MATH 233 : SECTION 5 : SPRING 2006
GENERAL INFORMATION
Instructor: Mike Diehl
Office: LGRT 1323H Phone: 545-1855 Email: diehl@math.umass.edu
Lecture: Tuesdays and Thursdays from 9:30-10:45 in LGRT 119
Office Hours: In addition to my office hours, our TA, Hiro Oh, will have office hours
LINKS
EXAMS : You will be permitted to use a calculator on the exams, but only for arithmetic. All other work must be done by hand in order to receive credit. The exams are closed book and closed notes, but you will be provided with a formula sheet to cut back on memorization.
If you NEED to take a makeup exam, you MUST let me know at least a week in advance. Makeup exams will only be given to students in the cases outlined in the COURSE MAKEUP POLICY.
HOMEWORK ASSIGNMENTS
For each assignment, you have the option of either taking a quiz or turning in a written homework assignment. If you choose to take a quiz, it will be at the end of class on the date indicated, and will consist of a few problems from the suggested list. If you choose to turn in written homework, you should write up all of the suggested problems for the given sections, and they should be turned in no later than noon on the due date indicated. Either way, you'll receive a score out of 100, and it will count as your grade for that assignment. Your two lowest scores will be dropped. Unclaimed HW/quizzes will be placed in an envelope on my office door.
| Section | Due | Topic | Recommended Problems |
| 12.1 | 2/9 | Three-dimensional coordinate systems | 3, 7, 11, 13, 17, 23, 31, 41 |
| 12.2 | 2/9 | Vectors | 3, 5, 11, 15, 19, 21, 25, 31 |
| 12.3 | 2/9 | The dot product | 5, 7, 9, 11, 17, 19, 21, 23, 27, 37, 39, 43, 51 |
| 12.4 | 2/16 | The cross product | 5, 11, 13, 15, 25, 29, 39, 45 |
| 12.5 | 2/16 | Equations of lines and planes | 3, 5, 7, 13, 19, 23, 31, 35, 39, 45 |
| 12.6 | 2/23 | Cylinders and quadric surfaces | 3, 5, 13, 17, 21-28 |
| 10.1 | 2/23 | Curves defined by parametric equations | 5, 7, 19, 21 |
| 13.1 | 2/23 | Vector functions and space curves | 1, 3, 11, 19, 21, 24, 33, 39 |
| 13.2 | 3/2 | Derivatives and integrals of vector functions | 3, 9, 11, 13, 19, 23, 31, 33, 39 |
| 13.3 | 3/2 | Arc length (omit curvature) | 1, 3, 5 |
| 13.4 | 3/2 | Motion in space: velocity and acceleration | 3, 11, 15, 19, 23 |
| 14.1 | 3/9 | Functions of several variables | 13, 23, 25, 30, 37, 39 |
| 14.2 | 3/9 | Limits and continuity | 5, 7, 11 |
| 14.3 | 3/9 | Partial derivatives | 3, 15, 17, 21, 35, 49 |
| EXAM 1 | 3/14 | Covers everything up to here (14.3) | 6:30 - 8:00 in HASBROUCK 20 |
| 14.4 | 3/30 | Tangent planes and linear approximations | 3, 11, 17, 29 |
| 14.5 | 3/30 | The chain rule | 5, 11, 13, 21, 29, 35 |
| 14.6 | 3/30 | Directional derivatives and the gradient vector | 5, 9, 11, 15, 21, 39, 53 |
| 14.7 | 4/6 | Maximum and minimum values | 7, 9, 11, 29, 31, 37, 43 |
| 14.8 | 4/6 | Lagrange multipliers | 5, 7, 9, 11, 15, 19 |
| 15.1 | 4/13 | Double integrals over rectangles | 1, 5 |
| 15.2 | 4/13 | Iterated integrals | 3, 7, 11, 15, 20, 25 |
| 15.3 | 4/18 | Double integrals over general regions | 9, 15, 19, 23, 27, 39, 45 |
| EXAM 2 | 4/24 | Covers sections 14.4 - 15.3 | 6:30 - 8:00 in MARCUS 131 |
| 10.3 | 4/27 | Polar coordinates (omit tangents) | 3, 5, 7, 9, 12, 31 |
| 15.4 | 4/27 | Double integrals in polar coordinates | 9, 10, 13, 19, 23, 29 |
| 15.5 | 4/27 | Applications of double integrals | 23, 24, 25 |
| 16.1 | 5/4 | Vector fields | 3, 12, 13, 25, 29, 30, 31, 32 |
| 16.2 | 5/4 | Line integrals | 5, 15, 17, 19, 39 |
| 16.3 | 5/11 | The fundamental theorem for line integrals | 3, 5, 13, 15, 19 |
| 16.4 | 5/11 | Green's theorem | 3, 7, 11, 13, 17 |
| FINAL | 5/24 | Covers the entire course | 10:30 - 12:30 in TOTMAN GYM |
GENERAL COURSE OUTLINE
| Week of | Tues | Thurs |
| February 1 | 12.1, 12.2 | 12.2, 12.3 |
| February 6 | 12.3, 12.4 | 12.5 |
| February 13 | 12.6, 10.1 | 13.1, 13.2 |
| February 20 |
Monday Schedule |
13.2, 13.3 |
| February 27 | 13.4, 14.1 | 14.1, 14.2 |
| March 6 | 14.3 | Review for Exam 1 |
| March 13 | 14.4 | 14.5 |
|
March 20 |
SPRING |
BREAK |
| March 27 | 14.6 | 14.7 |
| April 3 | 14.8 | 14.8, 15.1 |
| April 10 | 15.2 | 15.3 |
| April 17 | 10.3, 15.4 | Review for Exam 2 |
| April 24 | 15.4, 15.5 | 16.1 |
| May 1 | 16.2 | 16.3 |
| May 8 | 16.3, 16.4 | 16.4 |
| May 15 | Review for Final Exam |