|Sep 30 - Oct 5
||Ordinary differential equations
Integrating factors and separation of variables.
Constant coefficient linear differential equations.
Applications to mechanical and electrical physical systems.
|Oct 7 - Oct 9
Periodically driven systems.
Orthogonal basis sets in function space.
Dirac delta function.
|Oct 12 - Oct 15
Limit of infinite period.
Continuous sets of basis functions.
|Oct 16 - Oct 22
Cauchy residue theorem.
Evaluation of integrals in the complex plane.
|Oct 23 - Oct 28
Inhomogeneous 2nd order ODEs with general
(non-integral) driving terms.
Inverting Laplace transforms.
|8 & 14||18|
|Oct 29 - Nov 2
More on inhomogeneous 2nd order ODEs with general
|8 & 14||19|
|Nov 4 - Nov 9
||Calculus of variations
Hamilton's principle, Lagrangian formulation
of classical mechanics.
|Nov 11||Veteran's Day Holiday|
|Nov 12 - Nov 18
||Legendre polynomials I
Laplace equation in spherical coordinates,
series solutions of ordinary differential equations.
|Nov 19 - Nov 25
||Legendre polynomials II
orthogonality & completeness, normalization,
expansions in Legendre polynomials,
associated Legendre functions,
|Nov 26 - Nov 27||Thanksgiving Holiday|
|Nov 30 - Dec 3
||Frobenius and Bessel
Method of Frobenius,
Laplace equation in cylindrical coordinates,
|Dec 4 - Dec 7
||Partial differential equations I
Homogeneous, time-independent linear PDEs,
Laplace and Helmholtz boundary value problems.
|Dec 9 - Dec 11
||Partial differential equations II
Time dependent &
inhomogeneous linear PDEs,
|13||25 & 26|