Text: Multivariable Calculus: Concepts and
Contexts by James Stewart
Link to Website
NOTES
1. The above website will have the most up to date information about the course, including this syllabus, practice exams, etc.
2. All students in this course are expected to have a calculator like the TI-92 with capabilities for symbolic calculations. There will be assignments that use such a calculator as well as questions on the common final exam for which it is expected that the student has such a calculator. Students will also be expected to use the Maple software issued on their computers. Use of Maple (or a calculator) is expected on problems preceded by an M. The underlined references (such as C3M#) refer to chapter C3M# in Prof. C. E. Moore's Maple Notes for Calculus III (available online with Acrobat Reader).
3. Before doing the problems, you should carefully read the section(s) in the text. You are expected to do all assigned problems completely and professionally. If you have difficulty with these problems, you should reread the appropriate sections of the text and attempt additional problems. Remember that the goal is to understand the material.
4. If you would like help in the course, you should contact your instructor for extra instruction. Help is also available at 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.).
5. Exercises and test questions that ask for verbal explanations should be answered with complete sentences.
6. Holidays, Academic Reserve periods, and when grades are due are completely determined by the calendar. But dates for the various assignments will rarely be exact, because they depend on student questions, student participation, and instructor emphasis.
| LESSON (Day-Date) | SECTION & TOPIC | PROBLEMS | |
| 1 | Mon 21 Aug | Admin. & Course Description Review 9.1 Three Dimensions | |
| p. 650: 6, 8, 10, 12, 21, 22, 24, 28. | |||
| 2 | Review
9.2 Vectors Review 9.3 Dot Product | p. 658: 2, 4, 12, 16, 20, 26. p. 665: 1, 2, 5, 8, 10, 14, 15, 22. | |
| 3 | Review 9.4 Cross Product | p. 673: 1, 2, 8, 12, 14,16, 22. (Omit vector triple
product.) Torque Wrench Web Lab | |
| 4 | Fri 25 Aug | Review 9.5 Lines | p. 682: 1, 2, 6, 8, 10, 14, 16. |
| 5 |
Mon 28 Aug |
Review 9.5 Planes | p. 682: 12, 18, 20, 22, 26, 30, 31, 33, 42, 44, 48. |
| 6 | 9.6 Functions & Surfaces | p. 691: 1, 2, 4, 10, 14. | |
| 7 | 9.6 (continued) | p. 691: 15, 16, 18, 21, 22, M28 (C3M1) | |
| 8 | Fri 1 Sep | 9.7 Cylindrical & Spherical | p. 696: 1, 2, 4, 6, 8, 10, 11-24 (C3M2) |
| 9 | Review | ||
| 10 | Review | ||
| 11 | Fri 8 Sep | Test 1 on Chapter 9 | |
| 12 | Mon 11 Sep | 10.1 Vector Functions & Space Curves | p. 708: 1, 5-10, 14, 20. |
| 13 | 10.2 Derivatives and Integrals of Vector Functions | p. 715: 2, 4, 8, 14, M23 (C3M1) | |
| 14 | 10.3 Arc Length & Curvature | p.
722: 2, M6, 17, 24 (C3M1) (Omit N, B, & parameterization by arc length.) | |
| 15 | Fri 15 Sep | 10.4 Motion in Space | p. 731: 1, 2, 6, 12, 16, 18, 20, 26. |
| 16 | Mon 18 Sep | 10.4 (continued - Omit Kepler.) | p. 732: 18, 20, 26 (C3M3), handout. |
| 17 | 10.5 Parametric Surfaces | p. 738: 1-4, 9-14, 16, 18 (C3M4) | |
| 18 | Review | ||
| 19 | Fri 22 Sep | 11.1 Functions of Several Variables | p.756: 2, 4, 6, 9, 10, 12, 14. |
| 20 | Mon
25 Sep Academic Reserve | 11.1/11.3 Partial Derivatives | p. 758: 29-36; p. 775: 1, 4, 6. Hill Web Lab |
| 21 | Academic Reserve | 11.3 (continued) | p. 776: 11, 12, 20, 22, 52. |
| 22 | Academic Reserve | 11.4 Tangent Planes & Linear Approximations | p.
