and its variation with altitude and depth 
Gravitational potential energy; gravitational potential 
Escape velocity 
Orbital velocity of a satellite 
Geostationary satellites 
Properties of bulk matter 

Elastic behaviour, stressstrain relationship, Hooke’s law, Young’s modulus, bulk modulus, shear, modulus of rigidity 
Pressure due to a fluid column; Pascal’s law and its applications (hydraulic lift and hydraulic brakes) 
Effect of gravity on fluid pressure 
Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow 
Bernoulli’s theorem and its applications 
Surface energy and surface tension, angle of contact, application of surface tension ideas to drops, bubbles and capillary rise 
Heat, temperature, thermal expansion; change of statelatent heat 
Heat transferconduction, convection and radiation, thermal conductivity 
Thermodynamics 

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics) 
Heat, work, and internal energy 
First law of thermodynamics 
Isothermal and adiabatic process 
Second law of thermodynamics: reversible and irreversible processes 
Heat engines and refrigerators 
Behaviour of perfect gas and kinetic theory 

Equation of state of perfect gas, work done on compressing a gas 
Kinetic theory of gasesassumptions, concept of pressure 
Kinetic Interpretation of temperature; RMS speed of gas molecules; degrees of freedom, law of equipartition of energy (statement only) and application to specific heats of gases; concept of mean free path, Avogadro’s number 
Oscillations and waves 

Periodic motionperiod, frequency, displacement as a function of time 
Periodic functions 
Simple harmonic motion (S.H.M) and its equation; oscillations of a springrestoring force and force constant; energy in S.H.M.kinetic and potential energies; simple pendulumderivation of expression for its time period 
Free, forced and damped oscillations (qualitative ideas only), resonance 
Wave motion 
Longitudinal and transverse waves, speed of wave motion 
Displacement relation for a progressive wave 
Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, beats, Doppler effect 
Electrostatics 

Electric charges, conservation of charge, Coulomb’s lowforce between two point charges forces between multiple charges, superposition principle and continuous charge distribution 
Electric field, electric field due to a point charge, electric field lines; electric dipole electric field due to a dipole torque on a dipole in uniform electric field 
Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire uniformly charges infinite plane sheet and uniformly charged thin spherical shell (field inside and outside) 
Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charge; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field 
Conductors and insulators, free charges and bound charges inside a conductor 
Dielectrics and electric polarization, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor 
Current electricity 

Electric current flow of electric chargers in a metallic conductor drift velocity, mobility and their relation with electric current; Ohm’s Law electrical resistance, VI characteristics (linear and nonlinear), electrical energy and power 
Electrical resistivity and conductivity 
Carbon resistors colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance 
Internal resistance of a cell, potential difference and EMF of a cell combination of cells in series and in parallel 
Kirchhoff’s laws and simple applications 
Wheatstone bridge and metre bridge 
Potentiometerprinciple and its applications to measure potential difference and for comparing EMF of two cells; measurement of internal resistance of a cell 
Magnetic effects of current and magnetism 

Concept of magnetic field, Oersted’s experiment 
BiotSavart law and its application to current carrying circular loop 
Ampere’s law and its applications to infinitely long straight wire, straight and toroidal solenoids 
Force on a moving charge in uniform magnetic and electric fields 
Cyclotron 
Force on a currentcarrying conductor in a uniform magnetic field 
Force between two parallel currentcarrying conductorsdefinition of ampere 
Torque experienced by a current loop in uniform magnetic field; moving coil galvanometerits current sensitivity and conversion to ammeter and voltmeter 
Current loop as a magnetic dipole and its magnetic dipole moment 
Magnetic dipole, moment of a revolving electron, magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis 
Torque on magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid magnetic field line; earth’s magnetic field and magnetic elements para, dia, and ferro magnetic substances, with examples 
Electromagnets and factors of affecting their strengths 
Permanent magnets 
Electromagnetic induction and alternating currents 

Electromagnetic induction; Faraday’s law 
Induced EMF and current; Lenz’s law, Eddy current self and mutual induction 
Alternating currents, peak and RMS value of alternating; current/ voltage, reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in A.C. circuits wattles current 
A.C. generator and transformer 
Electromagnetic waves 

Displacement current, electromagnetic wave and their characteristics (qualitative ideas only), transverse nature of electromagnetic waves 
Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, xrays, gamma rays) including elementary facts about their uses 
Optics 

Reflection of light spherical mirrors, mirror formula refraction of light, total internal reflection and its applications, optical fibres refraction at spherical surfaces, lenses thin lens formula lens maker’s formula 
Magnification power of a lens, combination of thin lenses in contract 
Refraction and dispersion of light through a prism 
Scattering of lightblue colour of the sky and reddish appearance of the sun at sunrise and sunset 
Optical instruments: Microscopes and astronomical telescopes (reflecting and refraction) and their magnifying powers 
Waves optics: Wave front and Huygens principle reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygen’s principle. Interference 
Waves optics: Young’s double slit experiment and expression for fringe width coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes 
Waves optics: Polarization, plane polarized light; Brewster’s law. Uses of plane polarized light and polaroids 
Dual nature of matter and radiation 

Dual nature of radiation, photoelectric, Hertz and Lenard’s observations; Einstein’s photoelectric equationparticle nature of light 
Matter waveswave nature of particles, de Broglie relation 
Davissiongermer experiment 
Atoms and nuclei 

Alphaparticle scattering experiment, Rutherford’s model of atom; Bohr model, energy levels hydrogen spectrum 
Composition and size of nucleus, radioactivityalpha, beta and gamma particles/ rays and their properties; radioactive decay law, massenergy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission 
Nuclear fusion 
Electronic devices 

Semiconductors; semiconductor diodeIV characteristics in forward and reverse bias, diode as a rectifier; IV characteristics of LED, photodiode, solar cell and Zener diode: Zener diode as a voltage regulator 
Junction transistor, transistor action characteristics of a transistor; transistor as an amplifier (common emitter configuration) 
Logic gates (or, and, not, nand and nor) 
Communication systems 

Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium 
Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation 
Need for modulation 
Amplitudemodulate wave 
ChemistryClassXI
Some basic concepts of chemistry 

General introduction: Importance and scope of chemistry 
Historical approach to particulate nature of matter, laws of chemical combination, Dalton’s atomic theory: Concept of elements, atoms and molecules 
Atomic and molecular masses 
Mole concept and molar mass; percentage composition and empirical and molecular formula; chemical reactions, stoichiometry and calculations based on stoichiometry 
Structure of atom 

