IIT JAM Syllabus 2026: Exam Pattern, Download PDF for Free

Calculus of single and multiple variables, Multiple integrals, Stokes’ theorem, partial derivatives, Jacobian, Matrices and determinants, imperfect and perfect differentials.

Taylor expansion, Divergence theorem, Fourier series. First-order equations and linear second-order differential equations with constant coefficients.

Vector algebra, Vector Calculus, Green’s theorem. Algebra of complex numbers.

Velocity and acceleration in Cartesian, centrifugal, and Coriolis forces, Newton’s laws of motion and applications, Conservative and non-conservative forces.

Polar and cylindrical coordinate systems, uniformly rotating frame, Kepler’s laws, Gravitational Law and field, Motion under a central force. System of particles.

conservation of linear and angular momentum, Center of mass, conservation of energy, equation of motion of the CM, variable mass systems. Rigid body motion, moments of Inertia and products of Inertia.

rotation and translation, parallel and perpendicular axes theorem. Principal moments and axes, fixed axis rotations. Euler’s equation.

Kinematics of moving fluids, Bernoulli’s theorem, equation of continuity. Elastic and inelastic collisions.

Lissajous figures. Damped and forced oscillators, resonance. Differential equation for simple harmonic oscillator and its general solution.

Traveling and standing waves in one-dimension, Wave equation. Superposition of two or more simple harmonic oscillators. Energy density and energy transmission in waves.

Group velocity and phase velocity. Fermat’s Principle. Interference of light, optical path retardation. General theory of image formation. Thin lens and lens combinations, Thick lens.

Fraunhofer diffraction. Rayleigh criterion and resolving power. Doppler Effect. Diffraction gratings. Polarization: linear, circular and elliptic polarization. Double refraction and optical rotation. Sound waves in media.

Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Coulomb’s law, Gauss’s law. Electric field and potential.

Electrostatic boundary conditions, Solution of Laplace’s equation for simple cases. Biot-Savart law, Ampere’s law, Faraday’s law of electromagnetic induction, Self and mutual inductance. Alternating currents. Simple DC and AC circuits with R, L and C components.

Maxwell’s equations and plane electromagnetic waves, Displacement current, Poynting’s theorem, transmission and reflection coefficients (normal incidence only) reflection and refraction at a dielectric interface. Lorentz Force and motion of charged particles in electric and magnetic fields.

Elements of Kinetic theory of gases. Velocity distribution and Equipartition of energy. Specific heat of Mono-, di- and tri-atomic gases. Ideal gas, van-der-Waals gas and equation of state. Mean free path.

Laws of thermodynamics. Zeroth law and concept of thermal equilibrium. First law and its consequences. Isothermal and adiabatic processes. Reversible, irreversible and quasi-static processes.

Second law and entropy. Carnot cycle. Maxwell’s thermodynamic relations and simple applications. Thermodynamic potentials and their applications.

Phase transitions and Clausius-Clapeyron equation. Ideas of ensembles, Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein distributions.

Inertial frames and Galilean invariance. Postulates of special relativity. Lorentz transformations. Length contraction, time dilation. Relativistic velocity addition theorem, mass-energy equivalence.

Blackbody radiation, photoelectric effect, Compton effect, Bohr’s atomic model, X-rays. Wave-particle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrödinger equation and its solution for one, two and three-dimensional boxes.

Solution of Schrödinger equation for the one-dimensional harmonic oscillator. Reflection and transmission at a step potential, Pauli exclusion principle. Structure of atomic nucleus, mass and binding energy. Radioactivity and its applications. Laws of radioactive decay.

Crystal structure, Bravais lattices and basis. Miller indices. X-ray diffraction and Bragg's law; Intrinsic and extrinsic semiconductors, Variation of resistivity with temperature.

Fermi level. p-n junction diode, I-V characteristics, Zener diode and its applications, BJT: characteristics in CB, CE, CC modes. Single-stage Amplifier, two-stage R-C coupled amplifiers. Simple Oscillators: Barkhausen condition, sinusoidal oscillators.

OPAMP and applications: Inverting and non-inverting amplifier. Boolean algebra: Binary number systems; conversion from one system to another system; binary addition and subtraction.

Logic Gates AND, OR, NOT, NAND, NOR exclusive OR; Truth tables; Combinations of gates; de Morgan’s theorem.

IIT JAM 2026 Biotechnology Syllabus

Chemistry

IIT JAM Syllabus 2026 Geology

Orientation of planes and lines in space – concept of dip, strike, rake and plunge. Contour lines; Rule of ‘V’s and outcrop patterns; Interpretation of geological maps and cross-section construction;

Classification and origin of folds, faults, joints, unconformities, foliations and lineations; Stereographic and equal-area projections of planes and lines; Numerical problems related to outcrop and bore-hole data.

Definition and classification of rocks; Igneous rocks – forms of igneous bodies; Processes of evolution and diversification of magma; Classification, association, and genesis of common igneous rocks.

Sedimentary rocks – classification, texture, and structure; Petrology of sandstone and limestone; Elements of sedimentary environments and facies.

Metamorphic rocks – classification and texture; Types of metamorphism; Controls on metamorphism – pressure, temperature and fluids;

Concept of projections – ACF, AKF and AFM diagrams; Phase Rule and its applications; Concepts of zones and facies, Characteristic mineral assemblages of pelites in the Barrovian zones and mafic rocks in common facies.

