IIT JAM Syllabus 2016

IIT JAM Syllabus

IIT JAM aspirants are searching for wisely formatted syllabus for their respective subjects. Syllabus plays a crucial role in your success story to crack any exam, be it IIT JAM or UGC NET or bank exams. If you prepare according to the syllabus then there are greater chances to crack that exam.

Now with my first blog here, I would like to share IIT JAM syllabus for all subjects of IIT JAM Exam 2016.

Joint Admission test is conducted for following subjects:

Physics
Chemistry
Mathematics
Mathematical statistics
Biotechnology
Biological science
Geology
Geophysics

You can follow this official link for IIT JAM syllabus 2016.

Click here for syllabus

What is IIT JAM Exam?

The JAM is an admission test to M.Sc. and other post-B.Sc. programs like MCA at the IITs and IISC, Bangalore.
IITs & IISc Bangalore offers various post B.Sc. programs in Masters and Integrated Ph.D. which are as follows:

M.Sc.

M.Sc-Ph.D Dual Degree

Four-Year Dual Degree Programs

Integrated Ph.D. Programs

M.Sc. /M.S. (Research)/Ph.D. Dual Programs

Joint M.Sc.-Ph.D Programs.

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IIT JAM Physics Syllabus

1. Mechanics and General Properties of Matter
Newton’s laws of motion and applications
Velocity and acceleration in Cartesian
Polar and cylindrical coordinate systems
Uniformly rotating frame
Centrifugal and Coriolis forces
Motion under a central force
Kepler’s laws
Gravitational Law and field
Conservative and non-conservative forces
System of particles
Center of mass
Equation of motion of the CM
Conservation of linear and angular momentum
Conservation of energy
Variable mass systems
Elastic and inelastic collisions
Rigid body motion
Fixed axis rotations
Rotation and translation
Moments of Inertia and products of Inertia
Parallel and perpendicular axes theorem
Principal moments and axes
Kinematics of moving fluids
Equation of continuity
Euler’s equation
Bernoulli’s theorem.
2. Mathematical Methods
Calculus of single and multiple variables
Partial derivatives
Jacobian
Imperfect and perfect differentials
Taylor Expansion
Fourier series
Vector algebra
Vector Calculus
Multiple integrals
Divergence theorem
Green’s theorem
Stokes’ theorem
First order equations and linear second order differential equations with constant coefficients
Matrices and determinants
Algebra of complex numbers.
3. Oscillations, Waves and Optics
Differential equation for simple harmonic oscillator and its general solution
Superposition of two or more simple harmonic oscillators
Lissajous figures
Damped and forced oscillators, resonance
Wave equation, traveling and standing waves in one dimension
Energy density and energy transmission in waves
Group velocity and phase velocity
Sound waves in media
Doppler Effect
Fermat’s Principle
General theory of image formation
Thick lens
Thin lens and lens combinations
Interference of light
Optical path retardation
Fraunhofer diffraction
Rayleigh criterion and resolving power
Diffraction gratings.
4. Kinetic theory, Thermodynamics
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.
5. Polarization
Linear
Circular and elliptic polarization
Double refraction and optical rotation
Electricity and Magnetism: Coulomb’s law, Gauss’s law
Electric field and potential
Electrostatic boundary conditions
Solution of Laplace’s equation for simple cases
Conductors
Capacitors
Dielectrics
Dielectric polarization
Volume and surface charges
Electrostatic energy
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
Displacement current
Maxwell’s equations and plane electromagnetic waves
Poynting’s theorem
Reflection and refraction at a dielectric interface
Transmission and reflection coefficients (normal incidence only)
Lorentz Force and motion of charged particles in electric and magnetic fields.
6. Modern Physics
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.
7. Solid State Physics, Devices and Electronics
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; combination of gates; de Morgan’s theorem.