Discovery of electron, proton and neutron; atomic number, isotopes and isobars 
Thompson’s model and its limitations, Rutherford’s model and its limitations, Bohr’s model and its limitations, concept of shells and subshells, dual nature of matter and light, De Broglie’s relationship, Heisenberg uncertainty principle 
Concept of orbitals, quantum numbers, shapes of s, p, and d orbitals, rules for filling electrons in orbitals Aufbau principle, Pauli exclusion principle and Hund’s rule, electronic configuration of atoms 
Stability of half filled and completely filled orbitals 
Classification of elements and periodicity in properties 

Significance of classification, brief history of the development of periodic table, modern periodic law and the present form of periodic table, periodic trends in properties of elementsatomic radii, ionic radii, inert gas radii, ionization enthalpy 
Periodic trends in properties of elementselectron gain enthalpy, electronegativity, valence, nomenclature of elements with atomic number greater than 100 
Chemical bonding and molecular structure 

Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory 
Concept of hybridization involving s, p, and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only) 
Hydrogen bond 
States of matter: gases and liquids 

Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule, Boyle’s law, Charle’s law, Gay Lussac’s law, Avogadro’s law, ideal behaviour 
Empirical derivation of gas equation, Avogadro number, ideal gas equation 
Deviation from ideal behaviour, liquefaction of gases, critical temperature, kinetic energy and molecular speeds (elementary idea) 
Liquid statevapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations) 
Thermodynamics 

Concepts of system, types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions 
First law of thermodynamicsinternal energy and enthalpy, heat capacity and specific heat, measurement of ∆U and ∆H, Hess’s law of constant heat summation, enthalpy of: Bond dissociation, combustion, formation, atomization, sublimation 
Enthalpy of: Phase transition, ionization, solution and dilution 
Introduction of entropy as a state function, second law of thermodynamics, Gibbs energy change for spontaneous and nonspontaneous process, criteria for equilibrium 
Equilibrium 

Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibriumLe Chatelier’s principle; ionic equilibriumionization of acids and bases, strong and weak electrolytes 
Degree of ionization, ionization of polybasic acids, acid strength, concept of pH, hydrolysis of salts (elementary idea), 4 buffer solutions, Henderson equation, solubility product, common ion effect (with illustrative examples) 
Redox reactions: Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions in terms of loss and gain of electron and change in oxidation numbers, applications of redox reactions 
Hydrogen 

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen; hydridesionic, covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxidepreparation, reactions 
Hydrogen peroxideuse and structure; hydrogen as a fuel 
Sblock elements (alkali and alkaline earth metals) 

Group 1 and group 2 elements: General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship 
Group 1 and group 2 elements: Trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens; uses 
Preparation and properties of some important compounds: Sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogencarbonate, biological importance of sodium and potassium 
CaO, CaCO, and industrial use of lime and limestone, biological importance of Mg and Ca 
Some pblock elements 

General Introduction to pblock elements 
Group 13 elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of first element of the group; boronphysical and chemical properties 
Group 13 elements: Boronsome important compounds; borax, boric acids, boron hydrides. Aluminium: uses, reactions with acids and alkalies. 
Group 14 elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous beheaviour of first element. Carboncatenation, allotropic forms 
Group 14 elements: Carbonphysical and chemical properties; uses of some important compounds: oxides 
Organic chemistrysome basic principles and techniques 

General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds 
Electronic displacements in a covalent bond: Inductive effect, electrometric effect, resonance and hyper conjugation 
Homolytic and heterolytic fission of a covalent bond: Free radicals, carbocations, carbonions; electrophiles and nucleophiles, types of organic reactions 
Hydrocarbons 

Classification of Hydrocarbons 
Aliphatic hydrocarbons: Alkanesnomenclature, isomerism, conformations (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis 
Aliphatic hydrocarbons: Alkenesnomenclature, structure of double bond (ethane), geometrical isomerism, physical properties, methods of preparation; chemical reactions: Addition of hydrogen, halogen, water 
Aliphatic hydrocarbons: Alkeneschemical reactions: Hydrogen halides (Markovnikov’s addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition 
Aliphatic hydrocarbons: Alkynesnomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: Acidic character of alkynes, addition reaction ofhydrogen, halogens, hydrogen halides and water 
Aromatic hydrocarbons: Introduction, IUPAC nomenclature; benzene: Resonance, aromaticity; chemical properties: Mechanism of electrophilic substitutionnitration sulphonation, halogenation, Friedel Craft’s alkylation and acylation 
Aromatic hydrocarbons: Directive influence of functional group in monsubstituted benzene; carcinogenicity and toxicity 
Environmental chemistry 

Environmental pollutionair, water and soil pollution, chemical reactions in atmosphere, smogs, major atmospheric pollutants; acid rain, ozone and its reactions, effects of depletion of ozone layer 
Greenhouse effect and global warmingpollution due to industrial wastes; green chemistry as an alternative tool for reducing pollution, strategy for control of environmental pollution 
ChemistryClassXII
Solid state 

Classificatioin of solids based on different binding forces molecular, ionic covalent and metallic solids, amorphous and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices 
Calculations of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects electrical and magnetic properties, band theory of metals, conductors 
Semiconductors and insulators and n and p type semiconductors 
Solutions 

Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in liquids, solid solutions, colligative propertiesrelative lowering of vapour pressure, Raoult’s law, elevation of B.P., depression of freezing point 
Osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass, Vant Hoff factor 
Electrochemistry 

Redox reactions; conductance in electrylytic solutions, specific and molar conductivity variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis (elementary idea) 
Dry cell electrolytic cells and galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells. Relation between Gibbs energy change and EMF of a cell, fuel cells; corrosion 
Chemical kinetics 

Rate of a reaction (average and instantaneous), factors affecting rates of reaction: Concentration, temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant 
Integrated rate equations and half life (only for zero and first order reactions); concept of collision theory (elementary idea, no mathematical treatment) 
Activation energy, Arrhenious equation 
Surface chemistry 

Adsorptionphysisorption and chemisorption; factors affecting adsorption of gases on solids; catalysis thomogenous and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state: distinction between true solutions, colloids and suspensions 
Lyophillic, lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsions 
General principles and processes of isolation of elements 

