Exam Level 
Graduation 
Exam Format 
Objective 
Conducted Body 
IIT Kharagpur 
Frequency of Exam 
Once A Year 
Exam Category 
National Level Exam 
Mode of Payment 
Online 
Mode of Exam 
Online 
Language 
English 
The syllabus of JEE Advanced covers topics from Physics, Chemistry and Mathematics. The questions are based on the syllabus of Science stream of class 11th and class 12th. Students need to clear their base in Subject of math, chemistry and physics to score well in the JEE Advanced examination. The syllabus of JEE Advanced is different from the syllabus of JEE Main. The syllabus of JEE Advanced consists of every single topic of Physics, Chemistry and Mathematics.
UNIT 1: Algebra
Complex Numbers 

Algebra of complex numbers 
Properties of modulus and principal argument 
Addition 
Triangle inequality 
Multiplication 
Cube roots of unity 
Conjugation 
Geometric interpretations 
Polar representation 

Quadratic Equations 

Quadratic equations with real coefficients 
Formation of quadratic equations with given roots 
Relations between roots and coefficients 
Symmetric functions of roots 


Sequence and Series 

Arithmetic, geometric and harmonic progressions 
Arithmetic, geometric and harmonic means 
Sums of finite arithmetic and geometric progressions 
Infinite geometric series 
Sums of squares and cubes of the first n natural numbers 



Logarithms 

Logarithms and their properties 



Permutation and combination 

Problems on Permutations and combinations 



Binomial Theorem 

Binomial theorem for a positive integral index 
Properties of binomial coefficients 


Matrices and Determinants 

Matrices as a rectangular array of real numbers, addition, multiplication by a scalar and product of matrices 
The determinant of a square matrix of order up to three 
Transpose of a matrix 
The inverse of a square matrix of order up to three 
Properties of matrix operations 
Diagonal, symmetric and skewsymmetric matrices and their properties 
Solutions of simultaneous linear equations in two or three variables 



Probability 

Addition and multiplication rules of probability 
Conditional probability 
Bayes theorem 
Independence of events 
Computation of the probability of events using permutations and combinations 

UNIT 2: Trigonometry
Trigonometric Functions 

Trigonometric functions and their periodicity and graphs 
The general solution of trigonometric equations 
Addition and subtraction formulae 
Formulae involving multiple and submultiple angles 


Inverse Trigonometric Functions 

Relations between sides and angles of a triangle 
Sine rule 
Cosine rule 
Halfangle formula and the area of a triangle 
Inverse Trigonometric Functions 

UNIT 3: Vectors
Addition of Vectors 
Scalar Multiplication 
Dot and cross products 
Scalar triple products and their geometric interpretations 
UNIT 4: Differential Calculus
Functions 

Realvalued functions of a real variable 
Sum, difference, product, and quotient of two functions. 
Into, onto and onetoone functions. 
polynomial 
Composite functions 
Rational, exponential and logarithmic functions 
absolute value 
Trigonometric functions 
Even and odd functions 
the inverse of a function 
continuity of composite functions 
intermediate value property of continuous functions 


Limits and Continuity 

Limit and continuity of a function 
Limit and continuity of the sum, difference, product and quotient of two functions 
L’Hospital rule of evaluation of limits of functions 



Derivatives 

a derivative of a function 
Chain rule 
the derivative of the sum, difference, product and quotient of two functions 
derivatives of polynomial 
Trigonometric inverse 
logarithmic functions 
exponential functions 
Trigonometric functions 
Derivatives of implicit functions 
derivatives up to order two 
geometrical interpretation of the derivative 
Tangents and normals 
increasing and decreasing functions 
maximum and minimum values of a function 
Rolle’s Theorem 
Lagrange’s Mean Value Theorem 
UNIT 5: Integral Calculus
Integration 

Integration as the inverse process of differentiation 
Fundamental Theorem of Integral Calculus 
Indefinite integrals of standard functions, definite integrals, and their properties 
Integration by parts 
integration by the methods of substitution 
partial fractions 
Application of Integration 



Differential Equations 

Formation of ordinary differ 
The solution of homogenous differential equations 
Separation of variables method 
Linear firstorder differential equations 
SYLLABUS OF PHYSICS
UNIT 1: General Physics
Units and Dimensions 

About Units & dimensions 
dimensional analysis 
Least count and significant figures. 



Experimental Analysis 

Methods of measurement 
error analysis for physical quantities pertaining to various experiments 
Verification of Ohm’s law using voltmeter and ammeter 
the specific resistance of the material of a wire using meter bridge and post office boxes 
speed of sound using resonance column 
Specific heat of a liquid using a calorimeter 
focal length of a concave mirror and a convex lens using the uv method 

UNIT 2: Mechanics
Kinematics 

Kinematics in one and two dimensions 
projectiles 
Uniform Circular Motion, relative velocity 



Newton’s laws of motion 

Inertial and Momentum 
uniformly accelerated frames of reference 
laws of motion 
Static and dynamic friction 
Work and power 
Kinetic and potential energy. 
Conservation of linear momentum and mechanical energy. 
Gravitation 


