Math 14 - Syllabus
This is a tentative syllabus. This page will be updated irregularly.
Date |
section |
Description |
Friday - Jan 5, 2001 |
1.1-1.5 |
The geometry of Euclidean space |
Monday - Jan 8, 2001 |
2.1, 2.2 |
The geometry of real-valued functions Limits and continuity |
Tuesday - Jan 9, 2001 |
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Wednesday - Jan 10, 2001 |
2.3, 2.4, 2.5 |
Differentiation, Introduction to paths, Properties of the derivative |
Friday - Jan 12, 2001 |
2.6, 3.1 |
Gradients and directional derivatives. Iterated partial derivatives. |
Monday - Jan 15, 2001 |
|
Holiday-MLK |
Tuesday - Jan 16, 2001 |
3.2, 3.3 |
Taylor's theorem. Extrema of real-valued functions |
Wednesday - Jan 17, 2001 |
3.4, 3.5 |
Constrained extrema and Lagrange multipliers. The implicit function theorem |
Friday - Jan 19, 2001 |
3.6 |
Some applications |
Monday - Jan 22, 2001 |
4.1, 4.2 |
Acceleration and Newton's Second Law Arc Length |
Tuesday - Jan 23, 2001 |
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Wednesday - Jan 24, 2001 |
4.3, 4.4 |
Vector fields Divergence and curl |
Friday - Jan 26, 2001 |
5.1, 5.2 |
The double integral |
Monday - Jan 29, 2001 |
5.3, 5.4 |
The double integral over more general regions Changing the order of integration |
Tuesday - Jan 30, 2001 |
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Wednesday - Jan 31, 2001 |
5.6 |
The triple integral |
Friday - Feb 2, 2001 |
6.1, 6.2 |
The geometry of maps from R^2 to R^2 The change of variables theorem |
Monday - Feb 5, 2001 |
6.2, 6.3 |
The change of variables theorem Applications of double and triple integrals |
Tuesday - Feb 6, 2001 |
6.3, 6.4 |
Applications of double and triple integrals Improper integrals |
Wednesday - Feb 7, 2001 |
7.1, 7.2 |
The path integral The line integral |
Friday - Feb 9, 2001 |
No class |
---Winter Carnival-- |
Monday - Feb 12, 2001 |
7.3 |
Parametrized surfaces |
Tuesday - Feb 13, 2001 |
7.4 |
Area of a surface |
Wednesday - Feb 14, 2001 |
7.5 |
Integrals of scalar functions over surfaces |
Friday - Feb 16, 2001 |
7.6 |
Surface integrals of vector functions |
Monday - Feb 19, 2001 |
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Tuesday - Feb 20, 2001 |
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Wednesday - Feb 21, 2001 |
8.1 |
Green's theorem |
Friday - Feb 23, 2001 |
8.2 |
Stoke's theorem |
Monday - Feb 26, 2001 |
8.3 |
Conservative fields |
Tuesday - Feb 27, 2001 |
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Wednesday - Feb 28, 2001 |
8.4 |
Gauss' theorem |
Friday - March 2, 2001 |
8.5 |
Applications to physics, engineering, and differential equations |
Monday - March 5, 2001 |
8.6 |
Differential forms |
Tuesday - March 6, 2001 |
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Wednesday - March 7, 2001 |
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Review |
Last updated: January 4, 2001