Iit Jam Mathematics Syllabus 2019 Pdf Download

JAM Syllabus 2022 - The conducting body of IIT JAM, IIT Roorkee has released the JAM 2022 syllabus along with the admission notification at the official website. With the syllabus of JAM 2022, the candidates can make themselves aware of all the important topics and units covered in the entrance test syllabus. Thus, the JAM syllabus 2022 guides students in preparing a study timetable and making them familiar with the weightage of the topics.

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IIT JAM Syllabus 2022 - Physics, Chemistry, Mathematics, Biotechnology

Apart from the IIT JAM 2022 syllabus, candidates must also look at the exam pattern to understand other aspects of the exam including the format, marking scheme, duration and structure of the exam. The idea of the IIT JAM syllabus 2022 is to give candidates details to identify the topics which are difficult and might require more time in comparison to others. IIT JAM 2022 will be held on February 13 in computer-based mode by one of the participating institutes of JAM.

IIT JAM Syllabus 2022

JAM Syllabus 2022

The syllabus of JAM 2022 mentions the details about the topics of test subjects such as Biotechnology, Geology, Mathematics, Chemistry, Physics and Mathematical Statistics. Following are the subject wise topics prescribed by the conducting body of IIT JAM. Candidates must refer to the topics given in the tables for their entrance examination preparation.

JAM Physics Syllabus 2022

Units	Topics/ Subtopics
Mathematical Methods	Calculus of Single and Multiple Variables, Taylor Expansion, Partial Derivatives, Jacobian, Fourier Series, Imperfect and Perfect Differentials, Vector Algebra, Vector Calculus, Multiple Integrals, Green's Theorem, Divergence Theorem, Stokes' Theorem, Matrices and Determinants, Algebra of Complex Numbers, First Order Equations and Linear Second Order Differential Equations with Constant Coefficients
Mechanics and General Properties of Matter	Velocity and Acceleration in Cartesian, Centrifugal and Coriolis Forces, Uniformly Rotating Frame, Kepler's Laws, Motion under a Central Force, Newton's Laws of Motion and Applications, Polar and Cylindrical Coordinate Systems, Gravitational Law and Field, Conservative and Non-Conservative Forces. Equation of Motion of the CM System of Particles, Center of Mass, Conservation of Linear and Angular Momentum, Elastic and Inelastic Collisions. Conservation of Energy, Variable Mass Systems.
Oscillations, Waves and Optics	Superposition of two or more Simple Harmonic Oscillators, Differential Equation for Simple Harmonic Oscillator and its General Solution, Damped and Forced Oscillators, Resonance, Lissajous Figures, Energy Density and Energy Transmission in Waves, Wave Equation, Traveling and Standing Waves in One-Dimension, Doppler Effect, Fermat's Principle, Group Velocity and Phase Velocity. Sound Waves in Media
Electricity and Magnetism	Superposition of two or more Simple Harmonic Oscillators, Differential Equation for Simple Harmonic Oscillator and its General Solution, Damped and Forced Oscillators, Resonance, Lissajous Figures, Energy Density and Energy Transmission in Waves, Wave Equation, Traveling and Standing Waves in One-Dimension, Doppler Effect, Fermat's Principle, Group Velocity and Phase Velocity. Sound Waves in Media
Kinetic theory, Thermodynamics	Elements of Kinetic Theory of Gases, Specific Heat of Mono-, Di- and Triatomic Gases, Velocity Distribution and Equipartition of Energy, Ideal Gas, Van-Der-Waals Gas and Equation of State, Mean Free Path, Carnot Cycle, Zeroth Law and Concept of Thermal Equilibrium, Reversible, Irreversible and Quasi-Static Processes, First Law and its Consequences, Second Law and Entropy, Laws of Thermodynamics, Isothermal and Adiabatic Processes
Modern Physics	Postulates of Special Relativity. Lorentz Transformations. Inertial Frames and Galilean Invariance, Time Dilation, Length Contraction, Relativistic Velocity Addition Theorem, Mass Energy Equivalence, Blackbody Radiation, Photoelectric Effect, Compton Effect, Bohr's Atomic Model, X-rays.
Solid State Physics, Devices and Electronics	Crystal Structure, Miller Indices. X-Ray Diffraction and Bragg's Law, Bravais Lattices and Basis, Intrinsic and Extrinsic Semiconductors, Variation of Resistivity with Temperature, Fermi Level. P-N Junction Diode, I-V Characteristics, BJT, Characteristics in CB, CE, CC Modes, Zener Diode and its Applications.

