The most important topics for ICAR AIEEA entrance for physics, chemistry, and mathematics are as follows:

1. Physics:

1. Thermodynamics
2. Electrostatics
3. Current Electricity
4. Magnetic Effects of Current and Magnetism
5. Electromagnetic Induction and Alternating Currents

2. Chemistry:

a. Inorganic Chemistry:

1. p-Block Elements (Group 15)

2. Group 16, Group 17 elements and Group 18 elements

3. d and f Block Elements

4. Coordination Compounds

5. Hydrogen

b. Organic Chemistry:

1. Haloalkanes and Haloarenes

2. Hydrocarbons

3. Alcohols, Phenols and Ethers

4. Aldehydes, Ketones and Carboxylic Acids

5. Organic compounds containing Nitrogen

c. Physical Chemistry:

1. Structure of Atom

2. Classification of Elements and Periodicity in Properties

3. Chemical Bonding and Molecular Structure

4. States of Matter: Gases and Liquids

5. Thermodynamics

6. Equilibrium

3. Mathematics:

1. Relations & Functions

2. Trigonometric Functions

3. Algebra: Complex Numbers and Quadratic Equations, Linear Inequalities, Matrices, Determinant, Binomial Theorem, Permutations & Combinations

4. Coordinate Geometry

5. Calculus: Limits and Derivatives, Continuity and Differentiability, Applications of Derivatives, Integrals, Differential Equations, Applications of the Integrals