JEST Syllabus 2025, Download Subject Wise Syllabus PDF

JEST Syllabus 2025: The Indian Institute of Space Science and Technology (IIST) has released the JEST Syllabus 2025, which outlines the subjects and topics that candidates need to prepare for the upcoming exam. The JEST exam is a key step for those seeking admission to PhD programs in fields like Physics, Mathematics, and Theoretical Computer Science. The syllabus includes essential topics in these subjects, designed to test candidates' knowledge and problem-solving skills. It is important for aspirants to thoroughly review the syllabus to align their preparation with the exam requirements. Candidates can check here for the JEST Syllabus 2025.

JEST Syllabus 2025 Overview

Join IIT JAM Online Coaching – Enroll Now!

JEST Syllabus 2025 PDF

JEST Syllabus 2025 Download PDF

JEST Syllabus 2025 for Mathematical Methods

• Vector Algebra and Vector Calculus : Study of vector operations, integration, and differentiation in vector fields.
• Tensors : Understanding tensor analysis and their applications in various mathematical problems.
• Curvilinear Coordinate Systems : Study of coordinate systems that are not based on straight lines (e.g., spherical, cylindrical coordinates).
• Linear Algebra : Topics such as matrices, determinants, eigenvalues, eigenvectors, and vector spaces.
• Linear Differential Equations : Solutions and methods for solving ordinary differential equations, focusing on linear cases.
• Sturm–Liouville Theory : A key theory in solving linear differential equations with boundary conditions.
• Special Functions : Study of mathematical functions that have specific applications in physics and engineering, such as Legendre polynomials and Bessel functions.
• Complex Analysis : Analysis of functions of complex variables, including integration and differentiation in the complex plane.
• Fourier Series and Fourier Transforms : Techniques for representing functions as sums or integrals of sine and cosine functions.
• Laplace Transforms : A method used to transform complex differential equations into algebraic equations for easier solving.
• Discrete Groups : Basic properties of finite sets with group operations, commonly used in symmetry analysis.
• Probability Theory : Introduction to concepts like random variables, probability distributions, and statistical analysis.
• Error Analysis : Study of numerical errors and approximation methods in mathematical calculations.

JEST Syllabus 2025 for Classical Mechanics

• Newton’s Laws of Motion : Understanding the fundamental principles governing the motion of bodies.
• Work and Energy : Study of concepts like kinetic energy, potential energy, and the work-energy theorem.
• Lagrangian Mechanics : Introduction to the Lagrange equation, generalized coordinates, and conservation laws.
• Hamiltonian Mechanics : Study of Hamiltonian equations, phase space, and canonical transformations.
• Central Force Motion : Analysis of motion under central forces, including Kepler’s laws and orbital mechanics.
• Rigid Body Motion : Understanding the motion of solid bodies, angular momentum, and moments of inertia.
• Small Oscillations : Study of systems that exhibit oscillatory motion, such as pendulums and springs.
• Elasticity : Basic principles of stress, strain, and deformation in materials.
• Non-inertial Frames : Study of fictitious forces and effects of rotating and accelerating reference frames.
• Collisions : Analysis of elastic and inelastic collisions, conservation of momentum, and energy.

JEST Syllabus 2025 for Electromagnetism & Optics

• Electrostatics and Magnetostatics : Study of electric and magnetic fields, Coulomb’s law, Gauss's law, and Ampère's law.
• Boundary Value Problems : Solving problems related to electric and magnetic fields in specific configurations and boundaries.
• Multipole Expansion : Mathematical method to express the potential of a charge distribution.
• Fields in Different Media : Analysis of fields in conducting, dielectric, diamagnetic, and paramagnetic materials.
• Faraday’s Law and Time-Varying Fields : Understanding electromagnetic induction and the effects of changing fields over time.
• Displacement Current : Concept related to the time-varying electric field in Maxwell’s equations.
• Maxwell’s Equations : Fundamental set of equations governing electric and magnetic fields and their interactions.
• Energy and Momentum of Electromagnetic Fields : Study of the energy and momentum stored in electromagnetic fields.
• Propagation of Plane Electromagnetic Waves : Principles of wave propagation in free space, including wave speed, wavelength, and frequency.
• Reflection and Refraction : Behavior of light and electromagnetic waves at interfaces between different media.
• Electromagnetic Waves in Dispersive and Conducting Media : Understanding wave propagation in materials with varying refractive index and conductive properties.
• Diffraction : Study of wave behavior when passing through apertures or around obstacles.
• Interference : Analysis of the superposition of waves, resulting in constructive or destructive patterns.
• Polarization : Study of the orientation of oscillations in electromagnetic waves, especially light.

