JEE Advanced 2021 syllabus is important for students to understand and comprehend in order to crack JEE Advanced 2021. JEE Advanced is required to be qualified to get admissions in IITs across the country. Thousands of students qualify JEE Main and appear for JEE Advanced. Those who qualify for JEE Advanced require rigorous practice and dedicated hard work to ace the JEE Advanced 2021 exam. To begin with, one has to have a clear idea of the syllabus for the exam. JEE Advanced Syllabus 2021 is comprehensive and far-reaching which requires understanding and complete awareness of the topics.
Modulus and principal argument, conjugation, multiplication, triangle inequality, geometric interpretations. polar representation. Algebra of complex numbers, addition, cube roots of unity.
Quadratic equations, the formation of quadratic equations, roots and coefficients, symmetric functions., infinite geometric series, sums of squares and cubes of the first n natural numbers. Logarithms, Arithmetic, geometric and harmonic progressions, mean, sum,
Permutations and combinations, binomial theorem properties of binomial coefficients.
A rectangular array of real numbers, addition, multiplication by a scalar and product of matrices, transpose of a matrix, Determinant of a square matrix, inverse of a square matrix, properties of matrix operations, diagonal, and their properties, solutions of simultaneous linear equations in two or three variables. equality of matrices, symmetric and skew-symmetric matrices
Bayes Theorem, Addition and multiplication rules of probability, conditional probability, probability of events using permutations and combinations, independence of events.
Periodicity and graphs,, addition and subtraction formulae, sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, The general solution of trigonometric equations. inverse trigonometric functions (principal value only). formulae involving multiple and sub-multiple angles
Equation of a circle. Parametric equations, equation of a circle through the points of intersection
Equations of a parabola, hyperbola ellipse and in standard form, foci, eccentricity. Locus problems.
Direction cosines and ratios, equation of a straight line in space, a distance of a point from a plane. equation of a plane
Cartesian coordinates, section formulae, a shift of origin.
Equation of a straight line, the angle between two lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, Lines through the point of intersection of two given lines, incentre and circumcentre of a triangle
Limit & continuity, Rolle’s theorem, Tangents and normals, continuous functions, Ls hospital rule, polynomial, Lagrange’s theorem, chain rule, even and odd functions, inverse trigonometric, logarithmic function, increasing functions, decreasing functions, derivatives, an intermediate value of the continuous function, absolute value, onto, one-one functions, other types of functions
Integration by substitution, partial fractions, fundamental theorem of calculus, the inverse process of differentiation, application of definite integrals for finding area, homogenous equations, linear first-order equations, separation of variables, indefinite integrals, definite integrals
Scalar triple products, Geometrical interpretations if scaler triple product, dot and cross product, the addition of vectors, Scalar multiplication
Vernier callipers, screw gauge, Determination of g using a simple pendulum, Young’s modulus, Speed of sound, Verification of Ohm’s law, the specific resistance of the material x, Units and dimensions. Methods of measurement and error analysis, Specific heat of a liquid, the focal length of a concave mirror and a convex lens using the u-v method, Dimensional analysis,
Thermal expansion of solids
Elementary concepts of convection and radiation, Newton's law of cooling, Kirchhoff’s law
Specific heats (Cv and Cp for monoatomic and diatomic gases) Ideal gas laws
Equivalence of heat and work, Stefan’s law.
The first law of thermodynamics
Blackbody radiation: absorptive and emissive powers
Wien’s displacement law
Isothermal and adiabatic processes, the bulk modulus of gases
Rectilinear propagation of light;
The different phenomenon of light,
Wave nature of light
Bohr’s theory of hydrogen-like atoms;
Photoelectric effect; Moseley’s law; Characteristic and continuous X-rays, de Broglie wavelength of matter waves.
Electricity and Magnetism
Topics related to Coulomb’s law, Capacitance and related concepts;
Biot–Savart’s law and Ampere’s law; Magnetic field by different objects
The magnetic moment of different objects,
Electromagnetic induction and related topics.
Kinematics in one and two dimensions,
Newton’s laws of motion and related topics,
Systems of particles
Law of gravitation, Escape velocity.