System of Particles 

Centre of mass and its motion 
Impulse 
Elastic and inelastic collisions 



Harmonic Motions 

Linear and angular simple harmonic motions 
Hooke’s law, Young’s modulus 


Pressure in Fluid 

Pascal’s law 
Surface energy and surface tension 
Buoyancy 
capillary rise, viscosity (Poiseuille’s equation excluded) 
Stoke’s law 
terminal velocity 
Streamline flow 
equation of continuity 
Bernoulli’s theorem and its applications 
speed of sound in gases 
Waves 
superposition of waves. 
Progressive and stationary waves 
Resonance and Beats 
longitudinal and transverse waves 



Thermal Physics 

Thermal expansion of solids, liquids, and gases, calorimetry, latent heat 
Newton’s law of cooling; Ideal gas laws 
Heat conduction in one dimension, 
elementary concepts of convection and radiation, 
Specific heats (Cv and Cp for monatomic and diatomic gases), 
Isothermal and adiabatic processes, the bulk modulus of gases. 
Equivalence of heat and work 
The first law of thermodynamics and its applications 
Blackbody radiation 
absorptive and emissive powers 
Kirchhoff’s law 
Wien’s displacement law, Stefan’s law 
UNIT 3: Electricity and magnetism
Electric Fields 

Coulomb’s law; Electric field and potential 
Electric field lines; Flux of the electric field 
Gauss’s law and its application in simple cases 
Capacitance 
Capacitors in series and parallel, Energy stored in a capacitor 
Series and parallel arrangements of resistances and cells 
Electric current; Ohm’s law; 
Heating effect of current 
Kirchhoff’s laws and simple applications 



Magnetic Fields 

Biot Savart’s law and Ampere’s law 
Moving coil galvanometer, voltmeter, ammeter and their conversions. 
Force on a moving 
Electromagnetic Induction 
Faraday’s law, Lenz’s law. 
Self and mutual inductance 
RC, LR and LC circuits with D.C. and A.C. sources 

UNIT 4: Optics
Reflection and Refraction 

Rectilinear propagation of light 
Deviation of light by a prism 
Reflection at plane and spherical surfaces 
Dispersion of light by a prism 
Thin lenses, Combinations of mirrors and thin lenses; Magnification 
Refraction at the plane and spherical surfaces 


Wave nature of light 

Huygen’s principle. 
Interference limited to Young’s doubleslit experiment 
UNIT 5: Modern Physics
Atomic nucleus; Alpha, beta and gamma radiations 
Law of radioactive decay 
Moseley’s law; de Broglie wavelength of matter waves 
Characteristic and continuous Xrays 
Photoelectric effect 
Bohr’s theory of hydrogenlike atoms 
Decay constant; Halflife and mean life; Binding energy and its calculation 
Fission and fusion processes 
Energy calculation in the processes 

SYLLABUS OF CHEMISTRY
Syllabus of chemistry is divided into three parts namely Physical chemistry syllabus, Inorganic chemistry syllabus and organic chemistry syllabus.
Physical Chemistry Syllabus
Unit 1: General topics 

Atoms and molecules 
Mole concept, Dalton’s atomic theory 
Balancing of chemical equations 
Neutralization and displacement reactions 
mole fraction, molality, molarity, and normality 



Unit 2: Liquid and Gaseous states 

absolute scale of temperature 
ideal gas equation 
Deviation from ideality, 
van der Waals equation 
Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature 
Law of partial pressures, Vapour pressure and Diffusion of gases 


Unit 3: Atomic Structure and Chemical Bonding 

Bohr model 
Orbital overlap and the covalent bond; 
the spectrum of a hydrogen atom, quantum numbers, Waveparticle duality, de Broglie hypothesis and the Uncertainty principle 
Qualitative quantum mechanical picture of the hydrogen atom 
VSEPR model and shapes of molecules 
Polarity in molecules, dipole moment 


Unit 4: Energetics 

The first law of Thermodynamics 
Internal energy 
Work and heat 
PressureVolume work 
Enthalpy, Hess’s law; Heat of reaction, fusion, and vaporization 
The second law of Thermodynamics 
Entropy 
Free energy, and criterion of spontaneity 


Unit 5: Chemical Equilibrium 

Law of mass action 
The equilibrium constant, and Le Chatelier’s principle 
Solubility product, common ion effect, pH, and buffer solution 
Hydrolysis of salts. 
Acids and bases 
Electrochemistry 
Chemical Kinetics 
Solid States 
Nuclear Chemistry 
Solutions 
Inorganic Chemistry Syllabus
Unit 1: Isolation/preparation and Properties of the nonmetals 

Boron, silicon, nitrogen, phosphorus, oxygen, sulphur, and halogens. 
Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur 


Unit 2: Preparation and properties of the compounds 

Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur 
Boron 
Carbon 
Nitrogen 
Oxygen 
Halogens 


Unit 3: Transition elements 

nomenclature of mononuclear coordination compounds, 
cistrans and ionisation isomerism 
hybridization and geometries of mononuclear coordination compounds 



Unit 4: Preparation and properties of compounds 

Like Oxides and chlorides of tin, and lead 
Oxides, chlorides and sulphates 
Potassium permanganate 
potassium dichromate 
silver oxide 
silver nitrate, 
silver thiosulphate 



Other topics 

Ores and Minerals 
Reduction Methods 
Organic Chemistry Syllabus
Basic Topics of Organic Chemistry 
Preparation of Alkenes and Alkynes 
Properties and Reactions of Alkenes and Alkynes 
Preparation of Alkanes 
Properties and Reactions of Alkanes 
Reactions of Phenol and Benzene 
Characteristics of Reactions 
Carbohydrates 
Practical Organic Chemistry 
