Math 291, Section 2
Spring 2007

Schedule
Week 
Date of Monday 
Topic 
Homework 
Workshop 
Comments 
1 
Jan. 15 
Dimensionality. 
p. 797: 5, 9, 28, 30, 32, 33, 42; p. 805: 13, 15, 31, 37, 44
(Hint: do the twodimensional case first.); Due 1/25. 
Workshop 1. No problems
due. 
Classes start on Jan. 17. Homework 0: email (Saul) with your
name, major, and interesting fact/what you expect from class. 
2 
Jan. 22 
Points and vectors. Dot and cross product. 
p. 797: 4, 7, 18; p. 805: 24, 27, 40; p. 812: 6, 51, 58;
p. 820: 10, 16, 32; Due 2/1. 
Workshop 2. Problem 3
and the general case of Problem 4 are due on 2/1. Please write
clearly, concisely, and with correct grammar. 

3 
Jan. 29 
Equations of curves and surfaces. 
p. 829: 12, 31, 55, 62, 67, 69, 74; p. 837: 9, 2128, 41, 43,
45; p. 855: 1924, 35, 39; Due 2/8. 
Workshop 3. Problem 3
is due on 2/8. Please give a clear explanation and a beautiful
picture. 
One use
of corner reflectors. 
4 
Feb. 5 
Calculus of curves. Vector valued functions. 
p. 846: 38, 46; p. 855: 6, 13, 26, 36; p. 861: 3, 15, 18, 48;
p. 868: 10, 15, 20, 21, 39, 47, 49, 50; Due 2/15. 
Workshop 4. Problem 4
is due on 2/15. 

5 
Feb. 12 
Partial derivatives. Tangent planes. 
p. 919: 7, 8, 44, 68ad, 84; p. 930: 2, 4, 6, 32, 34; Due
2/22. 
None. 
Substitute lecturer Monday and Wednesday. Midterm
Thursday. 
6 
Feb. 19 
Chain rule. Gradient. 
p. 938: 6, 21, 24, 42, 50, 51, 56; p. 950: 12, 28, 34, 52, 54;
Due 3/1. 
Workshop 5. Problem 3
is due on 2/29. 
A few contor
lines. 
7 
Feb. 26 
Optimization. Lagrange. 
p. 961: 5, 8, 32, 39, 46, 51; p. 970: 3, 6, 14,
18, 23, 40, 44; Due 3/8. 
Workshop 6. Problem 4 is
due on 3/8. 
The UPS size/weight
page. 
8 
Mar. 5 
Double integrals. Change of variables. 
p. 989: 14; p. 994: 9, 10, 16, 23; p. 1002: 7, 13, 23, 24, 37;
p. 1048: 18, 13, 21; Due 3/22. 
Workshop 7. Problem 3 is
due on 3/22. 

9 
Mar. 12 
None. 
None. 
None. 
Spring Recess. 
10 
Mar. 19 
Surface area. Triple integrals. 
p. 1022: 6, 7, 10, 13, 17, 22; p. 1030: 4, 6, 17, 18, 20, 37;
Due 3/29. 
Workshop 8. Problem 3 is
due on 3/29. 

11 
Mar. 26 
Vector fields. Line integrals. 
p. 1060: 5, 21, 23, 25, 26, 33; p. 1071: 1, 3, 20, 31, 33, 34,
40, 43; Due 4/05. 
None. 
Midterm Thursday. A vector field calculator
might be useful. 
12 
Apr. 2 
Introduction to Stokes' Theorem. Line integrals and Green's
Theorem. 
p. 1081: 4, 5, 16, 20, 33; p. 1089: 1, 2, 4, 10, 12, 21, 27;
Due 4/12. 
Workshop 9. Problem 6 is
due on 4/12. 
Stokes' Theorem was discovered by Lord Kelvin. He was not stupid. 
13 
Apr. 9 
Div and Curl. 
p, 1096: 13 (use the fundamental theorem of line integrals),
15, 19, 27, 30, 31, 32; Due 4/19. 
Workshop 10. Problem 5 is
due on 4/19. 

14 
Apr. 16 
Surfaces. 
p. 1107: 1116, 21, 24, 32, 41, 44; p. 1119: 5, 9, 11, 23, 27,
35, 42; Due 4/26. 
Workshop 11. Problem 3 is
due on 4/26. 
A wood
helix wind spinner, aka the helicoid. 
15 
Apr. 23 
Stokes' Theorem. 
p. 1125: 5, 7, 9, 11, 19; p. 1132: 3, 5, 11, 22, 24, 25; Due
4/30. (Note the date!) 
None. 

16 
Apr. 30 
Questions, catchup, review. 
None. 
None. 
Last class is Monday. According to the
schedule,
the final exam is 47pm on Friday, May 4, in the lecture
room. 


