Homework Assignments

Homework # 0: Read the Syllabus.

Homework # 1. Due Wed 09/10/08. Section 1.1 #12, Section 1.2 #1, 2, 7, 8. Section 1.3 #8, 10. Section 1.4 #6a. For the exercises in section 1.3 first attempt #10. Then solve #8 using #10.

Answers for Homework 1

Homework # 2. Due Wed 09/17/08. Section 1.5 #1, #4 part a) and b). Section 1.6 #6. Section 2.1 #7, #8.

Answers for Homework 2

Homework # 3. Due Wed 10/01/08. Section 2.2 #1, #2. Section 2.3 #4. Section 2.4 #8 and #15. For part a) of #4 in section 2.3 use the strong maximum/minimum principle which asserts that that the maximum or the minimum value of the function that satisfies the diffusion equation cannot be assumed anywhere inside the rectangle, but only on the bottom or the lateral sides (unless u is constant).

Answers for Homework 3

Exam 1 coverage. Sections 1.1-1.6. Sections 2.1-2.4.

Homework # 4. Due Wed 10/07/08. Section 3.1 #2, #3. Section 3.2 #1. Section 3.3 #1.

Answers for Homework 4

Homework # 5. Due Wed 10/22/08. Section 3.4 #1, #6. Section 4.1 #4. Section 4.2 #1 and #2.

Exam 2 coverage. Sections 3.1-3.5. Sections 4.1-4.2.

Answers for Homework 5

Homework # 6. Due Wed 10/29/08. Section 5.1 #2, #5. Section 5.2 #4. Section 5.3 #11, part a), #12 and #13.

Answers for Homework 6

Homework # 7. Due Wed 11/05/08. Section 5.4 #3, #9, #10, #12.

Answers for Homework 7

Homework # 8. Due Wed 11/19/08. Section 5.4 #7. Section 5.5 #2, 3, 5, 7.

Answers for Homework 8

Exam 3 coverage. Sections 4.1-4.2. Sections 5.1-5.5 (exclude Gibbs phenomenon).

Homework # 9. Due Wed 12/03/08. Section 6.1 #2, 4, 9. Section 6.3 #1.

Answers for Homework 9

Homework # 10. Due Wed 12/10/08. Section 7.1 #2, 5. Section 7.2 #2, 3. Section 7.3 #2

Answers for Homework 10

Final Exam Coverage. Everything that we covered in the first 3 exams plus Sections 6.1, 6.3, 7.1, 7.2, 7.3.