MTH 254: Vector Calculus, I, Fall, 2011

LECTURE:	MWF 1100	Covell 216	CRN 17611
	RECITATION:	Thursdays	(see Schedule)
Instructor:	R.E. Showalter	Kidder 286	show@math.oregonstate.edu
	Office Hours:	Monday 12/05: 12:30-2:30pm.
Assistant:	Dojin Kim	Kidder 260	kimd@math.oregonstate.edu
	Office Hours:	T: 10-10:50; TR: 11-11:50

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. (Chapters 11-13 and 10.2 from the Textbook.)

Prerequisite: MTH 252

Textbook: Briggs-Cochran, Multivariable Calculus, Pearson, Custom Edition for OSU, 2011.

STUDY GUIDE

Homework will be assigned in Lecture as a topic for Recitation Periods. 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 the Grade for the course. 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 17, November 9.
Final Exam: Tuesday 1200, December 6, 2011, Gilbert 224.

Need help?

• Read the Textbook. Do the Homework problems before the next lecture.
• Look over the upcoming Lesson in the Study Guide; it gives a good preview.
• Ask questions in Recitation. You can even attend an additional Recitation!
• Use the free drop-in tutoring at Math Learning Center .
• Go to Mr. Kim's Office hours. (See his webpage for additional hours in MLC.)

SCHEDULE:
1. Coordinates 10.2: 27, 29, 31, 33, 35 & 13.5: 11, 13, 35, 37. (9/26)
2. Vectors 11.1: odd 17-35, 39, 45, 51; 11.2: 11, 13, 19, 23, 27, 29, 31, 33, 37, 39, 45, 47.
3. Dot product 11.3: 9, 11, 15, 21, 23, 25, 27, 29, 33.
4. Cross product 11.4: odd 13-31, 35, 37, 39. (10/3)
5. Lines & Curves 11.5: odd 11-27, 35, 41, 43, 45.
6. Calculus on Curves 11.6: odd 9-17, 23, 25, 27, 33, 37, 43, 47, 51; 11.7: 7, 9, 11, 13, 21-29, 35, 39.
7. Curve Length 11.8: odd 7 - 15, 19, 21, 27, 29, 31. (10/10)
8. Curvature & Normals 11.9: 11, 13, 15, 17, 23, 25, 31, 33, 39
9. REVIEW
10. TEST #1 Median = 49.5 10/17
11. Planes & Surfaces 12.1: odd 11-37, 41, 45, 49, 53, 57
12. Graphs & Level curves 12.2: odd 11-15, 19-33, 43-47
13. Limits & Continuity 12.3: odd 11-45 (10/24)
14. Partial Derivatives 12.4: odd 7-37, 43, 45
15. Chain Rule 12.5: odd 7-21, 27-33
16. Gradient & Directional Derivative 12.6: odd 9-27, 33, 35, 37, 49, 51 (10/31)
17. Tangent plane & Linear approximation 12.7: odd 9-29
18. REVIEW
19. REVIEW (11/07)
20. TEST #2 Median = 68
21. Double Integrals 13.1: 5, 9, 13, 17, 21, 23; 13.2: 7, 13, odd 19 - 23.
22. 13.2: odd 25 - 29, 35 - 39, 43, 49 - 57. (11/14)
23. Max-Min 12.8: odd 9-19, 29, 33 - 39, 47, 51.
24. Double Integrals in polar coordinates 13.3: odd 7 - 23, 27, 35, 37, 43.
25. Triple Integrals 13.4: 7, 11, odd 15-37, 41. (11/21)
26. Cylindrical & Spherical coordinates 13.5: odd 11 - 23, 29 - 51.
27. Holiday
28. Change of Variables 13.7: 3, 7, 11, 15, 19, 23, 27. (11/28)
29. Lagrange Multipliers 12.9: 5, 7, 9, 15, 25.
30. Review