# Math 19 - Assignments

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Week Date Topic Homework and Reading
(due at the
beginning of class)
1 Monday
9/19/05
Course Orientation.
Notes

Wednesday
9/21/05
Chapter 1. Introduction.
Notes

Friday
9/23/05
Chapter 2. Exponential Growth.
Notes
Read "HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time," pp. 15-22.
2 Monday
9/26/05
Chapter 3. Introduction to Differential Equations.
Notes
Chapter 2. Exercises 1, 2, 4 (a, b, c, d), 5; pp. 43-44.
Solutions
Wednesday
9/28/05
Chapter 4. Stability in a One-Component System.
Notes
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
9/30/05
Chapter 4. Stability in a One-Component System.
Notes
Chapter 3. Exercises 1, 2, 3, 4; pp. 62-63.
Solutions
Read "Left Snails and Right Minds,"
pp. 23-31.
3 Monday
10/3/05
Chapter 5. Systems of First-Order Differential Equations.
Notes
Chapter 4. Exercises 1, 2, 4, 6; pp. 71-72.
Solutions
Read "Wolves, Moose, and Tree Rings on Isle Royale," pp. 96-102.
Wednesday
10/5/05
Chapter 6. Phase Plane Analysis.
Notes

Friday
10/7/05
Chapter 6. Phase Plane Analysis.
dfield and pplane
Notes
Chapter 5. Exercises 1; p. 86.
Chapter 6. Exercises 1, 2, 3, 4 (a, c) 5; pp. 102-103.
Solutions
4 Monday
10/10/05
Columbus Day
No Class

Wednesday
10/12/05
Chapter 7. Definition of Vectors.
Notes

Friday
10/14/05
Chapter 8. Equilibrium in Two-Component, Linear Systems.
Notes
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.
5 Monday
10/17/05
Chapter 9. Stability in Nonlinear Systems.
Notes
Read "Hopes for the Future: Restoration Ecology and Conservation,"
pp. 153-166.
Wednesday
10/19/05
Chapter 9. Stability in Nonlinear Systems.
Notes

Friday
10/21/05
Chapter 10. Nonlinear Stability Revisited.
Notes
Chapter 8. Exercises 1, 2, 3, 4, 5, 7; pp. 138-139.
Chapter 9. Exercises 1, 2, 4, 5;
pp. 145-146.
Solutions
6 Monday
10/24/05
Chapter 11. Matrix Notation.
Notes

- Monday
10/24/05
Review Session for Midterm I
Science Center A

Wednesday
10/26/05
Chapter 12. Remarks about Australian Predators.
Notes
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.
Thursday
10/27/05
Midterm I
Science Center A

Friday
10/28/05
Notes
Notes
Read "Malaria: Focus on Mosquito Genes," pp. 198-202.
7 Monday
10/31/05
Chapter 14. Diffusion Equations.
Notes
Read "Past Temperatures Directly from the Greenland Ice Sheet," pp. 238-245.
Wednesday
11/2/05
Chapter 15. Two Key Properties of the Advection and Diffusion Equations.
Notes

Friday
11/5/05
Chapter 16. The No-Trawling Zone.
Notes
Chapter 13. Exercises 1, 3, 5, 6, 7, 8; pp. 213-215.
Solutions
8 Monday
11/7/05
Chapter 17. Separation of Variables.
Notes
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.
Wednesday
11/9/05
Chapter 17. Separation of Variables.
Notes
Chapter 15. Exercises 1 (a, c), 2 (a, c); p. 245.
Solutions
Friday
11/11/05
Veteran's Day
No Class

9 Monday
11/14/05
Chapter 18. The Diffusion Equation and Pattern Formation
Notes
Chapter 16. Exercises 1, 3 (a, c), 4 (a, c, e); p. 258.
Solutions
Wednesday
11/16/05
Chapter 18. The Diffusion Equation and Pattern Formation.
Notes
Read "Dynamics of Stripe Formation," pp. 280- "A Reaction-Diffusion Wave on the Skin of the Marine Angelfish," pp. 282-286;
"Letters to Nature," pp. 286-288.
Friday
11/18/05
Chapter 19. Stability Criterion.
Notes
Chapter 17. Exercises 1 (a, c, e, f), 2, 3; pp. 264-265.
Solutions
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
11/21/05
Chapter 19. Stability Criterion.
Notes
Chapter 18. Exercises 1, 2, 3, 5 (a, c); pp. 309-310.
Solutions
Wednesday
11/23/05
Notes
Chapter 19. Exercises 1, 2, 3, 4, 9 (a, c); pp. 316-317.
Solutions
Friday
11/25/05
Thanksgiving Recess
No Class

11 Monday
11/28/05
Chapter 21. Traveling Waves.
Notes
Read "Hantavirus Outbreak Yields to PCR," pp. 358-363;
"US Braces for Hantavirus Outbreak," pp. 363-364.
Wednesday
11/30/04
Chapter 21. Traveling Waves.
Notes
Chapter 20. Exercises 1, 2;
pp. 349-350.
Solutions
Friday
12/2/05
Chapter 22. Traveling Wave Velocities.
Notes

12 Monday
12/5/05
Chapter 23. Periodic Solutions.
Notes
Chapter 21. Exercises 1, 2 (for Exercise 1 (a, c)), 3; p. 364.
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.
Preliminary Proposal for Final Project Due
Wednesday
12/7/05
Chapter 24. Fast and Slow.
Notes
Chapter 22. Exercises 1, 2, 3, 4;
p. 374.
Solutions
Read "Disparate Rates of Molecular Evolution in Cospeciating Hosts and Parasites," pp. 401-410.
Friday
12/9/05
Chapter 24. Fast and Slow.
Notes
Chapter 23. Exercises 1 (a, c, e), 2 (a, c); pp. 391-392.
Solutions
13 Monday
12/12/05
Chapter 25. Estimating Elapsed Time.
Notes
Chapter 24. Exercises 1 (a, c), 2 (a, c); pp. 410-411.
Solutions
Read "Thresholds in Development," pp. 421-428.
- Monday
12/12/05
Review Session for Midterm II
Science Center A

Wednesday
12/14/05
Chapter 26. Switches.
Notes

Thursday
12/15/05
Midterm II
Science Center A

Friday
12/16/05
Chapter 27. Testing for Periodicity.
Notes

14 Monday
12/19/05
Chapter 28. Causes of Chaos.
Notes
Chapter 25. Exercises 1, 2, 5, 6; pp. 414-415.
Chapter 26. Exercises 1 (a, c), 2 (a, c), 3; pp. 428-429.
Solutions
Monday
1/9/06
Chapter 27. Exercises 1, 2; p. 450.
Friday
1/13/06
Final Project Due

January 2, 2006

URL: http://www.courses.fas.harvard.edu/~math19/assignments/