Instructor: Matthew Blair

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

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)

HomeworkHand 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

Reading: 1.1-1.5

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

Reading: 1.6, 1.7, 2.1

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*

Reading: 2.2, 2.3, 2.5

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*

Reading: 2.6, 3.1, 3.2

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

Reading: 3.3, 3.4

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*

Reading: 6.1, 6.2, 6.3

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

Reading: 7.1, 7.2

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*

Reading: 7.3

Assignment #11--Due Wednesday, November 23

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

Reading: 7.3

Assignment #12--Due Wednesday, November 30

7.3: 21*, 22*, 26*, 27*, 28*, 29*

7.4: 6*, 7, 8*

Reading: finish 7.3, start 7.4

Note: The 7.4 exercises here just use Gauss's theorem, so they can be completed without going through that section first.

Assignment #13--Due Wednesday, December 7

7.4: 1, 2*, 3, 4*, 5*, 9, 10*, 13, 14*, 15a*,b*,c*, 17*

Miscellaneous exercises in Chapter 7 (p. 528): 33*, 34*, 35, 36*, 37*

Reading: Finish 7.4