Principles and methods of extractionconcentration, oxidation, reduction electrolytic method and refining; occurrence and principles of extraction of aluminium, copper, zinc and iron 
Pblock elements 

Group 15 elements: General introduction, electronic configuration, occurrence, oxidation states, trends in physical and chemical properties; nitrogenpreparation, properties and uses 
Group 15 elements: Compounds of nitrogenpreparation and properties of ammonia and nitric acid, oxides of nitrogen (structure only); phosophorousallotropic forms 
Group 15 elements: Compounds of phosphorouspreparation and properties of phosphine, halides (PCI, PCI) and oxoacids (elementary idea only) 
Group 16 elements: General introduction, electronic configuration, oxidationi states, occurrence, trends in physical and chemical properties; dioxygen: Preparation, properties and uses; classification of oxides; ozone. Sulphurallotropic forms 
Group 16 elements: Sulphurcompounds of sulphur: Preparation, properties and uses of sulphur dioxide; sulphuric acid: Industrial process of manufacture, properties and uses, oxoacids of sulphur (structures only) 
Group 17 elements: General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; compounds of halogens: Preparation, properties and uses of chlorine and hydrochloric acid, interhalogen compounds 
Group 17 elements: Compounds of halogensoxoacids of halogens (structures only) 
Group 18 elements: General introduction, electronic configuration, occurrence, trends in physical and chemical properties, uses, compounds of xenon and their structure 
D and fblock elements 

General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first row transition metalsmetallic character, ionization enthalpy, oxidation states, ionic radii, colour 
General trends in properties of the first row transition metalscatalytic property, magnetic properties, interstitial compounds, alloy formation 
Preparation and properties of KCrO and KMnO 
Lanthanoidselectronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences 
Actinoidselectronic configuration, oxidation states and comparison with lanthenoids 
Coordination compounds 

Coordination compounds: Introduction, ligands, coordination number, colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding, Werner’s theory VBT, CFT 
Coordination compounds: Isomerism (structural and stereo) importance of coordination compounds (in qualitative inclusion, extraction of metals and biological systems) 
Haloalkanes and Haloarenes 

Haloalkanes: Nomenclature, nature of CX bond, physical and chemical properties, mechanism of substitution reactions. Optical rotation 
Haloarenes: Nature of CX bond, substitution reactions (directive influence of halogen for monosubstituted compounds only) 
Uses and environmental effects ofdichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT 
Alcohols, phenols, and ethers 

Alcohols: Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only); identification of primary, secondary and tertiary alcohols; mechanism of dehydration, uses, with special reference to methanol and ethanol 
Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophillic substitution reaction, uses of phenols 
Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses 
Aldehydes, ketones, and carboxylic acids 

Aldehydes and ketones: Nomenclature, nature of carbonyl group, method of preparation, physical and chemical properties, and mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes; uses 
Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses 
Organic compounds containing nitrogen 

Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary secondary and tertiary amines 
Cyanides and isocyanides: Will be mentioned at relevant places in context 
Diazonium salts: Preparation, chemical reactions and importance in synthetic organic chemistry 
Biomolecules 

Carbohydrates: Classification (aldoses and ketoses), monosaccharide (glucose and fructose), DL configuration, oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen); importance 
Proteins: Elementary idea ofamino acids, peptide bond, polypeptides, proteins, primary structure, secondary structure, tertiary structure and quaternary structure (qualitative idea only), denaturation of proteins; enzymes 
Hormones: Elementary idea (excluding structure) 
Vitamins: Classification and functions 
Nucleic acids: DNA and RNA 
Polymers 

Classification: Natural and synthetic, methods of polymerization (addition and condensation), copolymerization, some important polymers; natural and synthetic like polythene, nylon, polyesters, bakelite, rubber 
Classification: Biodegradable and nonbiodegradable polymers 
Chemistry in everyday life 

Chemicals in medicines: Analgesics, tranqualizers, antiseptic, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antithistamines 
Chemicals in food: Preservatives, artificial sweetening agents, elementary idea of antioxidants 
Cleansing agents: Soaps and detergents, cleansing action 
MathematicsClassXI
Sets and functions 

Sets: Sets and their representations. Empty set. Finite and infinite sets. Equal sets. Subsets. Subsets of the set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and intersection of sets 
Sets: Difference of sets. Complement of a set 
Relations and functions: Orders pairs, Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain 
Relations and functions: Codomain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, codomain and range of a function. Real valued function of the real variable 
Relations and functions: Domain and range of these functions, constant, identity, polynomial, rational modulus, signum and greatest integer functions with their graphs, sum, difference, product and quotients of functions 
Trignometric functions: Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle 
Trignometric functions: Truth of the identity sin2 x + cos2 x = 1 for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x+y) in terms of sin x, sin y, cos x and cos y 
Trignometric functions: Deducing the identities like the followingtan (x ± y) = tan x ± tan y/ 1 ± tan x tan y, cot (x ± y) = cot x cot y ± 1/ cot y cot x 
Trignometric functions: Deducing the identities like the followingSin x + Sin y = 2 Sin (x + y/ 2) cos (x  y)/ 2 Cos (x y)/ 2 Cos x + Cos y = 2 Cos (x + y)/ 2 Cos (x – y)/ 2 
Trignometric functions: Deducing the identities like the followingSin x  Sin y = 2 Cos (x + y/ 2) Sin (x  y)/ 2 Cos x – Cos y = 2 Sin (x + y/ 2) sin (x – y/ 2) 
Trignometric functions: Identities related to sin 2 x, cos 2 x, tan 2 x, sin 3 x, cos 3 x and tan 3 x. General solution of trigonometric equiations of the type sin θ = sin alpha 
Algebra 

Principle of mathematical induction: Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications 
Complex numbers and quadratic equations: Need for complex numbers, especially √ 1 , to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers 
Complex numbers and quadratic equations: Argand plane and polar representation of complex numbers. Statement of fundamental theorem of algebra, solution of quadratic equations in the complex number system 
Linear inequalites: Linear inequalities, algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables 
Linear inequalites: Solution of system of linear inequalities in two variables graphically 
Permutations and combinations: Fundamental principle of counting. Factorial n (n1) permutations and combinations, derivation of formulae and their connections, simple applications 
Binomial theorem: History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, general and middle term in binomial expansion, simple applications 
Sequence and series: Sequence and series, arithmetic progression (A.P.), arithmetic mean (A.M.) geometric progression (G.P., general term of a G.P., sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G.M 
Sequence and series: Sum to n terms of the special series ∑n , ∑n and ∑n . 
Coordinate geometry 

