Reading: Take 20 to 30 minutes BEFORE each lecture to read the sections of the book which will be covered. It helps a great deal to be familiar with the terminology that will be used and the theorems that will be established. WE WILL ASSUME YOU HAVE DONE THIS READING PRIOR TO LECTURE!
Homework Assignment and Solutions: Homework is due on Fridays in your TA's homework box in the basement of Upson. The DUE DATE column below indicates when problems assigned from various sections of the text are due. Homework solutions will be available after it is due by clicking the links below. PQ means "Preliminary Questions".
Last Updated: 10/16/13
Date |
Material |
Topic |
Homework Problems |
HW Due |
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| 8/28 |
13.1, 13.2 |
Vectors |
13.1: PQ 1-4; 31, 46, 63 13.2: PQ 1-6; 36, 52, 61 |
9/6 |
| 8/30 |
13.3 |
Dot Product |
13.3: PQ 1-6; 50, 67, 72, 78 |
9/6 - Solutions |
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| 9/2 |
Labor Day |
No Class |
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| 9/4 |
13.4 |
Cross Product |
13.4: PQ 1-6, 22, 24, 33, 39, 60 |
9/13 |
| 9/6 |
13.5 |
Planes in 3D |
13.5: PQ 1-6; 18, 33, 54, 60, 64 without directly using results of 63 |
9/13 |
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| 9/9 |
13.6 13.7 |
Quadric Surfaces Coordinate Systems |
13.6: PQ 1-6 13.7: PQ 1-5; 24, 30, 34, 51, 58, 62 |
9/13 - Solutions |
| 9/11 |
14.1 17.1 |
Vector-Valued Functions Intro to Vector Fields |
14.1: PQ 1-6; 9, 24 (see 9/19/13 announcement) 17.1: PQ 1-3; 12, 13-16 |
9/20 |
| 9/13 |
14.2 |
Calculus of Vector-Valued Functions |
14.2: PQ 2-7; 22, 28, 37, 52, 57, 58 |
9/20 |
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| 9/16 |
14.3 17.2 |
Arc Length and Speed Line Integrals |
14.3: PQ 1-2; 6, 12, 14 |
9/20 - Solutions |
| 9/18 |
17.2 |
Line Integrals |
17.2: PQ 1-4; 14, 24, 31, 37, 39, 41, 46 |
9/27 |
| 9/20 |
15.1 15.2 |
Functions in Several Variables, Limits and Continuity |
15.1: PQ 1-5; 7, 18, 20, 32 15.2: PQ 1-4; 14, 35, 41 |
9/27 |
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| 9/23 |
15.3 |
Partial Derivatives |
15.3: PQ 1-5; 9, 10, 12, 32, 36, 60, 74, 82 |
9/27 - Solutions |
| 9/25 |
15.4 |
Differentiability and Tangent Planes |
15.4: PQ 1-6; 4, 15, 20 |
10/4 |
| 9/27 |
15.5 |
Gradient and Directional Derivatives |
15.5: PQ 1-5; 2, 3, 6, 17, 28, 40, 50, 61 |
10/4 - Solutions |
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| 9/30 |
15.5 |
Gradient and Directional Derivatives |
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| 10/2 |
15.6 |
Chain Rule |
15.6: PQ 1-6; 10, 15, 28, 31, 37 |
10/11 |
| 10/4 |
15.7 |
Optimization in Several Variables |
15.7: PQ 1-3; 5, 22, 35, 40, 50 |
10/11 - Solutions |
| 10/7 |
Review |
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| 10/8 |
prelim tests through section 15.5 |
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| 10/9 |
15.8 |
Optimization & Lagrange Multipliers |
15.8: PQ 1-3; 8, 16, 19, 27 (find typo and complete problem), 49 |
10/18 |
| 10/11 |
15.8 |
Lagrange Multipliers (cont'd) |
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| 10/14 |
Fall Break |
No Class |
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| 10/16 |
16.1 |
Integration in Two Variables |
16.1: PQ 1-6; 18, 33, 42, 45 |
10/18 - Solutions |
| 10/18 |
16.2 |
Double Integrals over General Regions |
16.2: PQ 1-4; 32, 42, 44, 45 |
10/25 |
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| 10/21 |
16.3 |
Triple Integrals |
16.3: PQ 1-3; 14, 18, 25, 28, 32 |
10/25 - Solutions |
| 10/23 |
16.3 |
Triple Integrals |
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| 10/25 |
16.4 |
Integration in Polar, Cylindrical, Spherical |
16.4: PQ 1-3; redo #44 from 16.2 by using polar coordinates, 8, 21, 45, 52, 53 |
11/1 |
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| 10/28 |
16.5 |
Applications of Multiple Integrals |
16.5: PQ 1, PQ 2(a,b), PQ 3; 4, 9, 28, 51, 55, 56 |
11/1 |
| 10/30 |
17.1, 17.3 |
Conservative Vector Fields |
17.1: PQ 4; 22, 32 |
11/1 - Solutions |
| 11/1 |
17.3 |
Conservative Vector Fields |
17.3: PQ 1-4; 14, 16, 19, 23, 26(a), 28 |
11/8 |
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| 11/4 |
17.4 |
Parametrized Surfaces and Surface Integrals |
17.4: PQ 1-6; 1, 5, 10, 16, 36, 41 |
11/8 - Solutions |
| 11/6 |
17.4, 17.5 |
Surface Integrals of Vector Fields |
17.5: PQ 1-5; 7, 18, 20, 22, 23 |
11/15 |
| 11/8 |
17.5 |
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| 11/11 |
18.1 |
Green's Theorem |
18.1: PQ 1-4; 2, 5, 10, 12, 25, 26, 27, 35, 38 |
11/15 - Solutions |
| 11/13 |
18.1 |
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| 11/15 |
18.1 |
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| 11/18 |
18.2 |
Stokes' Theorem |
11/22 - Solutions |
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| 11/20 |
18.2 |
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| 11/22 |
16.6 |
Change of Variables |
12/6 |
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| 11/25 |
Review |
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| 11/26 |
prelim tests sections 15.6-18.1 |
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| 11/27 |
Catch Up |
(Thanksgiving break starts) |
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| 11/29 |
Break |
No Class |
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| 12/2 |
18.3 |
Divergence Theorem |
12/6 - Solutions |
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| 12/4 |
18.3 |
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| 12/6 |
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18.3 and Course Review |
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| 12/13 |
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