787: 1, 4, 10, 18, M34 (C3M5a) (Omit differentials.) |
| 23 | Fri
29 Sep Academic Reserve | 11.5 Chain Rule | p. 796: 3, 7, 16, 22, 28. |
| 24 | Mon 2 Oct | 11.5/11.6 Directional Derivative | p. 797: 29; p. 808: 1, 3. |
| 25 | 11.6 (continued) | p. 809: 12, 16, 17, 22, 24, 28. | |
| 26 | 11.7 Max/Min Values | p.
818: 3, 4, M7 (C3M6) (Material before 2nd Derivative Test.) | |
| 27 | Fri 6 Oct | Review | |
| 28 | Test 2 on Chapters 10 and 11 | ||
| 29 | 12.1 Double Integrals over Rectangles | p. 848: 1, 6. | |
| 30 | Fri 13 Oct | 12.2 Iterated Integrals | p. 854: 3, 8, 9, 16, M25 (C3M1) |
| 31 | Mon 16 Oct | 12.3 Double Integrals over General Regions | p. 862: 2, 6, 15, M23 (C3M7) |
| 32 | 12.3/12.4 Double Integrals in Polar Coordinates | p. 862: 26, 31; p. 868: 1-6 (C3M8) | |
| 33 | 12.4 (continued) | p. 862: 8, 15, 23, 27 (C3M9) | |
| 34 | Fri 20 Oct | 12.6 Surface Area | p. 883: 1, 4, 8, M12, 15 (C3M10) |
| 35 | Mon 23 Oct | 12.7 Triple Integrals | p. 892: 2, 5, 9, 10, 15. |
| 36 | 12.7 (continued) | p. 892: M19, 24, 27, 31, 36a (C3M11) | |
| 37 | 12.8 Triple Integrals - Cylindrical Coordinates | p. 898: 1, 5, 7, 8. | |
| 38 | Fri 27 Oct | 12.8
Triple Integrals - Spherical Coordinates | p. 898: 3, 6, 15, 22, M28, 33 (C3M12a) |
| 39 | Mon
30 Oct Academic Reserve | Review | |
| 40 | Academic Reserve | Test 3 on Chapter 12 | |
| 41 | Academic Reserve | 13.1 Vector Fields | p. 923: 2, 6, 7, 11-14 (modified scale). |
| 42 | Fri
3 Nov Academic Reserve | 13.1 (continued) | p. 923: 15-18, M19, 22, 26, M27 (fieldplot) |
| 43 | Mon 6 Nov | 13.2 Line Integrals | p. 934: 1, 4, 6, 9. |
| 44 | 13.2 (continued) | p. 934: 13, 14, 17, M24, 37 (C3M14) | |
| 45 | 13.3 Fundamental Theorem for Line Integrals | p. 944: 1, 4, 6, 9. | |
| 46 | Mon 13 Nov | 13.3/13.4 Green's Theorem | p. 945: 15, 23; p. 952: 2, 5. |
| 47 | 13.4 (continued) | p. 952: 9, 15, 17 (C3M15) | |
| 48 | 13.5 Curl & Divergence | p. 959: 1, 4, 7-16. | |
| 49 | Fri 17 Nov | 13.5/13.6 Surface Integrals | p. 960: 19, 20; p. 971: 1, 6, 7. |
| 50 | Mon 20 Nov | 13.6 (continued) | p. 972: 16, 17, M26 (C3M15) |
| 51 | 13.7 Stokes' Theorem | p. 977: 1, 2, 5, 8. | |
| 52 | Mon 27 Nov | 13.7 (continued) | p. 977: 9, M11, 17 (C3M16) |
| 53 | 13.8 Divergence Theorem | p. 984: 1, 2, 5, 8. | |
| 54 | 13.8 (continued) | p. 985: 11, M13, 15, 20, 21 (C3M17) | |
| 55 | Fri 1 Dec | Review | |
| 56 | Mon 4 Dec | Test 4 on Chapter 13 | |
| 57 | Review | ||
| 58 | Review | ||