JEE Advanced Syllabus 2019
Every student who is preparing for the Joint Entrance Examination knows the amount of focus, hard work, and diligence that has to be to won a battle against a million other brains.
Doing well in the exam would mean that the JEE aspirants get to answer the ultimate test, the JEE Advanced, and eventually contest for a seat at the muchcoveted IITs across the country.
So, how does a student cross this biggest of hurdles, the JEE Advanced Examination and make it to the list of successful candidates with a seat in a renowned engineering college, not to mention only a few get to write the Advanced Examination?
JEE Advanced Syllabus – An Introduction
The students who have qualified in JEE Main 2019 and among the top candidates as per the criteria set can appear in the JEE Advanced 2019. The JEE Advanced 2019 will be conducted by the IITs under the guidance of the Joint Admission Board (JAB) 2019. The performance of a candidate in this examination will form the basis for admission to the courses in all the IITs.
The decisions of the JAB 2019 will be final in all matters related to the JEE Advanced 2019 and admission to IITs. The examination consists of two papers, Paper I and Paper II that will be held in fully computerbased test mode. An indepth analysis and study of important topics that are covered in the syllabus are essential to ensure good results in the JEE Advanced Examination.
JEE Advanced 2019 Syllabus
The following list displays the subjectwise breakup of topics in the syllabus for the JEE Advanced Examination 2019.
JEE Advanced 2019 Physics Topics by Weightage
Paper I
Thermodynamics 
1415% 
Electromagnetic Induction 
2122% 
Optics 
1112% 
Modern Physics 
910% 
Fluid Mechanics 
1112% 
Sound Waves 
45% 
Centre of Mass, Momentum, and Collision 
67% 
Alternating Current 
67% 
Wave Motion and String Waves 
67% 
Heat Transfer 
67% 
Paper II
Alternating Current 
67% 
Capacitors 
910% 
Current Electricity 
67% 
Electrostatics 
67% 
Gravitation 
45% 
Kinematics 
45% 
Magnetism 
1112% 
Measurement and Errors 
45% 
Modern Physics 
45% 
Rotational Dynamics 
2930% 
Vectors 
45% 
Wave Optics 
56% 
JEE Advanced 2019 Chemistry Topics by Weightage
Paper I
Aldehydes, Ketones and Carboxylic Acids 
1415% 
Atomic Structure 
1415% 
Chemical Bonding 
45% 
Organic Chemistry 
1112% 
Solid State 
45% 
Coordination Compounds 
45% 
Electrochemistry 
45% 
PBlock Elements 
1314% 
Thermodynamics 
67% 
Hydrocarbons 
1314% 
Solutions 
67% 
Paper II
Alcohols, Phenols, and Ethers 
910% 
Chemical Kinetics 
67% 
Electrochemistry 
45% 
Equilibrium in Physical and Chemical Processes 
67% 
Haloalkenes and Haloarenes 
67% 
Hydrocarbons 
67% 
Organic Compounds Containing Nitrogen 
910% 
PBlock Elements 
2223% 
Solutions 
45% 
Some PBlock Elements 
67% 
Study of the First Element: Hydrogen 
45% 
Surface Chemistry 
67% 
Thermodynamics 
45% 
JEE Advanced 2019 Mathematics Topics by Weightage
Paper I
Application of Derivatives 
1415% 
Ellipse 
45% 
Circles 
910% 
Parabola 
1112% 
Definite Integrals 
1112% 
Permutations and Combinations 
45% 
Sequence and Series 
45% 
Matrices 
1112% 
Limits and Continuity 
67% 
Hyperbola 
67% 
Probability 
67% 
Complex Numbers 
67% 
Paper II
3D Geometry 
2021% 
Application of Derivatives 
1920% 
Area of Bounded Regions 
67% 
Definite Integrals 
1314% 
Differential Equations 
45% 
Limits and Continuity 
67% 
Matrices 
45% 
Probability 
45% 
Sets, Relations and Functions 
45% 
Theory of Equations 
910% 
Trigonometry 
67% 
JEE Advanced Architecture Aptitude Test Syllabus 2019
Sections 
Topics 
Freehand Drawing 

