For your convenience, I include below my Notes from the most recent versions of E&M I have taught. These may be helpful for review or for a slightly different approach to some problems.

Electrodynamics I, Fall 2011 (level of Jackson, Physics 6110)

Electromagnetism I, Fall 2015 (level of Griffiths, Physics 3600)

Electrodynamics II, Fall 2011 (level of Jackson, Physics 6120)

Electrodynamics I, Physics 6110, Fall, 2011

Notes from the 2011 version of Electrodynamics I (incomplete, but see 3600 below for some comparable material).

Notes on Introduction and Chapter 1

Notes on Chapter 2

Notes Magnetic field of a current loop

Electromagnetism I, Physics 3600, Fall, 2015

Notes from the 2015 version of Electromagnetism I.

Mathematical background

I. Vectors

A. Definition

B. Dot product

C. Cross product

D. Rotations

E. Exercises (required)

II. Derivatives of vectors and vector identities

A. Curves

B. Gradient

C. Divergence

D. Curl

E. Combining derivatives

F. The Levi-Civita tensor (optional)

G. Exercises

III. Integral theorems

A. Integral of the gradient

B. The divergence theorem

C. Stokes’ theorem

D. Exercises

IV. Additional mathematical tools: Summary

A. Cylindrical coordinates

B. Spherical coordinates

C. Rotations

D. Dirac delta function

E. Helmholz theorem

F. Exercises

G. Additional mathematical tools: Detail (optional)

Electrostatics

Techniques for computing time independent electric fields from a variety of sources.

I. The electric field

A. Coulomb’s law and the electric field

B. The continuum limit

C. Exercises

D. Math reminder: Taylor series

II. Gauss's law

A. The integral form of Gauss’s law

B. Examples using the integral form of Gauss's law

C. Exercises

III. Maxwell’s equations for electrostatics

A. The differential form of Gauss’s law

B. The curl of the electric field

C. Maxwell’s equations for electrostatics and the electric potential

D. Boundary conditions

E. Examples

F. Exercises

IV. Electric potential energy

A. Conservation of energy in the presence of electrostatic forces

B. The energy of a charge configuration

C. Force on a charged surface

D. Capacitance

E. Examples

F. Exercises

Solution techniques for electrostatics

I. The method of images

A. Planes

B. Spheres

C. Exercises

II. Separation of variables in Cartesian coordinates

A. Separation of variables

B. Satisfying the boundary conditions

C. Exercise

II. Separation of variables in spherical coordinates

A. Separation of variables

B. Satisfying the boundary conditions. These examples show some of the range of applications solvable using the spherical expansion. However, you will only be required to do problems similar to the exercises.

C. Exercises

III. Multipole expansion

A. The multipole expansion

B. Monopole

C. Dipole

D. Quadrupole (optional)

E. Exercises

Electric fields in matter

I. Electric fields in matter

A. Polarization of molecules

B. The potential produced by polarized materials

C. Electric displacement