Straight lines: Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: Parallel to axes, pointslope form, slope intercept form, two point form, intercepts form and normal form 
Straight lines: General equation of a line. Distance of a point from a line 
Conic section: Sections of a conecircle, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of conic section. Standard equations and simple properties of parabola, ellipse and hyperbola 
Conic section: Standard equation of a circle 
Introduction to three dimensional geometry: Coordinate axes and coordinate planes in three dimensions. Coordinatoes of a point. Distance between two points and section formula 
Calculas 

Limits and derivatives: Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference 
Limits and derivatives: Product and quotient of functions. Derivatives of polynomial and trigonometric functions 
Mathematical reasoning 

Mathematical reasoning: Mathematically acceptable statements. Connecting words/ phrasesconsolidating the understanding of “if and only if (necessary and sufficient) condition”, implies”, and/ or”, implied by, “and”, “or” 
Mathematical reasoning: Connecting words/ phrasesconsolidating the understanding of “there exists” and their use through variety of examples related to real life and mathematics 
Mathematical reasoning: Validating the statements involving the connecting wordsdifference between contradiction, converse and contrapositive 
Probability: Random experimentsoutcomes, sample, spaces (set representation). Events: Occurrence of events, `not’, `and’ and `or’ events, exhaustive events, mutually exclusive events, axiomatic (set theoretic) probability 
Probability: Connections with the theories of earlier classes. Probability of an event, Probability of `not’, `and’ and `or’ events 
MathematicsClassXII
Relations and Functions 

Relations and functions: Types of relationsreflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations 
Inverse trigonometric functions: Definition, range, domain, principal value branches, graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions 
Algebra 

Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and kew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition 
Matrices: Multiplication and scalar multiplication. Non commutativity of multiplication of matrices and existence of non zero matrices whose product is the zero matrix (restrict to square matrices of order 2) 
Matrices: Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists (here all matrices will have real entries) 
Determinants: Determinant of a square matrix (upto 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. A joint and inverse of a square matrix 
Determinants: Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix 
Applications of derivatives: Maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool) 
Applications of derivatives: Simple problems (that illustrate basic principles and understanding of the subject as well as real life situations) 
Integrals: Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type: ∫ dx/ x ± a, ∫ dx/ x ± a, ∫ dx/ √ a  x, ∫ dx/ ax + bx + c 
Integrals: Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type: ∫ dx/ √ ax + bx + c, ∫ (px + q)/ ax + bx + c dx, ∫ (px + q)/ √ ax + bx + c dx, ∫ √ a ± xdx 
Integrals: Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type: ∫ √ x  adx to be evaluated 
Integrals: Define integrals as a limit of sum, Fundamental theorem of calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals 
Applications of the integrals: Applications in findings the area under simple curves, especially lines, areas of circles/ parabolas/ ellipse (in standard form only), area between the two above said curves (the region should be clearly identifiable) 
Differential equations: Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables 
Differential equations: Homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type: dx/ dy + py = q, where p and q are functions of x 
Calculas 

Continuity and differentiability: Continuity and Differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit function 
Continuity and differentiability: Concept of exponential and logarithmic functions and their derivative. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives 
Continuity and differentiability: Rolle’s and Lagrange’s mean value theorems (without proof) and their geometric interoperations 
Applications of derivatives: Applications of derivativesrate of change, increasing/ decreasing functions, tangents and normal, approximation 
Vectors and three dimensional geometry 

Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines/ ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector 
Vectors: Addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors 
Threedimensional geometry: Direction cosines/ ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane 
Threedimensional geometry: Angle between(i) two lines, (ii) two planes, (iii) a line and plane. Distance of a point from a plane 
Linear programming 

Linear programming: Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming (LP) problems, mathematical formulation of LP, problems 
Linear programming: Graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optional feasible solutions (upto three non trivial constraints) 
Probability 

Probability: Multiplication theorem on probability, conditional probability, independent events, total probability, Baye’s theorem, random Variable and its probability distribution, mean and variance of random variable 
Probability: Repeated independent (Bernoulli) trials and binomial distribution 
Architecture aptitude test
Freehand drawing 

Simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale 
Common domestic or daytoday life usable objects like furniture, equipment, etc from memory 
Geometrical drawing 

Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc 
Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc 
Threedimensional perception 

Understanding and appreciation of threedimensional forms with building elements, color, volume and orientation 
Visualization through structuring objects in memory 
Imagination and aesthetic sensitivity 

Composition exercise with given elements, context mapping, creativity check through innovative uncommon test with familiar objects 
Sense of color grouping or application 
Architectural awareness 

General interest and awareness of famous architectural creationsboth national and international, places and personalities (architects, designers, etc) in the related domain 
AMU Entrance Test L.L.M Syllabus
Jurisprudence
Constitutional law
Commercial law
Family law
Labour law
Criminal law
International law
AMU Entrance Test M.C.A. Syllabus
Physics
Mechanics 

Concept of inertial and noninertial frames of reference, fictitious forces, conservative and nonconservative forces 
System of particles: Centre of mass for a system of particles, motion of the centre of mass, expressions for kinetic energy, linear momentum and angular momentum for a system of particles in terms of centre of mass values 
Central forces and the law of conservation of angular momentum 
Rotational motion 

Transformation equations for a frame of reference rotating with respect to an inertial frame of reference, Coriolis force 
Rotation of a rigid body: Energy and moment of inertia and moment of inertia as a tensor, principal axes, angular momentum and kinetic energy of rotation with respect to principal axis, moment of inertia for a spherical shell and solid sphere 
Rolling bodies, central force, Kepler’s laws 
Special relativity 

Postulates of special theory of relativity, Lorentz transformations, velocity addition, length contraction and time dilation, variation of mass with velocity, relativistic form of Newton’s second law, equivalence of mass and energy 
Relativistic transformations of momentum and energy 
Electricity and magnetism 

Gauss’s law, dielectrics, polarization of dielectrics, Poisson and Laplace’s equations in dielectric, polarizability, ClausiusMossotti relation 
Capacitors 
Continuity equation, transient currents, growth and decay of D.C. in LCR circuits, Thevenin’s theorem, superposition theorem and maximum power transfer theorem 
Alternating currents: LCR circuit, series resonance, sharpness of resonance and Qfactor, power in A.C. circuits 
Optics 

