Mathematical Modeling
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Home > assignments
| Week | Date | Topic | Homework and Reading (due at the beginning of class) |
|---|---|---|---|
| 1 | Monday 9/15/03 |
Course Orientation. | |
| Wednesday 9/17/03 |
Chapter 1. Introduction. | ||
| Friday 9/19/03 |
Chapter 2. Exponential Growth. | Read "HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time," pp. 15-22. | |
| 2 | Monday 9/22/03 |
Chapter 3. Introduction to Differential Equations. | Chapter 2. Exercises 1, 2, 4 (a, b, c, d), 5; pp. 43-44.
Solutions |
| Wednesday 9/24/03 |
Chapter 4. Stability in a One-Component System. |
Read "Biologists Sort the Lessons of Fisheries Collapse," pp. 53-55; "New Study Provides some Good News for Fisheries," pp. 55-57; "Population Dynamics of Exploited Fish Stocks at Low Population Levels," pp. 57-62. | |
| Friday 9/26/03 |
Chapter 4. Stability in a One-Component System. | Chapter 3. Exercises 1, 2, 3, 4; pp. 62-63.
Solutions Read "Left Snails and Right Minds," pp. 23-31. |
|
| 3 | Monday 9/29/03 |
Chapter 5. Systems of First-Order Differential Equations. | Chapter 4. Exercises 1, 2, 4, 6; pp. 71-72.
Solutions Read "Wolves, Moose, and Tree Rings on Isle Royale," pp. 96-102. |
| Wednesday 10/1/03 |
Chapter 6. Phase Plane Analysis. | ||
| Friday 10/3/03 |
Chapter 6. Phase Plane Analysis.
dfield and pplane |
Chapter 5. Exercises 1; p. 86. Chapter 6. Exercises 1, 2, 3, 4 (a, c) 5; pp. 102-103. Solutions |
|
| 4 | Monday 10/6/03 |
Chapter 7. Definition of Vectors. | |
| Wednesday 10/8/03 |
Chapter 8. Equilibrium in Two-Component, Linear Systems. |
Chapter 7. Part 1: Exercise 1;
Part 2: Exercises 1, 2, 3, 4, 5, 6; pp. 125-126.
Solutions Read "Better Protection for the Ozone Layer," pp. 131-138. |
|
| Friday 10/10/03 |
Chapter 9. Stability in Nonlinear Systems. | Read "Hopes for the Future: Restoration Ecology and Conservation Biology," pp. 153-166. | |
| 5 | Monday 10/13/03 |
Columbus Day No Class |
|
| Wednesday 10/15/03 |
Chapter 10. Nonlinear Stability Revisited. | Chapter 8. Exercises 1, 2, 3, 4, 5, 7; pp. 138-139.
Chapter 9. Exercises 1, 2, 4, 5; pp. 145-146. Solutions |
|
| Friday 10/17/03 |
Chapter 11. Matrix Notation. | ||
| 6 | Monday 10/20/03 |
Chapter 12. Remarks about Australian Predators. |
Chapter 10. Exercises 1, 3, 4; p. 172.
Chapter 11. Exercises 1, 2, 3, 4; p. 177. Solutions Read "The Case of the Missing Meat Eaters," pp. 181-184. |
| Wednesday 10/22/03 |
Chapter 12. Remarks about Australian Predators. | ||
| Friday 10/24/03 |
Chapter 13. Introduction to Advection. | Read "Malaria: Focus on Mosquito Genes," pp. 198-202. | |
| Sunday 10/26/03 |
Review Session for Midterm I at 7-8:30 PM in Science E. | Review guide for Midterm I. | |
| 7 | Monday 10/27/03 |
Chapter 13. Introduction to Advection. |
Chapter 13. Exercises 1, 3, 5, 6, 7, 8; pp. 213-215.
Solutions Read "Past Temperatures Directly from the Greenland Ice Sheet," pp. 238-245. |
| Tuesday 10/28/03 |
Midterm I - Chapters 1-12 at 7-9 PM in Science D. | ||
| Wednesday 10/29/03 |
Chapter 14. Diffusion Equations. | ||
| Friday 10/31/03 |
Chapter 15. Two Key Properties of the Advection and Diffusion Equations. |
Chapter 14. Exercises 1, 3, 5, 6, 8, 10 (a, c, e), 12 (a, c, e);
pp. 224-225.
