Mathematics 32, Fall 2016

Calculus III

Lectures:

Section 3: Mondays, Wednesdays, and Fridays, 12-12:50pm, in Room 201, Brighton Hall
and Thursdays, 12-12:50pm, in Room 122, Sequoia Hall

Section 5: Mondays, Wednesdays, and Fridays, 10-10:50am, in Room 1008, Riverside Hall
and Thursdays, 10-10:50am, in Room 1002, Mariposa Hall



Instructor: Michael VanValkenburgh.

Office: Room 140, Brighton Hall
Office Hours:
Mondays 1-1:50pm
Tuesdays 9:30-11am
Wednesdays 4-5pm
Also by appointment.


A description of the course: Math 32, Fall 2016 (pdf)

Drop Policy


Extra Notes:




PAL (Peer-Assisted Learning) Sections for Math 32:

This is the first semester with 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):
NSM 96-01 MW 9-9:50am, MND 4007.
NSM 96-02 MW 3-3:50pm, SQU 102.
The PAL office is SQU 248 and is open to ALL students, not just those enrolled in a PAL.


Announcements:

We will be using the following FREE textbook:
openstax Calculus, Volume 3

We will cover most of Chapters 2-5, and some of Chapter 6, as listed in the lecture schedule below.


Final Exam Schedule. Please take this into account when registering for classes:
Section 3 (12-12:50pm class): Wednesday, December 14, 10:15am-12:15pm, in BRH 201.
Section 5 (10-10:50am class): Friday, December 16, 8-10am, in RVR 1008.


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.

Homework 1, Quiz on Friday, September 2:
Section 2.1 (12, 14, 16, 22, 26, 30)
Section 2.2 (62, 64, 66)
...and read the book.

Homework 2, Quiz on Friday, September 9:
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 3, Quiz on Friday, September 16:
Section 2.3 (168, 170, 172)
Section 2.4 (184, 188, 190, 196, 198, 210, 212, 214, 216, 221, 222, 230, 234)

Homework 4, which you should do before the Exam on Wednesday, September 21:
Section 2.5 (246, 248, 250, 252, 254, 256, 258, 268, 272, 282)

Homework 5, Quiz on Wednesday, October 5:
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, 128, 129, 130, 138)
(Problem 129 should say "from the point where t=0.")

Homework 6, Exam 2 on Friday, October 14:
Section 3.3 (112, 114, 120, 124, 140, 150)
Section 4.1 (4, 14, 18, 22, 46, 50, 54, 56)
Section 4.2 (62, 64, 72, 74, 82, 86, 88)

Homework 7, Quiz on Wednesday, October 26:
Section 4.3 (120, 122, 128, 130, 138, 140, 148, 150)
Section 4.4 (164, 170, 174, 176, 180, 184)

Homework 8, Quiz on Wednesday, November 2:
Section 4.4 (192, 194, 195, 198, 199, 207, 208)
Section 4.5 (218, 219, 221, 222, 227, 228, 233, 234, 245)
Section 4.6 (265, 266)

Homework 9, Quiz on Wednesday, November 9:
Section 4.6 (268, 270, 271, 274, 275, 278, 279, 280, 281, 290, 291, 294, 295, 300, 303, 304)

Homework 10, Exam 3 on Monday, November 21:
Section 4.7 (311, 312, 314, 315, 318, 321, 324, 333)
Section 5.1 (14, 17, 21, 26, 29, 33, 34)
Section 5.2 (69, 72, 73, 74, 75, 86, 87, 96, 97)

Homework 11, for a Take-Home/Partner Quiz, assigned on Wednesday, December 7, due on Thursday, December 8:
Section 5.3 (122, 124, 126, 130, 138, 139, 145, 146, 148, 149)
Section 5.4 (182, 191, 192, 195, 196, 203, 204)
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.


Exams:

Exams and Solutions are posted on Sac CT.




