
Date 
Subject 
Reading 
1 
4 September 
Vector and tensor transformations; pseudovectors. Brief review of vector identities.  Griffiths, pp. 1012. 
2 
6 September 
Vector derivatives: gradient, divergence, curl. Product rules, second derivatives.  Griffiths, pp. 1324; Purcell, pp. 4648, 5664, 6879. 
3 
9 September 
Integral theorems: gradient, Gauss's, Stokes's.  Griffiths, pp. 2438. 
4 
11 September 
Polar coordinates: volume, area and length differentials; gradient, divergence and curl in polar coordinates; coordinate transformations. Homework 1 due; homework 2 assigned.  Griffiths, pp. 3845; Appendix A. 
5 
13 September 
Dirac delta function. Helmholtz theorem; scalar and vector potentials.  Griffiths, pp. 4554; Appendix B. 
6 
16 September 
Coulomb’s Law, units. E as a vector field. E from point charges; superposition. Example of calculation of field from Coulomb's law. Lines of E.  Griffiths, pp. 5869. 
7 
18 September 
Flux of E , divergence of E and Gauss' Law. Examples of field calculations using Coulomb's and Gauss' laws.  Griffiths, pp. 6974; Purcell, pp. 2231. 
8 
20 September 
More Gauss' Law
examples. Curl of E (= 0 in electrostatics). 
Griffiths, pp. 7677. 
9 
23 September 
Electric (scalar) potential V. Arbitrariness of reference potential. Superposition. Poisson's and Laplace's equation. Example calculations of potential.  Griffiths, pp. 7786; Purcell, 4246, 4856. 
10 
25 September 
Boundary conditions; summary of calculation paths: Purcell's triangle. Homework 3 due; homework 4 assigned.  Griffiths, pp. 8793; Purcell, pp. 6467. 
11 
27 September 
Work and energy; relation to F and V; nonsuperposition. Examples.  Griffiths, pp. 9396; Purcell, pp. 3133. 
12 
30 September 
Conductors in electrostatics. Induced charge, force between charges and conductors. Examples.  Griffiths, pp. 96103. 
13 
2 October 
Capacitors. Examples of parallel plates, concentric spheres, one sphere. Homework 4 due; homework 5 assigned.  Reading: Griffiths, pp. 103106. 
14 
4 October 
Calculation of V from Laplace's equation: introduction to boundary value problems in physics. Example to show how it works, first.  Griffiths, pp. 110120. 
15 
9 October 
Properties of solutions to Laplace's equation. Averages, lack of local extrema, uniqueness of solutions. Instability of electrostatic mechanical equilibrium. Homework 5 due; homework 6 assigned. 
Griffiths, pp. 110120 (again). 
16 
11 October 
Calculation of V by method of images. Induced charge on conductors; example of point charge and conducting sphere. 
Griffiths, pp. 121126. 
17 
14 October 
Solution of Laplace's equation by separation of variables. Example of semiinfinite slot: harmonic solutions, Fourier coefficients. 
Griffiths, pp. 127136. 
18 
16 October 
Solution of Laplace's equation by separation of variables, in spherical coordinates; Legendre polynomials. Example of conducting sphere in uniform applied electric field. Homework 6 due. 
Griffiths, pp. 137144. 
19 
18 October 
Complete boundaryvalue examples. 
Griffiths, pp. 127144 (again). 
18 October, 3:254:40 PM  Midterm examination
on all material covered to date. 

20 
21 October 
Multipole expansions of the potential; potential and field from an electric dipole. 
Griffiths, pp. 146154. 
21 
23 October 
Polarizability; induced dipoles; torque on electric dipole in uniform electric field. Polarization vector field. Homework 7 assigned. 
Griffiths, pp. 160166. 
22 
25 October 
Bound
charge. Electric fields from polarized media. The electric displacement vector field. 
Griffiths, pp. 166179. 
23 
28 October 
Dielectrics and electric susceptibility. Some calculations of E and V for linear dielectrics. 
Griffiths, pp. 179193. 
24 
30 October 
Forces and energy in dielectrics; capacitor oilpump example. Homework 7 due; homework 8 assigned.  Griffiths, pp. 193196. 
25 
1 November 
Begin
magnetostatics: Lorentz force law; cyclotron motion; force on a steady current. Current
density, continuity equation. 
Griffiths, pp. 202214. 
26 
4 November 
Magnetic fields from BiotSavart Law: force between two currents; field from a circular loop. 
Griffiths, pp. 215220. 
27 
6 November 
Divergence and curl of B, derivation of Ampere's Law. Homework 8 due; homework 9 assigned. 
Griffiths, pp. 221224. 
28  8 November  Calculation of B from Ampere's Law: solenoid, toroid. 
Griffiths, pp. 225232. 
29  11 November  Comparison of magnetostatics and electrostatics. Vector potential A. Example of calculation of A , then B, from spinning, charged spherical shell. 
Griffiths, pp. 232238. 
30  13 November  Boundary conditions; summary of
calculation paths, using Purcell's other triangle. Homework 9 due; homework 10 assigned. 
Griffiths, pp. 240242. 
31  15 November  Magnetic
multipoles; calculation of magnetic dipole moment from current loop; torque on the loop;
comparison between electric and magnetic dipoles. 
Griffiths, pp. 242246. 
32  18 November  Magnetization vector field M; bound currents; magnetic vector field H. Dia and paramagnetism. Boundary conditions. 
Griffiths, pp. 255274. 
33  20 November  Calculation of B and H in linear media. Magnetic susceptibility and permeability. [Leave out ferromagnetism. pp. 278282] Homework 10 due; homework 11 assigned. 
Griffiths, pp. 274277. 
34  22 November  Begin
electrodynamics. Ohm's law, simple treatment of collisions, resistance. Examples. 
Griffiths, pp. 285290. 
35  25 November  EMF and magnetic flux; some examples; Faraday's Law. 
Griffiths, pp. 292304. 
36  27 November  Examples of use of Faraday's Law; magnetoquasistatics. Homework 11 due. 
Griffiths, pp. 305309. 
37  2 December  Inductance, transformers. Energy in magnetic fields. 
Griffiths, pp. 310320. 
38  4 December  Kirchhoff's rules, resistor networks. Homework 12 assigned. 
Purcell, pp. 148159. 
39  6 December  Timedependent currents: RC and RL circuits. 
Purcell, pp. 159161, 282286. 
40  9 December  AC circuits; series LRC circuit, resonance, Q. 
Purcell, pp. 298310. 
41  11 December  AC
networks; impedance and admittance. Homework 12 due. 
Purcell, pp. 310318. 

21 December, 47 PM 
Final examination, covering all material introduced during
the course. 