Mar 26 - Apr 11 Ch.8, Ordinary Differential Equations.
Linear and nonlinear, separable, constant coefficients. Examples:
damped and driven circuits
and oscillators; one dimensional motion and the Kepler problem,
Green's functions.
Fri Apr 20 First midterm exam (open book, calculators not allowed).
Apr 13 - 25 Ch.
9, Calculus of Variations.
Functional variations, Euler equation. Examples: Lagrangian mechanics.
Apr 27 - May 4 Ch. 6,
sections 5-7, 10, Vector Analysis.
Fields, div, grad and curl. The continuity equation and the divergence
theorem. The Laplacian
in Cartesian, cylindrical and spherical coordinates.
Fri May 11
Second midterm exam (open book, calculators
not allowed).
May 7- May 21
Ch 13, Partial Differential Equations.
Separation of variables, boundary value problems. Examples:
Laplace and
Poisson equations; diffusion, wave and Schroedinger equations.
Mon May 28
Memorial Day holiday.
May 23- Jun 1
Ch 12, Series Solutions of Differential Equations.
Series solutions. Bessel functions, Legendre polynomials, spherical
harmonics
(as time allows).
Wed Jun 6
Final exam 2:30-4:20 PM, Location
to be announced.
Open book. No calculators allowed on this exam.