Lecture Schedule

DateTopicsBook
1. M 8/29 Introduction; Cartesian Coordinates in Space. § 2.1-2.2
2. W 8/31 Intro to Vectors, I. § 2.1-2.2
3. R 9/1 Intro to Vectors, II. § 2.1-2.2
4. F 9/2 The Dot Product, I. § 2.3
M 9/5 NO CLASS (Labor Day)
5. W 9/7 The Dot Product, II. § 2.3
6. R 9/8 The Cross Product, I. § 2.4
7. F 9/9 The Cross Product, II. § 2.4
8. M 9/12 The Cross Product, III. § 2.4
9. W 9/14 Lines in Space. § 2.5
10. R 9/15 Lines, Projections, Distances. § 2.5
11. F 9/16 Planes. § 2.5
12. M 9/19 Planes intersecting things. § 2.5
W 9/21 EXAM 1
13. R 9/22 Vector-Valued Functions, I. § 3.1
14. F 9/23 Calculus with Vector-Valued Functions, I. § 3.2
15. M 9/26 Calculus with Vector-Valued Functions, II. § 3.2
16. W 9/28 Arclength. § 3.3
17. R 9/29 Parametrizing with Respect to Arclength; Curvature. § 3.3
18. F 9/30 Curvature, cont'd. § 3.3
19. M 10/3 Unit Tangent, Normal, Binormal Vectors. § 3.3
20. W 10/5 Functions of Several Variables. § 4.1
21. R 10/6 Functions of Several Variables, cont'd. § 4.1
22. F 10/7 Level Curves; Level Surfaces. § 4.1
23. M 10/10 Limits of Multivariable Functions. § 4.2
24. W 10/12 Review.
25. R 10/13 Review.
F 10/14 EXAM 2
26. M 10/17 Partial Derivatives, I. § 4.3
27. W 10/19 Partial Derivatives, II. § 4.3
28. R 10/20 Tangent Planes and Linear Approximations, I. § 4.4
29. F 10/21 Tangent Planes and Linear Approximations, II. § 4.4
30. M 10/24 Differentiability of Multivariable Functions. § 4.4
31. W 10/26 the Multivariable Chain Rule. § 4.5
32. R 10/27 Chain Rule, cont'd; Implicit Differentiation. § 4.5
33. F 10/28 Directional Derivatives, I. § 4.6
34. M 10/31 Directional Derivatives, II. § 4.6
35. W 11/2 Directional Derivatives, III. § 4.6
36. R 11/3 Directional Derivatives, IV. § 4.6
37. F 11/4 Directional Derivatives, V. § 4.6
38. M 11/7 Extreme Values, I. § 4.7
39. W 11/9 Extreme Values, II. § 4.7
40. R 11/10 Double Integrals, I. § 5.1
F 11/11 NO CLASS (Veterans Day)
41. M 11/14 Double Integrals, II. § 5.1
42. W 11/16 Double Integrals, III. § 5.2
43. R 11/17 Homework in Class. § 1.3, 5.3
44. F 11/18 Review.
M 11/21 EXAM 3
45. W 11/23 Double Integrals in Polar Coordinates, I. § 5.3 and Typed Notes.
R-F 11/24-25 NO CLASS (Thanksgiving)
46. M 11/28 Double Integrals in Polar Coordinates, II. § 5.3
47. W 11/30 Triple Integrals, I. § 5.4
48. R 12/1 Triple Integrals, II. § 5.4
49. F 12/2 Cylindrical and Spherical Coordinates. § 2.7 and Typed Notes.
50. M 12/5 Spherical Coordinates. § 2.7 and Typed Notes.
51. W 12/7 Line Integrals, I. § 6.1 and Typed Notes.
52. R 12/8 Line Integrals, II. § 6.1 and Typed Notes.
53. F 12/9 Review.
FINAL EXAM: 12/14, 10:15am-12:15pm (12pm class), 12/16, 8-10am (10am class)