Mathematics 32, Spring 2017

Calculus III

Lectures:

Section 2: Mondays, Wednesdays, and Fridays, 10-10:50am, in Room 201, Brighton Hall
and Tuesdays, 10:30-11:20am, in Room 203, Brighton Hall



Instructor: Michael VanValkenburgh.

Office: Room 140, Brighton Hall
Office Hours: Mondays and Wednesdays 9-10am and Thursdays 10:30-11:30am.


A description of the course: Math 32, Spring 2017 (pdf)

Drop Policy


Extra Notes:




Announcements:

1. The following textbooks are recommended:

openstax Calculus, Volume 3
The homework problems and section numbers (in the lecture schedule below) are taken from this book.

I also highly recommend you buy a copy of Stewart's Calculus (any edition).


2. Final Exam Schedule. Please take this into account when registering for classes:
Section 2: Friday, May 19, 8-10am.


3. This semester we have PAL (Peer Assisted Learning) sections for Math 32. I highly recommend that you formally enroll in one of the following PAL sections (for one unit of course credit):
(a) NSM 96-01 TR 1:30-2:20pm, AMD 314.
(b) NSM 96-02 MW 2-2:50pm, BRH 113.
(c) NSM 96-03 MW 12-12:50pm, BRH 113



Homework:

Homework will not be collected; instead, on the ``due date'' there will be an in-class quiz with problems taken from the homework. This will prepare you for the testing environment and will show you my grading style.

Quiz 1 on Friday, January 27:
Section 2.1 (12, 14, 16, 22, 26, 30)
Section 2.2 (62, 64, 66)
...and read the book.

Quiz 2 on Friday, February 3:
Section 2.2 (68, 70, 74, 76, 80, 84, 92, 100)
Section 2.3 (124, 126, 128, 134, 136, 142, 144, 146, 148, 154)
...and read the book.

Homework:
Section 2.3 (168, 170, 172)
Section 2.4 (184, 188, 190, 196, 198, 210, 212, 214, 216, 221, 222, 230, 234)
Also remember that there is an Exam on Monday, February 13

Homework, which you should do before the Exam on Monday, February 13:
Section 2.5 (246, 248, 250, 252, 254, 256, 258, 268, 272, 282)

Quiz 3, on Friday, February 24:
Section 3.1 (4, 12, 14, 18, 19, 22, 26)
Section 3.2 (46, 48, 54, 62, 66, 72, 80, 82, 84, 88, 95, 96, 98, 100)
Section 3.3 (106, 108, 110)

Quiz 4, on Friday, March 3:
Section 4.1 (4, 14, 18, 22, 46, 50, 54, 56)
Section 4.2 (62, 64, 72, 74, 82, 86, 88)
Section 4.3 (120, 122, 128, 130, 138, 140, 148, 150)

Homework, for the Exam on Wednesday, March 8:
Section 4.4 (164, 170, 174, 176, 180, 184)

Quiz 5, on Friday, March 17:
Section 4.4 (192, 194, 195, 198, 199, 207, 208)
Section 4.5 (218, 219, 221, 222, 227, 228, 233, 234, 245)

Quiz 6, on Tuesday, April 4:
Section 4.6 (265, 266, 268, 270, 271, 274, 275, 278, 279, 280, 281, 290, 291, 294, 295, 300, 303, 304)

Quiz 7 on Tuesday, April 11:
Section 4.7 (311, 312, 314, 315, 318, 321, 324, 333)

Quiz 8 on Monday, April 17:
Section 5.1 (14, 17, 21, 26, 29, 33, 34)
Section 5.2 (69, 72, 73, 74, 75, 86, 87, 96, 97)

Exam 3 on Friday, April 21:
Section 5.3 (122, 124, 126, 130, 138, 139, 145, 146, 148, 149)

Quiz 9 on Friday, April 28:
Section 5.4 (182, 191, 192, 195, 196, 203, 204)

Quiz 10 on Tuesday, May 2:
Section 5.5 (253, 254, 258, 259, 262, 271, 272, 276, 277)
(In problems 276 and 277, they mean for you to use spherical coordinates.)
Also see the handout on Cylindrical and Spherical Coordinates.