Solutions Read "Fishing for Answers: Deep Trawls Leave Destruction in Their Wake---But for How Long?" pp. 255-257. |
|
| 8 | Monday 11/3/03 |
Chapter 16. The No-Trawling Zone. | Chapter 15. Exercises 1 (a, c), 2 (a, c); p. 245.
Solutions |
| Wednesday 11/5/03 |
Chapter 17. Separation of Variables. | Chapter 16. Exercises 1, 3 (a, c), 4 (a, c, e); p. 258.
Solutions |
|
| Friday 11/7/03 |
Chapter 17. Separation of Variables. | ||
| 9 | Monday 11/10/03 |
Chapter 18. The Diffusion Equation and Pattern Formation. | Read "Dynamics of Stripe Formation," pp. 280-282; "A Reaction-Diffusion Wave on the Skin of the Marine Angelfish," pp. 282-286; "Letters to Nature," pp. 286-288. |
| Wednesday 11/12/03 |
Chapter 18. The Diffusion Equation and Pattern Formation. | Chapter 17. Exercises 1 (a, c, e, f), 2, 3; pp. 264-265.
Solutions |
|
| Friday 11/14/03 |
Chapter 19. Stability Criterion. |
Read "Direct and Continuous Assessment by Cells of Their Position
in a Morphogen Gradient," pp. 296-300; "Activin Signalling and Response to a Morphogen Gradient," pp. 300-309. |
|
| 10 | Monday 11/17/03 |
Chapter 19. Stability Criterion. | Chapter 18. Exercises 1, 2, 3, 5 (a, c); pp. 309-310.
Solutions |
| Wednesday 11/19/03 |
Chapter 20. Summary of Advection/Diffusion. | Chapter 19. Exercises 1, 2, 3, 4, 9; pp. 316-317.
Solutions |
|
| Friday 11/21/03 |
Chapter 21. Traveling Waves. | Read "Hantavirus Outbreak Yields to PCR," pp. 358-363; "US Braces for Hantavirus Outbreak," pp. 363-364. |
|
| 11 | Monday 11/24/03 |
Chapter 21. Traveling Waves. | |
| Wednesday 11/26/03 |
Chapter 22. Traveling Wave Velocities. |
Chapter 20. Exercises 1, 2; pp. 349-350. Chapter 21. Exercises 1, 2 (for Exercise 1 (a, c)), 3; p. 364. Solutions |
|
| Friday 11/28 |
Thanksgiving Recess No Class |
||
| 12 | Monday 12/1/03 |
Chapter 23. Periodic Solutions. | Read "Snowshoe Hare Populations: Squeezed from Below and Above," pp. 382-385; "Impact of Food and Predation on the Snowshoe Hare Cycle," pp. 385-391. |
| Wednesday 12/3/03 |
Chapter 24. Fast and Slow. |
Chapter 22. Exercises 1, 2, 3, 4; p. 374.
Solutions Preliminary Project Proposal Due Read "Disparate Rates of Molecular Evolution in Cospeciating Hosts and Parasites," pp. 401-410. | |
| Friday 12/5/03 |
Chapter 25. Estimating Elapsed Time. |
Chapter 23. Exercises 1 (a, c, e), 2 (a, c); pp. 391-392.
Solutions |
|
| Sunday 12/7/03 |
Review Session for Midterm II at 7-8:30 PM in Science E. | ||
| 13 | Monday 12/8/03 |
Chapter 26. Switches. |
Chapter 24. Exercises 1 (a, c), 2 (a, c); pp. 410-411.
Solutions Read "Thresholds in Development," pp. 421-428. |
| Tuesday 12/9/03 |
Midterm II - Chapters 13-25 at 7-9 PM in Science D. | ||
| Wednesday 12/10/03 |
Chapter 27. Testing for Periodicity. | ||
| Friday 12/12/03 |
Chapter 28. Causes of Chaos. |
Chapter 25. Exercises 1, 2, 5, 6; pp. 414-415.
Chapter 26. Exercises 1 (a, c), 2 (a, c), 3; pp. 428-429. Solutions |
|
| 14 | Monday 12/15/03 |
Chapter 28. Causes of Chaos. Course Evaluations. |
Chapter 27. Exercises 1, 2, 3, 4; p. 450.
Solutions |
Fall 2003
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Last modified: 12/17/2003
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