Date |
Topic |
Homework |
Due |

Course Introduction and Review | Single Variable Calculus Review | ||

§12.1 Three-Dimensional Coordinate Systems
§12.6 Cylinders and Quadric Surfaces |
§12.1 #4-6,11-13,15 | ||

§12.2 Vectors
§12.3 The Dot Product |
§12.2 #10,13,19,22-24,49
§12.3 #2,5,8,15,19,24,27,59 |
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§12.4 The Cross Product
§12.5 Equations of Planes | §12.4 #4,7,8,16-19
§12.5 #24,29,31,61 |
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§10.1 Curves Defined by Parametric Equations
§12.5 Equations of Lines §13.1 Vector Functions and Space Curves |
§10.1 #7,12,24
§12.5 #2,4,7,15,45,58,68 §12.6 #3,6,11-16 |
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§13.2 Derivatives and Integrals of Vector Functions
§13.4 Motion in Space: Velocity and Acceleration |
§13.1 #4,21-26,47,48
§13.2 #5,10,16,19,21,33,37,39,45,51 §13.4 #11,14 |
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§13.3 Arc Length and Curvature | §13.3 #1,4,5,9,11,13,16,17,20
(for #17a and #20a, just find T, not N) | ||

§14.1 Functions of Several Variables
A printout of the Mathematica commands done in class is here. The Mathematica notebook itself is here. |
§14.1 #7,27,28,59-64,65,68,71,74,75
Mathematica should only be used for #71,74,75. In particular, questions like #59-64 may appear on the exam during which you will not have access to Mathematica. |
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§14.2 Limits and Continuity | §14.2 #6-8,10,11,14,15,17-19 | ||

§14.3 Partial Derivatives
§14.5 The Chain Rule |
§14.3 #15,18,20,23,26,27,29,37,42,47,50,58,63,66,67,82,91
§14.5 #3,6,38 |
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§14.4 Tangent Planes and Linear Approximations
§14.5 The Chain Rule |
§14.4 #3,4,17,19,21,33,42
§14.5 #9,10,15,16,21,24,54 |
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§14.6 Directional Derivatives and the Gradient Vector | |||

§14.7 Maximum and Minimum Values | §14.6 #7,15,16,23,24,34
§14.7 #5,7-9,13,18,50 |
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§15.1 Double Integrals over Rectangles
§15.2 Iterated Integrals |
§15.2 #4,13,15,18,20,27,31 | ||

§15.3 Double Integrals over General Regions | §15.3 #7,10,17,20,25,52,56 | ||

§10.3 Polar Coordinates
§15.4 Double Integrals in Polar Coordinates |
§10.3 #10,11,15,19,37,39
§15.4 #8,11,15,27,40 |
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§16.2 Line Integrals | §16.2 #3-6,9,10,14,15 | ||

§16.1 Vector Fields
A printout of some of the Mathematica commands done in class is here. |
§16.1 #11-20,24,25,35
Mathematica should only be used for #19,20 Extra Credit Project - Due 4/26 |
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§16.2 Line Integrals (of vector fields)
§16.3 The Fundamental Theorem for Line Integrals |
§16.2 #19,21,22
§16.3 #3,4,6,7,12,13,15,18,29 |
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§16.4 Green's Theorem | §16.4 #2,6,9,12,13,30 | ||

§16.5 Curl and Divergence | §16.5 #2,3,4,8,21,22,27-29 | ||

§16.6 Parametric Surfaces | |||

§16.6 Parametric Surfaces and Their Areas | §16.6 #1,2,4,5,9,12,13-18,39,43,46,48,49
Mathematica should only be used for #9,12. |
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§16.7 Surface Integrals | §16.7 #12,13,16,17 | ||

§16.7 Surface Integrals (of vector fields)
§16.8 Stokes' Theorem |
§16.7 #23-25
§16.8 #1-3,9,10,16 |