JEE Advanced syllabus includes all the chapters covered in XI and XII class of Physics, Chemistry and Mathematics from NCERT textbooks.
JEE Advanced Physics
JEE Advanced General:
Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities about the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Young’s modulus by Searle’s method, Specific heat of a liquid using a calorimeter, Determination of g using a simple pendulum, the focal length of a concave mirror and a convex lens using the 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.
JEE Advanced Mechanics:
Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity Online. You can also chek NEET Previous year question paper
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; Center 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.
JEE Advanced Linear and angular simple harmonic motions
Hooke’s law, Young’s modulus
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, 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).
JEE Advanced Thermal Physics:
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.
JEE Advanced Electricity and Magnetism:
Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of an electric field; Gauss’s law and its application in simple cases, such as, to find field due to 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 the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and 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.
JEE Advanced 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 double-slit experiment.
JEE Advanced Modern Physics:
Atomic nucleus; α, β and radiations; Law of radioactive decay; Decay constant; Half-life and mean life; Fission and fusion processes; Energy calculation in these processes. Binding energy and its calculation; Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves. Tips for preparing Chemistry
JEE Advanced Mathematics
JEE Advanced Algebra:
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, triangle inequality, properties of modulus and principal argument, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, formation of quadratic equations with given roots, relations between roots and coefficients, symmetric functions of roots.
Arithmetic, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, geometric and harmonic 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, addition, multiplication by a scalar and product of matrices, equality of matrices, transpose of a matrix, Determinant of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, the inverse of a square matrix of order up to three, 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.
JEE Advanced Trigonometry:
Trigonometric functions, their periodicity, graphs, formulae involving multiple and sub-multiple angles, addition and subtraction formulae, general solution of trigonometric equations.
Relations between sides and angles of a triangle, cosine rule, sine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).
JEE Advanced 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.
Equations 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, and equations of tangent and normal.
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.
JEE Advanced Differential Calculus:
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, the intermediate value property of continuous functions.
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.
JEE Advanced Integral Calculus:
Integration as the inverse process of differentiation, definite integrals, and their properties, indefinite integrals of standard functions, 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
JEE Advanced Vectors:
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products, and their geometrical interpretations
Best of luck to the students!!!