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 two-dimensional 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, 21-28, 41, 43, 45; p. 855: 19-24, 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, 68a-d, 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: 1-8, 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: 11-16, 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, catch-up, review. None. None. Last class is Monday. According to the schedule, the final exam is 4-7pm on Friday, May 4, in the lecture room.