Geometrical Drawing 

Threedimensional Perception 

Differential Equations 

Limits and Continuity 
General interest and awareness of:

Subjectwise Syllabus in PDF for JEE Advanced 2019
You can download the JEE Advanced syllabus in PDF format below.
 Click here to get the Syllabus for JEE (Advanced) Physics 2019.
 Click here to get the Syllabus for JEE (Advanced) Chemistry 2019.
 Click here to get the Syllabus for JEE (Advanced) Mathematics 2019.
Content for SYLLABUS FOR JEE (Advanced) – 2019 Physics.pdf
PHYSICS
General topics
Units and dimensions, dimensional analysis; least count, significant figures; Approaches of measurement and error analysis for physical quantities pertaining to the following experiments: Using Vernier calipers and screw gauge (micrometer), Determination of â€‹gâ€‹ using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using â€‹uâ€‹â€‹vâ€‹ method, Speed of sound by means of resonance column, Verification of Ohm’s law by voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
Mechanics
 Kinematics in one and two dimensions (Cartesian coordinates only), projectiles;
 Uniform circular motion; Relative velocity.
 Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Management of linear momentum and mechanical energy.
 Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
 Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
 Rigid body, the moment of inertia, parallel and perpendicular axes theorems, the moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque
 Conservation of angular momentum; Dynamic forces of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders, and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.
 Linear and angular simple harmonic motions.
 Hooke’s law, Young’s modulus.
 Fluid pressure; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and applications.
 Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns;
 Resonance; Beats; Speed of sound in gases; Doppler Effect (in sound).
Thermal physics
 Thermal expansion of solids, liquids, and gases; Calorimetry, latent heat; Heat transference in one dimension; Elementary concepts of convection and radiation;
 Newton’s law of cooling; Ideal gas laws; Specific heats (Câ€‹v â€‹and Cp â€‹for monoatomic and diatomic gases); Isothermal and adiabatic processes, the bulk modulus of gases;
 Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.
Electricity and magnetism
 Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its use in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and thin spherical shell.
 Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy kept in a capacitor.
 Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.
 Biot–Savart’s law and Ampere’s law; Magnetic field near a currentcarrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a dynamic charge and on a currentcarrying wire in a uniform magnetic field.
 The magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter, and their conversions.
 Electromagnetic induction: Faraday’s law, Lenz’s law; self and mutual inductance; RC, LR and LC circuits with dc and ac sources.
Optics
 Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.
 Wave nature of light: Huygen’s principle, interference limited to Young’s doubleslit experiment.
Modern physics
 Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant;
 Halflife and mean life; Binding energy and its calculation; Fission and fusion processes;
 Energy calculation.
 Photoelectric effect; Bohr’s theory of hydrogenlike atoms; Characteristic and continuous Xrays, Moseley’s law; de Broglie wavelength of matter waves.
Content for SYLLABUS FOR JEE (Advanced) – 2019 Chemistry.pdf
CHEMISTRY
Physical chemistry
General topics
Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidationreduction, neutralization, and displacement reactions; Concentration in terms of mole fraction, molarity, molality, and normality.
Gaseous and liquid states
The 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; Diffusion of gases.
Atomic structure and chemical bonding
Bohr model, spectrum of hydrogen atom, quantum numbers; Waveparticle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical visual of hydrogen atom, shapes of â€‹sâ€‹, â€‹pâ€‹ and â€‹dâ€‹orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridization involving â€‹sâ€‹, â€‹pâ€‹ and â€‹dâ€‹ orbitals; Orbital energy diagrams for homonuclear diatomic species; Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).
Energetics
The first law of thermodynamics; Internal energy, work, and heat, pressurevolume work; Enthalpy, Hess’s law; Heat of reaction, fusion, and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.
Chemical equilibrium
Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature, and pressure); Significance of ΔG and ΔGâ€‹0 â€‹in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions; Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.
Electrochemistry
Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.
Chemical kinetics
Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).
Solid state
Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), the closepacked structure of solids (cubic), packing in fcc, bcc and hcp lattices; Adjacent neighbors, ionic radii, simple ionic compounds, point defects.
Solutions
Raoult’s law; Molecular weight determination due to lowering of vapor pressure,
Elevation of boiling point and depression of freezing point.
