Math 311, Section 1, Vector Analysis, Fall 2015

General Information

Instructor: Matthew Blair
Email Address: blair ["at"] math.unm.edu
Course Web Page: http://www.math.unm.edu/~blair/math311f15.html
Office: SMLC 330
Office Hours: Wednesday 11:00am-Noon, 2:30-4:30 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 10-10:50, Mitchell 202.

Course Syllabus (in .pdf format)

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, August 24

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, August 28

1.8: 1, 3, 7*, 11, 12, 13, 18*
1.9: 3, 4, 11, 12a,b*,c, 13*, 20*, 21*
1.10: 1, 2, 3*, 4, 5, 11, 13*, 14

Assignment #3--Due Friday, September 4

1.12: 2*, 5, 11*, 12*, 13, 19*, 20, 21, 26
1.13: 3*, 5, 7*, 8
1.14: 3*, 6, 7*, 11*
Note: Make sure to justify your answers thoroughly for all problems, especially 1.12 #11 and #19.

Assignment #4--Due Friday, September 11

2.1: 1*, 3*, 4*, 5h,i
2.2: 2*, 3, 5a*,b*,c, 6, 9
2.3: 3*, 4*, 5, 9*
Reading: 2.1, 2.2, 2.3, 3.1
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, September 18

2.3: 13*, 14, 15*, 19
3.1: 1, 2, 3*, 9, 10, 12*, 14, 20, 24*
3.2: 3, 4*
3.3: 2, 4*, 5*, 6*, 7, 8, 10
Note: Your answer for 3.1, #24 should be an acute angle

Assignment #6--Not Collected

3.4: 4, 9, 10, 11
3.6: 2, 4, 5, 7
3.8: 6, 10 a, b, e, g
Exam from Fall 2009

Assignment #7--Due Wednesday, October 7 (Note unusual day)

3.10: 2*, 4, 6*, 7, 8*, 10, 11*, 12*, 13*, 14*

Assignment #8--Due Friday, October 16

4.1: 2, 3*, 4, 5, 6*, 7*, 9, 11*, 12*, 14
4.2: 1*, 3*, 4*, 5, 6, 7
Reading: 4.1, 4.2, 4.3, 4.4

Assignment #9--Due Friday, October 23

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*
Reading: 4.3, 4.4, 4.5, 4.6
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, October 30

4.6: 1*, 2*, 3, 4, 5*, 6(a,b,c,d)*
4.7: 1, 2(c,d), 3, 4, 6*, 11*, 13*, 14*, 15, 16, 20, 21
Reading: 4.6, 4.7, 4.8, Review double integrals
Note: For 4.6 #6, hand in parts a,b,c,d of the problem. 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, 6
Exam from Fall 2009

Assignment #12--Due Monday, November 16

4.9: 1, 2c*,d*, 3, 5*, 6, 17*, 18b*, 21*, 23*
Notes: 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. You did 18a in the first midterm, so you should review it, but there is no need to hand it in again here.

Assignment #13--Due Wednesday, November 25

4.9: 8, 9c,d,e, 10*, 11, 12*, 13, 14*, 15*, 16, 18, 19, 20*
5.4: 1, 2, 3, 4, 6, 7*, 8*, 9*, 10
Reading: 4.9, 5.1, 5.4, 5.5
Notes: Use Stokes' Theorem for problems 4.9: 10*, 12*, 14*, 15*. 4.9 #20 is a divergence theorem problem.

Assignment #14--Due Friday, December 4

5.2: 1, 2*,6*,9*,10
5.5: 1*, 2*, 3*