Calculus III Syllabus Materials from Calculus III Spring 2003 (Previous Semester Course) 

Week 1. 1. Read through Chapter 12, pp. 783808, making sure you understand the detailed Examples. 2. Exercises 12.1 on p. 787: 3, 5, 7, 11, 15. 3. Exercises 12.2 on p. 795: 725 (odd). 4. Exercises 12.3 on p. 802: 3, 5, 7, 13, 17, 19, 25, 27. 

Week 2. 1. No class Monday, Labor Day, 9012003. 2. Exercises 12.4 on p. 809: 19 (odd). 3. Selected Homework: Exercises 13, 14, 16, 19, 21 on p. 810, due Wednesday, 9032003. 4. Quiz 1 on Vectors Sections 12.112.4, Friday, 9052003. 

Week 3. 1. Read through Chapter 12, pp. 812825, making sure you understand the detailed Examples. 2. Exercises 12.5 on pp. 818819: 3, 5, 7,
9, 11, 15, 17.
4. Selected Homework:
Exercises 19, 21, 37 on p. 819, due Friday, 9122003.


Week 4. 1. Read through Chapter 13, pp. 837847, making sure you understand the detailed Examples. 2. Exercises 13.1 on p. 842: 1, 3, 5, 712. 3. Selected Homework: Exercises 59, 62, 63, 67 on p. 820, due Friday, 9192003. 4. Quiz 2 on Vectors & Geometry of Space, Section 12.5, Friday, 9192003. 

Week 5. 1. Read through Chapter 13, pp. 849855, making sure you understand the detailed Examples. 2. Exercises 13.2 on pp. 848849: 119 (odd), 33, 35. 3. Exercises 13.3 on pp. 855856: 1, 3, 7, 9, 11, 13, 15, 17, 19, 33, 35. 4. Selected Homework: Exercises 21, 22, 31, 47 on pp. 848849, due Friday, 9262003.


Week 6. 1. Read through Chapter 13, pp. 857865, making sure you understand the detailed Examples. 2. Exercises 13.4 on pp. 865866: 3, 5, 7, 11, 13, 15, 29, 31, 33. 3. Quiz 3 on Vector
Functions, Curves, and T, N, B, Sections 13.113.3,
Friday,
10032003.


Weeks 7 & 8. 1. Frenet Frames and Formulas: Section 1. Read notes below and verify all the details of the examples. 2. Frenet Frames and Formulas: Section 2. Read notes below and verify all the details of the examples. 3. Selected Homework:
Exercises 39 on p. 856, and Exercises 3.2 & 3.3 in Frenet Frames 2
(link above), due Friday, 10102003.
2. Takehome Quiz 4 on Frenet Frames and Formulas,
due Tuesday, 10212003.
3. Fall Break, Friday, 10172003. 

Week 9. 1. Read through Chapter 14 Partial Derivatives pp. 872923, making sure you understand the detailed Examples. 2. Exercises 14.4 on p. 906: 9, 11, 13, 15, 17, 21, 23, 27, 33. 3. Exercises 14.5 on p. 924: 131 (odd).


Week 10. 1. Selected Homework: Exercises 2126 on p. 937, due Monday, 102703. 2. Continue working on Chapter 14 material.
2. Selected Homework: Exercises 515 (odd) on pp. 947948, due Monday, 110303. 

Weeks 11 & 12. 1. Quiz 5 on Partial Derivatives, the Gradient, and Critical Points, Wednesday, 1152003. 2. Selected Homework: TBD. 3. Read through Chapter 15 Multiple Integrals pp. 966980, making sure you understand the detailed Examples. 4. Exercises 15.2 on pp. 980981: 319 (odd), 23, 25. 5. Exercises 15.5 on p. 1004: 17 (odd). 6. Exercises 15.6 on p. 1008: 17 (odd). 7. Selected Homework:
Exercise 25 on p. 981, Exercise 5 on p. 1004, Exercises 3 and 5 on p. 1008,
due Friday, 11142003.


Week 13. 1. Read through Chapter 16 Vector Calculus pp.10401066, making sure you understand the detailed Examples. 2. Exercises 16.1 on p. 1046: 17 (odd), 1114 (matching exercises), 1518 (matching exercises). Answers to Exercises: Vector Field Plots NO CLASS TODAY, TUESDAY, 111803 3. Exercises 16.2 on p. 1057: 121 (odd). 4. Exercises 16.3 on pp. 10661067: 321 (odd). 5. Selected Homework: Exercises 1922 on p. 1057, Exercises 3, 5, 7, 15 on pp. 10661067, due Friday, 11212003. 

Weeks 14 & 15. 1. Continue working on Chapter 16 Vector Calculus. 2. Exercises 16.4 on p. 1046: 17 (odd), 1114 (matching exercises), 1518 (matching exercises). 3. Thanksgiving Holiday: WednesdayFriday, 112603 through 112803. 4. Exercises 16.5 on p. 1057: 121 (odd). 5. Exercises 16.6 on pp. 10661067: 321 (odd). 6. Selected Homework: TBD, due Friday, 12052003.


Final Exam: Hints for Problems 4, 5, and 6. Please read the questions carefully and refer to the notes and definitions in the book. Believe it or not every word used has a precise definition that we have discussed, and used, and that is in the text ;) WorkThe integral near the middle of page 1055, and which is illustrated in Example 7 on page 1055, Example 8 on page 1056, and in the selected homework we did. Conservative Vector Field & Independence of PathTheorem 2 on page 1059, the first sentence in the Note immediately following Theorem 2, and the sentence near the bottom of page 1060, beginning "In other words,"these concepts are illustrated in the examples in this section of the book and in the selected homework we did. In Problem 4., you have an example of a non conservative vector field that just happens to yield the same answers for the two paths given. Problem 5. is a continuation of Problem 4., but with two new paths that yield different answers for the work along these new paths. Note that in both of these problems you must find the equation of a line that passes through two given points. In Problem 6., you have an example of a conservative vector field, so this in contrast to the previous two problems. In all three of these problems you are asked to "Draw an accurate diagram containing both paths"please do exactly (and only) that, namely sketch a 3D diagram with both paths and both end points drawn and labeled. Finally, if you are having trouble getting certain answers to come out the way you know they should, you will get additional partial credit by clearly explaining the mathematical reasons why they should be what you know they should be. That's about all I can say, except good luck !