Surface chemistry
Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).
Nuclear chemistry
Radioactivity: isotopes and isobars; Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to protonneutron ratio; fission and fusion reactions.
Inorganic Chemistry
Isolation/preparation and properties of the following nonmetals
Boron, silicon, nitrogen, phosphorus, oxygen, sulphur, and halogens; Characteristics of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.
Preparation and properties of the following compounds
Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and borax; Aluminum: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (Carbonic acid); Silicon: silicones, silicates and silicon carbide; Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.
Transition elements (3d series)
Definition, general characteristics, oxidation states, and their stabilities, color
(excluding the details of electronic transitions) and calculation of spinonly magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans, and ionization isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).
Preparation and properties of the following compounds
Oxides and chlorides of tin and lead; Oxides, chlorides, and sulphates of Feâ€‹2+â€‹, Cuâ€‹2+â€‹ and Znâ€‹2+â€‹; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.
Ores and minerals
Frequently occurring ores and minerals of iron, copper, tin, lead, magnesium,
aluminum, zinc, and silver.
Extractive metallurgy
Chemical principles and reactions (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead); Electrolytic reduction method (magnesium and aluminum); Cyanide process (silver and gold).
Principles of qualitative analysis
Groups I to V (only Agâ€‹+â€‹, Hgâ€‹2+â€‹, Cuâ€‹2+â€‹, Pbâ€‹2+â€‹, Biâ€‹3+â€‹, Feâ€‹3+â€‹, Crâ€‹3+â€‹, Alâ€‹3+â€‹, Caâ€‹2+â€‹, Baâ€‹2+â€‹, Znâ€‹2+â€‹, Mnâ€‹2+â€‹ and Mgâ€‹2+â€‹); Nitrate, halides (excluding fluoride), sulphate and sulphide.
Organic Chemistry
Concepts
Hybridization of carbon; σ and πbonds; Shapes of simple organic molecules; Structural and geometrical isomerism; Optical isomerism of compounds comprising up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, monofunctional and bifunctional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Ketoenoltautomerism; empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates created during hemolytic and heterolytic bond cleavage; Formation, structure and stability of carbocations, carbanions and free radicals.
Preparation, properties, and reactions of alkanes
Homologous series, physical properties of alkanes (melting points, boiling points, and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.
Preparation, properties, and reactions of alkenes and alkynes
Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalyzed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnOâ€‹4â€‹and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with Xâ€‹2â€‹, HX, HOX and Hâ€‹2â€‹O (X=halogen); Addition reactions of alkynes; Metal acetylides.
Reactions of benzene
Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, FriedelCrafts alkylation and acylation; Impact of â€‹oâ€‹, â€‹mâ€‹ and â€‹pâ€‹directing groups in monosubstituted benzenes.
Phenols
Acidity, electrophilic substitution reactions (halogenation, nitration, and sulphonation); ReimerTieman reaction, Kolbe reaction.
Characteristic reactions of the following (including those mentioned above)
Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions, nucleophilic substitution reactions; Alcohols: esterification, dehydration, and oxidation, reaction with sodium, phosphorus halides, ZnClâ€‹2â€‹/concentrated HCl, alteration of alcohols into aldehydes and ketones; Ethers: Williamson’s Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition); Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and replaced haloarenes (excluding Benzyne mechanism and Cine substitution).
Carbohydrates
Classification; mono and disaccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.
Amino acids and peptides
General structure (only primary structure for peptides) and physical properties.
Properties and uses of some important polymers
Natural rubber, cellulose, nylon, Teflon, and PVC.
Practical organic chemistry
Identification of elements (N, S, halogens); Recognition and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino, and nitro; Chemical methods of separation of monofunctional organic compounds from binary mixtures.
Content for SYLLABUS FOR JEE (Advanced) – 2019 Mathematics.pdf
MATHEMATICS
Algebra
 Algebra of complex numbers, addition, multiplication, conjugation, polar representation, features of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
 Quadratic equations with real coefficients, the relation between roots and coefficients, the formation of quadratic equations with given roots, symmetric functions of roots.
 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 â€‹nâ€‹ natural numbers.
 Logarithms and their characteristics.
 Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.
 Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skewsymmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
 Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
Trigonometry
 Trigonometric functions, their periodicity, and graphs, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations.