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JAM Geology Syllabus 2022

Units	Topics/ Subtopics
The Planet Earth	Origin of the Solar System and the Earth, Geosphere and the Composition of the Earth, Shape and Size of the Earth, Earth-Moon System, Formation of Continents and Oceans, Dating Rocks and Age of the Earth, Volcanism and Volcanic Landforms, Interior of Earth, Earthquakes, Earth's Magnetism and Gravity, Isostasy, Elements of Plate Tectonics, Orogenic Cycles, Geomorphology, Weathering and Erosion, Transportation and Deposition due to Wind, Ice, River, Sea, and Resulting Landforms, Structurally Controlled Landforms.
Structural Geology	Concept of Stratum, Contour, Outcrop Patterns, Maps and Cross Sections, Dip and Strike, Classification and Origin of Folds, Faults, Joints, Unconformities, Foliations and Lineations, Shear zones, Stereographic and Equal-Area Projections of Planes and Lines, Computation of True Thickness of Beds from Outcrops and Bore-Holes.
Paleontology	Major Steps in the Evolution of Life Forms, Fossils and their mode of Preservation and Utility, Morphological Characters, Major Evolutionary Trends and Ages of Important Groups of Animals – Brachiopoda, Mollusca, Trilobita, Graptolitoidea, Anthozoa, Echinodermata; Gondwana Plant Fossils, Elementary Idea of Vertebrate Fossils in India.
Stratigraphy	Principles of Stratigraphy, Litho-, Chrono- and Biostratigraphic Classification, Distribution and Classification of the Stratigraphic Horizons of India from Archaean to Recent.
Mineralogy	Symmetry and forms in Common Crystal Classes, Physical Properties of Minerals, Isomorphism and Polymorphism, Classification of Minerals, Structure of Silicates, Mineralogy of Common Rock-Forming Minerals, Mode of Occurrence of Minerals in Rocks, Transmitted Polarized Light Microscopy and Optical Properties of Uniaxial and Biaxial Minerals.
Petrology	Definition and Classification of Rocks, Igneous Rocks-Forms of Igneous Bodies, Crystallization from Magma, Classification, Association and Genesis of Igneous Rocks, Sedimentary Rocks – Classification, Texture and Structure, Size and Shape of Sedimentary Bodies, Metamorphic Rocks – Classification, Facies, Zones and Texture, Characteristics Mineral Assemblages of Pelites in the Barrovian Zones and Mafic Rocks in Common Facies
Economic Geology	Properties of Common Economic Minerals, General Processes of Formation of Mineral Deposits, Physical Characters, Mode of Occurrence and Distribution in India both of Metallic and Non-Metallic Mineral Deposits, Coal and Petroleum Occurrences in India.
Applied Geology	Ground Water, Principles of Engineering Geology

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JAM Mathematics Syllabus 2022

