Classes are on T TH 11:00-12:15 in Lewis Room 228
Classes:
- 08/21/2018 - Structure and properties of Maxwell equations. Electrostatics. Poisson equation and definition of electric potential.
[Jackson Sects. 1.1, 1.2, 1.7].
- 08/23/2018 - Definition and properties of Dirac delta function. Green's function with no boundaries. [Jackson Sects. 1.1, 1.2, 1.5, 1.7].
- 08/28/2018 - Charge density distributions. Gauss' law. Potential energy. [Jackson Sects. 1.2-1.5].
- 08/30/2018 - Capacitance. Dipole layer. Green's theorem. [Jackson Sects. 1.6, 1.8, 1.9, 1.11].
- 09/04/2018 - Dirichet and Neumann boundary conditions. Green's function for the plane. [Jackson Sects. 1.8, 1.9].
- 09/06/2018 - Green's function for the sphere. Solutions of boundary-value problems with a sphere. [Jackson Sects. 2.2, 2.6].
- 09/11/2018 - Conducting sphere with hemispheres held at different potential. Conducting sphere with two charges and in a constant external electric field. [Jackson Sects. 2.5, 2.7].
- 09/13/2018 - Two-dimensional electrostatics. Orthonormal bases and polynomials.
- 09/18/2018 - Laplace equation in Cartesian coordinates. Fourier series and transform. [Jackson Sects. 2.8-2.9].
- 09/20/2018 - Two-dimensional electrostatics with Fourier expansion. Solution of the Laplacian with spherical coordinates. [Jackson Sects. 2.5, 2.7].
- 09/25/2018 - Azimuthal problems with Legendre polynomials. [Jackson Sect. 3.3]
- 09/27/2018 - Green's function with Legendre polynomials. Fields near conical holes or points. Spherical harmonics. [Jackson Sects. 3.3-3.5]
- 10/02/2018 - Expansion in spherical harmonics. Green's function with spherical harmonics. [Jackson Sects. 3.4-3.6, 3.9].
- 10/04/2018 - Green's function for the sphere with spherical harmonics. Problems. [Jackson Sects. 3.9, 3.10].
- 10/09/2018 - Problems with spherical harmonics. Cylindrical coordinates. [Jackson Sects. 3.7].
- 10/11/2018 - Cylindrical coordinates. [Jackson Sects. 3.7,3.8].
- 10/16/2018 - Problems with cylindrical coordinates. [Jackson Sect. 3.8].
Next class:
- 10/18/2018 - Eigenfunction expansions for Green functions. [Jackson Sects. 3.9].