 Association between sides and angles of a triangle, sine rule, cosine rule, halfangle formula and the area of a triangle, inverse trigonometric functions (principal value only).
Analytical geometry
 Two dimensions: Cartesian coordinates, the distance between two points, section formulae, the shift of origin.
 Equation of a straight line in various forms, angle between two lines, the distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle.
 Calculation of a circle in various forms, equations of tangent, normal and chord.
 Parametric equations of a circle, the intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
 Equations of a parabola, ellipse, and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.
 Locus problems.
 Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, the distance of a point from a plane.
Differential calculus
 Realvalued functions of a real variable, into, onto and onetoone functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
 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.
 Even and odd functions, the inverse of a function, continuity of composite functions, the intermediate value property of continuous functions.
 The derivative of a function, the derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic 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 and Lagrange’s mean value theorem.
Integral calculus
 Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.
 Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
 Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
Vectors
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
Difference between JEE Main and Advanced Syllabus
Some of the topics included in the syllabus for JEE Main across the subjects but excluded from the JEE Advanced syllabus are listed below for your reference.
Physics:
 Electronic Devices: Semiconductors; semiconductor diode: IV characteristics in forward and reverse bias; diodes as a rectifier; IV characteristics of LED, photodiode, solar cell, and diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and Oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.
 Electromagnetic Waves: Electromagnetic waves; Characteristics of Electromagnetic Waves; Transverse nature of electromagnetic waves; Electromagnetic spectrum; Applications of Electromagnetic waves.
 Communication Systems: Electromagnetic waves’ propagation; Amplitude and Frequency Modulation; Bandwidth of signals & transmission medium; Basic elements of a Communication System (Block Diagram only).
 Mechanics of Solids: Bulk Modulus and Modulus of rigidity.
 Optics: Diffraction and Polarisation.
 The entirety of Magnetism and Matter and Semiconductors are not part of the JEE Advanced syllabus.
Chemistry:
 States of Matter & Solutions: Liquid state; Electric, magnetic and dielectric properties of solids; Henry’s law, osmotic pressure.
 Chemical Bonding: Discovery of subatomic particles and earlier atomic models.
 Equilibrium: Physical equilibrium.
 Chemical Kinetics: Collision theory.
 Surface Chemistry: Adsorption Isotherms.
 Inorganic Chemistry: Entire H chapter; F Block elements.
 Biomolecules: Proteins; Vitamins – Classification and functions; Nucleic acids – Chemical constitution of DNA and RNA.
 Chemistry in Everyday Life: Chemicals in medicines – Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamines – meaning and common examples.
Chemicals in food – Common examples of Preservatives, artificial sweetening agents
Cleansing agents – Soaps and detergents, cleansing action.  Practical Chemistry: an Only qualitative analysis of GP 14 included and rest is excluded from the JEE Advanced syllabus.
 Apart from these, complete chapters of Hydrogen, F Block elements and Environmental Chemistry are excluded from the JEE Advanced syllabus.
Mathematics:
 Sets, Relations, and Functions: Sets and their representation; Union, intersection, and complement of sets and their algebraic properties; power set; Relation, Types of relations, equivalence relations.
 Statistics and Probability: Measures of Dispersion; calculation of mean, median. Mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
 Trigonometry: Heights and Distances.
 Mathematical Reasoning: Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse, and contrapositive.
 Mathematical Induction is not included in the JEE Advanced syllabus.
Some of the topics included in the syllabus for JEE Advanced across the subjects but excluded from the JEE Main syllabus are listed below for your reference.
Physics:
 Thermal Physics: Newton’s law of cooling; Blackbody radiation; Absorptive and Emissive powers; Kirchoff’s law; Wein’s Displacement Law; Stefan’s Law.
Chemistry:
 Electrochemistry: Equivalent Conductivity.
 Nuclear Chemistry: Radioactivity; Properties of alpha, beta and gamma rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to protonneutron ratio; fission and fusion reactions.
 Normality and Equivalent Weight
Mathematics:
 Harmonic Progressions are included in the JEE Advanced syllabus.
Important Books for JEE Advanced 2019 Preparation
The following are the recommended books to read for the JEE Advanced 2019 Examination preparation after thoroughly going through the NCERT books for Class XI and XII.
Subject 
Name of the Book 
Name of the Author 
Publisher 
Physics 
Concepts of Physics Vol I and II 
H C Verma 
Bharati Bhawan Publishers 
Fundamentals of Physics 
Halliday & Resnick 
Wiley Publications 

