LECTURE: MWF 1400 -- 1450 Cordley 2113 CRN 10557 Recitation: R 1400 -- 1450 WNGR 275 CRN 10558 R 1500 -- 1550 WNGR 275 CRN 15138 Instructor: R.E. Showalter Kidder 298B show@math.oregonstate.edu Assistant: Shari Ultman Kidder 338 ultmans@math.oregonstate.edu Office Hours: Kidder 338 W F 1100-1150 Vectors, vector functions, and curves in two and three dimensions. Surfaces, partial derivatives, gradients, and directional derivatives. Multiple integrals in rectangular, polar, cylindrical, and spherical coordinates. Physical and geometric applications.Prerequisite: MTH 252
Textbook: D. Hughes-Hallett et al, Multivariable Calculus, Wiley, 4th edition, 2004.
Homework will be assigned in Lecture as a topic for Recitation Periods, but it will not be collected. Two fifty-minute Tests will be given during the Lecture period. Test problems come directly from the assigned Homework. Final Exam counts the equivalent of two Tests. The best three of these four scores will determine 90% of the Grade for the course. The remaining 10% comes from Recitation. Absence from a Test gives a score of 0 for that Test; no excuse from a Test is necessary, and there is no excuse for absence from the Final Exam.Test Dates: October 12, November 2.
Final Exam: Thursday, December 6, 0930 - 1120, Dearborn 118.Schedule:
1. Functions and Coordinates Section 12.1: 6, 8, 13, 17, 22, 25, 26, 27, 28, 32. (9/24)
2. Graphs and Contours Section 12.2: 1, 2, 11, 14; Section 12.3: 12 - 17.
3. Linear functions and functions of 3 variables Section 12.4: 3, 9, 13, 15; Section 12.5: 1, 2, 10, 11.
4. Limits and Continuity Section 12.6: odd 1-15. (10/1)
5. Vectors and Lines Section 13.1: odd 1-7; Section 13.2: odd 11-21; Section 17.1 (pp. 835-837): 1-6.
6. Dot Product and Lines Section 13.3: odd 1-7, 11, 13, odd 21-27; Section 17.1 (pp. 835-837): 7-12, 30-33.
7. Cross Product Section 13.4: 1, 3, 5, 13, 15, 17, 21, 23; Section 17.1 (pp. 835-837): 44-47, 52. (10/8)
8. Review
9. TEST #1 12.4 3,9, 12.1 8, 13.4 5, 17.1 7, 13.3 21, 17.1 32, 17.1 46.
10. Partial derivatives Section 14.1: 9; 14.2: odd 1-13. (10/15)
11. Differential Section 14.3: odd 1-11, 13, 14, 16, 18, 22.
12. Gradient & directional derivative Section 14.4: odd 1-19; 52, 53, 55, 61, 63; Section 14.5: odd 17-25, 26, 32.
13. Chain rule Section 14.6: odd 1-15, 24, 27. (10/22)
14. Second-order derivatives Section 14.7: odd 1-7, 11, 13, 15, 29.
15. Differentiability Section 14.8: 1, 3, 5.
16. Optimization Section 15.1: odd 1-9; Section 15.2: 3-7, 11, 13, 23. (10/29)
17. Review
18. TEST #2 14.3 3, 14.6 5, 14.3 16, 14.5 17, 14.5 25, 15.1 5.
19. Constrained optimization Section 15.3: odd 1-5, 9, 29. [Not 7](11/07)
20. Integrals Section 16.1: 1, 9, 11, 13, 15, 31; Section 16.2: 1, 3, 5.
21. Iterated integrals Section 16.2: odd 1-15, 27-31.
22. Triple integrals Section 16.3: odd 1-7, 19, 27, 51, 53. (11/12)
23. Change of variable Section 16.7: odd 1-9, 23.
24. Polar coordinates Section 16.4: odd 1-19.
25. Cylindrical, spherical coordinates Section 16.5: 6-14, 19, 21. (11/19)
26. Review
27. Parameterized curves Section 17.1: 13, 19, 27, 53, 55; Section 17.2: 4, 7, 9, 19, 23. (11/26)
28. Velocity, acceleration Section 17.2: 26, 35.
29. Review
Final Exam: Thursday, December 6, 0930 - 1120, Dearborn 118.
Grade minimum number A 90 13 B 80 17 C 63 19 C- 58 3 D 45 11 F 30 5