IIT JAM Chemistry Syllabus

Functions
Maxima and Minima
Integrals
Ordinary differential equations
Vectors and matrices
Determinants
Elementary statistics and probability theory
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 homo-nuclear diatomic molecules
Equation of state of ideal and non-ideal (van der Waals) gases
Kinetic theory of gases
Maxwell-Boltzmann distribution law
Equipartition of energy.
Crystals
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 non-ideal 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
Theory of absolute reaction rate
Chain reactions – Normal and branched chain reactions
Enzyme kinetics
Photochemical processes
Catalysis
Adsorption
Gibbs adsorption equation
Adsorption isotherm
Types of adsorption
Surface area of adsorbents
Surface films on liquids
Basic Concepts in Organic Chemistry and Stereochemistry
Electronic effect and steric effects and its applications (acid/base property)
Optical isomerism in compounds without any stereo centers
Conformation of acyclic systems and cyclic systems
Organic Reaction Mechanism and Synthetic Applications
Chemistry reactive intermediates
Arbine
Nitrene
Benzyne
Hofmann-Curtius-Lossen rearrangement
Wolf rearrangement
Simmons-Smith reaction
Reimer-Tiemann reaction
Michael reaction
Darzens reaction
Witting reaction
McMurry reaction
Pinacol-pinacolone
Favorskii
Benzilic acid rearrangement
Ienonc-phenol rearrangement
Bayer-Villeger reaction
Oxidation and reduction reactions in organic chemistry
Organometallic reagents in organic synthesis (Grignard and organocopper)
Diels-Alder reaction
Sigmatropic reactions
Qualitative Organic Analysis
Functional group interconversions
Structural problems using chemical reactions
Identification of functional groups by chemical tests
Elementary 1H NMR and IR spectroscopy as a tool for structural elucidation
Natural Products Chemistry
Introductory chemistry of alkaloids
Terpenes
Carbohydrates
Amino acids
Peptides and nucleic acids
Heterocyclic Chemistry
Monocyclic compounds with one hetero atom
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
Chemistry with emphasis on group relationship and gradation in properties
Structure of electron deficient compounds of main group elements and application of main group elements
Transition Metals (d block)
Characteristics of 3d elements
Oxide
Hydroxide and salts of first row metals
Coordination complexes
VB and Crystal Field theoretical approaches for structure
Color and magnetic properties of metal complexes
Organometallic compounds
Metal carnonyls
Nitrosyls and metallocenes
Ligands with back bonding capabilities
MO theory approaches to explain bonding in metal- carbonyl, metal-nitrosyl and metalphosphine complexes
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+, function of hemoglobin and myoglobin
Instrumentations and simple applications of conductometry
Potentiometry
UV-vis spectrophotometry
Analysis of water
Air and soil samples
Principles of qualitative and quantitative analysis
Acid-base
Oxidation-reduction and EDTA and precipitation reactions
Use of indicators
Use of organic reagents in inorganic analysis
Radioactivity
Nuclear reactions
Applications of isotopes.

IIT JAM Mathematics Syllabus

Sequences and Series of Real Numbers
Convergent and divergent sequences
Bounded and monotone sequences
Convergence criteria for sequences of real numbers
Cauchy sequences
Absolute and conditional convergence
Tests of convergence for series of positive terms – comparison test
Ratio test
Root test
Leibnitz test for convergence of alternating series
Limit
Continuity
Differentiation
Rolle’s Theorem
Mean value theorem
Taylor’s theorem
Maxima and minima
Partial Derivatives
Differentiability
Maxima and minima
Method of Lagrange multipliers
Homogeneous functions including Euler’s theorem
Integration as the inverse process of differentiation
Definite integrals and their properties
Fundamental theorem of integral calculus
Double and triple integrals
Change of order of integration
Calculating surface areas and volumes using double integrals and applications
Calculating volumes using triple integrals and applications
Ordinary differential equations of the first order of the form y’=f(x,y)
Bernoulli’s equation
Exact differential equations
Integrating factor
Orthogonal trajectories
Homogeneous differential equations-separable solutions
Linear differential equations of second and higher order with constant coefficients
Method of variation of parameters
Cauchy-Euler equation
Vector Calculus
Scalar and vector fields
Gradient
Divergence
Curl and Laplacian
Scalar line integrals and vector line integrals
Scalar surface integrals and vector surface integrals
Green’s
Stokes and Gauss theorems and their applications
Groups
Subgroups
Abelian groups
Non-abelian groups
Cyclic groups
Permutation groups
Normal subgroups
Lagrange’s Theorem for finite groups
Group homomorphism’s and basic concepts of quotient groups (only group theory)
Vector spaces
Linear dependence of vectors
Basis
Dimension
Linear transformations
Matrix representation with respect to an ordered basis
Range space and null space
Rank-nullity theorem
Rank and inverse of a matrix
Determinant
Solutions of systems of linear equations
Consistency conditions
Eigenvalues and eigenvectors
Cayley-Hamilton theorem
Symmetric
Skew-symmetric
Hermitian
Skew-hermitian
Orthogonal and unitary matrices
Real Analysis: Interior points
Limit points
Open sets
Closed sets
Bounded sets
Connected sets
Compact sets
Completeness of R
Power series (of real variable) including Taylor’s and Maclaurin’s
Domain of convergence
Term-wise differentiation and integration of power series.

