| Monday |
Wednesday |
| 1/16: Martin
Luther King Day |
1/18: Complex
Arithmetic |
| 1/23: Complex
Functions |
1/25:
Analyticity, Cauchy-Riemann Equations & Contour
Integration |
| 1/30: Contour
Integration & Taylor Series |
2/1: Isolated
Singularities & Laurent Series |
| 2/6: The Residue
Calculus |
2/8: Evaluation
of Integrals with the Residue Calculus |
| 2/13: Introduction to the
Laplace
Transforms |
2/15: Heaviside
Functions and
the Second Shifting Theorem |
| 2/20: Laplace
Transforms: Convolutions and δ-functions |
2/22: Green's Functions,
Convolution & Continuous Superposition |
| 2/27: Inverse
Laplace Transforms via
Mellin Inversion. |
2/29: Intro
to
PDE and the Heat Equation
Midterm I
Available |
3/5: MAPLE
Lab
Midterm
I Due |
3/7: Separation
of Variables (SoV) for the Heat Equation
|
| 3/12: Spring Break |
3/16: Spring Break |
| 3/19: Fourier
Series, Orthogonal Functions & L2
Error |
3/21: Convergence &
Gibb's Phenomena |
| 3/26: SoV for Heat Equation
(Insulated Walls, Inhomogeneous BC's) |
3/28: The Wave Equation and SoV |
| 4/2: Intro to Fourier
Transforms |
4/4: Fourier Transforms:
Convolutions and δ-functions |
| 4/9: Fourier
Transforms:
Gaussians & the Heat Eqn |
4/11: Fourier
Transforms:
d'Alembert Solution for the Wave Eqn |
4/16: The Spherical Turkey
|
4/18: Sturm-Liouville
Problems
Midterm
II Available |
4/23: Vibration
of an
Axisymmetric Circular Membrane &
Bessel's Equation
Midterm II Due |
4/25: Non-axisymmetric
Vibrations of a Circular Membrane
|