Rigid body, parallel and perpendicular axes theorems, a moment of inertia of uniform bodies momentum; Dynamics of rigid bodies; cylinders and spheres; Equilibrium of rigid bodies;
Linear and angular simple harmonic motions. The vibration of strings
Pressure in a fluid; Pascal’s law, Stoke’s law; Bernoulli’s theorem and its applications. Wave motion (plane waves only), Progressive and stationary waves; Speed of sound in gases; Doppler effect (in sound). Torque; Conservation of angular momentum, Rolling without slipping of rings, Collision of point masses with rigid bodies, Hooke’s law, Young’s modulus. Terminal velocity, Streamline flow, equation of continuity, longitudinal and transverse waves, superposition of waves;
Dalton’s atomic theory
Concept of atoms and molecules
oxidation-reduction, neutralization, and displacement reactions
mole fraction, molarity, molality and normality.
Gaseous and Liquid State
Deviation from ideality, van der Waals equation
Kinetic theory of gases
Law of partial pressures
Diffusion of gases.
ideal gas equation
The absolute scale of temperature,
Atomic Structure and Chemical Bonding
The spectrum of the hydrogen atom,
Qualitative quantum mechanical picture of the hydrogen atom, Aufbau principle
de Broglie hypothesis
Orbital energy diagrams for homonuclear diatomic species
Pauli’s exclusion principle and Hund’s rule
Orbital overlap and covalent bond
Polarity in molecules, dipole moment (qualitative aspects only)
The first law of thermodynamics
The second law of thermodynamics
The criterion of spontaneity.
Internal energy, work and heat, pressure-volume work
Enthalpy, Hess’s law
The heat of reaction, fusion and vapourization
Law of mass action
Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure)
Significance of ΔG and ΔG0 in chemical equilibrium
Solubility product, common ion effect, pH and buffer solutions
Acids and bases (Bronsted and Lewis concepts)
Hydrolysis of salts.
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
Rates of chemical reactions
Order of reactions
Temperature dependence of the rate constant (Arrhenius equation).
Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), the close-packed structure of solids (cubic), packing in fcc, bcc and hcp lattices
Nearest neighbours, ionic radii, simple ionic compounds, point defects.
Molecular weight determination from lowering of vapour pressure, the elevation of boiling point and depression of freezing point.
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).
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 proton-neutron ratio
A brief discussion on fission and fusion reactions.
Isolation/preparation and properties of the following non-metals
Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens
Properties 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
Aluminium: 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
Transition Elements 3D Series
Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment
Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans and ionisation 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 Fe2+, Cu2+ and Zn2+
Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.
Ores and Minerals
Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium,
zinc and silver.
Chemical principles and reactions only (industrial details excluded)
Carbon reduction method (iron and tin)
Self reduction method (copper and lead)
Electrolytic reduction method (magnesium and aluminium)
Cyanide process (silver and gold).
Principles of qualitative analysis
Groups I to V (only Ag+ , Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+)
Nitrate, halides (excluding fluoride), sulphate and sulphide.
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 catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination)
Reactions of alkenes with KMnO4 and ozone
Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions
Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen)
Addition reactions of alkynes; Metal acetylides.
Reactions of benzene
Structure and aromaticity
Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation
Effect of o-, m- and p-directing groups in monosubstituted benzenes.
Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation)
Reimer-Tieman reaction, Kolbe reaction.
Mono- and di-saccharides (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
Detection of elements (N, S, halogens)
Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro
Chemical methods of separation of mono-functional organic compounds from binary mixtures.
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, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones
Ethers: Preparation by Williamson’s Synthesis
Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation
Aldol condensation, Perkin 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 substituted haloarenes (excluding Benzyne mechanism and Cine substitution).
Hybridisation of carbon
σ and π-bonds
Shapes of simple organic molecules
Structural and geometrical isomerism
Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded)
Conformations of ethane and butane (Newman projections)
Resonance and hyperconjugation
Determination of empirical and molecular formulae of simple compounds (only combustion method)
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 produced during homolytic and heterolytic bond cleavage
Formation, structure and stability of carbocations, carbanions and free radicals.