Math 291, Section 2
Fall 2005

Schedule
Week 
Date of Monday 
Topic / Section of book 
Homework 
Workshop 
Comments 
1 
Aug. 29 
Three dimensional space. Notes. 
p. 797: 5, 9, 28, 30, 32; p. 805: 13, 15, 37, 44 (Hint: do the
twodimensional case first.); Due 9/12. 
None. 
Classes start on Sept. 1. 
2 
Sept. 5 
Dot and cross product. Notes. 
p. 797: 4, 7, 18, 42; p. 805: 24, 27, 40; p. 812: 6, 51, 58;
p. 820: 10, 16, 32; Due 9/12. 
Thursday class at ARC118 (Maple Lab). 
No class Monday (Labor Day). 
3 
Sept. 12 
Equations of curves and surfaces. Notes. 
p. 829: 12, 31, 55, 62, 67, 69, 74; p. 837: 9, 2128, 41, 43,
45; p. 855: 1924, 35, 39; Due 9/19. 
Workshop 1. Do problem 4. Due 9/21. 

4 
Sept. 19 
Calculus of curves. Vector valued functions. Notes. 
p. 838: 44, 48; p. 843: 63 (Give a sketch  ensure that the solid
is centered on the origin.); p. 846: 38, 46; p. 855: 6, 13, 26, 36;
p. 861: 3, 15, 18, 48; Due 9/26. 
Workshop 2. Due 10/5. 

5 
Sept. 26 
Partial derivatives. Tangent planes. Notes. 
p. 868: 10, 15, 20, 21, 39, 47, 49, 50; p. 919: 7, 8, 44,
68ad, 84; p. 930: 2, 4, 6, 32; Due 10/3. 
None. 
Substitute lecturer Monday. Review Wednesday. Midterm Thursday. 
6 
Oct. 3 
Chain rule. Gradient. 
p. 930: 34; p. 938: 6, 21, 24, 42, 50, 51, 56 (Really a
question about planes!); p. 950: 12, 28, 34, 52, 54; Due 10/10. 
Workshop 3. Do problem
3. Due 10/12. 

7 
Oct. 10 
Optimization. Lagrange. 
p. 961: 5, 8, 32, 39, 46, 51; p. 970: 3, 6, 14,
18, 23, 40, 44; Due 10/17. 
Workshop 4. Do problem
4. Due 10/19. 

8 
Oct. 17 
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; 
Workshop 5. Do problem
3. Due 10/27. 

9 
Oct. 24 
Surface area. Triple integrals. 
p. 1022: 6, 7, 10, 13, 17, 22; p. 1030: 4, 6, 17, 18, 20, 37; 
Workshop 6. Do problem
1. Due 11/2. 

10 
Oct. 31 
Vector fields. Line integrals. 
p. 1060: 5, 21, 23, 25, 26, 33; p. 1071: 1, 3, 20, 31, 33, 34,
40, 43; 
Workshop 7. Do problem
1. Due 11/9. 

11 
Nov. 7 
Introduction to Stokes' Theorem. 
None. 
Do problem 4 of Workshop 7. Due 11/16. 
Midterm Monday. Stokes' Theorem was discovered by Lord Kelvin. He
was not stupid.

12 
Nov. 14 
Line integrals and Green's Theorem. 
p. 1081: 4, 5, 16, 20, 33; p. 1089: 1, 2, 4, 10, 12, 21, 27;
Due 11/21. 
Workshop 8. Do Problem
5. Due 11/22. 

13 
Nov. 21 
Div and Curl. 
p, 1096: 13 (use the fundamental theorem of line integrals),
15, 19, 27, 30, 31, 32; 
Workshop 9. Note that
this version is slightly different from the one handed out on
Tuesday. Do Problem 4 or 5 (or both, if you are feeling
keen). Due 11/30. 
Thanksgiving  No class Thursday. Wednesday class meets on
Tuesday. (I am not making this up.) 
14 
Nov. 28 
Surfaces. 
p. 1107: 1116, 21, 24, 32, 41, 44; p. 1119: 5, 9, 11, 23, 27,
35, 42; 
Workshop 10. Please turn
in numbers 10.2 and 10.6. You may turn in this final assignment
any time until office hours on Monday, 12/19. 

15 
Dec. 5 
Stokes' Theorem. 
p. 1125: 5, 7, 9, 11, 19; p. 1132: 3, 5, 11, 22, 24, 25; Due
12/12. 
We will continue with Workshop 10. Please also come with
questions for me and for each other. Interesting questions have
every chance to appear on the final exam. 
I have prepared a short note on forms and their derivatives. 
16 
Dec. 12 
Questions/catchup. 
None. 
None. 
Last class is Monday. I will have office hours at the usual
time on 12/12 and 12/19. Office hours on Thursday 12/15 are
cancelled. Final exam is Dec. 21 from 123 pm. The location is SEC218. 