Units	Topics/ Subtopics
Sequences and Series of Real Numbers	Bolzano-Weierstrass Theorem, Cauchy Sequences, Subsequences. Absolute Convergence, Series of Real Numbers, Tests of Convergence for Series of Positive Terms - Comparison Test, Ratio Test, Root test, Convergence of Sequences, Convergence Criteria for Sequences of Real Numbers, Bounded and Monotone Sequences, Sequence of Real Numbers, Leibniz Test for Convergence of Alternating Series.
Functions of One Real Variable	Limit, Intermediate Value Property, Continuity, Differentiation, Rolle's Theorem, Mean Value Theorem Taylor's Theorem, L'Hospital Rule, Maxima and Minima.
Functions of Two or Three Real Variables	Limit, Continuity, Partial Derivatives, Differentiability, Maxima, and Minima.
Integral Calculus	Integration as an Inverse Process of Differentiation, Fundamental Theorem of Calculus, Definite Integrals and their Properties. Double and Triple Integrals, Calculating Surface Areas and Volumes using Double Integrals, Change of Order of Integration, Calculating Volumes using Triple Integrals.
Differential Equations	Orthogonal Trajectories, Homogeneous Differential Equations, Linear Differential Equations of Second Order with Constant Coefficients, Variable Separable Equations, Method of Variation of Parameters, Cauchy-Euler Equation, Ordinary Differential Equations of the First Order of the Form y'=f(xy), Bernoulli's Equation, Integrating Factor, Exact Differential Equations
Vector Calculus	Scalar and Vector Fields, Divergence, Gradient, Curl, Line Integrals, Green, Stokes and Gauss Theorems, Surface Integrals.
Group Theory	Groups, Subgroups, Non-Abelian Groups, Abelian Groups, Cyclic Groups, Permutation Groups, Normal Subgroups, Group Homomorphisms and Basic Concepts of Quotient Groups, Lagrange's Theorem for Finite Groups.
Linear Algebra	Matrix Representation, Rank-Nullity Theorem. Rank and Inverse of a Matrix, Determinant, Consistency Conditions, Solutions of Systems of Linear Equations, Eigenvalues, and Eigenvectors for Matrices, Finite-Dimensional Vector Spaces, Linear Independence of Vectors, Basis, Dimension, Linear Transformations, Range Space, Null Space, Cayley-Hamilton Theorem.
Real Analysis	Interior Points, Closed sets, Limit Points, Open Sets, Bounded Sets, Connected Sets, Compact Sets, Completeness of R. Power Series (of Real Variable), Radius and Interval of Convergence, Taylor's Series, Term-Wise Differentiation and Integration of Power Series.

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JAM Biotechnology Syllabus 2022

Units	Topics/ Subtopics
General Biology	Taxonomy, Heredity, Genetic Variation, Conservation, Principles of Ecology, Evolution, Techniques in Modern Biology.
Biochemistry and Physiology	Carbohydrates, Proteins, Lipids, Nucleic Acids, Enzymes, Vitamins, Hormones, Metabolism – Glycolysis, TCA Cycle, Oxidative Phosphorylation, Photosynthesis, Nitrogen Fixation, Fertilization and Osmoregulation, Vertebrates-Nervous System, Endocrine System, Vascular System, Immune System, Digestive System, and Reproductive System.
Basic Biotechnology	Tissue Culture, Application of Enzymes, Antigen-Antibody Interaction, Antibody Production, Diagnostic Aids
Molecular Biology	DNA, RNA, Replication, Transcription, Translation, Proteins, Lipids and Membranes, Operon Model, Gene Transfer
Cell Biology	Cell Cycle, Cytoskeletal Elements, Mitochondria, Endoplasmic Reticulum, Chloroplast, Golgi apparatus, Signaling,
Microbiology	Isolation, Cultivation, Structural features of Virus, Bacteria, Fungi, Protozoa, Pathogenic Microorganisms
Chemistry	Bohr's Theory and Schrodinger Wave Equation, Periodicity in Properties, Chemical Bonding, Properties of s, p, d and f block elements, Complex Formation, Coordination Compounds, Chemical Equilibria, Chemical Thermodynamics (First and Second Law), Chemical Kinetics (Zero, First, Second and Third Order Reactions), Photochemistry, Electrochemistry, Acid-Base Concepts, Stereochemistry of Carbon Compounds, Inductive, Electromeric, Conjugative Effects and Resonance, Chemistry of Functional Groups, Hydrocarbons, Alkyl Halides, Alcohols, Aldehydes, Ketones, Carboxylic Acids, Amines and their Derivatives, Aromatic Hydrocarbons, Halides, Nitro and Amino Compounds, Phenols, Diazonium Salts, Carboxylic and Sulphonic Acids, Mechanism of Organic Reactions, Soaps and Detergents, Synthetic Polymers, Biomolecules – Amino Acids, Proteins, Nucleic Acids, Lipids and Carbohydrates (Polysaccharides); Instrumental Techniques – Chromatography (TLC, HPLC), Electrophoresis, UV-Vis, IR and NMR Spectroscopy, Mass Spectrometry.
Mathematics	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
Physics	Physical World and Measurement, Kinematics, Laws of Motion, Work, Energy and Power, Electrostatics, Current electricity, Elementary Statics and Dynamics, Magnetic Effects of Current and Magnetism, Electromagnetic Induction and Alternating Current, Optics, Dual Nature of Matter and Radiations, Electromagnetic Waves, Atomic Nucleus, Motion of System of Particles and Rigid Body, Solids and Semiconductor Devices, Principles of Communication, Gravitation, Heat and Thermodynamics, Oscillations, Waves, Mechanics of Solids and Fluids,

