Multivariable Calculus

wk |
date |
reading |
Topic |
Exercises |
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1 | 3/26 | Introduction | ||||||

3/28 | Ch 15.1 | Iterated Integrals | 15.1: 3, 19, 33, 37, 41, 45 |
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Dennis Slides 3-28-18 | ||||||||

3/30 | Ch 15.2 | More general regions | 15.2: 3, 7, 11, 21, 27, 33, 53 |
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Dennis Slides 3-30-18 | ||||||||

2 | 4/02 | Ch 15.3 | Triple integrals | 15.3 3, 9, 11, 13, 19 |
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Dennis Slides 4-2-18 | ||||||||

4/04 | Ch 15.3 | Triple integrals | 15.3 21, 25, 29, 31, 35, 39 |
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Dennis Slides 4-4-18 | ||||||||

Tassy Practice problems | ||||||||

Tassy Practice problems solutions | ||||||||

4/06 | Ch 15.4 | Polar and cylindrical coordinates | 15.4 3, 7, 17, 23, 31, 35 |
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Dennis Slides 4-6-18 | . | |||||||

3 | 4/09 | Ch 15.4 | Spherical coordinates | 15.4 39, 43, 45, 49, 55 |
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Dennis Slides 4-9-18 | ||||||||

4/11 | Ch 15.5 | Applications of triple integrals | 15.5 1, 11, 13, 27 |
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Solution for the last exercise of the lecture | ||||||||

4/13 | Ch 15.5 | Applications of triple integrals | Study for the Midterm! | |||||

Dennis Challenge Problem Solutions | . | |||||||

4 | 4/16 | Review session | ||||||

4/17 | Midterm 1 | |||||||

4/18 | Ch 15.6 | Change of variables | 15.6 1, 5, 11, 13, 15 |
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Dennis Slides 4-18-18 | ||||||||

4/20 | Ch 15.6 | Change of variables | 15.6 19, 21, 25 |
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Dennis Slides 4-20-18 | . | |||||||

5 | 4/23 | Ch 15.6 | Change of variables | 15.6 31, 33, 35 |
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Dennis Slides 4-23-18 | ||||||||

4/25 | Ch 16.1 | Vector fields | 16.1 11, 13-16 |
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Dennis Slides 4-25-18 | ||||||||

4/27 | Ch 16.1 | Vector fields | 16.1 23, 29, 39-43 |
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Dennis Slides 4-27-18 | . | |||||||

6 | 4/30 | Ch 16.2 | Scalar line integrals | 16.2 1, 5, 9, 11, 13, 17 |
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Dennis Slides 4-30-18 | ||||||||

5/02 | Ch 16.2 | Vector line integrals | 16.2 7, 19, 21, 25, 41, 55 |
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Dennis Slides 5-2-18 | ||||||||

5/04 | Ch 16.3 | Conservative vector fields | 16.3 3, 5, 9, 11, 15, 23 |
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7 | 5/07 | Review session | ||||||

5/08 | Midterm 2 | |||||||

5/09 | Ch 16.4 | Surfaces | 16.4 1, 5a, 7, 9 |
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Dennis Slides 5-9-18 | ||||||||

5/11 | Ch 16.4 | Surface integrals | 16.4 13, 17, 19, 21, 25, 35 |
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8 | 5/14 | Ch 16.5 | Vector surface integrals | 16.5 5, 7, 9, 13, 17 |
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Dennis Slides 5-14-18 | ||||||||

5/16 | Ch 17.1 | Green’s theorem | 17.1 3, 5, 9, 13, 16 |
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Dennis Slides 5-16-18 | ||||||||

5/18 | Ch 17.1 | Green’s theorem for general regions | 17.1 23, 25 |
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9 | 5/21 | Ch 17.2 | Stokes’ Theorem | 17.2 1, 5, 7, 11, 13, 15 |
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Dennis Slides 5-21-18 | ||||||||

5/23 | Ch 17.2 | Surface Independence (Stokes’ Theorem) | 17.2 16, 22, 24, 25, 27; prelim questions 1, 4, 5 |
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Dennis Slides 5-23-18 | ||||||||

5/25 | Ch 17.3 | Divergence Theorem | 17.3 3, 5, 15, 17, 19 |
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Dennis Slides 5-25-18 | ||||||||

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10 | 5/28 | Memorial Day | ||||||

5/30 | Review session | |||||||

Dennis Final Review | ||||||||

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