The IIT JAM (Indian Institutes of Technology Joint Admission Test for M.Sc.) Mathematics (MA) exam is a gateway for students aspiring to pursue postgraduate studies in Mathematics (MA) -related fields from renowned institutes. To succeed in this competitive exam, it’s crucial to have a clear understanding of the syllabus and to strategically plan your preparation. In this article, we’ll provide you with a detailed breakdown of the IIT JAM Mathematics (MA) 2024 syllabus, helping you prepare effectively for the exam.
IIT JAM Physics (PH) Syllabus
The IIT JAM Physics (PH) Syllabus for serves as a pivotal component of your preparation. It functions as a roadmap, guiding you through the topics and subjects that will be assessed in the examination. This meticulously curated syllabus is designed to evaluate your understanding and knowledge of fundamental concepts in physics. Let’s break it down into its key components:
IIT JAM Physics Syllabus 2024
|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.|
|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.|
|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. 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.|
|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 the 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 the atomic nucleus, mass, and binding energy. Radioactivity and its applications. Laws of radioactive decay.|
|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; a combination of gates; de Morgan’s theorem.|
IIT JAM Physics Exam Pattern
The examination pattern is mentioned below:
|Sections||Type of questions||Number of questions||Total marks|
|Section A||Multiple Choice Questions (MCQs)||30||10 x 1 20 x 2= 50 marks|
|Section B||Multiple Select Questions (MSQs)||10||10 x 2= 20 marks|
|Section C||Numerical Answer Type||20||10 x 1 10 x 2= 30 marks|
- It is a computer-based online examination.
- The duration of the exam is 3 hours (180 minutes).
- The paper is divided into three sections – A, B, and C.
- The total number of questions is 60.
- Section A consists of 30 questions, section B will have 10 questions, and section C contains 20 questions.
- The total marks for the exam are 100.
- Negative marking is applicable for section A, 1/3 mark will be deducted for each incorrect 1-mark and 2/3 mark for 2-mark questions.
- No negative marking is done in sections B and C.
While it’s advisable to cover all topics, focusing on your strengths and areas of interest can also be effective. Ensure you have a strong foundation in the core subjects.
Practice is key. Solve a wide range of numerical problems, and make sure your calculations are accurate. Consider enrolling in a coaching program if you need extra guidance.
Yes, there are several good books available. Some popular choices include “Introduction to Electrodynamics” by David J. Griffiths and “Modern Physics” by Arthur Beiser.
Allocate a specific amount of time to each section based on your strengths and weaknesses. Don’t spend too much time on any one question, and revisit challenging ones after completing the easier ones.
Follow reputable physics journals, attend seminars, and engage with the scientific community online. Staying current with the latest research can enhance your understanding of physics concepts.