JAM Mathematical Statistics Syllabus 2022

Units	Topics/ Subtopics
Mathematics
Sequences and Series	Comparison, Root and Ratio Tests for Convergence of Series of Real Numbers, Convergence of Sequences of Real Numbers.
Differential Calculus	Limits, Continuity and Differentiability of Functions of One and Two Variables. Rolle's Theorem, Mean Value Theorems, Indeterminate Forms, Taylor's Theorem, Maxima and Minima of Functions of One and Two Variables.
Integral Calculus	Fundamental Theorems of Integral Calculus, Applications of Definite Integrals, Arc Lengths, Double and Triple Integrals, Areas and Volumes.
Matrices	Rank, Inverse of a Matrix, Systems of Linear Equations, Eigenvalues and Eigenvectors, Linear Transformations, Symmetric, Cayley-Hamilton Theorem, Skew-Symmetric and Orthogonal Matrices.
Statistics
Probability	Axiomatic Definition of Probability and Properties, Multiplication Rule, Theorem of Total Probability, Conditional probability, Bayes' Theorem and Independence of Events
Random Variables	Probability Mass Function, Distribution of a Function of a Random Variable, Mathematical Expectation, Probability Density Function and Cumulative Distribution Functions, Moments and Moment Generating Function, Chebyshev's Inequality.
Standard Distributions	Geometric, Binomial, Negative Binomial, Poisson, Hypergeometric, Uniform, Beta and Normal Distributions, Exponential, Gamma. Poisson and Normal Approximations of a Binomial Distribution.
Joint Distributions	Joint, Marginal and Conditional Distributions, Distribution of Functions of Random Variables, Joint Moment Generating Function, Correlation, Simple Linear Regression, Product Moments, Independence of Random Variables.
Sampling distributions	Chi-Square, T and F Distributions and their Properties.
Limit Theorems	Weak Law of Large Numbers, Central Limit Theorem (i.i.d.with Finite Variance Case only).
Estimation	Unbiasedness, Method of Moments and Method of Maximum Likelihood, Consistency and Efficiency of Estimators. Sufficiency, Factorization Theorem, Rao-Blackwell and Lehmann-Scheffe Theorems, Completeness, Uniformly Minimum Variance Unbiased Estimators, Confidence Intervals for the Parameters of Univariate Normal, Two Independent Normal, and one Parameter Exponential Distributions. Rao-Cramer Inequality
Testing of Hypotheses	Basic Concepts, Applications of Neyman-Pearson Lemma for Testing Simple and Composite Hypotheses, Likelihood Ratio Tests for Parameters of Univariate Normal Distribution.

