| Syllabus |
| Quotes |
| M469 References |
| Modeling Basics: Notes from M442 on Regression and Parameter Estimation |
| Practice Problems for the Midterm Exam |
Homework Assignments:
| Assignment 1 |
| Assignment 2 |
| Assignment 3 |
| Assignment 4 |
| Assignment 5 |
| Assignment 6 |
| Assignment 7 |
| Assignment 8 |
| Assignment 9 |
| Assignment 10 |
| M469 as an Online Course (9:19) |
| Predator-Prey Models (7:18) |
| Competition and Mutualistic Models (6:10) |
| Epidemic Models (12:22) |
| Full Lecture PDF (14 pages) |
| Fitting a Model to Data: Linear Regression (6:24) |
| Fitting a Model to Data: Nonlinear Regression (6:44) |
| Full Lecture PDF (10 pages) |
| Non-dimensionalization (5:26) |
| Fixed Points and Stability (23:24) |
| Full Lecture PDF (12 pages) |
| Identifying m-Cycles (10:15) |
| Stability of m-Cycles, I (20:21) |
| Full Lecture PDF (16 pages) |
| Stability of m-Cycles, II (12:48) |
| Delay Difference Systems (7:46) |
| Full Lecture PDF (11 pages) |
| Compartment Models: Respiration (8:15) |
| Compartment Models: Medication (13:51) |
| Single Species Population Models (13:26) |
| Full Lecture PDF (14 pages) |
| Fitting Models to Data: Derivative Approximation (14:08) |
| Fitting Models to Data: Linear and Nonlinear Regression (14:06) |
| Full Lecture PDF (14 pages) |
| University Reading Day |
| Embryonic Cell Development: Biology (6:59) |
| Embryonic Cell Development: Mathematical Analysis (15:59) |
| Full Lecture PDF (10 pages) |
| Linear Systems of ODE: Examples (19:08) |
| Linear Systems of ODE: Solving Systems with Constant Coefficients (13:51) |
| Full Lecture PDF (24 pages) |
| Final Review: Logistics of the On-Line Final (6:14) |
| Final Review: Problem 11 (7:54) |
| Final Review: Problem 12 (14:18) |
| Final Review: Problem 14 (13:52) |
| malthus1.m |
| dl1.m |
| dl2.m |
| nddl4plot.m |
| nddl.m |