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Calculus III: Tentative Schedule Spring 2003

Calculus III Syllabus

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Week 1. 

1. Read through Chapter 12, pp. 783-808, 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: 7-25 (odd).

4. Exercises 12.3 on p. 802: 3, 5, 7, 13, 17, 19, 25, 27.


Week 2. 

1. No class Monday, MLK Birthday, 1-20-2003.

2. Exercises 12.4 on p. 809: 1-9 (odd).

3. Selected Homework: Exercises 13, 14, 16, 19, 21 on p. 810, due Wednesday, 1-22-2003.

4. Quiz 1 on Vectors Sections 12.1-12.4, Friday, 1-24-2003.

    Quiz 1


Week 3. 

1. Read through Chapter 12, pp. 812-825, making sure you understand the detailed Examples.

2. Exercises 12.5 on pp. 818-819: 3, 5, 7, 9, 11, 15, 17.

3. Exercises 12.6 on pp. 825-826: 1, 3, 5, 7, 9, 21-28.

4. Selected Homework: Exercises 19, 21, 37 on p. 819, due Friday, 1-31-2003.
 


Week 4. 

1. Read through Chapter 13, pp. 837-847, making sure you understand the detailed Examples.

2. Exercises 13.1 on p. 842: 1, 3, 5, 7-12.

3. Selected Homework: Exercises 59, 62, 63, 67 on p. 826, due Friday, 2-7-2003.

4. Quiz 2 on Vectors & Geometry of Space, Sections 12.5-12.6, Friday, 2-7-2003.

    Quiz 2
 


Week 5. 

1. Read through Chapter 13, pp. 849-855, making sure you understand the detailed Examples.

2. Exercises 13.2 on pp. 848-849: 1-19 (odd), 33, 35.

3. Exercises 13.3 on pp. 855-856: 1, 3, 7, 9, 11, 13, 15, 17, 19, 33, 35.

4. Selected Homework: Exercises 21, 22, 31, 47 on pp. 848-849, due Friday, 2-14-2003.

5. Quiz 3 on Vector Functions, Curves, and T, N, B, Sections 13.1-13.3, Friday, 2-14-2003.

   Quiz 3
 


Week 6.

1. Read through Chapter 13, pp. 857-865, making sure you understand the detailed Examples.

2. Exercises 13.4 on pp. 865-866: 3, 5, 7, 11, 13, 15, 29, 31, 33.

3. Selected Homework: Exercises 39, 41, 43, 44 on pp. 856-857, due Monday, 2-24-2003--Extended (see below).

4. NO CLASS Friday, 2-21-2003.


Week 7.

1. Frenet Frames and Formulas: Section 1. Read notes below and verify all the details of the examples.

   Frenet Frames 1

2. Frenet Frames and Formulas: Section 2. Read notes below and verify all the details of the examples.

   Frenet Frames 2

3. Selected Homework: Exercises 39 on p. 856, and Exercises 3.2 & 3.3 in Frenet Frames 2 (link above), due Wednesday, 3-5-2003.

 


Week 8.

1. Continue working on Week 7 material.

Click on Image to View Animation

2. Quiz 4 on Frenet Frames and Formulas, Wednesday, 3-5-2003.

     Quiz 4
 


Spring Break.

Monday, 3-10-2003, through Friday, 3-14-2003.
 


Week 9.

1. Read through Chapter 14 Partial Derivatives pp. 872-923, 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: 1-31 (odd).

 


Week 10.

1. Continue working on Chapter 14 material.

2. Exercises 14.6 on p. 937: 21-26.
 

Click on Image to View Surface

3. Exercises 14.7 on p. 947-948: 5-15 (odd) Images to help visualize the surfaces.
 


Weeks 11 & 12.

1. Read through Chapter 15 Multiple Integrals pp. 966-980, making sure you understand the detailed Examples.

2. Exercises 15.2 on p. 980: 3-11 (odd).

3. Quiz 5 on Partial Derivatives, the Gradient, and Critical Points, Wednesday, 4-2-2003.

     Quiz 5

4. Exercises 15.5 on p. 1004: 1-7 (odd).

5. Exercises 15.6 on p. 1008: 1-7 (odd).

6. Selected Homework: Exercise 5 on p. 1004, Exercises 3 and 5 on p. 1008, due Monday, 4-14-2003.
 


Week 13.

1. Read through Chapter 16 Vector Calculus pp.1040-1066, making sure you understand the detailed Examples.

2. Exercises 16.1 on p. 1046: 1-7 (odd), 11-14 (matching exercises), 15-18 (matching exercises).

    Answers to Exercises: Vector Field Plots

3. Exercises 16.2 on p. 1057: 1-21 (odd).

4. Exercises 16.3 on pp. 1066-1067: 3-21 (odd).
 


Weeks 14 & 15.

1. Continue working on Chapter 16 Vector Calculus.

2. Selected Homework: Exercises 19-22 on p. 1057, Exercises 3, 5, 7, 15 on pp. 1066-1067, due Friday, 4-25-2003.

3. Exercises 16.4 on p. 1046: 1-7 (odd), 11-14 (matching exercises), 15-18 (matching exercises).

4. Exercises 16.5 on p. 1057: 1-21 (odd).

5. Exercises 16.6 on pp. 1066-1067: 3-21 (odd).

6. Quiz 6 on Vector Calculus, Friday, 5-2-2003.
 


Final Exam