September

September

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1 2

3 4
Labor Day
5
lecture 2

From Coulomb to Maxwell: Lorentz force, the magnetic field, Biot-Savart law, current density, charge conservation and the definition of magnetostatics, Maxwell's equations for magnetostatics, Faraday's Law
6 7
lecture 3

Maxwell's correction to Ampere's Law, EM waves, systems of units, scalar and vector potentials, gauge invariance, Lorentz gauge
8 9

10 11 12
lecture 4

Coulomb gauge, longitudinal and transverse parts of a vector function, review of Fourier transforms, physical meaning of the electrostatic potential, Green's function
13 14
lecture 5

Conductors in electrostatics, Coulomb problem as a boundary value problem, electric field at a charged surface, Dirichlet vs Neumann boundary condition, examples, Green's identities and uniqueness
15 16

17 18 19
lecture 6

Uniquness of solutions to the Dirichlet and Neumann boundary value problem, Greens functions for Dirichlet and Neumann boundary conditions, the image charge method for a charge in front of an infinite plane and in front of a conducting sphere
20 21
lecture canceled
22 23

24 25 26
lecture 7

Charge in front of a charged conducting sphere, separation of variables method in rectangular and polar coordinates

HW #1 due
27 28
lecture 8

Electric field at a sharp edge, separation of variables in spherical coordinates, Legendre polynomials
29
lecture 9

Examples of problems with azimuthal symmetry.

make-up lecture 11:25am-12:40pm in Dewey 2110E
30