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Math 2013 Calculus III |
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| Week of | SEC | Required homework is given in
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| Aug 17 | 11.1 | Three-Dimensional Coordinate Systems |
| 11.2 | Vectors | |
| Aug 24 | 11.3 | The Dot Product |
| 11.4 |
The Cross Product |
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| Aug 31 | 11.5 |
Lines and Planes in Space |
| 12.1 | Vector Functions and Their Derivatives | |
| Sept 7 | Review for Quiz 1 | |
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Quiz 1 |
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| Sept 14 | 13.1 |
Functions of Several Variables |
| 13.2 |
Limits and Continuity in Higher Dimensions |
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| 13.3 | Partial Derivatives | |
| Sept 21 | 13.4 |
The Chain Rule |
| 13.5 |
Directional Derivatives and Gradient Vectors |
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| Sept 28 | 13.6 |
Tangent Planes and Differentials |
| 13.7 | Extreme Values and Saddle Points | |
| 13.8 | Lagrange Multipliers | |
| Oct 5 | Quiz 2 Review | |
| Quiz 2 | ||
| Oct 12 | 14.1 | Double and Iterated Integrals over Rectangles |
| 14.2 | Double Integrals over General Regions | |
| 14.5 | Triple Integrals in Rectangular Coordinates | |
| Oct 19 | 14.8 | Substitutions in Multiple Integrals |
| 15.1 | Line Integrals | |
| Oct 26 | 15.2 | Vector Fields, Work, Circulation, and Flux |
| 15.3 | Path Independence, Potential Functions, and Conservative Fields | |
| Nov 2 | 15.4 | Green’s Theorem in the Plane |
| Quiz 3 Review | ||
| Nov 19 | Quiz 3 | |
| 15.5 | Surfaces and Area | |
| Nov 16 | 15.6 | Surface Integrals and Flux |
| 15.7 | Stokes’Theorem | |
| 15.8 | The Divergence Theorem and a Unified Theory | |
| Nov 30 | Catch Up & Review | |
| Review for Final Exam | ||
| Dec 7 | Final Exam Monday December 4, 4:00 pm - 6:00 pm |