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Math 20D Fall 2008
Homework Assignments
Note: These homework assignments are subject to revision during the
term.
Please check this page regularly for updates.
Updated 10/13/08
Homework 1
Due Friday, October 3
- Section 1.1: 7, 9, 15-20, 22, 23, 24
- Section 1.2: 4, 7, 12, 16, 19
- Section 1.3: 7, 12, 14, 15, 19
- Section 2.1: 14, 15, 22bc, 31
Homework 2
Due Friday, October 10
- Section 2.2: 3, 4, 11ac, 16ac, 32ab
- Section 2.3: 3, 8, 12, 16
- Section 2.4: 2, 4, 14, 15, 25
- Section 2.5: 2, 12, 13, 22
Homework 3
Due Friday, October 17
- Section 2.6: 4, 6, 8, 10
- Section 3.1: 4, 12, 17, 20, 28
- Section 3.2: 3, 10, 13, 14, 25
- Section 3.3: 2, 10, 15, 23
Homework 4
Due Friday, October 31
- Section 3.4: 10, 14, 20, 25, 29
- Section 3.5: 8, 13, 16, 23
- Section 3.6: :4, 5, 6, 7, 14, 15, 18
Homework 5
Due Friday, November 7
- Section 3.7: 7, 9, 10, 17, 19.
- Section 7.1: 3, 5, 7, 8, 22.
- Section 7.2: 1, 10, 21c, 23, 24.
- Section 7.3: 7, 14, 16, 17, 19.
Clarification for problem 14, section
7.3. First, show that for any given
value of t, the
vectors x_1(t) and x_2(t) are linearly dependent. Next, show that the
functions x_1(t) and x_2(t) are not dependent. Here, we are
considering x_1(t) and x_2(t) as vector valued functions, and linear
independence of functions is defined on page 153 of the text.
Homework 6
Due Friday, November 14
- Section 7.4: 6a, 7a.
- Section 7.5: 4, 5, 9, 15. (For 4, 5, draw the
trajectories, but you don't need to draw the direction fields separately.)
- Section 7.6: 3, 5, 9, 10. (For 5, draw the
trajectories, but you don't need to draw the direction field separately. You do not
need to draw the trajectories for problem 3.)
- Section 7.8: 2, 3, 7, 9. (For 3, draw the
trajectories, but you don't need to draw the direction field separately.
You do not need to draw the trajectory for problem 2.)
Homework 7
Due Friday, December 5
- Section 7.7: 4.
- Section 7.9: 3, 4, 7. (Problem 3 is extra credit.)
- Section 5.1: 5, 9, 14, 25.
- Section 5.2: 1, 4, 8.
- Section 6.1: 3, 6, 7, 15.
- Section 6.2: 4, 10, 11, 20, 23.
To get more practice with step functions you
can solve the following problems (don't hand them in):
- Section 6.3: 4, 10, 12, 14, 16
- Section 6.4: 3, 5, 16ab