Assignments

Pre-Class Assignments

• PCA 1 due Tuesday, Jan 27:
  • Skim through the applications of section 1.1. Find one that interests you and come prepared to class ready to tell us about it.
  • Download SAGE onto your computer and play around with it some.
  • You'll need to remember Calculus: check out pages 1-3 of the Cheat Sheet (from Paul's online math notes) and try these problems.

• PCA 2 due Thursday, Jan 29:
  • Read Sections 1.2, 1.3. There's a lot of terminology here, so make yourself a list of definitions and bring it to class on Thursday.

• PCA 3 due Tuesday, Feb 3:
  • Read Section 2.1. Pay particular attention to the examples and come prepared with questions about these. Also, pick one or two of the exercises and come prepared to class having at least attempted (if not, completed) these problems. Finally, familiarize yourself with the statements of Theorems 2.1.1 and 2.1.2. We'll work through the proofs of these together in class.
  • Read Section 2.2. Approach the reading as you did section 2.1: come prepared with questions about the examples and the statements of the theorems, and also try a few problems.

• PCA 4 due Thursday, Feb 5:
  • Read Section 2.3.

• PCA 5 due Tuesday, Feb 10:
  • Read Section 2.4.

• PCA 6 due Thursday, Feb 12:
  • Read Section 2.5.

• PCA 7 due Tuesday, Feb 17:
  • Read Section 2.6.
  • Skim through a section from chapter *4*, and prepare an exercise to present to the class on Tuesday

• PCA 8 due Thursday, Feb 19
  • Sent via email

• PCA 9 due Tuesday, Feb 24
  • Read Section 5.2
  • Try exercise 5.2.2 and compare your solution to that found in the Student Solution Manual
  • Try exercise 5.2.22 (we'll complete this in class) and see if you can apply the method in the problem to exercise 5.2.24

• PCA 10 due Thursday, Feb 26
  • Read Section 5.3

• PCA 11 due Tuesday, Mar 3
  • Read Sections 5.4, 5.5

• PCA 12 due Thursday, Mar 5
  • Read Section 5.6

• PCA 13 due Thursday, Apr 2
  • Read Sections 7.1, 7.2
  • See email for problems to prepare.

• PCA 14 due Tuesday, Apr 7
  • Read Section 7.3

• PCA 15 due Thursday, Apr 9
  • Read Section 10.1

• PCA 16 due Tuesday, Apr 14
  • Read Section 10.2

• PCA 17 due Thursday, Apr 16
  • Read Section 10.4

• PCA 18 due Tuesday, Apr 21
  • Read Section 1.6 of Joyner-Hampton.
• Bring your computer to class Monday.

• PCA 19 due Thursday, Apr 23
  • Read Section 1.7.1 of Joyner-Hampton.
• Bring your computer to class Thursday.

Homework assignments

• Section 1.2: 3d, 5d
• Section 1.3: 7, 19
• Section 2.1: 7, 21, 27, 46

• Section 2.2: 23, 31
• Section 2.3: 7
• Section 2.4: 5, 29

• Section 2.5: 19
• Section 2.6: 19
• Section 5.1: 13
• Section 5.2: 7, 9, 29

• Section 5.4: 21, 25, 38
• Section 5.5: 11, 35

• Section 5.6: 7, 37, 38a
• Section 5.7: 5, 31

• Section 1.2: 2c
• Section 1.3: 10 (also, describe in words the limiting behavior of the solutions with initial values y(0)=-.4, y(0)=0, and y(0)=.4)
• Section 2.1: 4, 10, 18, 32
• 2.2: 2, 12, 28
• 2.3: 8
• 2.4: 8, 26
• 2.5: 8, 12, 30(b)
• 2.6: 12
• 5.1: 26, 30
• 5.2: 4, 6, 8, 14
• 5.4: 6, 16
• 5.5: 4, 24
• 5.6: 10, 26, 40
• 5.7: 16, 20, 38
• By Monday, March 23rd, send me an email and let me know which problems, if any, you are having trouble with. Ask a question. (Yes, this update email will count as part of the grade for the assignment.)

• Section 7.2: 5, 19, 27
• Section 7.3: 5 (take N=4 instead of 7), 30, 31a

• If you received a grade less than 90%, correct any problems which were marked incorrect and turn in, together with the exam.
• If you received a grade of 90% or better, do problem 6 on page 278 of Trench.

• Section 10.2: 1b
• Section 10.4: 1,3,42

• See email

• From Section 7.1: 1d, 16
• 7.2: 6
• 7.3: 4 (with N=5)
• 10.1: 2
• 10.2: 5a
• 10.4: 6