| 1-3 |
Lecture 1: Introduction to Fields
Vectors, Index Notation, Basic Vector Operations
Lecture 2: Review of Vector Calculus
Potential Fields, Stokes and Divergence Theorems, Curvilinear Coordinates
Lecture 3: Vector Calculus in Spherical Coordinates, Volume and Area Elements, Dirac Delta Function |
Problem Set 1 (PDF) |
| 4-6 |
Lecture 4: Delta Function in Three Dimensions and in Curvilinear Coordinates, Laplacian of 1/r
Lecture 5: Electric Field, Coulomb's and Gauss's Laws, Boundary Conditions on Electric Field
Lecture 6: Electric Potential, Work and Energy in Electrostatics |
Problem Set 2 (PDF) |
| 7-9 |
Lecture 7: Conductors and Capacitors, Laplace's Equation, Mean Value and Uniqueness Theorems
Lecture 8: Image Charges, Separation of Variables
Lecture 9: Separation of Variables (cont.), Legendre Polynomials |
Problem Set 3 (PDF) |
| 10-11 |
Lecture 10: Multipole Expansion, Dipole Fields
Lecture 11: Dipoles and Electric Polarization in Matter |
Problem Set 4 (PDF) |
| 12-14 |
Lecture 12: Dielectrics, Bound and Free Charges, Electric Displacement
Lecture 13: Boundary Value Problems with Dielectrics
Lecture 14: Lorentz Force Law, Biot-Savart Law, Ampere's Law |
Problem Set 5 (PDF) |
| 15-17 |
Lecture 15: Magnetic Vector Potential, Boundary Conditions on B
Lecture 16: Magnetic Multipoles, Torque, Force, and Energy of Magnetic Dipoles
Lecture 17: Magnetic Materials, Paramagnetism, Diamagnetism, Magnetization, Bound Currents |
Problem Set 6 (PDF) |
| 18-20 |
Lecture 18: H Field, Boundary Conditions on H, Magnetic Susceptibility and Permeability, Ampere's Law with Free Currents, Ferromagnetism
Lecture 19: Midterm Exam (Chapters 1-6)
Lecture 20: Ohm's Law, EMFs, Faraday's Law |
Problem Set 7 (PDF) |
| 21-23 |
Lecture 21: Inductance, Magnetic Energy Density
Lecture 22: Displacement Current, Charge Conservation, Field Lines, Polarization Current, Maxwell Equations in Matter
Lecture 23: Boundary Conditions on Fields, Energy-momentum Conservation for EM Fields, Poynting Theorem, Charging Capacitor |
Problem Set 8 (PDF) |
| 24-28 |
Lecture 24: Momentum carried by EM Fields, Maxwell Stress Tensor, Momentum Flux
Lecture 25: Waves in One and Three Dimensions, Reflection and Transmission, Polarization
Lecture 26: Electromagnetic Waves in Vacuum, Energy and Momentum carried by EM Waves
Lecture 27: EM Waves in Matter, Reflection and Transmission at a Dielectric Interface, Laws of Geometric Optics
Lecture 28: Fresnel Equations, Polarization by Reflection, EM Waves in Imperfect Conductors |
Problem Set 9 (PDF) |
| 29-33 |
Lecture 29: How a Microwave Oven Works: Joule Heating by EM Waves in Imperfect Conductors
Lecture 30: Lorentz Oscillator Model for Atomic Dispersion and Absorption, Negative-index Materials
Lecture 31: Waveguides, TE and TM Modes
Lecture 32: Helmholtz Theorem, EM Potentials, Gauge Transformations, Coulomb Gauge, Lorentz Gauge and Green's Function Solution
Lecture 33: Coulomb Gauge Potentials, Jefimenko's Equations, Lienard-Wiechert Potentials |
Problem Set 10 (PDF) |
| 34-36 |
Lecture 34: EM Fields of a Moving Point Charge, Geometric Interpretation of Radiation Fields, Radiation from an Accelerated Charge, Power Pattern
Lecture 35: Radiated Power, Radiation Reaction, Electric Dipole Radiation, Larmor Formula
Lecture 36: Electric Quadrupole and Magnetic Dipole Radiation, Thomson Scattering |
Problem Set 11 (PDF) |