Text: Multivariable Calculus: Concepts and Contexts by James Stewart
NOTES:
1. We will be continuing from Calculus II with the same textbook and calculator. The website will have the most up to date information about the course, including this syllabus, practice exams, etc.
2. Some of the problems assigned require some assistance from a computer. To solve these problems, you should apply programs from the TI-92 or from MAPLE. In all cases, you should learn to make creative use of both these software tools to help you analyze problems.
3. The value you get out of this course is proportional to the effort you put into it. Keep in mind that the primary goal (and your responsibility) is not just doing the problems, but rather understanding the material. Exercises that ask for verbal explanations should be answered with complete sentences.
4. If you would like help in the course, you should contact your instructor for extra-instruction. If your instructor is not available, try the Math Lab in C216a. It is staffed all six class periods every class day with instructors who should be able to answer your questions. Also, hard copies of web page information will be kept there (syllabi, practice tests, etc.). Peer tutoring may also be available in the evenings.
5. The final exam will be common and comprehensive.
| Lesson | Topics | Section | Problems |
| 1 | Three-Dimensional Coordinate System | 9.1 | p650: 1-10, 17-26 |
| 2 | Vectors | 9.2 | p658: 1-4,11-17,19-23 |
| 3 | Dot Product | 9.3 | p665: 1-8,10-15 |
| 4 | Dot Product | 9.3 | p665: 16-24 |
| 26-27 August | |||
| 5 | Hour Exam | ||
| 6 | Cross Product | 9.4 | p673: 1-16 |
| 7 | Equations of Lines and Planes | 9.5 | p682: 1-12 |
| 8 | Equations of Lines and Planes | 9.5 | p683: 15-26 |
| 2-4 September (Labor Day) | |||
| 9 | Equations of Lines and Planes | 9.5 | p683: 27-30,33-35,41-44 |
| 10 | Functions and Surfaces | 9.6 | p691: 1,2,9-12 |
| 11 | Functions and Surfaces | 9.6 | p691: 13,15,19,20,25-28 |
| 9-10 September | |||
| 12 | Vector Functions and Space Curves | 10.1 | p708: 5-12 |
| 13 | Vector Functions and Space Curves | 10.1 | p709: 13-19,21-24 |
| 14 | Derivatives and Integrals of Vector Functions | 10.2 | p714: 1,3-11 |
| 15 | Derivatives and Integrals of Vector Functions | 10.2 | p714: 12-14,19-24,27,28,29-34 |
| 16-17 September | |||
| 16 | Motions in Space | 10.4 | p732: 1-10 |
| 17 | Motions in Space | 10.4 | p732: 11-16 |
| 18 | Motions in Space | 10.4 | p732: 17-23 |
| 19 | Review | ||
| 23-24 September | |||
| 20 | Hour Exam | ||
| 21 | Functions of Several Variables | 11.1 | p756: 1-4,9-17 |
| 22 | Functions of Several Variables | 11.1 | p756: 19-21,23,24,27 |
| 23 | Functions of Several Variables | 11.1 | p756: 29-34,35,36 |
| 30 September - 01 October | |||
| 24 | Partial Derivatives | 11.3 | p775: 1-4,6 |
| 25 | Partial Derivatives | 11.3 | p776: 11-34 |
| 26 | Partial Derivatives | 11.3 | p777: 39-42,45-50,52,58,59,68 |
| 27 | Tangent Planes and Approximations | 11.4 | p797: 1-4,7,9,10 |
| 07-09 October (Columbus Day) | |||
| 28 | Tangent Planes and Approximations | 11.4 | p797: 11-17 |
| 29 | The Chain Rule | 11.5 | p796: 1-8,31,34 |
| 30 | The Chain Rule | 11.5 | p796: 9,10,15-18,28,30,33 |
| 14-15 October | |||
| 31 | The Chain Rule | 11.5 | p796: 20-27,29,32 |
| 32 | Review | ||
| 33 | Hour Exam | ||
| 34 | Directional Derivatives and the Gradient Vector | 11.6 | p808: 1-8 |
| 21-22 October | |||
| 35 | Directional Derivatives and the Gradient Vector | 11.6 | p809: 9-16,19,20 |
| 36 | Directional Derivatives and the Gradient Vector | 11.6 | p809: 21,22,24,26-30 |
| 37 | Maximum and Minimum Values | 11.7 | p818: 1-6,37,42 |
| 38 | Maximum and Minimum Values | 11.7 | p819: 7-11,29,39,43 |
| 28-29 October | |||
| 39 | Maximum and Minimum Values | 11.7 | p819: 12-18,31,40,44 |
| 40 | Maximum and Minimum Values | 11.7 | p819: 19,20,33,41,45 |
| 41 | Lagrange Multipliers | 11.8 | p828: 1-6,23 |
| 42 | Lagrange Multipliers | 11.8 | p828: 7-11,24 |
| 04-05 November | |||
| 43 | Lagrange Multipliers | 11.8 | p828: 12-16,21,36 |
| 44 | Lagrange Multipliers | 11.8 | p828: 17-19,22,37 |
| 45 | Review | ||
| 10-12 November (Veteran's Day) | |||
| 46 | Hour Exam | ||
| 47 | Double Integrals over Rectangles | 12.1 | p848: 5,6,8,9,10 |
| 48 | Iterated Integrals | 12.2 | p854: 1-7,20 |
| 49 | Iterated Integrals | 12.2 | p854: 8-15,18,22 |
| 18-19 November | |||
| 50 | Double Integrals over General Regions | 12.3 | p862: 1-9 |
| 51* | Instructor's Option | ||
| 52 | Double Integrals over General Regions | 12.3 | p862: 10-17 |
| 23-26 November (Thanksgiving) | |||
| 53 | Double Integrals over General Regions | 12.3 | p862: 25-36 |
| 54 | Applications of Double Integrals | 12.5 | p878: 3-10,19,22 |
| 55 | Review | ||
| 56 | Hour Exam | ||
| 2-3 December (Army-Navy) | |||
| 57 | Review | ||
| 51* | Instructor's Option | ||
| 58 | Review | ||
* Courses will have exactly one of the these two days, depending on whether the course meets on Tuesday or Thursday. Note that Tuesday of the last week of class will be a "Thursday schedule", and Wednesday will be a "Friday schedule".
Reading Day: 07 December 2000
Final Examinations: 08,11-16 December 2000