| Tuesday |
Thursday |
| 9/1:
Complex
Arithmetic |
9/4:
Complex
Functions |
| 9/8:
Analyticity, Cauchy-Riemann Equations & Contour Integration |
9/11: Contour Integration & Taylor Series |
| 9/15:
Isolated
Singularities & Laurent Series |
9/18:
The Residue
Calculus |
| 9/22:
Evaluation
of Integrals with the Residue Calculus |
9/25: Introduction to the Laplace
Transforms |
| 9/29: Heaviside Functions and the Second Shifting Theorem |
10/1:
Laplace
Transforms: Convolutions and δ-functions |
10/6: Green's Functions, Convolution & Continuous Superposition
|
10/8: Inverse Laplace Transforms via Mellin Inversion.
Midterm I Available |
10/13:
Intro to
PDE and the Heat Equation
|
10/15: Separation
of Variables (SoV) for the Heat Equation
Midterm I Due |
| 10/20:
Fall Break |
10/22:
MAPLE Lab |
| 10/27: Fourier Series, Orthogonal Functions & L^2 Error |
10/29: Convergence & Gibb's Phenomena |
| 11/3: SoV for Heat Equation (Insulated Walls, Inhomogeneous BC's) |
11/5: The Wave Equation and SoV |
| 11/10: Intro to Fourier Transforms |
11/12: Fourier Transforms: Convolutions and δ-functions |
| 11/17: Fourier Transforms: Gaussians & the Heat Eqn |
11/19: Fourier Transforms: d'Alembert Solution for the Wave Eqn |
11/24: The Spherical Turkey
Midterm II Available |
11/26:
Thanksgiving |
12/1: Sturm-Liouville Problems
Midterm II Due |
12/3: Vibration of an Axisymmetric Circular Membrane &
Bessel's Equation |
| 12/8: Non-axisymmetric Vibrations of a Circular Membrane |
12/10: Review and Course Evaluations
Final Exam Available - Due Friday 12/18 at 2PM. |