# Math 311, Section 002, Vector Analysis, Spring 2010

## General Information

Instructor: Matthew Blair
Course Web Page: http://www.math.unm.edu/~blair/math311.html
Office: Humanities 443
Office Hours: Wednesday 3:00-5:00 pm, and by appointment.

Text: Introduction to Vector Analysis, Seventh Edition, by Harry F. Davis and Arthur David Snider.

Meeting times/location: Monday, Wednesday, and Friday at 12 pm, Dane Smith Hall 229 .

Course Syllabus (in .pdf format)

Announcements

February 19: A practice exam and solutions are now up for midterm 1 Practice Exam Solutions

March 4: Solutions to the first hour exam can be found here

April 1: A practice exam and solutions are now up for midterm 2 Practice Exam Solutions

April 11: Solutions to the second hour exam can be found here

April 26: Practice questions for the last hour exam can be found here

May 1: Solutions to the practice questions are now available here

Homework

Hand in all problems with a "*" for a grade. Do the others on your own, but do not hand them in.

Assignment #1--Due Monday, January 25

1.5: 4, 5, 6*, 12*, 13, 15, 16, 20*
1.7: 1, 4*, 5, 7*, 8*, 9, 12, 13, 16-24, 26

Assignment #2--Due Friday, January 29

1.8: 1, 3, 7*, 11, 12, 13, 18*
1.9: 3, 5, 11, 12a,b*,c, 13*, 20*
1.10: 3*, 5, 11*

Assignment #3--Due Friday, February 5

1.12: 2*, 5, 11*, 12*, 13, 19, 20, 21*, 26
1.13: 3*, 5, 7*, 8
1.14: 3*, 6, 7*, 11*

Assignment #4--Due Friday, February 12

2.1: 1*, 3a*,b,c, 4*, 5h,i
2.2: 2*, 3, 5a*,b*,c, 6, 9
2.3: 3*, 4*, 5, 9*
Note: For 2.3, #9 "log x" refers to the inverse of the exponential function with base e. In many texts, this is called "ln x".

Assignment #5--Due Friday, February 19

2.3: 13, 15*
3.1: 1, 3, 9, 12*, 14, 20, 24*
3.2: 3, 4*
3.3: 2*, 4*, 5*, 6*, 7, 8, 10

Assignment #6--Not Collected

3.4: 4, 9, 10, 11
3.6: 2, 4, 5, 7
3.8: 6, 10 a, b, e, g. Also, derive (3.27), (3.29), (3.30) in this section.

Assignment #7--Due Friday, March 5

3.10: 2*, 4, 6*, 7, 8*, 10, 11, 12*, 13*, 14*
Note: Consider problem 6 "half-starred": compute the Laplacian in cylindrical coordinates and hand it in. Do the computation for spherical coordinates on your own.

Assignment #8--Due Friday, March 12

4.1: 2, 3, 4, 5, 6*, 7*, 9, 11*, 12*, 14
4.2: 1*, 3*, 4*, 5, 6, 7

Assignment #9--Due Friday, March 26

4.1: 10*
4.3: 2 b,c, 3, 4*, 5*, 6, 7, 8
4.4: 1, 2, 3, 4*, 5*, 7, 9*, 10*
4.5: 2, 4, 9*
Note: For 4.1 #10, use what you know about conservative vector fields to solve the problem. Treat the integral as a line integral of a vector field F+G, where G is conservative, but F is not. Compare this strategy with that in #7b of 4.4.

Assignment #10--Due Friday, April 2

4.6: 1*, 2*, 3, 4, 5*, 6*
4.7: 1, 2c,d, 3, 4, 6*, 11*, 13*, 14*, 15, 16, 20, 21
Reading: 4.6, 4.7, 4.8, Review double integrals
Note: For 4.7 #16, use trigonometric identities simplify the square of the integrand as much as possible before trying to integrate it.

Assignment #11--Not Collected

4.6: 8
4.8: 1, 3, 4, 5, 6

Assignment #12--Due Friday, April 16

4.9: 1, 2c*,d*, 3, 5*, 6, 17*, 21*, 23*
Note: As suggested in the instructions for 2c*,d* of 4.9, you should do problems 2c and 2d in 4.7 using the divergence theorem, rather than by direct computation.

Assignment #13--Due Friday, April 23

4.9: 8, 9c,d,e, 10*, 11, 12*, 13, 14*, 15*, 16*, 18*, 19, 20*
5.1: 6, 7, 8, 9
Notes: Use Stokes' Theorem for problems 10*, 12*, 14*, 15*, 16*. Also, do not ignore the unstarred problems in 5.1. In particular, number 9 in that section will provide a good recap of what happened in class on April 14.

Assignment #14--Due Monday, May 3

5.4: 1, 2, 3, 4, 6, 7, 8, 9*, 10*
5.5: 1*, 2*, 3*, 5, 6*, 7*
5.2: 1, 2*