JEST 2020 Syllabus

Exam Date : February 16, 2020
Result Date : March 11, 2020

JEST 2020 Exam Syllabus

The JEST Exam is a national level entrance examination conducted by the Science and Engineering Research Board (SERB) to issue admissions to various Ph.D. and Integrated Ph.D. Courses. The conducting authority decided the JEST Syllabus for JEST 2020. The candidates are advised to go through the syllabus keenly before preparing for JEST 2020.

Mathematical Methods:

  • Elements of probability theory
  • Curvilinear coordinate systems
  • Vector algebra
  • Vector calculus
  • Tensors
  • Linear algebra
  • Elements of Sturm–Liouville theory
  • Special functions, Complex analysis
  • Fourier series
  • Fourier transform
  • Linear differential equations
  • Laplace transforms
  • Elementary properties of discrete groups
  • Error analysis.

Classical Mechanics:

  • Symmetry and conservation laws
  • Newton’s laws
  • Generalized coordinates
  • Conservation of energy and momentum
  • Collisions
  • The principle of least action
  • Lagrangian and Hamiltonian formulations of mechanics
  • Small oscillations and normal modes
  • Central force problem
  • Kepler problem
  • Special relativity in classical mechanics.

Electromagnetism and Optics:

  • Polarization
  • Electrostatics and magnetostatics
  • Multipole expansion
  • Fields in conducting
  • Boundary value problems
  • Dielectric
  • Faraday’s law and time-varying fields
  • Diamagnetic and paramagnetic media
  • Displacement current
  • Maxwell’s equations
  • Energy and momentum of electromagnetic fields
  • Reflection, refraction
  • Propagation of plane electromagnetic waves
  • Electromagnetic waves in dispersive and conducting media
  • Diffraction
  • Interference

Quantum Mechanics:

  • The variational principle
  • Schrodinger equation
  • The uncertainty principle
  • Central potentials
  • The hydrogen atom
  • Orbital and spin angular moments
  • The addition of angular moments
  • Hermitian operators
  • Matrix formulation of quantum theory
  • Unitary transformations
  • Time-independent perturbation theory
  • Time-dependent perturbation theory.

Thermodynamics & Statistical Physics:

  • Elements of kinetic theory
  • Work and heat
  • Thermodynamic potentials
  • Laws of thermodynamics
  • Statistical ensembles
  • Maxwell’s relations
  • Partition function
  • Harmonic oscillators
  • Classical and quantum statistics
  • Classical ideal gas
  • Fermi and Bose gases
  • Black body radiation
  • Statistics of paramagnetism.

Electronics:

  • Basics of semiconductor
  • p-n junctions
  • Diodes
  • Active filters and oscillators
  • Transistors
  • LCR circuits
  • Rectifiers
  • Amplifiers
  • Basics of OPAMPs and their applications
  • Basics of digital electronics

Note: The candidates are expected to go through the syllabus more than once, to prepare for the JEST #year Examination.

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