Math 18500/31 Mathematical Methods in the Physical Sciences III
Syllabus: See Canvas.
- Regular Class: MWF 10:30-11:20 am @ Pick Hall 022
- Office Hour: T 9:30-11:00 am, Th 3:30-5:00 pm @ Eckhart 318
Calendar
Week | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1 | 3/20 Introduction & Separable ODE |
3/21 |
3/22 First order linear ODE |
3/23 |
3/24 Series solution |
2 | 3/27 Homogeneous second order ODE |
3/28 HW 1 due |
3/29 Linearity |
3/30 |
3/31 Operators |
3 | 4/3 Systems with simple roots |
4/4 HW 2 due |
4/5 Systems with repeated roots |
4/6 |
4/7 Phase portrait of 2D linear systems |
4 | 4/10 Introduction to PDE |
4/11 |
4/12 Exam 1 (up to 4/7) |
4/13 HW 3 due |
4/14 Separation of variables |
5 | 4/17 Boundary conditions |
4/18 |
4/19 Fourier series |
4/20 HW 4 due |
4/21 Fourier series (cont’d) |
6 | 4/24 Extensions |
4/25 |
4/26 Heat equations |
4/27 HW 5 due |
4/28 Wave equations |
7 | 5/1 Fourier transform |
5/2 |
5/3 Inhomogeneity |
5/4 |
5/5 Exam 2 (up to 5/1) |
8 | 5/8 Inhomogeneous second order ODE |
5/9 HW 6 due |
5/10 Laplace transform |
5/11 |
5/12 Laplace transform (cont’d) |
9 | 5/15 Convolution |
5/16 HW 7 due |
5/17 Dirac and Heaviside |
5/18 |
5/19 Review Session |
Final | 5/22 Reading Period |
5/23 |
5/24 |
5/25 |
5/26 |