Fermat’s principle and its applications 
Chromatic and spherical aberrations, removal 
Coma, astigmatism, curvature of the field, distortion 
Interference of light waves, coherence 
Fresnel’s biprism 
Newton’s rings 
Michelson’s interferometer 
Polarization of light waves 
Production of polarized light 
Brewster’s law, Malus’ law 
Double refraction 
Quarter and half wave plates 
Analysis of polarized light 
Fraunhofer diffraction: Fraunhofer diffraction at two and N slits, diffraction grating, grating spectrum, Rayleigh criterion of resolution, resolving power of grating 
Electronics 

BJT amplifier; α, β and their relation, hybrid parameters 
Characteristics of their simple circuits, load line, Qpoint and its change due to temperature variation 
BJT biasing: Fixed biasing, selfbias, stability factor 
RC coupled amplifier, its frequency response characteristics 
Feedback in amplifiers, advantages of negative feedback amplifier 
Positive feedback and Barkhausen criterion for oscillations, circuit diagrams and working for RC phaseshift, Wein’s bridge oscillators 
RC differentiator and integrator 
Mathematical method 

Cauchy’s integral theorem, Cauchy’s integral formula, Taylor and Laurent series, Cauchy’s residue theorem, gradient, divergence and curl 
Gauss’s theorem, Green’s theorem, Stoke’s theorem 
Legendre function: The polynomial solution of the Legendre equation, the Legendre function of the second kind, the generating function, upper bound for  Pn(x) , Rodrigues’ formula, orthogonality relation 
Associated legendre functions and its orthogonality property 
Laguerre functions 
Modern physics 

Black body radiation experiment and Planck’s hypothesis, photoelectric effect, Compton effect, wave function and its simple properties 
Alphaparticle scattering experiment, Rutherford’s model of atom; Bohr model, energy levels hydrogen spectrum 
Composition and size of nucleus, atomic masses 
Radioactivityalpha, beta and gamma particles and their properties, massenergy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission, nuclear reactor, nuclear fusion 
Basic principle of a LASER, properties of laser beam 
Crystalline and amorphous structure: Lattice, basis, primitive cell, unit cell, Bravais Lattices, common crystal structures, Bragg’s law 
Mathematics
Calculus 

Successive differentiation: Derivatives of higher order, nth derivative of wellknown functions, Leibnitz’s theorem (without proof). Expansion of functions, Maclaurin’s theorem and Taylor’s theorem (without proof) 
Successive differentiation: Indeterminate forms: 0/0, ∞/∞, 0 x ∞, ∞  ∞ and 0⁰, 1∞, 0∞. Asymptotes of the algebraic curves, parallel asymptotes, Asymptotes parallel to xaxis and yaxis 
Curvature: Angle between radius vector and tangent, derivative of arc length in cartesian, parametric and polar form, calculation of curvature in cartesian, parametric and polar form. Radius of curvature in the three forms, multiple points 
Curvature: Convexity and concavity of a curve, points of inflexion, tracing of cartesian curves, idea of some well known polar curves, functions of two or more variables, partial differential coefficients, homogeneous functions 
Curvature: Euler’s theorem on homogeneous functions 
Gamma functions, Integration of the type , length of curves for cartesian, parametric and polar equations, intrinsic equation from cartesian, parametric and polar equations, volume and surfaces of solids of revolution of cartesian 
Parametric and polar curves 
Geometry 

General equations, pair of straight line through origin, lines joining the origin to the intersection of a curve and a line 
The conic section, equation to a conic section 
Intersection of a straight line and a conic 
Equation of a tangent to a conic, condition of tangency 
Pair of tangents from a point 
Chord of contact of a pair of tangents to a conic 
Pole and polar, conjugate points 
Conjugate lines 
The condition of conjugacy 
Chord with a given middle point 
Centre of a conic and diameter 
Equation of the conic when the origin is transferred to the centre 
Conjugate diameters 
Change of rectangular axes without change of origin 
Removal of xyterm 
Invariants 
Nature of conic, summary 
Tracing of parabola, the asymptotes of hyperbola 
Conjugate hyperbola 
Asymptotes 
The length and position of axes 
Coordinate of foci 
Polar equation of a conic when focus is at the pole 
Directrices, tracing of the conic 
Equation of the chord when the vectorial angles of the extremities are given 
Equation of the tangent at the point whose vectorial angle is α 
Normal, polar 
Direction cosines of a line 
Projection of a segment 
Angles between two lines 
Distance of a point from a line 
Equation of a plane 
Length of perpendicular from a point to a plane 
Cylinder and its equation 
Right circular cylinder 
Equation of a right circular cylinder 
Equation of a cone 
Equation of a cone when the vertex is at the origin 
Condition for general equation of second degree to represent a cone 
Tangent plane to a cone, a property of the tangent plane to a cone 
Condition of tangency 
Reciprocal cone 
Cone with three mutually perpendicular generators, number of mutually perpendicular generators 
The standard equation of central conicoids 
The tangent plane 
Condition of tangency of a plane 
Section with a given centre 
Locus of the midpoints of a system of parallel chords 
The polar plane, polar lines 
Enveloping cone 
Classification of central conicoids 
The normal 
Normals from given point 
Conjugate diametral plane and diameters of ellipsoid 
Paraboloid (elliptic and hyperbolic) 
Tangent plane to a paraboloid 
Numerical analysis 

Absolute, relative and percentage errors, general error formula, error in series approximation, solution of algebraic and transcendental equations, the bisection and Regulafalsi method, iteration methods namely, NewtonRaphson method 
Generalized Newton’s method, solution of system of linear equations using direct methods such as matrix inversion, Gauss elimination and LU decomposition including some iteration methods namely, Jacobi and GaussSiedel methods 
The algebraic eigen value problems using iterative and householder methods 
Symbols of Δ,, E, E1 , D, and and their relations, NewtonGregory forward and backward difference formulae, Gauss’s, Stirling’s and Bessel’s formulae, Lagrange’s formula, divided differences and their properties 
Newton’s general interpolation formula, inverse interpolation formula and interpolation with cubic splines 
Numerical differentiation and integration, numerical differentiation of tabular and nontabular functions including error estimations, numerical integration using Gauss quadrature formulae, trapezoidal, Simpson’s 1/3 and 3/8Rule 
Weddle’s Rule and NewtonCotes formula including error estimation, curve fitting and approximations, least squares curve fitting procedures, different types of approximations, least squares polynomial approximation 
Chebyshev polynomials and its application in various approximations 
Ordinary differential equations, Euler’s and modified Euler’s methods, Picard’s method, Taylor series method, RungeKutta methods of 2nd and 4th order, multistep methods, MilneSimpson method, Adam BashforthMoulton method 
Boundary value problems using finite difference method 
Differential equations 

