# Vector Calculus

## Math 317 Section 101, 2017/2018 term 1

Instructor: Jim Bryan

Time: MWF 10:00-10:50

Place: Buchanan A104

Office Hours: Mondays 2:00-3:00, Wednesday 4:00-4:45, math 226.

Primary Book: Feldman and Rechnitzer

Secondary Book 1: Whitman, primarily chapter 13 and chapter 16.
Secondary Book 2: Strang, primarily chapter 12 and chapter 15.
Secondary Book 3: James Stewart, Multivariable Calculus Edition 7E, chapters 13 and 16. This has been the text book for this course in the past.

Other texts:
This is a somewhat more advanced text on the same subject.
This is for ambitious students who want to see more of the deep connections between vector calculus and topology. It is written completely in the language of this course (vector fields, div, grad, and curl), but it is written in a mathematically sophisticated way.

#### We have a Piazza page for questions and discussion. Use it!

Scan of old class lecture notes. The lectures for this year may substantial differ from these notes. (Additional warning: notes are from 2011, so dates and some class info is out of date.)
Set I.
Set II.
Set III.
Set IV.
Set V.

### Course syllabus and grading policy

Midterm: Fri Oct 13 List of learning expectations for the midterm.

Solutions to the midterm.

Solutions to the final. Alternative solutions to problem 8 on the final.

Quizes:

Quiz 1: Fri Sept 15 Learning expectations for Quiz 1.   Solutions to quiz 1.
Quiz 2: Fri Sept 29 Learning expectations for Quiz 2.   Solutions for Quiz 2.
Quiz 3: Fri Oct 27 Learning expectations for Quiz 3.   Solutions for Quiz 3.
Quiz 4: Fri Nov 10 Learning expectations for Quiz 4.   Solutions for Quiz 4.
Quiz 5: Fri Nov 24 Learning expectations for Quiz 5.   Solutions for Quiz 5.

### Suggested Homework Problems

Preparation for quiz 1:
Whitman, Chapter 13. Exercises 13.1 #1--10.
Whitman, Chapter 13. Exercises 13.2 #1,2,3,6,7,10,11,16,19; 13.3 #2,3,4.
Stewart:
13.1 # 29, 43, 42, 47,48
13.2 # 27, 33, 34, 53, 54
13.3 # 13, 16, 19, 21, 47, 49, 65

Preparation for quiz 2:

Whitman, Chapter 13. Exercises 13.3 #5,6,7,8,9, 13.4, #1,3,5,7,9.
Stewart:
13.4 #5, 7, 9, 11, 19, 23, 25,

Challenge problems: Ants problem.   Weird orbit problem.

Preparation for the Midterm:

Whitman, Chapter 16 Section 16.2 Exercises # 2, 3, 4, 5, 9, 11, 12, 15, 16, 22.
Strang, Chapter 15. 15.2 #1--6. .
Stewart: 16.2 #3, 5, 7, 9, 11, 13, 15
Old midterms for practice are here.

Practice problems for Quiz 3:
Strang, Chapter 15.
15.2 #13, 14, 15, 16, 22, 26, 33, 34, 35, 36.
15.3 #1, 2, 3, 4, 5, 6, 7, 9, 24, 45, 46
Stewart:
16.3 #3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18,
16.4 #1, 3, 5, 7, 9, 11, 13.

Practice problems for Quiz 4:
Stewart:
16.5 #1, 3, 5, 7, 12
Whitman, Chapter 16 Section 16.6 Exercises # 1, 2, 3, 4, 5, 8, 9, 11, 13,
Section 16.7 # 5, 7, 9, 11
Strang, Chapter 15.
15.4 #1, 3, 5, 7, 9, 16, 17, 21, 22, 27, 28, 29

Stewart:
16.6 #13--18

Practice problems for Quiz 5:
Stewart:
16.7 # 9, 11, 13, 17, 21, 23, 25, 27, 29, 31
16.8 # 3, 5, 7, 9, 11, 15, 17
Whitman, Chapter 16
16.7 # 5, 7, 9, 11
16.8 # 2, 3, 5
Strang, Chapter 15.
15.4 # 1, 3, 5, 7, 9, 16, 17, 21, 22, 27, 28, 29

Practice problems for post Quiz 5 material (divergence theorem):
Stewart:
16.9 # 1, 2, 5, 7, 9, 13, 17
Whitman, Chapter 16
16.9 # 1, 2, 6, 8
Strang, Chapter 15.
15.5 # 9, 10, 11, 12, 19, 20

Final exam

The final exam will take place on Thursday Dec 14th, 12:00--3:00 pm, in WESB 100.

Learning Expectations for the Final Exam
(These are essentially the concatination of all of the quiz expectations, plus a couple new ones.)

Practice final exams: