Lec # | Topics | Assignments |
---|---|---|
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) |