"You see this little hole? This moth's just about to emerge. It's in there right now, struggling. It's digging it's way through the thick hide of the cocoon. Now, I could help it - take my knife, gently widen the opening, and the moth would be free - but it would be too weak to survive. Struggle is nature's way of strengthening it."

--Locke (

Course Syllabus

Homework 2: Section 2.1: #31. Section 2.2: #16-20, 35. Section 2.3: #2, 3, 10, 12, 18, 19. Due Friday, August 29th at 12:20 pm. For #31, use the isoclines method to plot the curves (not in the book; to be done in class on Wednesday). You don't need it, but the general solution is y(t)=3/(1+Ce^(-3t)). Write a sentence or two of how this relates to population dynamics; e.g., what it might be a model for and why.

Homework 3: Section 2.3: #8. Section 2.4: #1-6, 14-16, 18-21, 29. Additionally, use the isocline method to sketch the slope fields for #1, 2, and 4. Due Monday, September 1st 2008 at 4pm.

Homework 4: Section 2.4: #36-44. Section 2.5: #1-4. Due Friday, September 5th 2008 at 4pm.

Homework 5: Due Tuesday, September 9th 2008 at 4pm.

Homework 6: Section 3.3: #1, 2. Section 6.1: #1, 2, 6. Section 4.1: #1-8. Due Friday, September 12th 2008 at 4pm.

Homework 7: Section 4.1: #10-12, 13, 16-18, 22, 23, 26, 28, 30. Due Tuesday, September 16th 2008, at 4pm.

Homework 8: Section 4.3: #1-4, 9-14, 17-20, 25-28, 37, 38. Section 4.2: 1-4, 8. Due Friday, September 19th 2008, at 4pm.

Homework 9: Section 2.2: #27, 34. Section 2.3: #4. Section 2.4: #8, 17, 33, 34 (Also, sketch the slope field using isoclines for 33 & 34). Section 2.5: #5. Section 2.9: #18, 30, 31 (For 30 & 31, "qualitative analysis" means "don't actually do the math"!). Section 3.1: #10. Section 4.1: #24, 27. Section 4.3: #32-34. Section 4.4: #1, 2, 7, 8. Section 6.1: #3, 4. Due Wednesday, September 24th, at 4pm.

Homework 10: Section 4.5: #9, 18, 20, 22-24, 38, 40. Section 4.7: #2, 4, 6, 7. Due Tuesday, September 30th, 2008 at 4pm.

Homework 11: Section 5.1.

#2, 4, 6, 8, 10 (compute the integrals on these)

#15, 17, 19, 21, 23 (use the table to compute these)

#26, 28, 29.

Due Friday, October 3 at 4pm.

Homework 12: Section 5.2 #22, 24, 34, 36, 38, 40. Section 5.3 #2-5, 8, 16, 22, 36. Section 5.4 #10, 12 Due Monday October 6th at 4pm.

Homework 13: Section 5.4 #4, 20. Section 5.5 #2, 4-6, 9, 13, 14, 16, 18, 20. Due Friday October 10th at 4pm.

Homework 14: Due Friday, October 17th 2008 at 4pm.

Homework 15: Due Tuesday, October 21st 2008 at 4pm.

Homework 16: Due Friday, October 24th 2008 at 4pm.

Homework 17: Due Friday, October 31th 2008 at 4pm.

Homework 18: Due Wednesday, November 5th 2008 at 4pm.

Homework 19: Due Friday November 7th 2008 at 4pm.

Homework 20: Due Wednesday November 12th 2008 at 4pm.

Homework 21: Due Friday November 14th 2008 at 4pm.

Homework 22: Due Thursday November 20th 2008, in class.

Homework 23: Due Friday, December 5th 2008, in class.