HW 1: Due Wed. Feb. 9
Read Chapter 1
pg 16: 11
pg 37: 1, 3, 5
pg 58: 16, 17, 18, 21
pg 71: 1,5
pg 124: 1, 3, 9, 17, 19, 21, 22, 23, 25, 28, 31, 35, 37
pg 150: 3, 15, 18.
HW 2: Due Wed. Feb. 16
Read Sections 3.1 and 3.2
p 189: 1- 3, 7, 9, 25, 26, 30
(Hint for problem 26: The angle formed by the paths of the balls can be computed by using a dot product and the tangent vectors.)
Do these additional problems (Get started early!)
HW 3: Due Wed. Feb. 23
Read Section 3.2
pg 206: 1- 3, 8, 11, 12, 13, 15, 23, 26, 34a
Do these additional problems
HW 4: Due Wed. March 2
Read Sections 3.1 (pp 181 - 188), 3.3, and 6.1
pg 379: 1 - 9, 11, 25
pg 213: 1 - 5, 9, 13, 20
Remember that you can use Grapher to draw vector fields!
HW 5: Due Wed. March 9
Read Sections 3.4, 6.1, and 6.3 (except pg 393-394)
pg 213: 23, 25
pg 221: 1, 3, 7, 8, 12, 28ab
pg 379: 16
pg 399: (do not use curl for any of these problems) 1, 2, 7
HW 6: Due Wed. March 30
Do these problems about conservative vector fields
HW 7: Due Fri, April 8
Read Sections 6.2 and 6.3 (esp. pg 393-394)
pg 388: 1, 3, 7, 8, 10, 19, 24.
pg 399: Revisit problem 21 and ask yourself how you could now do it differently. You don't need to turn this in.
pg 399: Pick two problems of your choice from 3-13 and use curl to determine if the field is conservative. You don't have to find the potential function.
pg 402: Read the italicized text and read problems 31 - 33. Do problem 32 (you need to assume the function is harmonic).
Do these additional problems
HW 8: Due Fri. April 15
Read Sections 7.1 and 7.2
p 417: 1, 5, 10, 13c, 20, 23
p 438: 1, 2b
Do these additional problems
HW 9: Due Fri. May 6
Read Section 7.3
p 453: 3, 7, 16.
You are of course welcome to do other problems for practice.