Engineering Entrance

IIT JAM 2027 Syllabus: Paper-wise Topics for All Seven Papers

The IIT JAM 2027 syllabus is published separately for each of the seven test papers by IIT Kharagpur, the organising institute for the 14 February 2027 exam. Each syllabus is pitched at undergraduate level, and most papers follow the B.Sc. curriculum of the subject closely, so your degree textbooks remain the main resource.

This page lists the official sections of every paper with the topics to cover and a suggested starting point, explains where papers overlap if you are taking two, and ends with a phased plan for the months left before the exam. The section names below follow the 2027 syllabus PDFs on the official website; the per-topic notes on where to start are our guidance, not part of the official syllabus.

JAM 2027 Syllabus at a Glance

Paper

Code

Session

Official sections

Biotechnology

BT

Afternoon

6

Chemistry

CY

Forenoon

4

Economics

EN

Afternoon

6

Geology

GG

Forenoon

2 parts, 9 units

Mathematics

MA

Forenoon

3

Mathematical Statistics

MS

Afternoon

12

Physics

PH

Afternoon

7

Every paper has the same structure: 60 questions for 100 marks in 3 hours, split into MCQ, MSQ and NAT sections.

Key Points to Know

  • Syllabus is paper-specific: There is no common general aptitude section. You are tested only on the paper you choose.

  • Topic lists are official: IIT Kharagpur publishes a topic-wise syllabus for each paper, so you can use it as a complete checklist.

  • Weightage is not published topic-wise: Only Mathematical Statistics states a split (about 25% Mathematics and 75% Statistics). For other papers, use previous year papers to judge which units carry more questions.

  • Two-paper candidates: If you take two papers, they must be in different sessions, so plan the syllabus overlap early.

Physics (PH) Syllabus

Section

Topics to cover

Start with

Mathematical Methods

Calculus, vector calculus with Gauss, Green and Stokes theorems, differential equations, matrices, complex numbers, Fourier series, error analysis

Vector calculus and matrices

Mechanics and General Properties of Matter

Newton's laws, rotating frames, central forces and gravitation, conservation laws, collisions, rigid-body rotation, fluid flow

Central forces and rigid bodies

Oscillations, Waves and Optics

Free, damped and forced oscillations, wave motion, Doppler effect, geometrical optics, interference, diffraction, polarisation

Oscillators and interference

Electricity and Magnetism

Electrostatics, dielectrics, magnetostatics, induction, AC and DC circuits, Maxwell's equations, electromagnetic waves

Electrostatics and Maxwell's equations

Kinetic Theory and Thermodynamics

Kinetic theory of gases, equations of state, laws of thermodynamics, entropy, phase transitions, statistical distributions

Laws of thermodynamics

Modern Physics

Special relativity, blackbody radiation, photoelectric and Compton effects, Schrodinger equation in simple potentials, nuclear physics and radioactivity

Quantum basics and relativity

Solid State Physics, Devices and Electronics

Crystal structure, semiconductors, diodes and transistors, amplifiers, oscillators, op-amps, logic gates

Semiconductors and logic gates

Mathematical methods and electromagnetism support almost every other section, so building them first makes the rest faster.

Chemistry (CY) Syllabus

Section

Topics to cover

Start with

Basic Mathematical Concepts

Functions, maxima and minima, integrals, differential equations, vectors, matrices, determinants, elementary statistics

Quick revision only

Physical Chemistry

Atomic structure, gaseous, liquid and solid states, thermodynamics, chemical and phase equilibria, electrochemistry, kinetics, adsorption, spectroscopy

Thermodynamics and kinetics

Organic Chemistry

Stereochemistry, reaction mechanisms and synthesis, named reactions, pericyclic reactions, qualitative analysis with UV, IR and NMR, natural products, aromatic and heterocyclic chemistry

Mechanisms and stereochemistry

Inorganic Chemistry

Periodic trends, extraction of metals, bonding and VSEPR, s- and p-block chemistry, coordination and organometallic chemistry, bioinorganic chemistry, instrumental and analytical methods

Coordination chemistry

Physical chemistry questions are often numerical and suit the NAT section, while organic chemistry tends to dominate the conceptual MCQs and MSQs.

Mathematics (MA) Syllabus

Section

Topics to cover

Start with

Real Analysis

Sequences and series, convergence tests, power series, limits and continuity, differentiability, mean value theorems, Taylor series, Riemann integration

Sequences and series

Multivariable Calculus and Differential Equations

Partial and total derivatives, maxima and minima, double and triple integrals, first-order ODEs, second-order linear ODEs, Cauchy-Euler equations

Double integrals and ODEs

Linear Algebra and Algebra

Matrices, rank, eigenvalues, vector spaces, linear transformations, groups, subgroups, cyclic and permutation groups, Lagrange's theorem, homomorphisms

Matrices and group theory

The Mathematics paper is short in syllabus but deep in concepts. Real analysis and group theory reward careful proof-level understanding, especially in MSQs.