Exact differential equations 
Integrating factors 
Total differential equations 
Differential equations of first order but not of first degree 
Equations solvable for p, y and x 
Clairaut’s equations 
Linear differential equations of order n 
Homogeneous and nonhomogeneous differential equations of order n with constant coefficients 
Complementary functions 
Different forms of particular integrals 
Linear differential equations with nonconstant coefficients 
Reduction of order method 
The CauchyEuler’s equation of order n 
The Legendre’s linear equation 
Methods of undetermined coefficients and variation of parameters 
Series solution of differential equations 
Frobenius method 
Different cases 
Bessel, Legendre and hypergeometric differential equations and their solutions 
Simultaneous total different equations 
Equations of the form dx/P=dy/Q=dz/R 
Methods of grouping and multipliers 
Solution of a system of linear differential equation with constant coefficients 
An equivalent triangular system 
Degenerate case 
Laplace transforms 
Linearity of Laplace transforms 
First shifting property 
Table of Laplace transforms 
Inverse Laplace transforms 
Laplace transform of derivative and integrals 
Unit step function and its Laplace transform 
Second shifting property 
Unit impulsive function and its Laplace transform 
Convolution and periodic function theorems 
Solution of linear differential equations with constant coefficients using Laplace transform methods 
Formation and solution of a partial differential equations 
Equations easily integrable 
Linear partial differential equations of first order 
Nonlinear partial differential equation of first order and their different forms 
Charpit’s method 
Homogeneous linear partial differential equations with constant coefficients 
Different cases for complimentary functions and particular integrals 
Nonhomogeneous partial differential equations with constant coefficients 
Classification of second order linear partial differential equations 
Method of separation of variables 
Fourier series 
Even and odd functions and their fourier series 
Change of interval 
Vibration of stretched string 
One and two dimensional heat flow 
Solution of Laplace equation in Cartesian and polar coordinates 
Variation of a functional 
Variational problems 
Euler’s equations and its various cases 
Externals 
Functional depending on unknown functions, functionals depending on higher derivatives 
Variational problems in parametric form 
Isoperimetric problem 
Canonical form of Euler’s equation 
Functionals depending on functions of several independent variables 
Ostrogradsky’s equation 
Advanced Calculus 

Functions of several variables, contour lines, level curves and level surfaces, limits and continuity for functions of two and more variables, partial derivatives, partial derivatives and continuity, differentiability 
The chain rule for functions of two and three variables 
Directional derivatives, gradient vectors, tangent planes, linearization and differentials, extreme values and saddle points, local and absolute maxima/ minima, the method of Lagrange multipliers (with one constraint only) 
Taylor’s series for function of two variables, partial derivatives with constrained variables 
Double integral over a rectangle region, double integral as volume, double integral over non rectangular regions, Fubini’s theorem, area of a region in a plane, transformation of double integral from Cartesian to polar coordinates and viceversa 
Spherical and cylindrical coordinates, triple integral in Cartesian, cylindrical and spherical coordinates. line integral, gradient field, Green’s theorem in a plane, evaluation of line integral using Green’s theorem, surface area, surface integral 
Strokes theorem 
Algebra 

Binary operations, definitions of group, ring and field with examples, vector spaces, subspaces, span of a set, sum of subspaces, linear dependence and independence, dimension and basis, coordinates of a vector relative to the ordered basis 
Dimension theorem 
Linear transformation and its properties, range and kernel of a linear transformation, rank and nullity of linear transformation, ranknullity theorem, inverse of linear transformation 
The vector space L(U,V) and its dimension, composition of linear transformations, matrix associated with a linear transformation, linear transformation associated with a matrix, matrix as a linear transformation and its rank and nullity 
Elementary row operations and rowreduced echelon form, inverse of a matrix through elementary row operation, solution of a system of linear equations, eigenvalues, eigen vectors 
Statistics
Descriptive statistics 

Measures of central tendency, dispersion, Skewnes and Kurtosis, scatter diagram, correlation coefficient, rank correlation, Spearman’s and Kendall’s measures, multiple correlations in three variables, partial correlation in three variables 
Regression lines, regression coefficient and principal of least squares and curve fitting 
Probability theory 

Definition of probability, discrete and continuous sample space, events, independent and mutually exclusive events, random experiment, conditional probability, Baye’s theorem and its application, random variables, mathematical expectation 
Chesbyshev’s inequality 
Probability distributions 

Uniform, binomial, Poisson, geometric, hypergeometric, normal exponential gamma and beta distribution, their means, variances and other properties 
Sampling theory 

Concept of population and sampling, census and sample survey, random sample, sample size, nonsampling errors, concept of bias and standard error of an estimate, sampling distributions, tests of significance based on t, chisquare and F tests 
Statistical inference 

Requirements of a good estimator, methods of estimation (MLE and method of moments), interval estimation 
Testing of hypothesis, simple and composite hypothesis, errors of first and second type and critical region 
Design of experiments and LPP 

ANOVA for one way and two way classifications, principles of design of experiments, CRD, RBD and LSD, General LPP, graphical and simplex method of solving LPP 
Computer science
Fundamentals of computers and problem solving 

