Math 33, Spring 2006: Homeworks, Week: 1 2 3 4 5

Homeworks will be due in each Wednesday at the start of class (or to my office beforehand).
Please note that late homework will not be accepted.

Homeworks must be:

• Written up neatly and carefully on 8.5 x 11 paper.
• Ordered so that the grader can easily find all solutions.
• Stapled if there is more than one sheet.
• Clearly marked with your name.

It is advised that you work in groups when solving the homework problems. However, you should write up the final versions individually to ensure that you understand the concepts involved.

Week 9: recommended problems

• Section 5.2: problem 1
• Section 4.3: problem 5
• Section 4.5: problem 3

Week 8: due Wed 5/24

• Section 4.2: problem 3
• Section 4.3: problem 6
• Section 4.4: problem 3

Week 7: due Wed 5/17

• Section 4.1: problem 4 (use symmetry)
• Section 4.2: problem 2, 4
• Section 4.3: problem 2

Week 6: due Wed 5/10

• Section 3.3: problems 1, 2, 3
• Section 3.4: problems 3, 4, 7

Week 5: due Wed 5/3

• Section 2.4: problems 4, 6
• Section 2.7: problems 13
• In 2.4: 6 feel free to ignore the hint, but before you start computing think about why it would be reasonable to assume the initial temperature g(x)=T_0.
• 2.7: 13 is using the term dispersion in a different sense than that of lecture.

Week 4: due Wed 4/26

• Problems
• Section 2.1: problems 1, 2
• Section 2.2: problems 5
• Read sections 2.1-2.3: (section 2.1 outlines an alternative construction for the Green's function of the Diffusion Equation)

Week 3: due Wed 4/19

• Find fundamental solutions for the operators D^2-2D+1, D^3-D and (D+1)^4 using any method you like.
• Section 1.2: problems 2, 6, 8
• Section 1.3: problems 5, 6, 7

Week 2: due Wed 4/12

• If you haven't already, take the MAPLE quick tour (help menu: introduction)
• Read sections 2.6 and 2.7 (we'll cover PDE examples again soon)
• Do problems: 2.7: 2 and 3
• Problems