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.

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.

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 (Additional warning: notes are from 2011, so dates and some class info is out of date.)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.

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.

**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:

- 2006 final, 2006 final solutions,
- 2007 final , 2007 final solutions,
- 2010 final , 2010 final solutions,
- 2012 final , 2012 final solutions,
- 2015 final , 2015 final solutions,
- More finals with solutions from 1998-2002 (Joel Feldman was the professor).
- Collection of old exams kept by the math department.

Grader: Ka Fai Li (Oscar)