Business data processing 

Data structure and structured programming 

Systems programming and operating system 

Logical ability, deductive ability, and reasoning
AMU Entrance Test 2023 Exam Pattern
The exam conducting authority has released the AMU entrance test exam pattern in the official notification. Applicants appearing for the exam must check the AMU exam pattern 2023 for their preparations. The exam pattern of AMU entrance test 2023 comprises number of questions, marking scheme, exam duration, mode of examination and others. AMU entrance test 2023 exam pattern is released separately for all the courses. For more details, candidates can check the details given below.
AMU Entrance Test B.Tech Exam Pattern
Candidates can boost their preparation by being familiar with the exam pattern of AMU Entrance Test 2023 for B.Tech programme.
AMUEEE exam pattern 2023
Particulars  Details 
Mode  Pen and Paper Mode 
Duration  3 hours 
Medium of Language  English 
Type of Questions  Objective. Multiple Choice Questions 
Sections  Physics, Chemistry, Mathematics 
Total Number of Questions  150 Questions 
Marking Scheme  One mark for every correct answer 
AMU Entrance Test B.A. L.L.B Exam Pattern
The candidates are advised to refer to the exam pattern before starting off their preparation. Through the AMU BA LLB 2023 Exam Pattern, the candidates will be able to know more details about the examination.
Mode – Pen and Paper Mode
Duration – Two hours
Medium of Language  English
Type of Questions – Objective, Multiple Choice Questions and Short Answer Type Questions
Sections – General English, Current Affairs/General Knowledge and Reasoning and Aptitude.
Total Number of Questions – 75 objective, multiple choice questions and 10 short answer type questions
AMU Entrance Test B.A.(Hons) Exam Pattern
Candidates should know the exam pattern of AMU Entrance Test 2023 for B.A (Hons) to prepare well and be familiar with the entrance examination.
AMU 2023 BA Hons. Exam Pattern
Particulars  Details 
Mode  Pen and Paper 
Duration  Two hours 
Medium of Language  English 
Type of Questions  Objective. Multiple Choice Questions 
Sections 

Marking Scheme  One mark for every correct answer 
AMU Entrance Test B.Com(Hons) Exam Pattern
It is important for the candidates to be aware of the AMU Entrance Test 2023 exam pattern. This will allow the candidates to strategize their preparation.
AMU 2023 Exam Pattern
Particulars  Details 
Mode  Pen and Paper 
Duration  Two hours 
Medium of Language  English 
Type of Questions  Objective, Multiple Choice Questions 
Sections 

Marking Scheme  One mark for every correct answer 
AMU Entrance Test B.Sc.(Hons) Exam Pattern
Candidates can check the AMU B.Sc. Hons. Entrance Test 2023 exam pattern for reference below to boost their preparation.
AMU BSc Exam Pattern 2023
Particulars  Details 
Mode  Pen and Paper 
Duration  Two hours 
Medium of Language  English 
Type of Questions  Objective. Multiple Choice Questions 
Sections 

Marking Scheme  One mark for every correct answer 
Total Number of Questions  100 Questions 
AMU Entrance Test B.Arch Exam Pattern
The exam pattern of AMU Entrance Exam 2023 allows the candidates to know more and be familiar with the examination which will help them prepare.
AMU BArch exam pattern 2023
Particulars  Details 
Mode  Pen and Paper Mode 
Duration  Three hours for each paper 
Medium of Language  English 
Type of Questions  Paper I  objective, multiple choice questions, Paper II  descriptive questions and a test of drawing. 
Sections  Paper I (B.Tech) Paper II (Architecture Aptitude Test) 
AMU Entrance Test L.L.M Exam Pattern
The exam pattern of AMU Entrance Test for LL.M is listed below:
Mode – Pen and Paper Mode
Duration – Two hours
Medium of Language  English
Type of Questions – Short Answer Type Questions
Sections – 20 questions of LLB/BA.LLB standard syllabus
Total Marks – 100 Marks
AMU Entrance Test M.C.A. Exam Pattern
Since the candidates are advised to check the exam pattern of AMU Entrance Test 2023, the major details of the examination have been listed below for reference:
Mode – Pen and Paper Mode
Duration – Two hours
Medium of Language  English
Type of Questions – Objective. Multiple Choice Questions
Sections
Mathematics and Statistics – 50 Questions
Physics – 20 Questions
Computer Science – 20 Questions
Logical Ability, Deductive Ability and Reasoning – 10 Questions
Total Number of Questions – 100 Questions
Marking Scheme – One mark for every correct answer
AMU Entrance Test 2023 Admit Card
Aligarh Muslim University has released the AMU entrance test admit card in online mode on its official website. Applicants can download their AMU entrance test 2023 admit card through their login credentials. Only those candidates who have successfully submited the application form will be able to download the AMU 2023 admit card. The AMU admit card 2023 mentions details such as exam timings, name of the candidate, category of the candidate, programme applied, exam centre address and examination day instructions. After downloading the AMU entrance test admit card, candidates must check all the details mentioned in it. In case of any discrepancy in the admit card of AMU entrance exam 2023, applicants must contact the exam authority for the corrections Steps to download the AMU Entrance Test admit card are given below..
How to download the AMU entrance test admit card 2023?
Visit the AMU official website.
Click on the direct link to download the AMU entrance test admit card.
Select the course of study and enter the application number in the given space.Select the course of study and enter the application number in the given space.
Click on "Download the admit card".
The admit card will appear on the screen.
Download the AMU entrance test 2023 admit card for future reference.
AMU Entrance Test 2023 Exam Centers
AMU Entrance Test B.Tech Exam Centers
State  City 

Uttar Pradesh  Aligarh 
Lucknow  
Madhya Pradesh  Bhopal 
Bihar  Patna 
Jammu and Kashmir  Srinagar 
Kerala  Kozhikode 
West Bengal  Kolkata 
AMU Entrance Test B.A. L.L.B Exam Centers
State  City 

Uttar Pradesh  Aligarh 
Kerala  Kozhikode 
West Bengal  Kolkata 
AMU Entrance Test B.A.(Hons) Exam Centers
State  City 

Uttar Pradesh  Aligarh 
Lucknow  
West Bengal  Kolkata 
Jammu and Kashmir  Srinagar 
Bihar  Patna 
AMU Entrance Test B.Com(Hons) Exam Centers
State  City 

Uttar Pradesh  Aligarh 
Lucknow  
West Bengal  Kolkata 
Jammu and Kashmir  Srinagar 
Bihar  Patna 
AMU Entrance Test B.Sc.(Hons) Exam Centers
State  City 

Uttar Pradesh  Aligarh 
Lucknow  
West Bengal  Kolkata 
Jammu and Kashmir  Srinagar 
Bihar  Patna 
AMU Entrance Test B.Arch Exam Centers
State  City 

