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Week of September 18 through September 20, 2002.
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Chapter 1. Introduction.
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Chapter 2. Exponential Growth.
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Week of September 23 through September 27, 2002.
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Chapter 3. Introduction to Differential Equations.
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Chapter 4. Stability in a One-Component System.
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Chapter 5. Systems of First-Order Differential Equations.
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Homework Due on Monday, September 23, 2002.
Exercises 1 (a, b), 2 (a, c), 4 (a, c, d), 5; pp. 43-44 (Chapter 2).
- Solutions
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Homework Due on Friday, September 27, 2002.
Exercises 1, 2; pp. 62-63 (Chapter 3).
Exercises 1 (a, c, d), 2 (a, c), 6; pp. 71-72 (Chapter 4).
- Solutions
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Week of September 30 through October 4, 2002.
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Chapter 6. Phase Plane Analysis.
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Chapter 7. Definition of Vectors.
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Chapter 8. Equilibrium in Two-Component, Linear Systems.
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Homework due on Wednesday, October 2, 2002.
Exercises 1; p. 86 (Chapter 5).
Exercises 1 (a, c), 2 (a, c), 3 (a, c), 4 (a, c) 5; pp. 102-103 (Chapter 6).
- Solutions
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Homework Due on Friday, October 4, 2002.
Part 1: Exercise 1.
Part 2:
Exercises 1, 5, 6; pp. 125-126 (Chapter 7).
- Solutions
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Week of October 7 through October 11, 2002.
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Chapter 9. Stability in Nonlinear Systems.
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Chapter 10. Nonlinear Stability Revisited.
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Chapter 11. Matrix Notation.
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Homework due on Monday, October 7, 2002.
Exercises 1, 2, 6, 7 (for Exercise 1); pp. 138-139 (Chapter 8).
- Solutions
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Week of October 16 through October 18, 2002. (October 14 is Columbus Day Holiday - no classes)
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Chapter 11. Matrix Notation.
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Chapter 12. Remarks about Australian Predators.
Be sure to read "The Case of the Missing Meat Eaters" in the text (pp. 181-184) before class.
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Homework due on Wednesday, October 16, 2002.
Exercises 1, 2, 4 (a, c), 5 (for Exercise 4 (a, c)); pp. 145-146 (Chapter 9).
Exercises 1, 3, 4 (a, c, e); p. 172 (Chapter 10).
- Solutions
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Homework due on Friday, October 18, 2002.
Exercises 1, 2, 3, 4; p. 177 (Chapter 11).
- Solutions
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Week of October 21 through October 25, 2002.
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Chapter 13. Introduction to Advection.
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October 23, 2002 - Midterm Exam on Chapters 1-12
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Chapter 14. Diffusion Equations.
Be sure to read "Malaria: Focus on Mosquito Genes" in the text
(pp. 198-202) before class.
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Homework due on Monday, October 21, 2002.
Exercises 1; p. 191 (Chapter 12).
- Solutions
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Week of October 28 through November 1, 2002.
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Chapter 15. Two Key Properties of the Advection and Diffusion Equations.
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Chapter 16. The No-Trawling Zone.
Be sure to read "Fishing for Answers: Deep Trawls Leave Destruction
in Their Wake---But for How Long?" in the text
(pp. 255-257) before class.
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Homework due on Wednesday, October 30, 2002.
Exercises 1, 3, 5, 6, 7, 8; pp. 213-215 (Chapter 13).
Exercises 1, 3, 5, 6, 8, 10 (a, c, e), 12 (a, c, e); pp. 224-225 (Chapter 14).
- Solutions
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Homework due on Friday, November 1, 2002.
Exercises 1 (a, c), 2 (a, c); p. 245 (Chapter 15).
- Solutions
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Week of November 4 through November 8, 2002.
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Chapter 17. Separation of Variables.
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Chapter 18. The Diffusion Equation and Pattern Formation.
Be sure to read "Dynamics of Stripe Formation?" (pp. 280-282) and
"A Reaction-Diffusion Wave on the Skin of the Marine Angel Fish
Pomocanthus" (pp. 282-286) before Friday's class.
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Homework due on Wednesday, November 6, 2002.
Exercises 1, 3 (a, c), 4 (a, c, e); p. 258 (Chapter 16).
- Solutions
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Week of November 13 through November 15, 2002. (November 11 is Veteran's Day Holiday - no classes)
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Chapter 18. The Diffusion Equation and Pattern Formation.
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Chapter 19. Stability Criterion.
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Homework due on Wednesday, November 13, 2002.
Exercises 1 (a, c, e, f), 2, 3; pp. 264-265 (Chapter 17).
- Solutions
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Week of November 18 through November 22, 2002.
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Chapter 19. Stability Criterion.
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Chapter 20. Summary of Advection/Diffusion.
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Chapter 21. Traveling Waves.
Be sure to read "Hantavirus Outbreak Yields to PCR" in the text
(pp. 358-363) and "US Braces for Hantavirus Outbreak" in the text
(pp. 363-364) before Friday's class.
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Homework due on Monday, November 18, 2002.
Exercises 1, 2, 3, 5 (a, c); pp. 309-310 (Chapter 18).
- Solutions
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Homework due on Wednesday, November 20.
Exercises 1, 2, 3, 4, 9; pp. 316-317 (Chapter 19).
- Solutions
Week of November 25 through November 27, 2002.
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November 25, 2002 - Midterm Exam on Chapters 13-20.
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Chapter 22. Traveling Wave Velocities.
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Homework due on Wednesday, November 27, 2002.
Exercises 1, 2; pp. 349-350 (Chapter 20).
- Solutions
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Thanksgiving Break - November 28 through December 1, 2002.
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Week of December 2 through December 6, 2002.
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Chapter 23. Periodic Solutions.
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Chapter 24. Fast and Slow.
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Homework due Wednesday, December 4, 2002.
Exercises 1 (a, c), 2 (for Exercise 1 (a, c)), 3; p. 364 (Chapter 21).
- Solutions
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Homework due Friday, December 6, 2002.
Exercises 1, 2, 3, 4; p. 374 (Chapter 22).
- Solutions
You should also hand in a short summary (a single typewritten page) of
what you plan to do for your final project.
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Week of December 9 through December 13, 2002.
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Chapter 25. Estimating Elapsed Time.
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Chapter 26. Switches.
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Chapter 27. Testing for Periodicity.
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Homework due Monday, December 9, 2002.
Exercises 1 (a, c, e), 2 (a, c); pp. 391-392 (Chapter 23).
Exercises 1 (a, c), 2 (a, c); pp. 410-411 (Chapter 24).
- Solutions
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Homework due Friday, December 13, 2002.
Exercises 1, 2, 5, 6; pp. 414-415 (Chapter 25).
- Solutions
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Week of December 16 through December 18, 2002.
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Chapter 28. Causes of Chaos.
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Homework due Monday, December 16, 2002.
Exercises 1 (a, c), 2 (a, c), 3; pp. 428-429 (Chapter 26).- Solutions
Exercises 1, 2, 3, 4; p. 450 (Chapter 27). - Solutions
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Reading Period - January 2 through January 12, 2003.
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Final Project is due on Friday, January 10, 2003.
- Project Description
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