## Lecture Notes and Tentative Schedule

These are lecture notes that I use. They are not a substitute for a good book or for going to class. But, if you miss one class they can work for you

#### Overivew

 Week 1: 8/25 part 1 The Maxwell equations and mathematical review: Units Overview: Specify the currents (or a constituent relation) and solve for the fields Vector analysis, tensors, "bac-abc", Helmholtz theorems and immediate applications: Gauge invariance Current conservation Waves Expansion of the Maxwell equations in 1/c

#### Electrostatics and dielectric media

 Week 1: 8/25 part 2 Electrostatics: Fundamental equations and boundary conditions Electrostatic energy Stress and force in electrostatics: The stress tensor and forces generally, momentum conservation law The electric stress tensor and two in class problems The multipole expansion Forces on a multipole Week 2: 9/1 Methods of Electrostatics Intro to Green Functions and Image Charges Green Theorem Example Proof Separation of Variables for BVP A charged ring in a sphere A charged cylindrical shell and modified bessel functions Week 3: 9/8 Week 2 continued Week 4: 9/15 Electrostatics in Material: A consitutive relation for the current in electric fields Determining the current -- the polarization vector The material charge density in the bulk and interfaces Relation to the dipole picture Boundary value problems with dielectrics Energy and stress in dielectrics

#### Magnetostatics

 Week 5: 9/22 Magnetostatics: Ohms Law and steady currents Basics Expansion of the Maxwell Equations in 1/c Amperes Law and Biot Savat Gauge Potentials and the Coulomb Gauge Magnetic Multipoles Field from a multipole Force and torque on a multipole Boundary conditions in magnetostatics Boundary conditions a spinning sphere Magnetic Fields in matter: A derivative expansion for the constitutive relation The magnetization and associated boundary currents The equations of linearized magneto statics The magnetic scalar potential Diamagnetic, Paramagnetic, and Ferromagnetic substances

#### Induction, Conservation Laws, Waves

 Week 6: 9/29 Quasi-statics in vacuum and metals. Maxwell Equations for Potentials. Basics of Induction: The maxwell equations expansion to 1/c^2 Energy stored in magnetic field. Mutual inductance The Maxwell equations for the gauge potentials and quasistatics. Quasi-static fields in metals Week 7: 10/6 Conservation Laws. Propagation of waves in media and interfaces: Week 8: 10/13 Dispersion. Wave packtes.