JEE ADVANCED Syllabus
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Detailed JEE Advanced SyllabusThe JEE Advanced Syllabus for both the Papers I and Paper II are given for each and every subject.To know more about JEE Advanced Exam check our fresherslive page instantly.
JEE Advanced Syllabus for MathematicsMathematics subject mainly deals with the basic chapters and also with the Algebraic calculations.The main topics are prescribed here.
- Algebra of complex numbers,
- Addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle
- Inequality, cube roots of unity, geometric interpretations.
- Quadratic equations with real coefficients, relations between roots and coefficients.
- 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 n natural numbers.
Logarithms and their properties
- 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.
- The inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric 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 the probability of events using permutations and combinations.
- Trigonometric functions, their periodicity, and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, the general solution of trigonometric equations.
- Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).
- 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, 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.
- Parametric equations of a circle, the intersection of a circle with a straight line or a circle, the 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.
- Real-valued functions of a real variable, into, onto and one-to-one 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, intermediate value property of continuous functions.
- A derivative of a function, a 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.
- 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, a solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
- The addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
JEE Advanced Syllabus for PhysicsPhysics mainly deals with the derivations and some physical quantities related problems.Here detailed chapters are prescribed here.
- Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier callipers and screw gauge (micrometre),
- Determination of g 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 u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
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; Conservation 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, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics 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.
The pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, the equation of continuity, Bernoulli’s theorem and its 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 expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation;
- Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, 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;
The flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to the infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored 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 current-carrying straight wire, along with the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying 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 d.c. and a.c. sources.
- 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 double-slit experiment.
- Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
- Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.
JEE Advanced Syllabus for ChemistryChemistry mainly deals with the Equations and Derivations and the detailed chapters are prescribed for the exam purpose.Here the topics are mentioned clearly with the sub topics.
The concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation reduction, neutralisation, 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; Wave-particle duality, de Broglie hypothesis;
Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d 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 s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species; Hydrogen 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).
- First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy, Hess’s law;
- Heat of reaction, fusion and vapourization; Second law of thermodynamics
- Entropy; Free energy; Criterion of spontaneity.
- 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; Concentration cells.
Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of 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 neighbors, ionic radii, simple ionic compounds, point defects.
- Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.
- Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties.
- Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close-packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.
- 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).
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 proton-neutron ratio; 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, o, ides and oxyacids of chlorine, bleaching powder; Xenon fluorides.
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, cis-trans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral.
- 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).
- 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 produced during homolytic and heterolytic bond cleavage, structure and stability of carbocations, carbanions and free radicals
- Hybridization 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); IUPAC nomenclature of simple organic compounds(only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Keto-enol tautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method);Hydrogenhydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of mono-functional organic compounds from binary mixtures.
Architecture Aptitude Test
- Freehand drawing -This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale. Common domestic or day-to-day life usable objects like furniture, equipment, etc., from memory.
- Geometrical drawing - Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc. Study of plan (top view), elevation (front) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders,
- Three-dimensional perception -Understanding and appreciation of three-dimensional forms with building elements, color, volume, and orientation. Visualisation through structuring objects in memory.
- Imagination and aesthetic sensitivity - Composition exercise with given elements. Context mapping. Creativity check through the innovative uncommon test with familiar objects. Sense of color
grouping or application.
- Architectural awareness - General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain.