**JEST SYLLABUS PHYSICS**

**Mathematical Methods:**

Vector algebra and vector calculus, tensors, curvilinear coordinate
systems, linear algebra;
Linear differential equations, elements of Sturm–Liouville theory;
Special functions; Complex analysis; Fourier series and Fourier transforms,
Laplace transforms;
Elementary properties of discrete groups; Elements of probability theory,
error analysis.

**Classical Mechanics:**

Newton’s laws, conservation of energy and momentum, collisions;
generalized coordinates, principle of least action,
Lagrangian and Hamiltonian formulations of mechanics;
Symmetry and conservation laws; central force problem, Kepler problem;
Small oscillations and normal modes; special relativity in classical
mechanics.

**Electromagnetism & Optics:**

Electrostatics and magnetostatics, boundary value problems, multipole
expansion;
Fields in conducting, dielectric, diamagnetic and paramagnetic media;
Faraday’s law and time varying fields; displacement current;
Maxwell’s equations; energy and momentum of electromagnetic fields;
Propagation of plane electromagnetic waves, reflection, refraction;
Electromagnetic waves in dispersive and conducting media;
diffraction, interference, polarization.

**Quantum Mechanics:**

Uncertainty principle; Schrodinger equation; central potentials, hydrogen
atom;
Orbital and spin angular momenta, addition of angular momenta;
Matrix formulation of quantum theory, unitary transformations, Hermitian
operators;
Variational principle, time independent perturbation theory, time dependent
perturbation theory.

**Thermodynamics & Statistical Physics:**

Laws of thermodynamics, work and heat, thermodynamic potentials;
Elements of kinetic theory; Maxwell’s relations;
Statistical ensembles; partition function; classical ideal gas, harmonic
oscillators;
Classical and quantum statistics; Fermi and Bose gases;
black body radiation; statistics of paramagnetism.

**Electronics:**

Basics of semiconductor; p-n junctions, diodes, transistors;
LCR circuits, rectifiers, amplifiers, active filters and oscillators;
basics of OPAMPs and their applications; basics of digital electronics.

"Try not to become a man of success, but rather to become a man of value" -Albert Einstein.

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