Lecture 
Section 
Topic 
HW Assignment 
1 
12.1 
3Dimensional Coordinate Systems and 
p. 707: 13, 21, 27, 43 

12.2 
Vectors 
p. 717: 7, 13, 15, 17, 25, 29, 33, 39, 43, 47 
2 
12.3 
Dot Product 
p. 724: 3, 7, 11, 13, 16, 24, 27, 28, 41, 43 
3 
12.4 
Cross Product 
p. 730: 7, 15, 18, 21, 23, 25, 39, 43, 46, 48 
4 
12.5 
Lines and Planes in Space 
p. 738: 3, 9, 17, 23, 27, 29, 35, 41, 51, 53, 59, 61, 65 
5 
12.6 
Cylinders and Quadric Surfaces 
p. 744: 7, 9, 11, 14, 19, 23, 33, 41 
6 
13.1 
Curves and Tangents in Space 
p. 757: 1, 7, 9, 11, 15, 21, 22, 24 
7 
13.2 
Integrals of Vector Functions: Projectile Motion 
p. 765: 1, 7, 11, 15, 17, 19, 21, 25, 27 
8 
13.3 
Arc Length of Space Curves 
p. 771: 1, 6, 7, 11, 13, 14, 18 
9 
14.1 
Functions of Several Variables 
p. 799: 5, 11, 13, 14, 19, 23, 25, 27, 39, 49, 53, 59, 61 
10 
14.3 
Partial Derivatives 
p. 819: 5, 13, 17, 23, 25, 31, 37, 43, 48, 53, 62, 65, 67, 75, 79, 83 
11 
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REVIEW FOR EXAM 1 
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COMMON EXAM 1:
WEDNESDAY, OCTOBER 11, 2017 

12 
14.4 
The Chain Rule 
p. 828: 3, 5, 7, 9, 27, 29, 31, 35, 37, 39, 46 
13 
14.5 
Directional Derivatives and Gradients 
p. 838: 5, 9, 11, 15, 17, 19, 23, 27, 31, 33, 37, 38 
14 
14.6 
Tangent Planes and Differentials 
p. 845: 1, 5, 9, 15, 19, 21, 29, 41, 43, 51, 53 
15 
14.7 
Extrema and Saddle Points 
p. 855: 3, 7, 19, 21, 27, 31, 35, 41, 51, 53, 59 
16 
14.8 
Lagrange Multipliers 
p. 864: 3, 7, 13, 17, 21, 23, 25, 30, 31 
17 
15.1 
Double and Iterated Integrals over Rectangles 
p. 886: 3, 9, 10, 11, 17, 19, 21, 25, 27 
18 
15.2 
Double Integrals over General Regions and 
p. 894: 7, 13, 15, 35, 39, 43, 49, 51, 53, 57 

15.3 
Area by Double Integration 
p. 899: 3, 9, 11, 21 
19 
15.4 
Double Integrals in Polar Form 
p. 904: 7, 10, 13, 17, 23, 25, 29, 37 
20 
15.5 
Triple Integrals in Rectangular Coordinates and 
p. 912: 7, 11, 15, 23, 25, 31, 33 

15.6 
Moments and Center of Mass 
p. 920: 3, 4, 13, 15, 25, 29 
21 
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REVIEW FOR EXAM 2 
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COMMON EXAM 2:
WEDNESDAY, NOVEMBER 15, 2017 

22 
15.7 
Triple Integrals in Cylindrical Coordinates 
p. 930: 3, 7, 9, 11, 17, 19, 43, 55, 57, 59 
23 
16.1 
Line Integrals 
p. 955: 7, 9, 11, 15, 19, 21, 23, 29, 33 
24 
16.2 
Vector Fields and Line Integrals: Work, Circulation and Flux 
p. 967: 9, 11, 15, 19, 21, 23, 25, 27, 29, 33 
25 
16.3 
Path Independence, Conservative Fields and Potential Functions 
p. 978: 3, 7, 9, 15, 19, 21, 23, 27, 29 
26, 27 
16.4 
Green's Theorem in the Plane 
p. 990: 5, 7, 9, 11, 13, 15, 17, 19, 21,23, 25, 26, 28, 33 
28 
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REVIEW FOR FINAL EXAM 
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FINAL EXAMS: DECEMBER 15 21, 2017 
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