Instructor: Matthew Blair

Email Address: blair ["at"] math.unm.edu

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)

AnnouncementsFebruary 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

Reading: 1.1-1.8

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*

Reading: 1.8-1.12

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*

Reading: 1.12-1.14, 2.1

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*

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, 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

Reading: 3.1-3.4

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. Also, derive (3.27), (3.29), (3.30) in this section.

Reading: 3.6, 3.8

Assignment #7--Due Friday, March 5

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

Reading: 3.10, 4.1

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

Reading: 4.1, 4.2, 4.3, 4.4

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*

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, 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

Additional problems

Reading: 4.8, 4.9

Assignment #12--Due Friday, April 16

4.9: 1, 2c*,d*, 3, 5*, 6, 17*, 21*, 23*

Reading: 4.9

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

Reading: 4.9, 5.1

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*

Reading: 5.4, 5.5, 5.2, 5.3

Notes: The answer in the back for 5.2 #2 is incorrect. For 5.4 #9, treat the question leading off with "By symmetry,..." as part (c) of the problem.

Assignment #15--Not Collected

5.2: 6, 9, 10

5.3: 3, 4, 5

Reading: 5.3