|
Date |
|
Day |
Sec |
Topic |
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|
|
|
1.1-1.2 |
Introduction/Kepler |
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|
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1.3-1.5 |
Trajectories |
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|
1.5/2.1 |
Law of Gravity/Vector Algebra |
|
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|
2.2-2.4 |
Dot Product/Cross Product |
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|
|
3.1-3.2 |
Calculus of Curves/Curvature |
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3.3 |
Orbital Mechanics |
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|
4.1-4.2 |
Differential One-Forms/Fluid
Flow |
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|
4.4-4.6 |
Two-Forms, Pullbacks and
k-Forms |
|
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|
|
Exam I |
|
|
|
|
5.1-5.2 |
Line Integrals/Applications |
|
|
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|
5.4 |
Multiple
Integrals/Nonrectangular Regions |
|
|
|
|
5.5/6.1 |
Applications/Linear
Transformations |
|
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|
|
6.1 |
Matrix Representations |
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|
6.2 |
Determinants |
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6.5 |
Invertibility/Cramer's Rule |
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7.1 |
Limits and Continuity/Level
curves |
|
|
|
|
7.3-7.4 |
Directional Derivatives/Jacobian
Matrix |
|
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|
|
7.6-7.7 |
Chain Rule/Gradient |
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|
Exam II |
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|
8.1-8.2 |
Pullbacks |
|
|
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|
8.4-8.5 |
Surface Integrals/Flow thru
Surfaces |
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|
|
9.1-9.4 |
Implicit and Inverse Function
Theorems/Extrema |
|
|
|
|
9.5-9.7 |
Taylor's Formula/Lagrange
Multipliers |
|
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|
|
10.1-10.2 |
The Fundamental Theorem |
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10.4 |
Divergence Theorem |
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10.6 |
Stoke's Theorem |
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10.6 |
Stoke's Theorem |
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Summary |
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|
Summary |
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Final |