Homework schedule, Math 1241, Fall 2012
| Week | Read | Assigned problems | Group project | Date Due |
|---|---|---|---|---|
| 1 | Section 1.1, 1.2 | Section 1.2: 1, 5, 7, 13, 15, 17, 21, 33, 39, 43, 45, 51, 55, 57, 63 | Controlling a rabbit population One report from each group. Answer questions from “summary of questions.” | 9/18 |
| 2 | Section 1.4, 1.5 | Bacteria growth model exercises: 1a, 2a, 3, 4a, 5 Section 1.4: 11, 25, 39 Section 1.5: 1, 25 Discrete exponential growth and decay exercises: 1aeg, 3, 4, 5 Penicillin clearance model exercises: 1, 2 |
Constructing a mathematical model for penicillin clearance | 9/25 |
| 3 | Section 1.6, 1.7, 1.10.3 | Section 1.6: 1, 5, 10, 13, 17, 33, 39, 45 Section 1.7: 5, 17, 21, 23, 37 Chemical pollution model exercises: 1a, 2a, 3a |
Nothing to hand in because Determining stability by cobwebbing linear approximations around equilibria will be continued next week. |
10/2 |
| 4 | Section 2.1, 2.4 | Section 2.1: 3, 9, 15, 19, 23, 27 Section 2.4: 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 29 |
Determining stability by cobwebbing linear approximations around equilibria | 10/9 |
| 5 | Section 2.5, 2.6, 2.7, 2.8 | Section 2.5: 1, 9, 17, 23, 27, 37 Section 2.6: 1, 7, 13, 25, 35 Section 2.7: 1, 11 Section 2.8: 1, 3, 5, 9, 11, 19, 37, 43 |
Exploring the derivative of the exponential function | 10/16 |
| 6 | Section 2.9, 3.1, 3.2 | Section 2.9: 1, 3, 9, 11, 13, 21, 41, 49 Section 3.1: 3, 9, 19, 29 Section 3.2: 3, 9, 11, 29 Elementary partial derivative problems: 1, 5, 7 |
Developing a logistic model to describe bacteria growth | 10/23 |
| 7 | Section 3.3, 3.7 | Section 3.3: 5, 11, 17, 23, 25, 45, 49, 51 Section 3.7: 3 (just tangent line), 9, 17, 25, 43 |
Approximating functions by quadratic polynomials | 10/30 |
| 8 | Section 4.1 | Section 4.1: 1, 2, 7, 9, 11, 15, 17, 21 (for Euler method problems, show the calculations, don't just use an applet) | From discrete dynamical systems to continuous dynamical systems | 11/6 |
| 9 | Section 4.2, 4.3 | Section 4.2: 1, 5, 9, 13, 19, 27, 31 Section 4.3: 3, 7, 42, 47 Additional problem: Calculate \(\int (2t^3+3t)e^{t^4 + 3t^2} dt\). |
Using the Forward Euler algorithm to solve pure-time differential equations | 11/13 |
| 10 | Section 4.4, 4.5, 4.6 | Section 4.4: 1, 5, 9, 13 (left-hand = Forward Euler, right-hand = Backward Euler), 29 Section 4.5: 1, 9, 15, 25, 29 Section 4.6: 7, 13, 21, 35 |
Calculating the area under a curve using Riemann sums | 11/20 |
| 11 | Section 5.1, 5.2, 5.3 | Section 5.1: 1, 5, 9, 11, 17, 21, 27 Section 5.2: 1, 7, 9, 11, 13, 15, 21, 29 Section 5.3: 3, 9, 11, 21, 31 |
Spruce budworm outbreak model | 11/27 |
| 12 | Section 5.5, 5.6, 5.7 | Section 5.6: 1, 3, 5, 9, 15, 19, 33 Section 5.7: 3, 5, 7, 9, 11 Each of the following are the same problems that are spread across multiple sections from 5.5 to 5.7. Combine each into a single problem.
|
Introducing rabbit predators | 12/11 |