IIT JAM Syllabus 2024 Out: Download Syllabus PDF for Mathematics, Biotechnology, Physics, Chemistry

Subjects

Topics

Biology, Chemistry, Mathematics, and Physics

Physical Chemistry, Organic Chemistry, Inorganic Chemistry

The Planet Earth, Geomorphology, Structural Geology, Palaeontology, Stratigraphy, Mineralogy, Petrology, Economic Geology, Applied Geology

Mathematics and Statistics

Sequences and Series of Real Numbers, Functions of Two Real Variables, Differential Equations, Vector Calculus, Group Theory, Linear Algebra, Real Analysis

Mathematical Methods, Mechanics and General Properties of Matter, Oscillations, Waves and Optics, Electricity and Magnetism, kinetic theory, Thermodynamics, Modern Physics, solid State Physics, Devices and Electronics, Simple Oscillators

Consumer theory, Production, costs with perfectly competitive markets, General equilibrium and welfare, Market structure, Game theory, Public goods and market failure, National Income Accounting, Behavioural and Technological Functions, Business Cycles and Economic Models

Sequences and Series of Real Numbers

Real Analysis

Series of real numbers, absolute convergence, tests of convergence for series of positive terms

Rank and inverse of a matrix

Functions of Two or Three Real Variables

Linear Algebra

Integral Calculus

Group Theory

Double and triple integrals

Vector Calculus

Differential Equations

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General Biology

Biochemistry and Physiology

Basic Biotechnology

Molecular Biology

Cell Biology

Microbiology

Sets, Relations and Functions

Mathematical Induction

Logarithms

Complex numbers

Linear and Quadratic equations

Sequences and Series

Trigonometry

Cartesian System of Rectangular Coordinates

Straight lines and Family

Circles

Conic Sections

Permutations and Combinations

Binomial Theorem

Exponential and Logarithmic Series

Mathematical Logic

Statistics

Three Dimensional Geometry

Vectors

Matrices and Determinants

Boolean Algebra

Probability

Functions

limits and Continuity

Differentiation

Application of Derivatives

Definite and Indefinite Integrals

Differential Equations

Physical World and Measurement

Elementary Statics and Dynamics

Kinematics

Laws of Motion

Work

Energy and Power

Electrostatics

Current electricity

Magnetic Effects of Current and Magnetism

Electromagnetic Induction and Alternating Current

Electromagnetic waves

Optics

Dual Nature of Matter and Radiations

Atomic Nucleus

Solids and Semiconductor Devices

Principles of Communication

Motion of System of Particles and Rigid Body

Gravitation

Mechanics of Solids and Fluids

Heat and Thermodynamics

Oscillations, Waves

Mathematical Methods

Mechanics and General Properties of Matter

Oscillations, Waves and Optics

Electricity and Magnetism

Kinetic theory and Thermodynamics

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Topic

Sub-Topic

Basic Mathematical Concepts

Functions; maxima and minima; integrals; ordinary differential equations; vectors and matrices; determinants; elementary statistics and probability theory.

Atomic and Molecular Structure

Fundamental particles; Bohr’s theory of hydrogen-like atom; wave-particle duality; uncertainty principle; Schrödinger’s wave equation; quantum numbers; shapes of orbitals; Hund’s rule and Pauli’s exclusion principle; electronic configuration of simple homonuclear diatomic molecules.

Theory of Gases

Equation of state for ideal and non-ideal (van der Waals) gasses; Kinetic theory of gasses; Maxwell-Boltzmann distribution law; equipartition of energy.

Solid State

Crystals and crystal systems; X-rays; NaCl and KCl structures; close packing; atomic and ionic radii; radius ratio rules; lattice energy; Born-Haber cycle; isomorphism; heat capacity of solids.

Chemical Thermodynamics

Reversible and irreversible processes; first law and its application to ideal and nonideal gases; thermochemistry; second law; entropy and free energy; criteria for spontaneity.

Chemical and Phase Equilibria

Law of mass action; Kp, Kc, Kx and Kn; effect of temperature on K; ionic equilibria in solutions; pH and buffer solutions; hydrolysis; solubility product; phase equilibria–phase rule and its application to one-component and two-component systems; colligative properties.

Electrochemistry

Conductance and its applications; transport number; galvanic cells; EMF and free energy; concentration cells with and without transport; polarography; concentration cells with and without transport; Debye-Huckel-Onsagar theory of strong electrolytes.

Chemical Kinetics

Reactions of various order; Arrhenius equation; collision theory; transition state theory; chain reactions – normal and branched; enzyme kinetics; photochemical processes; catalysis.