IIT JAM Mathematical Statistics Syllabus

Convergence of sequences of real numbers
Comparison
Root and ratio tests for convergence of series of real numbers
Limits
Continuity and differentiability of functions of one and two variables
Rolle’s Theorem
Mean value theorems
Taylor’s theorem
Indeterminate forms
Maxima and minima of functions of one and two variables
Fundamental theorems of integral calculus
Double and triple integrals
Applications of definite integrals
Arc lengths
Areas and volumes
Rank
Inverse of a matrix
Systems of linear equations
Linear transformations
Eigenvalues and eigenvectors
Cayley-Hamilton theorem
Symmetric
Skew-symmetric and orthogonal matrices
Ordinary differential equations of the first order of the form y’ = f(x,y)
Linear differential equations of the second order with constant coefficients Statistics
Axiomatic definition of probability and properties
Conditional probability
Multiplication rule
Theorem of total probability
Bayes’ theorem and independence of events
Probability mass function
Probability density function and cumulative distribution functions
Distribution of a function of a random variable
Mathematical expectation
Moments and moment generating function
Chebyshev’s inequality
Binomial
Negative binomial
Geometric
Poisson
Hypergeometric
Uniform
Exponential
Gamma
Beta and normal distributions
Poisson and normal approximations of a binomial distribution
Joint, marginal and conditional distributions
Distribution of functions of random variables
Product moments
Correlation
Simple linear regression
Independence of random variables
Chi-square, t and F distributions, and their properties.
Limit Theorems: Weak law of large numbers.
Central limit theorem
Estimation: Unbiasedness
Consistency and efficiency of estimators
Method of moments and method of maximum likelihood
Sufficiency, Factorization theorem
Completeness
RaoBlackwell and Lehmann- Scheffe theorems
Uniformly minimum variance unbiased estimators
Rao-Cramer inequality
Confidence intervals for the parameters of univariate normal, two independent normal, and one parameter exponential distributions
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.

IIT JAM Biotechnology Syllabus

1. Biology (10+2+3)
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 micro-organisms
2. Chemistry (10+2+3)
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
Chemical kinetics
Photochemistry
Electrochemistry
Acid-base concepts
Stereochemistry of carbon compounds
Inductive
Electrometric
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.
3. Mathematics (10+2)
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.
4. Physics (10+2)
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
Oscillation
Waves.

IIT JAM Biological Science Syllabus

Taxonomy and physiology
Pro-and eukaryotic organisms
Cell organelles and their function
Multicellular organization
Energy transformations
Internal transport systems of plants
Respiration
Regulation of body fluids and excretory mechanisms
Cellular reproduction
Mendelian genetics and heredity
Biology and populations and communities
Evolution
Genesis and diversity of organisms
Animal behavior, plant and animal diseases
Basics of Biochemistry
Biophysics
Molecular Biology
Buffers
Trace elements in biological systems
Enzymes and proteins
Vitamins
Biological oxidations
Carbohydrates and lipids and their metabolisms
Digestion and absorption
Detoxifying mechanisms
Plant and animal hormones and their action
Nervous system
Nucleic acids
Nature of gene and its function
Genetic code
Synthesis of nucleic acids and proteins
Enzyme mechanisms and kinetics
Nucleic acid metabolism
Photo synthesis
Structure of biomolecules
Intra and intermolecular forces
Thermodynamics and kinetics of biological systems
Principles of x-ray diffraction
IR and UV spectroscopy and hydrodynamic techniques
Microbiology
Cell Biology and Immunology
Classes of microorganisms and their characterization
Nutrient requirement for growth
Laboratory techniques in microbiology
Pathogenic microorganisms and disease
Applied microbiology
Viruses
Microbial genetics
Innate and adaptive immunity
Antigen antibodies
Cell theory
Cell architecture
Methods of cell fractionation
Cell division
Types of chromosome structure
Biochemical genetics- inborn errors of metabolisms
Viruses and fungi
Principles of processes of development
Mathematical Sciences
Mathematical functions (algebraic, exponential, and trigonometric)
Their derivatives (derivatives and integrals of simple functions)
Permutations and combinations.

IIT JAM Geology Syllabus

IIT JAM 2016 Geology Syllabus
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; Energy in the earth system; 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, foliation and lineation, unconformities; shear zones.
Palaeontology : Major steps in the evolution of life forms; Fossils; 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 verterbrate 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.