Math 311, Section 1, Vector Analysis, Fall 2016

General Information

Instructor: Matthew Blair
Course Web Page: http://www.math.unm.edu/~blair/math311f16.html
Office: SMLC 330
Office Hours: Monday 3-5pm and Tuesday 2:15-3:15pm, and by appointment.

Text:
Vector Calculus, Fourth Edition, by Susan Jane Colley (required)
Student's Solutions Manual for Vector Calculus, by Susan Jane Colley (optional)
Note that the Colley textbook is different from the one being used in other sections of Math 311

Meeting times/location: Monday, Wednesday, and Friday at 2-2:50pm, SMLC 356.

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 Wednesday, August 31

1.1: 7, 11, 13, 15, 17, 21*, 22*, 23, 25
1.2: 11, 12*, 13, 15, 22*, 23, 25, 33, 34*, 35, 36*, 37*, 39, 42*, 45
1.3: 21*, 24*, 25, 26*, 31*, 33*, 34*, Review exercises 1-17 as needed

Assignment #2--Due Wednesday, September 7

1.4: 19, 20*, 21, 22*, 25, 26*, 35*, 37, 38*, 39, 40*
1.5: 15, 16*, 19, 20*, 21, 23, 25, 27, 31, 33*, 35, 36*, 37*, 38, 39*
1.6: 9, 10*, 11*, 12*, 16*, 17, 18*, 19

Assignment #3--Due Wednesday, September 14

1.7: 19, 23, 25, 26*, 27, 29, 31, 32*, 33, 34*, 39*, 41, 42*
2.1: 11, 12*, 13, 38*, 39*, review 1-5 and 14-23 as needed
2.2: 7, 11, 13, 15*, 23*, 40*, 43, 47*, 48*

Assignment #4--Due Wednesday, September 21

2.3: 27, 29, 30*, 32*, 39, 42*
2.4: 28*, 29
2.5: 13, 15, 16*, 20*, 19, 25, 26*, 27, 28*, 31*, 33*
2.6: 11, 12*, 13, 26*, 27, 31, 35, 36*

Practice problems for Midterm 1--Not collected

3.1: 15, 17, 19, 21, 23, 25, 29, 30, 33
3.2: Be able to solve the aspects of problems in 16-19 and 27-32 dealing with curvature, principal normals, arclength reparameterization, tangential and normal components of acceleration

Assignment #5--Due Wednesday, October 5

3.1: 26*, 35*
3.2: 20*, 21*, 33*, 36*, 42*, 43, 44a*
3.3: 17, 19, 20*, 21, 23, 24*, 25*, 27, 29

Assignment #6--Due Wednesday, October 12

See handout

Assignment #7--Due Wednesday, October 19

See handout

Assignment #8--Due Wednesday, October 26

6.1: 21, 23, 25, 27, 29, 32*, 34*, 35*, 37*, 38*, 39, 41*, review exercises 1-17 as needed
6.2: 7, 8*, 9, 10*, 11, 13, 15, 16*, 17, 22*, 23*, 27, 30*, 31*

Practice problems for Midterm 2--Not collected

6.3: 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 33

Assignment #9--Due Wednesday, November 9

6.3: 19*, 35*, 36*
7.1: 7, 11, 12*, 13, 14*, 15, 17, 18*, 20*, 22*, 23, 25, 26*, 28*, 32*, 33
Notes: For 6.3 #36, you should use the result of #35 to make your job easier, writing the vector G as a sum of a conservative vector field and a nonconservative one. The result of #35 allows you to handle the conservative term, so you are left to handle only an easier integral involving a nonconservative vector field.

Assignment #10--Due Friday, November 18

7.2: 3, 4*, 5, 7, 8*, 9, 12*, 13, 15, 17, 18*, 19, 21, 22*, 24*, 25, 26*, 27, 28*
7.3: 1, 3, 4*, 5*, 13, 15, 16*

Assignment #11--Due Wednesday, November 23

7.3: 7, 8*, 9, 11, 12*, 14*, 17, 18*, 20*, 24*, 25*