Mathematical Statistics (MS) Syllabus

Mathematics (about 25%)

  • Sequences and series: Convergence, Cauchy sequences, limit superior and inferior, convergence tests, power series.

  • Differential and integral calculus: Continuity and differentiability in one and two variables, mean value theorems, Taylor series, Lagrange multipliers, double integrals, Beta and Gamma integrals.

  • Matrices and determinants: Rank, inverse, linear systems, eigenvalues, Cayley-Hamilton theorem, quadratic forms.

Statistics (about 75%)

  • Probability and distributions: Descriptive statistics, probability axioms, Bayes' theorem, univariate and multivariate distributions, moment generating functions.

  • Limit theorems and sampling: Laws of large numbers, central limit theorem, order statistics, chi-square, t and F distributions.

  • Inference: Estimation (unbiasedness, sufficiency, UMVUE, Cramer-Rao bound, MLE), confidence intervals, Neyman-Pearson lemma, likelihood ratio tests, nonparametric tests.

  • Stochastic processes: Discrete-time Markov chains and the Poisson process.

Biotechnology (BT) Syllabus

Section

Topics to cover

Start with

General Biology

Cell biology, biochemistry, genetics, molecular biology, evolution and ecology

Molecular biology

Microbial, Plant and Animal Biotechnology

Microbiology and fermentation, plant tissue culture and transgenics, immunology, animal cell culture

Microbiology

Biotechniques

Chromatography, electrophoresis, PCR, cloning, sequencing, bioinformatics, spectroscopy and flow cytometry

PCR and cloning

Chemistry

Atomic structure, bonding, equilibrium, thermodynamics, electrochemistry, basic organic chemistry

Equilibrium and organic basics

Mathematics

Algebra, coordinate geometry, calculus, probability and statistics at 10+2 level

Calculus

Physics

Mechanics, thermodynamics, electricity and magnetism, optics, modern physics at 10+2 level

Mechanics

Some older pages quote fixed section shares for this paper; the 2027 syllabus does not state section weightage, so treat any such split as indicative.

Economics (EN) Syllabus

  • Mathematics for Economics: Functions, calculus, difference and differential equations, linear algebra, constrained optimisation and linear programming.

  • Statistics for Economics: Descriptive statistics, probability, standard distributions, estimation, law of large numbers and central limit theorem.

  • Hypothesis testing and regression: Test statistics, p-values, OLS, maximum likelihood, the classical linear regression model and Gauss-Markov theorem.

  • Microeconomics: Consumer and producer theory, market structures, general equilibrium, welfare, game theory and market failure.

  • Macroeconomics: National income, consumption, money and inflation, IS-LM, fiscal policy, growth models and open-economy macroeconomics.

  • Indian Economy: Structure and reforms, poverty and inequality, demographics, sectoral performance, external sector and the Union Budget.

Geology (GG) Syllabus

  • Geology 1: The Planet Earth, geomorphology, structural geology, palaeontology, stratigraphy, mineralogy and petrology.

  • Geology 2: Economic geology (ore deposits, coal and hydrocarbons) and applied geology (groundwater, engineering geology, remote sensing).

Structural geology and petrology carry many diagram and map-based questions, so practise stereographic projections and mineral optics early.

Overlap Between Paper Pairs

Pair

Shared areas

How to plan

Mathematics and Mathematical Statistics

Sequences and series, calculus, matrices and eigenvalues

Study the MA versions once in depth; they cover the MS mathematics part fully

Chemistry and Physics

Thermodynamics, atomic structure, spectroscopy basics

Use physics for the theory and chemistry for applied problems

Biotechnology and Chemistry

Bonding, equilibrium, organic basics

BT asks these at a lower depth, so CY preparation covers them

Economics and Mathematics

Calculus, linear algebra, optimisation

Learn the mathematics once at the MA level, then practise economic applications

Economics and Mathematical Statistics share a lot of statistics, but both are in the afternoon session, so you cannot take them together.

Is There an Interview?

No. Admission to the IITs through JAM is based on the All India Rank in the test paper, category, seat availability and each programme's minimum educational qualifications. There is no separate interview or written test at the admitting IITs.

How to Cover the IIT JAM Syllabus

  1. October to November: Finish one full reading of every section with standard degree textbooks, and make short notes and formula sheets as you go.

  2. December: Solve topic-wise questions and previous year papers section by section, and start an error log.

  3. January: Take two full-length mocks a week in the 3-hour format, and revise weak topics from your error log between mocks.

  4. February: Move to revision only: formula sheets, error log and one or two final mocks in the exam session timing.

Frequently Asked Questions

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