Adsorption

Gibbs adsorption equation; adsorption isotherm; types of adsorption; surface area of adsorbents; surface films on liquids.

Spectroscopy

Beer-Lambert law; fundamental concepts of rotational, vibrational, electronic and magnetic resonance spectroscopy.

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Sub-Topic

Basic Concepts in Organic Chemistry and Stereochemistry

Electronic effects (resonance, inductive, hyperconjugation) and steric effects and its applications (acid/base property); optical isomerism in compounds with and without any stereocenters (allenes, biphenyls); conformation of acyclic systems (substituted ethane/n-propane/n-butane) and cyclic systems (mono- and di-substituted cyclohexanes).

Organic Reaction Mechanism and Synthetic Applications

Chemistry of reactive intermediates (carbocations, carbanions, free radicals, carbenes, nitrenes, benzynes etc.); Hofmann-Curtius-Lossen rearrangement, Wolff rearrangement, Simmons-Smith reaction, Reimer-Tiemann reaction, Michael reaction, Darzens reaction, Wittig reaction and McMurry reaction; Pinacol-pinacolone, Favorskii, benzilic acid rearrangement, dienone-phenol rearrangement, Baeyer-Villeger reaction; oxidation and reduction reactions in organic chemistry; organometallic reagents in organic synthesis (Grignard, organolithium and organocopper); Diels-Alder, electrocyclic and sigmatropic reactions; functional group interconversions and structural problems using chemical reactions.

Qualitative Organic Analysis

Identification of functional groups by chemical tests; elementary UV, IR, and 1H NMR spectroscopic techniques as tools for structural elucidation.

Chemistry of alkaloids, steroids, terpenes, carbohydrates, amino acids, peptides, and nucleic acids.

Natural Products Chemistry

Aromatic and Heterocyclic Chemistry: Monocyclic, bicyclic and tricyclic aromatic hydrocarbons, and monocyclic compounds with one hetero atom: synthesis, reactivity, and properties.

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Periodic Table

Periodic classification of elements and periodicity in properties; general methods of isolation and purification of elements.

Chemical Bonding and Shapes of Compounds

Types of bonding; VSEPR theory and shapes of molecules; hybridization; dipole moment; ionic solids; structure of NaCl, CsCl, diamond, and graphite; lattice energy.

Main Group Elements (s and p blocks)

General concepts on group relationships and gradation in properties; structure of electron-deficient compounds involving main group elements.

Transition Metals (d block)

Characteristics of 3d elements; oxide, hydroxide, and salts of first row metals; coordination complexes: structure, isomerism, reaction mechanism, and electronic spectra; VB, MO and Crystal Field theoretical approaches for structure, color, and magnetic properties of metal complexes; organometallic compounds having ligands with back bonding capabilities such as metal carbonyls, carbenes, nitrosyls, and metallocenes; homogenous catalysis.

Bioinorganic Chemistry

Essentials and trace elements of life; basic reactions in the biological systems and the role of metal ions, especially Fe2+, Fe3+, Cu2+, and Zn2+; structure and function of hemoglobin and myoglobin and carbonic anhydrase.

Instrumental Methods of Analysis

Basic principles; instrumentations and simple applications of conductometry, potentiometry, and UV-vis spectrophotometry; analysis of water, air and soil samples.

Analytical Chemistry

Principles of qualitative and quantitative analysis; acid-base, oxidation-reduction and complexometric titrations using EDTA; precipitation reactions; use of indicators; use of organic reagents in inorganic analysis; radioactivity; nuclear reactions; applications of isotopes.

Mathematics

Sequences and Series

Matrices

Differential Calculus

Integral Calculus

Statistics

Probability

Random Variables

Joint Distributions

Standard Distributions

Sampling Distributions and Limit Theorems

Estimation

Testing of Hypotheses

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Topics

The Planet Earth

Stratigraphy

Geomorphology

Applied Geology

Structural Geology

Mineralogy

Paleontology

Petrology

Economic Geology

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Topic

Sub-Topic

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.

Behavioral 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.

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Sub-topic

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 numbers.

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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 labor market: unemployment, labor force participation rates.

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Preliminaries and functions

Set theory and number theory, elementary functions: quadratic, polynomial, power, exponential, logarithmic, functions of several variables, graphs and level curves, convex set, concavity and quasiconcavity of function, convexity and quasi-convexity of functions, sequences and series: convergence, algebraic properties and applications, complex numbers and its geometrical representation, De Moivre’s theorem and its application.

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: characteristics and applications.

Integral calculus

Definite integrals, fundamental theorems, indefinite integrals and applications.