Instructor: Jim Bryan

Time: MWF 12:00-12:50

Place: Buchanan A202

Office Hours: MW 1:00-2:30, math 226.

Book 1:
Whitman, primarily chapter 13 and chapter 16.

Book 2:
Strang, primarily chapter 12 and chapter 15.

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Scan of class notes (Warning: notes are from 2011, so dates and some class info is out of date.)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

Due Wednesday, January 11th: Whitman, Chapter 13. Exercises 13.1 #1--10. Solutions to graded problems.

Due Wednesday, January 18st: Whitman, Chapter 13. Exercises 13.2 #1,2,3,6,7,10,11,16,19; 13.3 #2,3,4. Solutions to graded problems.

Due Wednesday, January 25th: Whitman, Chapter 13. Exercises 13.3 #5,6,7,8,9, 13.4, #1,3,5,7,9.

** Extra credit problems:** Ants, Weird orbit, Kepler problem.

Due Wednesday, February 1st: Strang, Chapter 15. Exercises 15.1 #1--8 (just find the gradient, do not draw streamlines). #10, #27, #29, #36, 15.2 #1-10.

Practice midterms are here:

- old midterm 1,
- old midterm 2,
- old midterm 3,
- old midterm 4, old midterm 4 solutions
- old midterm 5, old midterm 5 solutions.
- old midterm 6, old midterm 6 solutions missing page 3 for midterm 6 solutions

Section 202

Section 201

Due Wednesday February 15th: Strang, Chapter 15. 15.2 #13,14,15,16,22, 26, 33,34,35,36.

Due Wednesday March 1st: Strang, Chapter 15. 15.3 #1, 2, 3, 4, 5, 6, 7, 9, 24, 45, 46 Whitman, Chapter 16. Exercises 16.4 #5, 7, 9, 10, 11

Due FRiday March 10th: Whitman, Chapter 16. Exercises 16.6 #1, 2, 3, 5, 7, 8, 9, 10, 13, 14.

Practice midterms:

- oldMT2 2005,
- oldMT2 2006a,
- oldMT2 2006b,
- oldMT2 2006c,
- oldMT2 2007, solutions, <-- Mistake in solution of #4 part 3 corrected.
- oldMT2 2010, solutions.
- oldMT2 2014, solutions.

Section 202

Section 201 <-- corrected version

Due Friday March 24th: Whitman, Chapter 16. Exercises 16.7 #7, 8, 9, 10, Strang, Chapter 15. 15.4 # 23-26, 27, 28, 35

Due Friday March 31st: Whitman, Chapter 16. Exercises 16.8 #1, 2, 3, 4, 5, Strang, Chapter 15. 15.6 #11, 12, 13, 14, 31, 32, 33, 34, 36,

Due Wednesday, April 5th:: Whitman, Chapter 16. Exercises 16.9 #1, 2, 3, 4, 5, 6, 7, 8 Strang, Chapter 15. 15.5 #1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Summary of integral theorems and techniques for using them.

List of learning expectations for the final exam..

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.

Final Exam: Tuesday, April 25th, 8:30 am --- 11:30 am. HEBB 100.

Solutions to the exam.Grader: Rebeca Cardim Falcao