Date |
Topic |
Homework |
Due |

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

§13.1 Three-Dimensional Coordinate Systems
§13.2 Vectors |
§13.1 #4-6,11-13,15
§13.2 #8,11,17,31,43 |
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§13.3 The Dot Product
§13.4 The Cross Product |
§13.2 #20-22
§13.3 #4,5,8,16,19,24,27,37,55 §13.4 #4,7,8,16-19 |
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§11.1 Curves Defined by Parametric Equations
§13.5 Equations of Lines and Planes §13.6 Cylinders and Quadric Surfaces |
§11.1 #7,12,24
§13.5 #2,5,9,15,24,28,31,43,56,59,78 §13.6 #3,6,11-16,37-40 |
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§14.1 Vector Functions and Space Curves
§14.2 Derivatives and Integrals of Vector Functions |
§14.1 #4,29-32
§14.2 #5,10,16,19,21,31,33,35,37,43,47 |
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§14.3 Arc Length and Curvature
§14.4 Motion in Space: Velocity and Acceleration |
§11.2 #41,42
§14.3 #1,4,5,9,11,13,16,17,20 (for #17a and #20a, just find T, not N) §14.4 #11,14 |
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§15.1 Functions of Several Variables | §15.1 #5,25,26,55-60,61,64,67,70,71
Mathematica should only be used for #67,70,71. |
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§15.2 Limits and Continuity | §15.2 #6-9,12,14,15,17-20 | ||

§15.3 Partial Derivatives
§15.5 The Chain Rule |
§15.3 #15,18,20,21,23,28,33,35,40,45,56,61,64,65,80,85 | ||

§15.4 Tangent Planes and Linear Approximations
§15.5 The Chain Rule |
§15.4 #3,4,17,19
§15.5 #3,6,9,10,15,16,21,24,38,54 |
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§15.6 Directional Derivatives and the Gradient Vector | §15.6 #7,15,16,19,21,26,27,34 | ||

§15.7 Maximum and Minimum Values | §15.7 #7-10,43,50
No need to use Mathematica. |
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§16.1 Double Integrals over Rectangles
§16.2 Iterated Integrals |
§16.2 #8,13,15,18,20,27,31
Don't forget about the assignment from §15.7 that is also due on 10/26. |
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§16.3 Double Integrals over General Regions | §16.3 #7,10,13,16,21,26,48,52
Extra Credit Project: Due 11/9 |
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§11.3 Polar Coordinates
§16.4 Double Integrals in Polar Coordinates |
§11.3 #7,11,15,22,39,41
§16.4 #8,11,15,27,36 |
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§17.2 Line Integrals | §17.2 #3-6,9,10,13,16 | ||

§17.1 Vector Fields | §17.1 #11-20,24,25,35
Mathematica should only be used for #19,20 Don't forget the extra credit is also due on 11/9. |
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§17.2 Line Integrals (of vector fields) | §13.3 #46
§17.2 #17,19,21,22,39,40,45,48 |
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§17.3 The Fundamental Theorem for Line Integrals | §17.3 #3,5,6,8,12,13,15,16,18,21,27,28 | ||

§17.4 Green's Theorem | §17.4 #2,6,8,9,13,14,21,28 | ||

§17.5 Curl and Divergence | §17.5 #1,2,4,8,21,22,27,28 | ||

§17.6 Parametric Surfaces and Their Areas | §17.6 #1,2,4,5,9,12,13-21
Mathematica should only be used for #9,12. |
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§17.6 Parametric Surfaces and Their Areas | §17.6 #37-39,44,46,47,60 | ||

§17.7 Surface Integrals | §17.7 #8-11 | ||

§17.7 Surface Integrals (of vector fields) | §17.7 #19-21
Don't forget about the assignment above that is also due on 12/9. |
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§17.8 Stokes' Theorem |