Mathematics

• Complex numbers and quadratic equations

• Matrices and determinants

• Sets, relations and functions

• Mathematical induction

• Permutations and combinations

• Mathematical reasoning

• Limit, continuity and differentiability

• Integral calculus

• Three-dimensional geometry

• Differential equations

• Binomial theorem and its simple applications

• Sequences and series

• Vector algebra

• Statistics and probability

• Trigonometry

• Co-ordinate geometry

Physics

Section A

• Physics and measurement

• Rotational motion

• Thermodynamics

• Kinematics

• Work, energy and power

• Properties of solids and liquids

• Gravitation

• Laws of motion

• Oscillations and waves

• Electronic devices

• Kinetic theory of gases

• Current electricity

• Communication systems

• Electromagnetic induction and alternating currents

• Magnetic effects of current and magnetism

• Optics

• Electromagnetic waves

• Atoms and nuclei

• Electrostatics

• Dual nature of matter and radiation

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Chemistry

Physical Chemistry

• Some basic concepts in chemistry

• States of matter

• Atomic structure

• Chemical bonding and molecular structure

• Chemical thermodynamics

• Solutions

• Equilibrium

• Redox reactions and electrochemistry

• Chemical kinetics

• Surface chemistry

Organic Chemistry

• Purification and characterisation of organic compounds

• Hydrocarbons

• Chemistry in everyday life

• Principles related to practical chemistry

• Organic compounds containing halogens

• Organic compounds containing oxygen

• Organic compounds containing nitrogen

• Polymers

• Some basic principles of organic chemistry

• Biomolecules

Inorganic Chemistry

• Classification of elements and periodicity in properties

• Hydrogen

• Block elements (alkali and alkaline earth metals)

• P Block elements group 13 to group 18 elements

• d- and f - block elements

• Co-ordination compounds

• Environmental chemistry

• General principles and processes of isolation of metals