Electricity and Magnetism
meets TR 1:25-3:20 in SW 217
Office: SW 233, phone 5-0303
Text: “Electrodynamics” by J. D. Jackson
Grading is based on homework (40%), a midterm (25%), and a final
(35%). The homework (about one
assignment per week) is the heart of the class and very important.
Grader: Ruizi Li, email: email@example.com, SW340, 5-0293
(4 cr.) Electricity
and Magnetism I Three hours of lectures and one hour of recitation. Development of Maxwell's equations. Conservation laws. Problems in electrostatics and magnetostatics.
Introduction to the special functions of mathematical
physics. Time-dependent solutions of Maxwell's
equations. Motion of particles in given
electromagnetic fields. Elementary theory of
radiation. Plane waves in dielectric and conducting media. Dipole and quadruple radiation from nonrelativistic
I) Introduction to electrostatics.
II) Boundary value problems in electrostatics.
electrostatics of macroscopic media.
V) Maxwell equations, conservation laws.
VI) Plane electromagnetic waves and wave propagation
The course will cover approximately the first 6
chapters of Jackson.
Course lectures will be
Please see P507 Web site for
Mathematical Methods in the Core Graduate Courses
P506 (Electricity and Magnetism I)
- Calculus: Cylindrical, spherical,
coordinate systems, transformations of basis vectors, Jacobians,
differential operators in orthogonal curvilinear coordinates.
- Delta Functions: Symbolic
rules, properties, changes of variable, redundant coordinates.
- Green's Functions: Gauss and Stokes Theorems,
Green's Theorems, Green's functions for the Laplacean
on Rn, n=1,2,3 directly and by Fourier
transform, Green's functions on bounded regions for Dirichlet
and Neumann problems.
- Separation of variables for the
(a) Two dimensional boundary value problems and Fourier series, Fourier
series expansions for Green's functions. (b) Spherical coordinates, Gamma
Function, Legendre polynomials and expansions, orthogonality
relations, associated Legendre functions, orthogonality
relations, spherical harmonics, orthogonality
relations, addition theorem for spherical harmonics, spherical
harmonic expansions for Green's functions. (c) Cylindrical coordinates,
Bessel functions (J in some detail as a power series solution to the
ordinary differential equation, regular singular points, other Bessel
functions and their asymptotic properties near the origin and at
infinity), Fourier-Bessel series, Wronskians for
second order ordinary differential equations, Fourier-Bessel expansions of
- Numerical Methods: Iterative solutions to
Laplace's equation, comparison between analytical and numerical results,
treatment of problems with less symmetry than the usual analytical