IIT JAM Syllabus 2026 Economics

Consumer theory: Preference, utility and representation theorem, budget constraint, choice, demand (ordinary and compensated), Slutsky equation, revealed preference axioms.

Theory of production and cost: Production technology, isoquants, production function with one and more inputs, returns to scale, short run and long run costs, cost curves in the short run and long run.

General equilibrium and welfare: Equilibrium and efficiency under pure exchange and production, welfare economics, theorems of welfare economics.

Market structure: Perfect competition, monopoly, pricing with market power, price discrimination (first, second and third), monopolistic competition and oligopoly.

Game theory: Strategic form games, iterated elimination of dominated strategies, Nash equilibrium, mixed extension and mixed strategy. Nash equilibrium, examples: Cournot, Bertrand duopolies, Prisoner's dilemma.

Public goods and market failure: Externalities, public goods and markets with asymmetric information (adverse selection and moral hazard)

National income accounting: Structure, key concepts, measurements, and circular flow of income - for closed and open economy, money, fiscal and foreign sector variables - concepts and measurements.

Behavioural and technological functions: Consumption functions - absolute income hypothesis, life-cycle and permanent income hypothesis, random walk model of consumption, investment functions - Keynesian, money demand and supply functions, production function.

Business cycles and economic models (closed economy): Business cycles-facts and features, the Classical model of the business cycle, the Keynesian model of the business cycle, simple Keynesian cross model of income and employment determination and the multiplier (in a closed economy), IS-LM Model, Hicks' IS-LM synthesis, role of monetary and fiscal policies.

Business cycles and economic models (open economy): Open economy, Mundell-Fleming model, Keynesian flexible price (aggregate demand and aggregate supply) model, role of monetary and fiscal policies.

Inflation and unemployment: Inflation - theories, measurement, causes, and effects, unemployment - types, measurement, causes, and effects.

Growth models: Harrod-Domar, Solow and Neo-classical growth models (AK model, Romer model and Schumpeterian growth model).

Probability theory: Sample space and events, axioms of probability and their properties, conditional probability and Bayes’ rule, independent events, random variables and probability distributions, expectation, variance and higher order moments, functions of random variables, properties of commonly used discrete and continuous distributions, density and distribution functions for jointly distributed random variables, mean and variance of jointly distributed random variables, covariance and correlation coefficients.

Mathematical statistics: Random sampling, types of sampling, point and interval estimation, estimation of population parameters using methods of moments and maximum likelihood procedures, properties of estimators, sampling distribution, confidence intervals, central limit theorem, law of large number.

Hypothesis testing: distributions of test statistics, testing hypotheses related to population parameters, Type I and Type II errors, the power of a test, tests for comparing parameters from two samples.

Correlation and regression: Correlation and types of correlation, the nature of regression analysis, method of Ordinary Least Squares (OLS), CLRM assumptions, properties of OLS, goodness of fit, variance and covariance of OLS estimator

Indian economy before 1950: Transfer of tribute, deindustrialization of India.

Planning and Indian development: Planning models, relation between agricultural and industrial growth, challenges faced by Indian planning.

Indian economy after 1991: Balance of payments crisis in 1991, major aspects of economic reforms in India after 1991, reforms in trade and foreign investment.

Banking, finance and macroeconomic policies: aspects of banking in India, CRR and SLR, financial sector reforms in India, fiscal and monetary policy, savings and investment rates in India.

Inequalities in social development: India’s achievements in health, education and other social sectors, disparities between Indian States in human development.

Poverty: Methodology of poverty estimation, Issues in poverty estimation in India.

India’s labour market: unemployment, labour force participation rates.

Indian economy before 1950: Transfer of tribute, deindustrialization of India Planning and Indian development: Planning models, relation between agricultural and industrial growth, challenges faced by Indian planning Indian economy after 1991: Balance of payments crisis in 1991, major aspects of economic reforms in India after 1991, reforms in trade and foreign investment Banking, finance and macroeconomic policies: aspects of banking in India, CRR and SLR, financial sector reforms in India, fiscal and monetary policy, savings and investment rates in India Inequalities in social development: India’s achievements in health, education and other social sectors, disparities between Indian States in human development Poverty: Methodology of poverty estimation, Issues in poverty estimation in India India’s labour market: unemployment, labour force participation rates.

Differential calculus: Limits, continuity and differentiability, mean value theorems, Taylor’s theorem, partial differentiation, gradient, chain rule, second and higher-order derivatives: properties and applications, implicit function theorem, and application to comparative statics problems, homogeneous and homothetic functions: characterisations and applications.

Integral calculus: Definite integrals, fundamental theorems, indefinite integrals and applications.

Differential equations, and difference equations: First order difference equations, first order differential equations and applications.

Linear algebra: Matrix representations and elementary operations, systems of linear equations: properties of their solution, linear independence and dependence, rank, determinants, eigenvectors and eigenvalues of square matrices, symmetric matrices and quadratic forms, definiteness and semidefiniteness of quadratic forms.

Optimization: Local and global optima: geometric and calculus-based characterisations, and applications, multivariate optimization, constrained optimization and method of Lagrange multiplier, second-order condition of optima, definiteness and optimality, properties of value function: envelope theorem and applications, linear programming: graphical solution, matrix formulation, duality, economic interpretation