Spring 2022, Jacobus Verbaarschot

Lecture 1, 1-24-2022

Introduction, Coulomb Law

Lecture 2, 1-26-2022

Electric Field, Potential, Gauss Law

Lecture 3, 1-28-2022

Poisson Equation, Expansion in Spherical Harmonics

Lecture 4, 1-31-2022

Solution of Laplace Equation in Spherical Coordinates, Spherical Harmonics

Lecture 5, 2-2-2022

Charge above Conducting Surface Using Spherical Harmonic

Lecture 6, 2-4-2022

Uniqueness theorem, General properties of Spherical harmonics.

Lecture 7, 2-7-2022

Image Charges, Dipole Moment, Electrostatics of Conoductors

Lecture 8, 2-9-2022

Uniqueness Theorem, Green's Function with
Application

Lecture 9, 2-11-2022

Energy of Electric Field, Stress Tensor, Example

Lecture 10, 2-14-2022

Energy of Charges, Electrostatics in Matter, Boundary Conditions

Lecture 11, 2-16-2022

Electrostatic Energy in Matter, Dielectric Tensor, Currents

Lecture 12, 2-18-2022

Magnetic Fields, Lorentz Force, Newton's 3rd Law, Pseudo Vector, Amp\`ere's Law

Lecture 13, 2-21-2022

Gauge Potential, Multipole Expansion, Magnetic Moment

Lecture 14, 2-23-2022

Magnetic Dipole Field

Lecture 15, 2-25-2022

Magnetice Fields in Matter, Magnetic Fields of Permanent Magnet, Paramagnetism, Diamagnetism

Lecture 16, 2-28-2022

Magnetic Flux, Electromotive Force

Lecture 17, 3-2-2022

Faraday's Law for arbitrary contour

Lecture 18, 3-4-2022

Consistency of Maxwell Equations, Displacement Current

Lecture 19, 3-7-2022

Energy and Momentum Tensor of Magnetic Fields

Lecture 20, 3-9-2022

Forces on Charges and Currents, Momentum Density, Angulare Momentum Desnity
Lecture 21, 3-11-2022

Maxwell Equatinos in Vacuum, Wave Solutions, Plane Waves

**Spring Break:** March 14-18

Lecture 22, 3-21-2022

Time Dependent Maxwel Equations in Matter

Lecture 23, 3-23-2022

Free Fields in Isotropic Media, Boundary Conditions

Lecture 24, 3-25-2022
** Midterm **

Lecture 25, 3-28-2022

Infinite Slab

Lecture 26, 3-30-2022

Oblique Reflection

Lecture 27, 4-1-2022

Vwector Potential, Coulomb Gauge, Lorentz Gauge

Lecture 28, 4-4-2022

Green's Function

Lecture 29, 4-6-2022
Cauchy's Theorem

Lecture 30, 4-8-2022

Green's Function in Coordinate Space

Lecture 31, 4-10-2022

Radiation of Harmonic Source, Green's Function, Retarded Fields

Lecture 32, 4-13-2022

Radiation Fields, Electric Dipole Radiation

Lecture 33, 4-15-2022

Magnetic Dipole Radiation, Electric Quadrupole Radiation

Lecture 34, 4-18-2022

Radiation by slowly moving Charges

Lecture 35, 4-20-2022

Larmor Formula

Lecture 36, 4-22-2022 (by Derek Teaney)

Relativity
Lecture 37, 4-25-2022 (by Derek Teaney)

4 vectors, Lorentz Group

Lecture 38, 4-27-2022

Lie algebra of the Lorentz Group

Lecture 39, 4-29-2022

Relativistic Kinematics

Lecture 40, 5-2-2022

Lagrangian, Lagrange Equations of Motion

Lecture 41, 5-4-2022

Lagrangian of EM field, Lorentz Force

Lecture 42, 4-6-2022

Lagrangian of EM field, EM field tensor

Final Exam, Wednesday, 5-18-2021, 8-10.45 am