Uttar Pradesh  Aligarh 
AMU Entrance Test L.L.M Exam Centers
State  City 

Uttar Pradesh  Aligarh 
AMU Entrance Test M.C.A. Exam Centers
State  City 

Uttar Pradesh  Aligarh 
Documents Required at Exam
 AMU entrance test 2023 admit card
 A vaild photo id
AMU Entrance Test 2023 Answer Key
The exam conducting authority has released the AMU entrance test answer key on April 30 for BCom Hons and BSc Hons at its official website. The exam authority first releases the provisional AMU entrance test answer key. Applicants are allowed to raise objections in the AMU 2023 answer key as per the schedule. After considering all the objections in the AMU entrance test answer key, the exam conducting authority will release the AMU final answer key 2023. With the help of the AMU entrance test 2023 answer key, applicants can calculate their expected scores before the declaration of the result. Steps to download the answer key of AMU entrance test are given below.
How to download the AMU Entrance Test answer key 2023
Visit the AMU official website.
Click on the ‘General Admission’ tab from the homepage.
Click on the direct link to check the answer key.
Now, select the course from the dropdown menu.
AMU entrance test answer key will be displayed.
Download AMU entrance test 2023 answer key for future reference.
AMU Entrance Test 2023 Result
The exam conducting authority will announce the AMU 2023 entrance test result in online mode. Applicants will be able to check the AMU entrance test result through the official website. The AMU 2023 entrance test result consists of details such as roll number and rank of the candidate. No candidates will receive the result of AMU 2023 through post or courier. Steps to download the AMU entrance test result are given below.
How to check AMU entrance test result 2023?
Visit the AMU official website.
Click on 'Admission & Exams' tab from the homepage
Select the 'General Admission' tab under the 'Admission' option.
Click on 'Results of Admission Tests under 'Result/Answer Keys of Admission Test' section.
Select the respective faculty and program.
AMU entrance test result 2023 PDF will appear on the screen.
Download the result PDF for future reference.
AMU Entrance Test 2023 Cutoff
The minimum qualifying marks required to clear the entrance test is the AMU cutoff. The university will release the AMU 2023 cut off marks along with the counselling schedule. The AMU cut off 2023 will be released separately for girls and boys. AMU entrance test 2023 cutoff will vary as per the course and category selected by the candidates.
AMU Entrance Test 2023 Counselling
Mode of Counselling: Online
After the declaration of the AMU 2023 entrance test result, the exam conducting authority will commence the counselling process. The counselling of AMU 2023 will be conducted separately depending upon the ranking of the candidates. AMU counselling 2023 comprises registration, choice filling, seat allotment, document verification and others.
Only those candidates who cleared the cut off marks will be eligible for the AMU 2023 counselling. After the successful verification of the qualified candidates and the fee payment, the seats will be allotted to the candidates. To confirm their admission, the candidates have to pay the admission fees.
Documents Required at Counselling
 Class 10 /high school or its equivalent examination certificate (as proof of age)
 Class 12 marks sheet/ grade sheet or equivalent qualifying test (along with four selfattested photocopies)
 10 recent colour photographs
 Migration/ transfer/ character certificate from the last attended institution
 Category certificates (if applicable)
 Four selfaddressed envelopes with postage stamps of Rs. 22 each (to be submitted in the office of the provost of hall of residence/NRSC allotted).
 Two oath commissioner’s affidavit on plain paper – one on candidate’s behalf and other on behalf of candidate’s parents/guardian (regarding notindulgence in ragging)
 Admission fee payment at the cash counter of the admission venue either in cash or through bank demand draft (DD) from a nationalised bank. DD should be made in favour of the finance officer, AMU, Aligarh payable at Aligarh
General Information
Frequently Asked Questions (FAQs)
Question:When will the AMUEEE 2023 entrance exam for UG engineering be conducted?
Answer:
AMUEEE 2023 exam for UG engineering will be held in May 2023
Question:What will be the mode of AMU entrance test exam 2023?
Answer:
The AMU entrance test is being conducted in pen and paperbased mode.
Question:When will the Aligarh Muslim University entrance test be held?
Answer:
The AMU 2023 entrance examination test has begun from April 30.
Question:Who will conduct the AMU entrance exam?
Answer:
The Aligarh Muslim University conducts the AMU 2023 entrance test.
Question:How many marks will be deducted for incorrect answer in AMU entrance exam 2023?
Answer:
0.25 marks will be deducted for every incorrect answer in the AMU entrance test 2023.
Question:How many exam centres of AMU 2023 are there?
Answer:
There are a total of seven AMU exam centres around the country.
Question:What is the mode of filling AMU admission form 2023?
Answer:
The mode of filling the AMU application form is online.
Question:How can I take admission to MTech programme at AMU?
Answer:
The admissions to MTech programmes is done generally with the help of the GATE exam, but in the case of remaining seats, the admissions will be done through the AMU department test.
Question:When will the counselling of AMU 2023 begin?
Answer:
The AMU counselling 2023 will begins soon.
Question:Is there any direct admission in Aligarh Muslim University?
Answer:
No, the admissions to the programmes offered by Aligarh Muslim University will be done with the help of the AMU entrance test.
Question:When will the application form of AMU 2023 be released?
Answer:
The Aligarh Muslim University has released the AMU application form 2023 for UG programmes on February 15, 2023.
Questions related to AMU Entrance Test
when will the aligarh muslim University 2021 for undergraduate application form release? tell me
Probably by mid june due to the university in shut position.
3 year llb option available in Aligarh Muslim university
hello aspirant,
yes, AMU offers LLB courses to the students, but due to the corona virus outbreak the exam has been postponed.
for more information, you ca refer to the following website
hope that helps
all the best
amueee cutoff how many mark get for computer science engineering
Hello Sanzar,
Hope everything going well and good.
The AMUEEE cutoff list will be released tentatively in the last week of June 2020. The Exam cutoff for External students is around 7580 Marks out of the total 150 Marks. However for getting into Computers and Electronics it is around 85 marks.
For further reference kindly visit the following link:
https://engineering.careers360.com/articles/amueeecutoff
Hope it helped. Thank you.
All the best.
BBA Course Available in Aligarh Muslim University
If NBA course available in Aligarh Muslim university
Is DTU is worth to be choose as engineering college?
Hello,
DTU is Delhi oldest engineering college who rank in India's prestigious college ,I think DTU have great exposure to their students .
It depends what other choices you have instead of DTU
But yes DTU mechanical is pretty well and DTU has best faculty in mechanical branch even the availability of machines and equipments are good