| Lec # | Topics | Readings |
|---|---|---|
| 1 | Introduction to Fields Vectors, Index Notation, Basic Vector Operations | Griffiths: "Advertisement" and Section 1.1 |
| 2 | Review of Vector Calculus Potential Fields, Stokes and Divergence Theorems, Curvilinear Coordinates | Griffiths: Sections 1.2, 1.3, 1.4, 1.6 Primer on Index Notation (PDF) |
| 3 | Vector Calculus in Spherical Coordinates, Volume and Area Elements, Dirac Delta Function | Griffiths: Section 1.5 |
| 4 | Delta Function in Three Dimensions and in Curvilinear Coordinates, Laplacian of 1/r | Griffiths: Section 1.6 Delta Function for a Double Root (Corrected Version) (PDF) |
| 5 | Electric Field, Coulomb's and Gauss's Laws, Boundary Conditions on Electric Field | Griffiths: Sections 2.1, 2.2 |
| 6 | Electric Potential, Work and Energy in Electrostatics | Griffiths: Sections 2.3, 2.4 |
| 7 | Conductors and Capacitors, Laplace's Equation, Mean Value and Uniqueness Theorems | Griffiths: Sections 2.5, 3.1 |
| 8 | Image Charges, Separation of Variables | Griffiths: Section 3.2 Completeness Relations (PDF) |
| 9 | Separation of Variables (cont.), Legendre Polynomials | Griffiths: Section 3.3 |
| 10 | Multipole Expansion, Dipole Fields | Griffiths: Section 3.4 |
| 11 | Dipoles and Electric Polarization in Matter | Griffiths: Section 4.1 |
| 12 | Dielectrics, Bound and Free Charges, Electric Displacement | Griffiths: Sections 4.2-4.3 |
| 13 | Boundary Value Problems with Dielectrics | Griffiths: Section 4.4 |
| 14 | Lorentz Force Law, Biot-Savart Law, Ampere's Law | Griffiths: Sections 5.1-5.3 |
| 15 | Magnetic Vector Potential, Boundary Conditions on B | Griffiths: Section 5.4 |
| 16 | Magnetic Multipoles, Torque, Force, and Energy of Magnetic Dipoles | Griffiths: Section 6.1 |
| 17 | Magnetic Materials, Paramagnetism, Diamagnetism, Magnetization, Bound Currents | Griffiths: Sections 6.2, 6.3 |
| 18 | H Field, Boundary Conditions on H, Magnetic Susceptibility and Permeability, Ampere's Law with Free Currents, Ferromagnetism | Griffiths: Sections 6.3, 6.4 |
| 19 | Midterm Exam (Chapters 1-6) | |
| 20 | Ohm's Law, EMFs, Faraday's Law | Griffiths: Sections 7.1, 7.2 |
| 21 | Inductance, Magnetic Energy Density | Griffiths: Section 7.2 |
| 22 | Displacement Current, Charge Conservation, Field Lines, Polarization Current, Maxwell Equations in Matter | Griffiths: Section 7.3 |
| 23 | Boundary Conditions on Fields, Energy-momentum Conservation for EM Fields, Poynting Theorem, Charging Capacitor | Griffiths: Section 8.1 |
| 24 | Momentum carried by EM Fields, Maxwell Stress Tensor, Momentum Flux | Griffiths: Section 8.2 |
| 25 | Waves in One and Three Dimensions, Reflection and Transmission, Polarization | Griffiths: Section 9.1 |
| 26 | Electromagnetic Waves in Vacuum, Energy and Momentum carried by EM Waves | Griffiths: Section 9.2 |
| 27 | EM Waves in Matter, Reflection and Transmission at a Dielectric Interface, Laws of Geometric Optics | Griffiths: Section 9.3 |
| 28 | Fresnel Equations, Polarization by Reflection, EM Waves in Imperfect Conductors | Griffiths: Section 9.4 |
| 29 | How a Microwave Oven Works: Joule Heating by EM Waves in Imperfect Conductors | |
| 30 | Lorentz Oscillator Model for Atomic Dispersion and Absorption, Negative-index Materials | Griffiths: Section 9.4.3 |
| 31 | Waveguides, TE and TM Modes | Griffiths: Section 9.5 |
| 32 | Helmholtz Theorem, EM Potentials, Gauge Transformations, Coulomb Gauge, Lorentz Gauge and Green's Function Solution | Griffiths: Section 10.1 |
| 33 | Coulomb Gauge Potentials, Jefimenko's Equations, Lienard-Wiechert Potentials | Griffiths: Sections 10.2, 10.3.1 |
| 34 | EM Fields of a Moving Point Charge, Geometric Interpretation of Radiation Fields, Radiation from an Accelerated Charge, Power Pattern | Griffiths: Sections 10.3.2, 11.2.1 |
| 35 | Radiated Power, Radiation Reaction, Electric Dipole Radiation, Larmor Formula | Griffiths: Sections 11.1, 11.2.2, 11.2.3 |
| 36 | Electric Quadrupole and Magnetic Dipole Radiation, Thomson Scattering | Electromagnetic Radiation and Scattering (PDF) |
| 37 | 4-vectors, Lorentz Transformations, 4-current and 4-potential, Lorentz Force Law | Griffiths: Section 12.1 |
| 38 | Lorentz Transformation of EM Fields, Maxwell Field Strength Tensor, Covariant Maxwell Equations | Griffiths: Section 12.3 |
| 39 | Electromagnetism of Pulsars | Electromagnetic Radiation and Scattering (PDF) |
| Final Exam |
Table of Contents
Study Materials
Readings
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The following readings are from the main text: Griffiths, David J. Introduction to Electrodynamics. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 1998. ISBN: 9780138053260.