JAM Chemistry Syllabus 2022

Units	Topics/ Subtopics
Physical Chemistry
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) Gases, Kinetic Theory of Gases, 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, Debey-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.
Organic Chemistry
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	Dozens 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 Inter-Conversions and Structural Problems using Chemical Reactions, 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.
Qualitative Organic Analysis	Identification of Functional Groups by Chemical Tests, Elementary UV, IR and 1H NMR Spectroscopic Techniques as Tools for Structural Elucidation
Natural Products Chemistry	Chemistry of Alkaloids, steroids, Terpenes, Carbohydrates, Amino Acids, Peptides and Nucleic Acids.
Aromatic and Heterocyclic Chemistry	Monocyclic, Bicyclic and Tricyclic Aromatic Hydrocarbons, and Monocyclic Compounds with One Hetero Atom, Synthesis, Reactivity and Properties.
Inorganic Chemistry
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, Homogeneous Catalysis.
Bioinorganic Chemistry	Essentials and Trace Elements of Life, Basic Reactions in 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	Essentials and Trace Elements of Life, Basic Reactions in Biological Systems and the Role of Metal Ions, especially Fe2+, Fe3+, Cu2+ and Zn2+, Structure and Function of Hemoglobin and Myoglobin and Carbonic Anhydrase.
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.

JAM Economics Syllabus 2022

Units	Topics/ Subjects
Macroeconomics	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, investment functions- Keynesian, money demand and supply functions, production function Business Cycles and Economic Models: 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 policy 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 policy 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
Microeconomics	Consumer theory: Preference, utility and representation theorem, budget constraint, choice, demand (ordinary and compensated), Slutsky equations, choice under risk and uncertainty, revealed preference axioms Production, costs with perfectly competitive markets: Technology, isoquants, production with one and more variable inputs, returns to scale, short run and long run costs, cost curves in the short run and long run, perfect competition in markets General equilibrium and welfare: Equilibrium and efficiency under pure exchange and production, welfare economics, theorems of welfare economics Market structure: Monopoly, pricing with market power, price discrimination (first, second and third), monopolistic competition and oligopoly Game theory: Strategic form games, Nash equilibrium, mixed extension and mixed strategy Nash equilibrium, iterated elimination of dominated strategies, examples: Cournot, Bertrand duopolies, Prisoner's dilemma, cooperative game theory: Shapley value, Nash bargaining Public goods and market failure: Externalities, public goods and markets with asymmetric information (adverse selection and moral hazard), VCG mechanism and transfer rules
Indian Economy	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 deficit, 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
Mathematics for Economics	Preliminaries and Functions of one real variable: a. Set theory and number theory, Graphs, elementary types of functions: quadratic, polynomial, power, exponential, logarithmic, sequences and series: convergence, algebraic properties and applications, b. Continuous functions: characterisations, properties with respect to various operations and applications, c. Differentiable functions: characterisations, properties with respect to various operations and applications, d. Second and higher order derivatives: properties and applications Single-variable optimization: Geometric properties of functions: convex functions, their characterisations and applications, local and global optima: geometric and calculus-based characterisations, and applications. Linear algebra: Vector spaces - algebraic and geometric properties, scalar products, norms, orthogonality, linear transformations: properties, matrix representations and elementary operations, systems of linear equations: properties of their solution sets, determinants: characterisation, properties and applications Functions of several real variables: Geometric representations - graphs and level curves, differentiable functions: characterisations, properties with respect to various operations and applications, second order derivatives: properties and applications, the implicit function theorem, and application to comparative statics problems, homogeneous and homothetic functions: characterisations and applications Multivariate optimization: Convex sets, geometric properties of functions: convex functions, their characterisations, properties and applications, further geometric properties of functions: quasi-convex functions, their characterisations, properties and applications, unconstrained optimisation: geometric characterisations, characterisations using calculus and applications, constrained optimisation with equality constraints: geometric characterisations, Lagrange characterisation using calculus and applications, properties of value function: envelope theorem and applications Linear programming: Graphical solution, matrix formulation, duality, economic interpretation Integration, differential equations, and difference equations:- Definite integrals, indefinite integrals and economic applications, first order difference equations, equilibrium and its stability, first order differential equations, phase diagrams and stability
Statistics for Economics	Probability theory, Sample spaces and events, Axioms of probability and their properties, conditional probability and Bayes' rule, independent events Random variables and probability distributions, probability distributions, expected values and functions of random variables, properties of commonly used discrete and continuous distributions Random sampling, Density and distribution functions for jointly distributed random variables, computing expected values of jointly distributed random variables, covariance and correlation coefficients Point and interval estimation, estimation of population parameters using methods of moments and maximum likelihood procedures, properties of estimators, confidence intervals 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

