| Monday |
Wednesday |
| 1/21:
Martin Luther King Day |
1/23: Complex
Arithmetic |
| 1/28: Complex
Functions |
1/30:
Analyticity,
Cauchy-Riemann Equations & Contour Integration |
| 2/4: Contour
Integration
& Taylor Series |
2/6: Isolated
Singularities
& Laurent Series |
| 2/11: The
Residue Calculus |
2/13: Evaluation
of
Integrals with the Residue Calculus |
| 2/18:
Introduction to the Laplace Transforms |
2/20: Heaviside
Functions
and the Second Shifting Theorem |
| 2/25: Laplace
Transforms: Convolutions
and δ-functions |
2/27: Green's
Functions, Convolution & Continuous Superposition |
| 3/4:
Inverse Laplace
Transforms via Mellin Inversion. |
3/6:
Intro to PDE and the
Heat Equation
Midterm I
Available |
3/11: MAPLE
Lab
Midterm
I
Due |
3/13:
Separation
of
Variables (SoV) for the Heat Equation
|
| 3/18: Spring
Break |
3/20: Spring
Break |
| 3/25: Fourier
Series,
Orthogonal Functions & L2 Error |
3/27: Convergence
& Gibb's Phenomena |
| 4/1: SoV
for Heat Equation (Insulated Walls, Inhomogeneous
BC's) |
4/3: The
Wave Equation and SoV |
| 4/8: Intro
to Fourier Transforms |
4/4: Fourier
Transforms: Convolutions and δ-functions |
| 4/15: Fourier
Transforms:
Gaussians
& the Heat Eqn |
4/17: Fourier
Transforms:
d'Alembert
Solution for the Wave Eqn |
4/22: The
Spherical Turkey
|
4/24: Sturm-Liouville
Problems
Midterm
II
Available |
4/29: Vibration
of
an Axisymmetric Circular Membrane &
Bessel's Equation
Midterm II Due |
5/1: Non-axisymmetric
Vibrations
of a Circular Membrane
|