Syllabus

Module 1: (6 hours)
Vector Analysis: Vector Algebra, Differential Calculus, Integral Calculus, Curvilinear Coordinates, The Dirac Delta Function.

Module 2: (8 hours)
Electrostatics: Electric Field, Divergence and Curl of Electrostatic Fields, Electric Potential, Work and Energy in Electrostatics, Conductors.

Module 3: (8 hours)
Potentials: Laplace’s Equation, The Method of Images, Separation of Variables, Multipole Expansion.

Module 4: (8 hours)
Magnetostatics: The Lorentz Force Law, The Biot-Savart Law, The Divergence and Curl of B, Magnetic Vector Potential.

Module 5: (6 hours)
Electrodynamics: Electromotive Force, Electromagnetic Induction, Electric and Magnetic Fields in Matter, Maxwell’s Equations.

1. To learn the basic mathematical tools required for the understanding of this course.

2. Electric field due to a charged body and calculating its electric potential, work done, etc.

3. Laplace equation and method of images, to calculate potential and its higher order terms.

4. Magnetic field due to steady current flow and its vector potential.

5. Electric and magnetic field inside matter and corresponding Maxwell’s equation.

At the end of the course, students will be able to:
CO1: Learn the basic mathematical tools required for this course.

CO2: Find the electric field and its curl and divergence due to charged objects.

CO3: Calculate the potential due to a charged object and its multipole expansion.

CO4: Find the magnetic field and its curl and divergence due to steady current flow.

CO5: Calculate electric field, magnetic field, and Maxwell’s equation for vacuum and matter.

D. J. Griffiths, Introduction to electrodynamics, Prentice Hall , 4th Edition (2025).

E. M. Purcell and D.J. Morin, Electricity and Magnetism, Cambridge University Press , 2013

W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism, Dover Publications , 2nd Edition (2005)

John David Jackson, Classical Electrodynamics, Wiley and sons Ltd. , 3rd Edition