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Best Books for IIT JAM 2022 Preparation

One must always choose the right source of learning for cracking any examination. Students waste a lot of time in collecting study material and deciding which books to pick for preparation. Best books for JAM 2022 preparation manages to find a solution for all these students by listing out certain books which can help them in their preparation. JAM best books for preparation covers all the topics for each test subject. Following are the list of books that a candidate can refer to for JAM 2022 preparation.

Best Books for IIT JAM Mathematics 2022

Subjects	Books	Authors
Mathematics	Mathematical Analysis	S.C Malik
	IIT JAM Mathematics	Neha Tyagi
	Statistics	Murray and Spiegel
	Fundamentals of Real Analysis	V.K. Krishnan
	Abstract Algebra	Bhattacharya, Jain, and Nagpal
	Principle of Mathematical Analysis	Rudi
	Geometry and Vectors	Vasishtha
	Calculus	Thomas and Finny

Best Books for IIT JAM Physics 2022

Subject	Books	Authors
Physics	Mathematical Models for Physics and Engineering	Riley, Hobson, and Bence
	Thermodynamics	Zemanski Dittman, Saha Srivastava/ F.W. Sears, and G.L. Salinger
	Molecular and Atomic Physics	Rajkumar/ White
	Classical Mechanics	Herbert Goldstein
	Classical Mechanics	John. R. Taylor

Best Books for IIT JAM Chemistry 2022

Subject	Books	Authors
Chemistry	Physical Chemistry	Peter Atkins and Julio De Paula
	Surface Chemistry	A.Goel
	Introduction to Surface Chemistry and Catalysis	Gabor A. Somorjai
	An Introduction to Electrochemistry	Samuel Glasstone
	Solid State	Peter A W. Atkins
	Organic Chemistry	Morrison and Boyd

Best Books for IIT JAM Biotechnology 2022

Subject	Books	Authors
Biotechnology	BioInformatics	Mount David W.
	Microbiology	Michael Pelczar Jr.
	Molecular Cloning	Sambrook and Russel
	Basic Immunology	Abbas and Littmann

Best Books for IIT JAM Mathematical Statistics 2022

Subject	Books	Authors
Mathematical Statistics	Complete Resource Manual M.Sc Mathematics	Suraj Singh
	An Introduction to Probability and Statistics	V.K Rohatgi
	Fundamental of Mathematical Statistics	S.C Gupta and V.K Kapoor
	Introduction to Mathematical Statistics	Robert V. Hogg and Craig McKean Hogg
	Vector Calculus	Murray R. Spiegel, A.R Vasishtha
	An Introduction to the theory of Statistics	Mod and Graybill
	Calculus	Thomas and Finny

Best Books for IIT JAM Geology 2022

Subject	Books	Authors
Geology	Ground Water	H.M Ragunath
	Hydrogeology	Todd and Karanth
	Structure Geology	Prof. Haakon Fasten
	A Remote Sensing Geology	R.P Gupta
	Optical Mineralogy	P.K Verma
	Igneous Petrology	M.K Bose

JAM Exam Pattern 2022

IIT JAM 2022 examination will be conducted in the computer-based mode for seven test subjects. I.e, Chemistry, Physics, Mathematics, Mathematical Statistics, Economics, Biotechnology and Geology. The entire question paper will be divided into three sections.i.e, A, B and C.

Section A consists of 30 Multiple Choice Questions (MCQs) involving 10 questions of one mark each and 20 questions of two marks each. Section–B contains a total of 10 Multiple Select Questions (MSQs) carrying two marks each. Section C contains a total of 20 Numerical Answer Type (NAT) questions involving 10 questions of one mark each and 10 questions of two marks each.

According to the exam pattern of JAM 2022, the question paper will consist of 60 questions. The maximum mark of the examination is 100.

