Homework
1: Due in lecture on Friday January 20th
Sec
9.1: 20, 40
Sec
9.4: 30, 38
Sec
9.5: 39, 40
Sec
9.7: 8, 14, 29, 30, 43 (A vector field F is irrotational
if curl(F)=0 and F is incompressible if div(F)=0.)
Homework
2: Due in lecture on Friday January 27th
Sec
9.8: 17, 20, 21, 27
Sec
9.9: 5, 8, 24
Sec
9.10: 11, 20, 22, 31, 32
Homework
3: Due in lecture on Friday February 3rd
Sec
9.11: 27, 30, 34
Sec
9.12: 6, 9, 11, 18, 20, 21, 24
Sec
9.13: 6, 13, 20, 22, 32, 35, 38
Sec
9.15: 4, 7, 23, 24 (We won’t be covering triple integrals in lecture, but here
is some review to make sure you remember them.)
Homework
4: Due in lecture on Monday February 13th
Sec
9.12: 25, 26
Sec
9.14: 1, 6, 8, 10, 12, 14, 16
Problem
E1: Use Stokes’ theorem to prove Green’s theorem.
Homework
5: Due in lecture on Friday February 17th
Sec
9.16: 3, 5, 8, 14, 17, 18
Homework
6: Due in lecture on Friday February 24th
Sec
8.1: 11,18,20,28,36,37,39
Sec
8.2: 9,15,17,19
Sec
8.3: 5,6,8,12,13,15,16
Homework
7: Due in lecture on Friday March 2nd
Sec
8.4: 13, 14, 17, 18, 27, 28
Sec
8.5: 11, 12, 13, 14, 27, 28, 37, 38, 39
Sec
8.6: 16, 17, 21, 22, 26, 34, 38, 40, 41, 47, 48
Also
turn in the following problems:
Justify
statements 1 and 2 for arbitrary 2 by 2 matrices on slide 3 of the 2-22 lecture
notes.
Justify
statements 1 for arbitrary 2 by 2 matrices on slide 4 of the 2-22 lecture
notes.
Justify
statements 1, 2 and 4 on slide 5 of the 2-24 lecture notes.
Given
a constant k, find a 2 by 2 matrix with determinant equal to k.
Find
infinitely many distinct 2 by 2 matrices with determinant equal to 2.
Homework
8: Due in lecture on Friday March 16th
Sec
8.8: 11, 12, 19, 20, 24
Sec
8.12: 5, 6, 15, 18, 19, 35, 36, 37, 39, 40
Also
turn in the following problems:
1.
If
A3=I what can you say about the eigenvalues of A?
2.
If
A2=A what can you say about the eigenvalues of A?
Homework
9: Due in lecture on Monday March 26th
Sec
3.1: 1, 4, 7, 9, 10, 13, 15, 16, 18, 20, 23, 28, 31, 32, 36
Sec
3.3: 2, 5, 10, 13, 16, 21, 24, 30, 33, 37, 52
Homework
10: Due in lecture on Friday March 30th
Sec
3.4: 3, 5, 8, 10, 17, 19, 26, 32, 44
Sec
3.8: 3, 6, 9, 12, 15
Homework
11: Due in lecture on Friday April 6th
See
Email for Problems
Homework
12: Due in lecture on Friday April 13th
Sec
10.2: 1, 6, 14, 18, 19, 22, 25, 32, 33, 38, 42, 48, 51
For
problems 18, 32 and 48 feel free to print out the phase portrait using pplane rather than sketching it by hand. For problem 51,
you need NOT include the phase portraits, only answer the questions.
Homework
13: Due in Lecture on Friday April 20th
Sec.
10.3: 5, 8, 10
Sec.
5.1: 9, 10, 11, 12, 13, 15, 16, 17, 18, 19
Homework
14: Will not be collected, but it is a VERY good idea to complete this assignment.
Sec.
5.1: 25, 31, 35
Sec.
5.2: 3, 7, 17, 19, 25, 27 (you need not find the second linearly independent
solution), 33.