# Lecture Notes

### For reference

All the Fundamental Theorems Together

Maxwell’s Equations

Minus Signs

### Chapter 1: Vector Analysis

Gradients Theorem

Divergence Theorem

Stokes’ Theorem (Curl)

Dirac Delta Function

Potentials and Boundary Conditions

### Chapter 2: Electrostatics

Andrea’s Crash Course in Chapter 2

Electric Field

Divergence and Curl of Electric Field, Gauss’s Law

Potential, Work, Energy

Boundary Conditions and Conductors

### Chapter 3: Potentials

Andrea’s Crash Course in Chapter 3

Laplace’s Equation and the Method of Images

Separation of Variables

Multipole Expansion

### Chapter 4: Electric Fields in Matter

Andrea’s Crash Course in Chapter 4

Polarization

Debrief HW3

Displacement

Boundary Values in the Presence of a Dielectric

Full solution to the Dielectric Cylinder Problem

Final Words (Rant?) on Displacement

### One-third of the way through the course, we reflect…

Summary of Course so Far

Survey Results

### First Exam

What will be the format of the 1st exam?

Practice Problems for 1st exam

First Exam

### Chapter 5: Magnetostatics

Andrea’s Crash Course in Chapter 5

Lorentz and Biot-Savart

Ampere’s Law and the Vector Potential

### Chapter 6: Magnetic Fields in Matter

Andrea’s Crash Course in Chapter 6

Magnetization and the Field of a Magnetized Object

The Auxiliary Field

### Chapter 7: Electrodynamics

Andrea’s Crash Course in Chapter 7

Electromotive Force and Induction

Maxwell’s Equations

### Chapter 8: Griffiths calls it Conservation laws, at this point we only picked up the Continuity Equation and saved the rest for after Chapter 9

(We’re kind of picking up Chapter 8 along the way…)

Andrea’s Crash Course in Chapter 8

### Chapter 9: Electromagnetic Waves

Andrea’s Crash Course in Chapter 9

Light!!!!!

Polarization of Waves in Linear and Conducting Media

Boundary Conditions, Reflection and Transmission

### Second Exam

Review for the second exam

What will be the format of the 2nd exam?

Practice Problems for 2nd exam

Second Exam

### Poynting Vector, Energy, Transmission coefficient (parts of chapters 8 and 9)

In a quarter wave plate, can we really assume the transmission coefficients are the same?

Poynting Theorem, Poynting Vector, Energy, Momentum

Poynting Theorem in EM Waves, Transmission and Reflection Coefficients

Waves in a Tenuous Plasma, Dispersion

### Chapter 10: Potentials and Fields

Andrea’s Crash Course in Chapter 10

The Potential Formulation

The Deferred Potential

Leinard-Wiechert Potential

### Chapter 11: Radiation

Andrea’s Crash Course in Chapter 11

Radiation

Dipole Radiation

Radiation from a Point Charge

### The Final Week: Looking backwards and forwards

Chapter 10 Review (emphasis Gauge and Deferred) Plus Relativity, Chapt 12

Chapter 10 Review cont’d including Deferred Potential

Pancake breakfast party, and Review Chapter 11. We’ll do a questionnaire here to get your thoughts about the class

### The Final Exam

You may look at the following whenever you want. It explains the format of the exam and what kind of problems
to expect.
Format of the Final Exam

When you’re ready to take the exam please click here.