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Frequently Asked Question (FAQs) - IIT JAM Syllabus 2022 - Physics, Chemistry, Mathematics, Biotechnology

Question: What are the benefits of checking IIT JAM syllabus?

Answer:

With the help of JAM syllabus 2022, candidates can get to know the important topics and subtopics from where questions will be raised in the entrance test.

Question: What are different test subjects of IIT JAM?

Answer:

There are seven different test subjects in IIT JAM 2022. i.e, Physics, Chemistry, Biotechnology, Geology, Economics, Mathematics and Mathematical Statistics.

Question: What are the important units of IIT JAM Geology?

Answer:

The units which are covered in syllabus of IIT JAM for Geology are The Planet Earth , Structural Geology, Paleontology, Stratigraphy, Mineralogy, Petrology, Economic Geology and Applied Geology.

Question: What are the total number of questions in IIT JAM 2022?

Answer:

A total of 60 questions are asked in JAM 2022 examination.

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Questions related to JAM

Showing 1890 out of 1890 Questions

6 Views

iit jam books to read for mathematical statistics and I have just three months to prepare how can i prepare for it?

Hi,

My answer would be a BIG YES. You can crack IIT JAM in 3 months. If you remember all those stuffs that you studied in 1st and 2nd year then it should even take more less time.

"IIT JAM Success Mantra" that contains all the tips and tricks along with expert advice, book recommendations for various subjects, scopes after exam and complete self preparation guidance.

The most important thing that is needed for IIT JAM MA exam is really good knowledge of the basics.

For maximum of ones month, study the mathematics of +1 and +2. This will give you a strong foundation of really useful formulas.

Next thing you need to do is study Real analysis and Linear Algebra, most of the questions are from these two topics. Don't go for really fancy named books, they're not necessary for IITJAM. Stick to the books that are recommended in your college course, as they're made by keeping in mind about the topics and details that are actually needed .

Next go for functions of one and two variables as the questions from these topics are really easy. I'll suggest the book by Tom Apostol.

Then comes the most scoring topic - Differential Equations. You should be so thorough with this topic so that you can solve all problems without any sweat. Everyone will be able to solve Questions from this topic so you should be sure that you don't lose marks over here. Any book with basic Differential Equation is good.

Vector Calculus and Integration : most average student just leave this topic, as it takes a lot of time to solve. Practice them as much as you can , also visualization of the problem will be the key to solving them. I had studied this topic from the book named Calculus and Analytical Geometry by Thomas and Finney.

Hope this helps.

All the best.

5 Views

vcan l persue msc phy after bsc computer science aftar jam exam in iit

Hello,

MSc Physics through IIT JAM is offered in IITB-Bombay, IITD-Delhi, IITG-Guwahati, IITGN-Gandhinagar, IITH-Hyderabad, IITI-Indore, IITJ-,IITK-Kanpur, IITM-Madras, IITP-Patna, IITR-Roorkie, IITRPR-Rooper, IITISM-Dhanbad

The eligibility criteria to appear for MSc Physics in IIT JAM is mentioned below-

Candidates are required to study Physics and Mathematics for at least two years or four semesters during their graduation period, there is no such subject restrictions at 10+2 level,

If you fulfill the eligibility criteria that is you have studied mathematics and physics for at least 2 years then you can appear for IIT JAM, to know more details regarding this, visit our page at https://university.careers360.com/articles/jam-eligibility-criteria to know more details regarding this.

42 Views

if i go for bsc botany/ zoology, will i be eligible for jam later? syllabus will be of biotech one?

Hello,

When it comes to eligibility criteria of MSc Biotechnology for appearing in IIT JAM, then there is no such restriction of having any specific subject combinations at graduation level, however candidates are required to have studied biology as a subject at 10+2 level which I believe you should definitely have, other this there is requirement of 55% aggregate at graduation level for UR/OBC, in case of reserved categories there is relaxation of 5%, visit our page at https://university.careers360.com/articles/jam-eligibility-criteria to know more details regarding this, you can access the syllabus for biotechnology at https://jam.iisc.ac.in/p/biotechnology-bt-1, you can also go through this year and previous years sample papers at https://jam.iisc.ac.in/ in order to get acquainted with the exam pattern, important topics, marking scheme, through regular practice you can analyze your preparation level, and thereby improve your speed, calculation, and time management skills.