Problems in General Physics 
I.E. Irodov 
Arihant Publications 

New Pattern IIT JEE Physics 
DC Pandey 
Arihant Publications 

Problems in Physics 
S.S. Krotov 
New Age International Publishers 

Advanced Level Physics 
Nelkon & Parker 
CBS Publishers 

Problems in Physics 
A.A. Pinsky 
MIR Publishers 

The Elements of Statics and Dynamics Part 1 and 2 
SL Loney 
Arihant Publications 

Dynamics of a Particle and of Rigid Bodies 
SL Loney 
New Age International Publishers 

Problems in Physics 
V. Zubov and V. Shalnov 
MIR Publishers 

The Feynman Lectures on Physics Vol. I & II 
Feynman Richard P. 
Pearson Education 

A Collection of Questions and Problems in Physics 
Sena L.A. 
CBS Publishers 

Physics Problems with Solutions 
Min Chen 
PrenticeHall Publications 

Chemistry 
Organic Chemistry 
O.P. Tandon 
GRB Publications 
Organic Chemistry 
Morrison & Boyd 
Pearson Education 

The mechanism in Organic Chemistry 
Peter Sykes 
Pearson Education 

Advanced Problems in Organic Chemistry 
M.S. Chouhan 
Balaji Publications 

Physical Chemistry 
O.P. Tandon 
GRB Publications 

Concise Inorganic Chemistry 
J.D. Lee 
Maestro Publishers 

Modern Approach to Chemical Calculations 
R.C. Mukherjee 
Bharati Bhawan Publishers 

Numerical Chemistry 
P. Bahadur 
GRB Publications 

University Chemistry 
Bruce M. Mahan & Rollie J. Meyers 
Pearson Education 

Atkins’ Physical Chemistry 
Peter Atkins & Julio De Paula 
Oxford Publishers 

General Chemistry 
Ebbing & Gammon 
Cengage Learning 

IIT JEE Chemistry 
O.P. Agarwal 
Jai Prakash Nath Publications 

Chemistry: Principles and Applications 
Sienko & Plane 
McGrawHill Publishers 

Mathematics 
Mathematics Class XI and XII 
R. D. Sharma 
Dhanpat Rai Publication 
Higher Algebra 
Hall & Knight 
Arihant Publications 

Differential Calculus, Integral Calculus 
Amit M. Agarwal 
Arihant Publications 

Algebra 
SK Goyal 
Arihant Publications 

Higher Algebra 
Barnard & Child 
Arihant Publications 

Vector & 3D Geometry 
Amit M. Agarwal 
Arihant Publications 

An Introduction to Probability Theory and Its Applications 
William Feller 
Wiley Publications 

The Elements of Coordinate Geometry 
SL Loney 
Arihant Publications 

Plane Trigonometry 
SL Loney 
Arihant Publications 

Problems in Calculus of One Variable 
IA Maron 
Arihant Publications 

Problems in Mathematics 
V Govorov, P Dybov, N Miroshin & S Smirnova 
Arihant Publications 

Complete Course in Mathematics for IIT – JEE 
 
Tata McGrawHill Publishers 

A Problem Book in Mathematical Analysis 
GN Berman 
Arihant Publications 

Textbook on Coordinate Geometry 
Gorakh Prasad & H.C. Gupta 
Pothishala Private Limited 

A Problem Book in Algebra 
V.A.Krechmar 
GKP Publications 

Objective Mathematics Vol I & II 
R. D. Sharma 
Dhanpat Rai Publications 

Differential Calculus 
Mishra Dasgupta Prasad 
Bharati Bhawan Publishers 