Math 13
Calculus of Vector-Valued Functions
Syllabus
This syllabus is tentative and will be
updated irregularly.
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Lectures |
Sections in Text |
Brief Description |
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Monday, January 7 |
1.1-1.5 |
The geometry of Euclidean
space |
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Wednesday, January 9 |
2.1, 2.2 |
The geometry of real-valued
functions. Limits and continuity |
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Thursday, January 10 (x-hour) instead of the special day of classes on Saturday
January 12 |
2.3, 2.4 |
Differentiation, Introduction to
paths. |
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Friday, January 11 |
2.5, 2.6 |
Properties of the derivatives.
Gradients and directional derivatives. |
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Monday, January 14 |
3.1. 3.2, |
Iterated partial derivatives. |
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Wednesday, January 16 |
3.3 |
Extrema of real valued functions. |
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Friday, January 18 |
3.4, 3.5 |
Constrained extrema
and Lagrange multipliers. The implicit
function theorem. |
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Monday, January 21 Martin Luther King Jr.
Day, No class Note that Tuesday
January 22 is the final day for electing to use the NRO option. |
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Wednesday, January 23 |
4.1, 4.2 |
Acceleration and |
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Thursday, January 24 (x-hour) instead of the class on January 21 |
4.3 |
Vector fields |
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Friday, January 25 |
4.4 |
Divergence and Curl |
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Monday, January 28 |
5.1, 5.2 |
The double integral |
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Tuesday, January 29 First Midterm Exam, 6-8 PM in Carpenter 013 |
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Wednesday, January 30 |
5.3, 5.4 |
The double integral over more
general regions. Changing the order of integration. |
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Friday, February 1 |
5.5 |
The triple integral |
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Monday, February 4 |
6.1, 6.2 |
The geometry of maps from R2
to R2 The change of variables theorem |
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Wednesday, February 6 |
6.2, 6.3 |
The change of variables theorem.
Applications of double and triple integrals |
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Thursday February 7 (x-hour) instead of the class on February 8 |
6.3, 6.4 |
Applications of double and triple
integrals. Improper integrals |
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Friday, February 8 Winter Carnival No Class |
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Monday, February 11 |
7.1 |
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Wednesday, February 13 |
7.2 |
The line integral. |
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Friday, February 15 |
7.3 |
Parametrized surfaces |
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Monday, February 18 |
7.4 |
Area of a surface |
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Tuesday, February 19 Second Midterm Exam, 6-8 PM in Carpenter 013 |
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Wednesday, February 20 |
7.5 |
Integrals of scalar functions
over surfaces |
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Friday, February 22 Final Day to Withdraw from a course |
8.1 |
Green's theorem |
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Monday, February 25 |
8.2 |
Stokes's theorem |
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Wednesday, February 27 |
8.3 |
Conservative fields |
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Friday, February 29 Final day to alter
grade limit filed under the Non-Recording Option. |
8.4 |
Gauss' theorem |
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Monday, March 3 |
8.4 |
Gauss' theorem |
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Wednesday, March 5 |
8.5 |
Applications to physics,
engineering, and differential equations |
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Friday, March 7 |
Wrap Up |
Wrap
Up |
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Saturday March 8- Sunday 9 Pre-Examination Break |
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Tuesday March 11 Final Exam, 3-6 PM in Kemeny 008 |
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