37 Views

i have done graduation in 2021 can i appear in jam 2023

Hi Sachin,

Yes, you will be eligible for appearing in JAM 2023.

Here are some details about JAM 2023 :-

IIT JAM 2023 Important Dates

Availability of the Application form	1st week of September 2022
Last date to submit the online application & uploading documents	1st week of October 2022
Application correction	October- November 2022
Availability of the Admit card	1st week of January 2023
Mock test link	January 2023
Exam Date	2nd week of February 2023
Result Declaration	3rd week of March 2023
Score Card	last week of March 2023
Submission of admission form	2nd week of April 2023
Last Date for receipt of the request for change of category	1st week of May 2023
First admission list released	2nd week of June 2023
Second admission list released	1st week of July 2023
Third & final admission list release	2nd week of July 2023
Closure of Admissions through JAM 2022	3rd week of July 2023

Eligibility Criteria

Both Indian and Foreign Candidates can apply.
Candidates belonging to the General/OBC-NCL Category, have to get at least 55% aggregate marks in the qualifying degree, without rounding off (50% aggregate for candidates who belong to the SC/ST and PwD Category Candidates).
Candidates appearing in the final examination of their qualifying degree are also eligible for this entrance exam.

Eligibility Programme-wise

For M.Sc. – Candidate must have a Bachelor's degree (Geology) and any two subjects among Chemistry, Mathematics, and Biological Science Physics. Also, the candidate must have passed 12 ^th with Math as a mandatory subject.
For M.Sc. in IITB – Candidate must have passed graduation with both Mathematics and Physics for two years and at least one out of these two for three years.
For M.Sc. Biotechnology in IITB and IITR – Candidates must have done graduation degree in any of these (Science, Agriculture, Pharmacy, Veterinary, Engineering, and Medicine) branches.
For M.Sc. Chemistry in IITG, IITK, IITB, IITD, IITM, and IITR – Candidate must have done a graduate degree in chemistry and also candidate must have passed 12 ^th with mathematics.
For M.Sc. Mathematics in IITB, IITD, IITK, and IITM – Candidate must have done graduation with Math as a subject for a minimum of two years or four semesters.
For M.Sc. Physics in IITB, IITD, IITG, IITK, IITM, and IITR) or Joint M.Sc. /Ph.D. (Physics) in IITK – Candidate must have done graduation with Physics for a minimum of two years/ four semesters and also must have done graduation with math for at least one year or two semesters.
For Joint M.Sc. or Ph.D. in Geophysics at IITK – Candidate must have done graduation with any two subjects from Physics, Mathematics and Geology minimum 3 years and 6 semesters.
For M.Sc or Ph.D. (Dual Degree) in IITB – Candidate must be a graduate in any one of these subjects Physics, Chemistry and Maths for a minimum of two years and four semesters.

IIT JAM application form is filled and submitted through online mode. Candidates have to register first by entering their name, valid Email ID, Mobile Number and Password on the website. After successful registration, candidates will receive an email containing their login credentials i.e. the enrollment ID . After login through the generated id, candidates have to fill their personal, qualification & academic other details in the application form. Upload the scanned images (photograph, signature) and SC/ST/PwD certificates (if applicable). The fee can be reemitted through online mode only. Review your form before the final submission. Take a printout of the application form for future references.

IIT JAM Application fee

The application fee can be paid through online mode
The fee payment can be remitted through DR/CR card/Net Banking.
Application fee chart is given below:

Category	Fees Details
Category	One Test Paper	Two Test Papers
Female (All Categories), SC, ST, PwD	Rs. 750/-	Rs. 1050/-
General & OBC	Rs. 1500/-	Rs. 2100/-

Hope this information helps you.

All the best.

Joint Admission Test for M.Sc Programmes (JAM)