JEST Syllabus 2025 for Quantum Mechanics

• Uncertainty Principle : Understanding Heisenberg's uncertainty principle and its implications on measurement and wave-particle duality.
• Schrodinger Equation : The foundational equation governing the behavior of quantum systems, including time-dependent and time-independent forms.
• Central Potentials & Hydrogen Atom : Study of quantum systems under central forces, with a focus on the hydrogen atom and its energy levels.
• Orbital and Spin Angular Momenta : Understanding angular momentum in quantum mechanics, including orbital and spin angular momenta, and their quantization.
• Addition of Angular Momenta : Methods to combine multiple angular momenta in quantum systems, such as total angular momentum.
• Matrix Formulation of Quantum Theory : Use of matrices in representing quantum states and observables, including the formalism of operators.
• Unitary Transformations : Study of unitary operations that preserve the inner product and their role in quantum mechanics.
• Hermitian Operators : Focus on operators with real eigenvalues, which correspond to observable physical quantities in quantum mechanics.
• Variational Principle : A method to approximate the ground state energy of a system by optimizing a trial wave function.
• Time-Independent Perturbation Theory : Techniques for dealing with small perturbations in systems with known solutions.
• Time-Dependent Perturbation Theory : Methods to study quantum systems under time-dependent influences, particularly for transition probabilities.

JEST Syllabus 2025 for Thermodynamics & Statistical Physics

• Laws of Thermodynamics : Study of the fundamental principles governing energy, heat, and work in thermodynamic systems.

• Thermodynamic Potentials : Understanding different potentials like internal energy, Helmholtz free energy, Gibbs free energy, and their applications.
• Maxwell Relations : Relations derived from thermodynamic potentials that provide insights into the thermodynamic properties of systems.
• Ensemble Theory : Introduction to statistical ensembles such as microcanonical, canonical, and grand canonical ensembles, and their applications to macroscopic thermodynamic properties.
• Statistical Mechanics : Basics of statistical methods used to derive thermodynamic properties from microscopic systems, including Boltzmann statistics, Fermi-Dirac statistics, and Bose-Einstein statistics.
• Partition Function : A key concept in statistical physics that links microscopic properties of particles to macroscopic observables like energy, pressure, and temperature.
• Entropy & Information Theory : The concept of entropy in thermodynamics and its relationship to information theory, including the study of disorder in a system.
• Phase Transitions : Understanding the nature of phase changes (e.g., liquid-gas transition), critical phenomena, and critical exponents.
• Applications of Thermodynamics : Practical applications in various fields, including engines, refrigerators, and systems in equilibrium.
• Fluctuations and Response Theory : Study of fluctuations in macroscopic systems and their response to external forces.

JEST Syllabus 2025 for Electronics

• Basics of Semiconductors : Understanding the properties of semiconductor materials like silicon and germanium, and their role in electronic devices.
• P-N Junctions, Diodes, and Transistors : Study of p-n junctions, their characteristics, and applications in diodes and transistors.
• LCR Circuits : Analysis of circuits containing inductors (L), capacitors (C), and resistors (R), including their frequency response and resonance behavior.
• Rectifiers : Study of circuits that convert AC to DC, such as half-wave, full-wave, and bridge rectifiers.
• Amplifiers : Understanding the operation and design of electronic amplifiers, including their frequency response and gain.
• Active Filters and Oscillators : Study of filters (low-pass, high-pass, etc.) and their applications, as well as the principles behind oscillator circuits for generating periodic signals.
• OPAMPs (Operational Amplifiers) : Basics of OPAMPs, their characteristics, and common applications in circuits like amplifiers, filters, and comparators.
• Basics of Digital Electronics : Introduction to logic gates, flip-flops, multiplexers, and other digital components used in building digital circuits.

JEST Exam Pattern 2025

Join PW IIT JAM Online Coaching – Enroll Now!