Math 307A, Winter 2007

Instructor: Gerald Folland. Office: Padelford C436. Email: folland@math.washington.edu

Office Hours: MoTuTh 2-3

Text: Elementary Differential Equations and Boundary Value Problems (8th edition), by Boyce and DiPrima. We will cover (most of) Chapters 1, 2, 3, and 6.

Exams, Homework, Grades: There will be two midterm exams and a final exam. The First Midterm will be Friday, January 26, covering the material on the first three homework assignments. The Second Midterm will be Friday, February 23, covering Chapter 3. The Final Exam will be Wednesday, March 14, 8:30-10:20 a.m. You can bring a page of notes and a non-graphing calculator, but not a graphic calculator, to each exam. (You won't really need a calculator at all.)

There will also be weekly homework assignments, which will be posted here. Course grades will be computed on the following basis: Homework 10%, Midterms 25% each, Final exam 40%.

Solutions to First Midterm Exam

Solutions to Second Midterm Exam. In the final answer to problem 2a, the term -2e^{-3t} was inadvertently omitted.

Assignments:

• Due Wednesday, January 10:
  • Section 1.1: 1, 3, 15, 16
  • Section 1.3: 1-4 (You don't have to hand these in; they're just to see if you understand the definitions.)
  • Section 2.1: 1, 3, 6, 13, 15, 19, 30
  • Section 2.2: 2, 4, 5
• Due Wednesday, January 17:
  • Section 2.2: 9, 12, 14, 26
  • Section 2.3: 1, 3, 8, 9, 13, 17
• Due Wednesday, January 24:
  • Section 2.4: 1, 2, 14, 15, 23
  • Section 2,5: 2, 3, 18, 22, 23
  • Misc. Problems on p.131: 1, 6, 8, 22, 24 (Note: These differential equations are all of the kinds we have studied earlier, though you may have to manipulate them a little to put them into a familiar form. Some of the other equations on this list are of types that we haven't considered, such as the "exact" equations discussed in section 2.6 and the "homogeneous" equations discussed on page 49.)
• Due Monday, February 5:
  • Section 3.1: 1, 3, 8, 9, 12, 21, 23
  • Section 3.2: 1, 5, 8, 9, 14
  • Section 3.3: None
  • Section 3.4: 1, 4, 7, 8, 12, 17, 19
• Due Wednesday, February 14:
  • Section 3.5: 2, 14, 16, 18
  • Section 3.6: 1, 2, 4, 7, 14, 17
  • Section 3.7: 1, 5, 9, 11, 13, 15
• Due Wednesday, February 21:
  • Section 3.8: 6, 8, 9, 11, 17
  • Section 3.9: 1, 5, 6, 7, 8, 11
• Due Friday, March 2:
  • Section 6.1: 1, 3, 7, 10, 15, 16
  • Section 6.2: 3, 5, 11, 12, 13, 14, 18, 21, 22, 28
• To be done by Friday, March 9 (but not handed in):
  • Section 6.3: 1, 2, 3, 7, 8, 9, 14, 15, 18, 19(a,b)
  • Section 6.4: 1, 2, 5, 9, 10, 11