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 two-dimensional 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 ARC-118 (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, 21-28, 41, 43, 45; p. 855: 19-24, 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, 68a-d, 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: 1-8, 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: 11-16, 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/catch-up. 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 12-3 pm. The location is SEC-218.