Classical Electrodynamics by J. D. Jackson

Course Curriculum

Chapter 1: Review of Maxwell's Equations

Lecture 1: L1.1 Review of Maxwell's equations: electric charge, Coulomb's law

Lecture 2: L1.2 Review of Maxwell's equations: electrostatics, Gauss's law

Lecture 3: L1.3 Review of Maxwell's equations: electrostatics, divergence and curl of E

Lecture 4: L2.1 Review of Maxwell's equations: magnetostatics, Lorentz force

Lecture 5: L2.2 Review of Maxwell's equations: Magnetostatics, the continuity equation

Lecture 6: L2.3 Review of Maxwell's equations: Amperes law, Poisson and Laplace equations

Lecture 7: L3.1 Review of Maxwell's equations: Maxwell's equations in materials

Lecture 8: L3.2 Review of Maxwell's equations: Free and bound charges

Lecture 9: L3.3 Review of Maxwell's equations: Polarization and electric displacement

Lecture 10: L4.1 Review of Maxwell's equations: electric field vs electric displacement

Lecture 11: L4.2 Review of Maxwell's equations: Faraday's law and electromagnetic induction

Lecture 12: L4.3 Review of Maxwell's equations: magnetic field B and H

Lecture 13: L4.4 Review of Maxwell's equations: Maxwell's correction to the Ampere's law

Lecture 14: L4.5 Review of Maxwell's equations: Maxwell's correction to the Ampere's law

Chapter 2: Chapter 01 Introduction to Electrostatics

Lecture 1: L5.1 Electrostatics: Coulomb's law and Dirac delta function

Lecture 2: L5.2 Electrostatics: Coulomb's law and Dirac delta function

Lecture 3: L5.3 Electrostatics: Coulomb's law and Dirac delta function

Lecture 4: L6.1 Electrostatics: Gauss's law and electric potential

Lecture 5: L6.2 Electrostatics: Gauss's law and electric potential

Lecture 6: L6.3 Electrostatics: Gauss's law and electric potential

Lecture 7: L7.1 Electrostatics: Poisson's and Laplace equations

Lecture 8: L7.2 Electrostatics: Poisson's and Laplace equations

Lecture 9: L7.3 Electrostatics: Poisson's and Laplace equations

Lecture 10: L7.4 Electrostatics: Poisson's and Laplace equations

Lecture 11: L8.1 Electrostatics: Green's theorem, Dirichlet and Neumann boundary conditions

Lecture 12: L8.2 Electrostatics: Green's theorem, Dirichlet and Neumann boundary conditions

Lecture 13: L8.3 Electrostatics: Green's theorem, Dirichlet and Neumann boundary conditions

Chapter 3: Chapter 02 Boundary Value Problems in Electrostatics: I

Lecture 1: L9.1 Point charge in the presence of a grounded conducting sphere

Lecture 2: L9.2 Point charge in the presence of a grounded conducting sphere

Lecture 3: L9.3 Point charge in the presence of a grounded conducting sphere

Lecture 4: L10.1 Point charge in the presence of a grounded conducting sphere

Lecture 5: L10.2 Point charge in the presence of a grounded conducting sphere

Lecture 6: L10.3 Point charge in the presence of a grounded conducting sphere

Lecture 7: L10.4 Point charge in the presence of a grounded conducting sphere

Lecture 8: L11.1 Point charge in the presence of a charged, insulated conducting sphere

Lecture 9: L11.2 Point charge in the presence of a charged, insulated conducting sphere

Lecture 10: L11.3 Point charge in the presence of a charged, insulated conducting sphere

Lecture 11: L12.1 Conducting sphere in a uniform electric field

Lecture 12: L12.2 Conducting sphere in a uniform electric field

Lecture 13: L12.3 Conducting sphere in a uniform electric field

Lecture 14: L13.1 Greens function construction from images

Lecture 15: L13.2 Greens function construction from images

Lecture 16: L14.1 Conducting sphere with hemispheres at different potentials

Lecture 17: L14.2 Conducting sphere with hemispheres at different potentials

Lecture 18: L14.3 Conducting sphere with hemispheres at different potentials

Lecture 19: L15.1 Conducting sphere with hemispheres at different potentials

Lecture 20: L15.2 Conducting sphere with hemispheres at different potentials

Lecture 21: L15.3 Conducting sphere with hemispheres at different potentials

Lecture 22: L15.4 Conducting sphere with hemispheres at different potentials

Lecture 23: L16.1 Conducting sphere with hemispheres at different potentials

Lecture 24: L16.2 Conducting sphere with hemispheres at different potentials

Lecture 25: L16.3 Conducting sphere with hemispheres at different potentials

Chapter 4: Chapter 03 Boundary Value Problems in Electrostatics: II

Lecture 1: L17.1 Laplace equation in spherical polar coordinates

Lecture 2: L17.2 Laplace equation in spherical polar coordinates

Lecture 3: L17.3 Laplace equation in spherical polar coordinates

Lecture 4: L17.4 Laplace equation in spherical polar coordinates

Lecture 5: L17.5 Laplace equation in spherical polar coordinates

Lecture 6: L18.1 Laplace equation in spherical polar coordinates

Lecture 7: L18.2 Laplace equation in spherical polar coordinates

Lecture 8: L19.1 Solution to Laplace equation in spherical coords – separation of variables

Lecture 9: L19.2 Solution to Laplace eq. in spherical coords – Legendre differential eq

Lecture 10: L19.3 Solution to Laplace eq. in spherical coords – recursion relation

Lecture 11: L19.4 Solution to Laplace eq in spherical coordinates – Legendre polynomial

Lecture 12: L20.1 Laplace eq. in spherical coordinates – properties of Legendre polynomials

Lecture 13: L20.2 Laplace eq. in spherical coordinates – properties of Legendre polynomials

Lecture 14: L21.1 Laplace eq. in spherical coordinates – properties of Legendre polynomials

Lecture 15: L21.2 Laplace eq. in spherical coordinates – properties of Legendre polynomials

Lecture 16: L22.1 Laplace equation with azimuthal symmetry

Lecture 17: L22.2 Laplace equation with azimuthal symmetry

Lecture 18: L23.1 Laplace equation with azimuthal symmetry

Lecture 19: L23.2 Laplace equation with azimuthal symmetry

Lecture 20: L24.1 Laplace equation with azimuthal symmetry: example

Lecture 21: L24.2 Associated Legendre equation / function

Lecture 22: L25.1 Orthogonality of associated Legendre equation

Lecture 23: L25.2 Orthogonality of associated Legendre equation