Contents are updated and revised regularly · Please check back often · updated 2006/12/01 · Main Page


Announcements

01/12

Reminder: Our final exam is December 9, 7:00 PM in WS 55. Bring your student ID cards. No calculators, notes, books, etc... allowed for the exam.

15/11

There will be help center hours preceding our final exam. The schedule is:

November 29, 6:00 - 8:00, MC 108 :: November 30, 5:00 - 7:00, MC 108
December 5, 5:00 - 7:00, MC 108 :: December 6, 6:00 - 8:00, MC 108
December 7, 3:00 - 5:00, MC 107 :: December 8, 3:00 - 5:00, MC 106

15/11

Some old finals: 2000, 2001, 2002, 2003.

07/11

Reminder: the final is scheduled for December 09. Should you have an exam conflict it is your responsibility to pay a visit to the Office of the Registrar. Should you have 3 exams in a 24 hour period you may pay a visit to the dean of your faculty. In both cases you should also let me know.

06/11

There will be no class Friday, November 17.

13/10

Here are some sketches of solutions to the midterm.

03/10

Here are some solutions to the additional review problems for chapter 14.

Here are some solutions to the practice midterm.

29/9

Important: Should you have another midterm at the same time as ours, please let me know ASAP. Should you find yourself ill, please inform me as soon as you realize that you will be unable to write the midterm. It is school policy that you provide a doctor's note. Please be prepared to do so if you wish to write the make-up.

There will be help center hours preceeding the exam:
October 10, 6:00-8:00, MC 106 :: October 11 6:00-8:00, MC 108 :: October 12, 5:00-7:00, MC 106.

Here are some solutions to the additional review problems for chapter 13.

Here are some solutions for the surface sketching problems.

Here are some additional review problems for chapter 14 (plus an additional chapter 13 problem which somehow was cut from the previously posted set of problems).

25/9

Reminder: The Midterm is scheduled for Friday, October 13, 2006 from 7:00-9:30 in  HSB 236, HSB 240.

The midterm will cover 13.1-13.6,14.1-14.4.

Here is a midterm I gave for a similar class elsewhere. It is a shorter midterm than ours, but it should give you an idea of the style of questions I like to ask. (The last problem on this midterm isn't relevant to our class).

Here are some additional review problems on chapter 13 (a typo fixed 07/10/06 in #15c).



Lectures

Tentative Lecture Schedule




8/9
13.1 Coordinate systems
11/9
13.2 Vectors
13/9
13.3 Dot product
15/9
13.4 Cross product
18/9
13.5 Lines/planes in space
20/9
13.5/13.6
22/9
13.6 Surfaces in space
25/9
14.1 Vector-valued functions
27/9
14.2 Calculus of vector-valued functions
29/9
14.3/14.4 Motion in space, arclength
4/10
14.3/14.4 Curvature, unit tangent and normal vectors
6/10
Midterm review
9/10
Thanksgiving. No class
11/10
15.1 Midterm review, intro to several variable functions
13/10
15.1 Several variable functions, basic notions
16/10
15.2 Limits of several variable functions
18/10
15.2/15.3 Continuity of several variable functions, partial derivatives
20/10
15.3 Partial derivatives
23/10
15.4 Tangent planes and linear approximation
25/10
15.4 Differentials and linear approximation
27/10
15.5 Chain rule
30/10
15.5 Implicit differentiation
1/11
15.6 Directional derivative, gradient
3/11
15.6/15.7 Gradient, tgt planes, intro to extrema
6/11
15.7 Local extrema, 2nd derivative test
8/11
15.7 Method of steepest ascent, global extrema
10/11
15.8 Lagrange multipliers
13/11
15.8 Lagrange multipliers
15/11
15.8 Lagrange multipliers
17/11
No Class
20/11
13.7 Other coordinate systems: spherical and cylindrical coordinates
22/11
13.7/17.6 Parametric surfaces
24/11
17.1 Vector Fields
27/11
17.5 Vector Fields/Curl and Divergence
29/11
17.5 Curl and Divergence
1/12
Review
4/12
Review
6/12
Review


Exercises

I am not collecting homework, however in order to learn the material it is strongly advisable to complete exercises on a regular basis. The text includes a multitude of additional problems should you desire further practice.

Suggested Exercises






13.1 :: 2,9,11,15,19,21


13.2 :: 11,13,19,21,25,35,38,39


13.3 :: odd #1-9, 13,15,19,23,26,27,37,41,43,51,54,59


13.4 :: 2,3,5,12,15,18,23,24,29,31,39-41,43-45


13.5 :: 3,7,11,13,15,16,21-23, odd #25-41, odd #45-65, 66, 67, 70, 71


13.6 :: 1,3,odd #9-27,41


14.1 :: 1, 3, 4, 19, 21, 23


14.2 :: odd #3-19, 23, 32-35, 39, 42, 43, 45, 47, 49-51


14.3 :: 1, 3, odd #9-23, 36, 37, 47


14.4 :: 3, 5, 11, 15, 17(a)


15.1 :: 6-11, 13, 15, 23, 25, 29, 37, 41, 43, odd #53-61


15.2 :: 3, 7, 9, 10, 11, 13, 15, 16, 23, 29, 31, 35


15.3 :: 9, odd #13-29, 35, 37, odd #45-57, 61, 73, 83, 89


15.4 :: 1, 3, 5, 17, 19, 23, 25, 27, 29, 31


15.5 :: 1, 3,-5, odd #7-23, 25, 27, 29, 31, 39, 43, 45, 46, 47, 51,


15.6 :: 3,-5, 7, 9, 11, 17, 21, 25, 29, 31, 37(a)(b), 39(a), 41(a), 43, 47, 51, 59, 61, 63


15.7 :: 5, 7, 13, 15, 27, 31, 37, 39, 41, 45, 49,


15.8 :: 3, 11, 15, 17, 25, 27, 29, 33, 38, 39


13.7 :: 3, 5, 11, 15, 19, 21, 23, 31, 33, 37, 43, 49, 51, 53, 59


17.6 :: 1, 3, 17, 19, 21, 23


17.1 :: 1, 3, 7, 11-14, 15-18, 21, 23


17.5 :: 1, 3, 5, 13, 15, 17, 19, 23, 25, 29