Starred problems have solutions in the back of the book. You do not have to turn them in, but you may need to look at them in order to understand the subsequent problems.

Homework # 1: (due January 26)   

Chapter 1, Page 7, exercises 1, 2, 5. For extra credit, do the exploration on page 8.

Homework # 2: (due February 2)
Section 2.1, Page 13, #2, 4, 6, 8, 10.
Section 2.2, Page 20, #8, 10, 12.
Section 2.3, Page 23 # 7, 9
Section 2.4, Page 28 # 3, 8, 12

Homework #3: (due February 9)
Section 3.1, page 42, #6
Exploration on page 43: Steps 1-10 (you can skip 11)
Section 3.2, Page 47 #7*, 9, 10*, 11
Section 3.3, Page 50 #1*, 2, 6

Homework #4 (due February 16)
Section 3.3, Page 50 #7, 8
Section 3.4, Page 53, #4*
Section 3.5, Page 56, #2, 4, 7

Homework #5 (due February 23)
Section 4.1   Page 59, #2*, 3, 4*, 6, 7*
Section 4.2   Page 61, #1*, 3, 5*
Section 4.3   Page 67, #1, 4, 6*, 9, 11

Homework #6 (due March 2)
Section 4.4   Page 71, #3, 6. Also do steps 1-4 of the exploration
Section 4.5   Page 76, #1, 2, 6, 8

Homework #7 (due March 9)
Section 4.6   Page 81, #3, 4, 6, 7, 9, 11
Section 4.8   Page 89, #1*, 3, 5, 8, 9

Homework #8 (due March 23)
Section 4.9   Page 95, #21
Section 5.1   Page 102, #2, 4, 7, 9*, 10
Section 5.2   Page 107, #2, 3, 7, 8

Homework #9 (due March 30)
Section 5.3   Page 115, #2, 3, 5
Section 5.4   Page 119, #1*, 2, 4
Exploration on pages 119-120: Steps 1-3. This is what Professor Uhlenbeck was driving at in her lecture. (Steps 4 and 5 are also interesting and you might give them a shot, but don't turn them in. The point is that you can diagonalize a matrix by finding the roots of its characteristic polynomial, but you can also do the reverse: find the roots of a polynomial by diagonalizing its companion matrix. It turns out that this is the most efficient way to find all the roots of a high-order polynomial!)
Section 5.5   Page 125, #2, 5, 7

Homework #10 (due April 5)
Section 5.7   Page 142, #2, 4, 13
Section 6.1   Page 149, #7, 8
Section 6.2   Page 151, #4, 7
Section 6.3   Page 156, #1*, 2, 4, 6*, 7

Homework #11 (due April 12)
Section 6.4   Page 161, #2
Section 6.5   Page 166, #7, 8, 11
Section 6.7   Page 175, #3, 4
Exploration after section 6.7 (page 176): all 5 parts.

Homework #12 (due April 19)
Section 6.9   Page 186, #1, 2
Exploration after 6.9 (page 188), parts 1 and 5. (The whole exploration is recommended, but only turn in parts 1 and 5.)
Section 7.2   Page 199, #1, 3, 4
Section 7.3   Page 206, #6* (You don't have to turn this in, but try working it, and then look at the solution in the back of the book)

Homework #13 (due FRIDAY, May 1)
Section 7.4   Page 213, #10, 12*, 13, 14
Section 7.5   Page 219, #3*, 4
Section 8.1   Page 227, #1, 3, 5

Homework #14 (due FRIDAY, May 8)
Section 8.2   Page 232, #7*,8
Section 8.3   Page 235, #1
Section 8.4   Page 241, #2*, 3, 4
Section 8.5   Page 250, #14, 15, 17, 22
(The section 8.7 problems have been canceled.)