Quiz 11 on Monday, May 8:
The problems in my handout on line integrals (see the lecture schedule for a link).
Also: Section 6.3 (112, 113, 126, 129)

Homework Problems for the Final Exam on Friday, May 19, 8-10am:
Section 6.4 (146-158)


Exams:

Exams and Solutions are posted on Sac CT.




Lecture Schedule

DateTopicsBook
1. M 1/23 Introduction; Cartesian Coordinates in Space. § 2.1-2.2
2. T 1/24 Intro to Vectors, I. § 2.1-2.2
3. W 1/25 Intro to Vectors, II. § 2.1-2.2
4. F 1/27 The Dot Product, I. § 2.3
5. M 1/30 The Dot Product, II. § 2.3
6. T 1/31 The Cross Product, I. § 2.4
7. W 2/1 The Cross Product, II. § 2.4
8. F 2/3 The Cross Product, III. § 2.4
9. M 2/6 Lines in Space. § 2.5
10. T 2/7 Lines, Projections, Distances. § 2.5
11. W 2/8 Planes. § 2.5
12. F 2/10 Planes intersecting things. § 2.5
M 2/13 EXAM 1
13. T 2/14 Vector-Valued Functions, I. § 3.1
14. W 2/15 Calculus with Vector-Valued Functions, I. § 3.2
15. F 2/17 Calculus with Vector-Valued Functions, II. § 3.2
16. M 2/20 Arclength. § 3.3
17. T 2/21 Functions of Several Variables, I. § 4.1
18. W 2/22 Functions of Several Variables, II. § 4.1
19. F 2/24 Level Curves; Level Surfaces. § 4.1
20. M 2/27 Limits of Multivariable Functions. § 4.2
21. T 2/28 Partial Derivatives, I. § 4.3
22. W 3/1 Partial Derivatives, II. § 4.3
23. F 3/3 Tangent Planes and Linear Approximations, I. § 4.4
24. M 3/6 Tangent Planes and Linear Approximations, II. § 4.4
25. T 3/7 Review.
W 3/8 EXAM 2
26. F 3/10 Differentiability of Multivariable Functions. § 4.4
27. M 3/13 the Multivariable Chain Rule. § 4.5
28. T 3/14 Implicit Differentiation. § 4.5
29. W 3/15 Homework in Class. § 4.4, 4.5
30. F 3/17 Directional Derivatives, I. § 4.6
M-F 3/20-24 NO CLASS (Spring Break)
31. M 3/27 Directional Derivatives, II. § 4.6
32. T 3/28 Directional Derivatives, III. § 4.6
33. W 3/29 Directional Derivatives, IV. § 4.6
F 3/31 NO CLASS (Cesar Chavez Day)
34. M 4/3 Directional Derivatives, V. § 4.6
35. T 4/4 Extreme Values, I. § 4.7
36. W 4/5 Extreme Values, II. § 4.7
37. F 4/7 Double Integrals, I. § 5.1
38. M 4/10 Double Integrals, II. § 5.1
39. T 4/11 Double Integrals, III. § 5.2
40. W 4/12 Homework in Class. § 1.3, 5.3
41. F 4/14 Double Integrals in Polar Coordinates, I. § 5.3 and Typed Notes.
42. M 4/17 Double Integrals in Polar Coordinates, II. § 5.3
43. T 4/18 Triple Integrals, I. § 5.4
44. W 4/19 Review.
F 4/21 EXAM 3
45. M 4/24 Triple Integrals, II. § 5.4
46. T 4/25 Cylindrical and Spherical Coordinates. § 2.7 and Typed Notes.
47. W 4/26 Spherical Coordinates. § 2.7 and Typed Notes.
48. F 4/28 Line Integrals, I. § 6.1 and Typed Notes.
49. M 5/1 Line Integrals, II. § 6.1 and Typed Notes.
50. T 5/2 Line Integrals, III. § 6.2
51. W 5/3 Conservative Vector Fields. § 6.3
52. F 5/5 Green's Theorem, I. § 6.4
53. M 5/8 Green's Theorem, II. § 6.4
54. T 5/9 Green's Theorem, III § 6.4
55. W 5/10 Review.
56. F 5/12 Review.
FINAL EXAM: 5/19, 8-10am