MAT 308-01 - Differential Equations with Linear Algebra - Spring 2023
This course meets MW 4:25-5:45 in Frey Hall 217.
Course information
| Office hours: | Monday 3:00-4:00pm |
| Wednesday 12:00-1:00pm | |
| or by appointment | |
| You have the option to come to my office (Math Tower 4101B) or to meet on Zoom: | |
| https://stonybrook.zoom.us/j/2482038879?pwd=TDVGcUU4UXhlNHEvdllnckdBb2VpZz09. | |
| Let me know in advance if you plan to meet on Zoom. | |
| Textbook: | Williamson and Trotter, Multivariable mathematics, Fourth edition. |
Course schedule and assignments
Each week’s homework assignment is due Wednesday of the following week at midnight. Homework should be submitted on Brightspace. You are also encouraged to work through as many other problems as you find helpful to understand the material, especially the odd-numbered problems since their answers are mostly in the book.
| Week | Date | Sections | Assignment |
| 1 | Jan. 23 Jan. 25 |
3.1 Linear functions on R^n 3.2 Vector spaces 3.3 Linear functions |
HW 1 3.1 #4, 12, 16, 20, 33; 3.2 #4, 10, 12, 18, 31; 3.3 #6, 8, 18, 22 |
| 2 | Jan. 30 Feb. 1 |
3.4 Image and null-space 3.5 Coordinates and dimension |
HW 2 3.4 #2, 6, 10, 20, 22; 3.5B #4, 10, 14, 18, 26, 36, 40; 3.5C #2, 13, 14 |
| 3 | Feb. 6 Feb. 8 |
3.6 Eigenvalues and eigenvectors 3.7 Inner products |
HW 3 3.6A #2, 6, 8; 3.6B #4, 8, 12, 16; 3.7A #2, 13, 14; 3.7B #2, 4, 15 |
| 4 | Feb. 13 Feb. 15 |
10.1 Direction fields 10.2 Applications 10.3 Linear systems |
HW 4 10.1A #2, 8, 24 10.2 #8, 14, 24, 28; 10.3 #2, 4, 8, 10, 16, 22 |
| 5 | Feb. 20 Feb. 22 |
11.1 Differential operators 11.2 Complex solutions |
HW 5 11.1 #12, 14, 32, 34, 41; 11.2A #4, 18, 35, 46; 11.2B #2, 4, 14, 20, 52 |
| 6 | Feb. 27 Mar. 1 |
11.3 Nonhomogeneous equations 11.4 Oscillations |
HW 6 11.3B #2, 8, 30, 43; 11.3D #2, 6, 12, 16, 28; 11.4 #2, 4, 12, 14 |
| 7 | Mar. 6 Mar. 8 |
Review MIDTERM 1 (3.1-7, 10.1-11.4) |
|
| 8 | Mar. 20 Mar. 22 |
11.5 Laplace transforms 11.6 Convolution |
HW 7 11.5 #2, 6, 8, 12, 24, 26; 11.6 #2, 8, 10, 18, 22 |
| 9 | Mar. 27 Mar. 29 |
11.7 Nonlinear equations 12.1 Vector fields |
HW 8 11.7B #2, 8, 14, 18; 11.7C #12; 12.1C #4, 6, 14; 12.1D #2, 5, 6 |
| 10 | Apr. 3 Apr. 5 |
12.2 Linear systems 12.3 Applications |
HW 9 12.2 #6, 8, 10, 12, 24, 28; 12.3 #6, 8, 10, 22 |
| 11 | Apr. 10 Apr. 12 |
13.1 Eigenvalues and eigenvectors 13.2 Matrix exponentials |
HW 10 13.1 #8, 12; 13.2C #4, 12, 16, 24; 13.2D #4, 6, 8, 16; 13.2E #4, 6 |
| 12 | Apr. 17 Apr. 19 |
13.3 Nonhomogeneous systems 13.4 Equilibrium and stability |
HW 11 13.3 #2, 4, 12, 16; 13.4A #4, 10, 14; 13.4B #2, 5, 6, 14 |
| 13 | Apr. 24 Apr. 26 |
Review MIDTERM 2 (11.5-7, 12.1-3, 13.1-4) |
|
| 14 | May 1 May 3 |
14.6 Differential equations 14.7 Power series solutions |
HW 12 14.6 #2, 4, 6, 8; 14.7 #4, 7, 8 |
| May 16, 2:15-5:00 | Final Exam | Cumulative All sections included in Midterms 1, 2 plus 14.6-7 |