Math 14
Winter 2011
Vector Calculus, Honors Section
Lecture Plan
This lecture plan is tentative and will be updated irregularly. The written homework page will be updated on the regular basis. The WeBWorK homework can be found here
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Lectures |
Sections in Text |
Brief Description |
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Wednesday, January 5 |
1.1-1.5 |
The Geometry of Euclidean Space |
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Friday, January 7 |
2.1 and 2.2 |
The geometry of real-valued functions, limits and continuity |
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Monday January 10 |
2.2 |
More about limits |
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Wednesday January 12 |
2.3 and 2.4 |
Differentiation and Introduction to Paths |
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Friday January 14 |
2.5 and 2.6 |
Properties of derivatives. Gradients and directional derivatives. |
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Monday January 17 MLK day, no class. Instead we have an x-hour on Thursday January 20 |
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Wednesday January 19 First Project will be distributed on this date. It will be due Wednesday January 26. |
Derivatives as matrices |
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Thursday January 20 x-hour instead of the class on Monday January 17 |
3.1 and 3.3 |
Iterated partial derivatives and extremal points of real valued functions |
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Friday, January 21 |
3.4 and 3.5 |
Constrained extrema and Lagrange multipliers. The implicit function theorem |
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Monday, January 24 |
3.4, 3.5 and 4.1 |
Acceleration and Newton’s second law |
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Wednesday January 26 The first homework project is due on this date |
4.2 and 4.3 |
Arc length & Vector fields |
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Friday, January 28 |
4.4 |
Divergence and Curl |
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Monday, January 31 First Midterm Exam 6-8 PM in Kemeny 108 |
5.1 |
Integration over Rn |
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Wednesday, February 2 |
5.2 & 5.5 |
Double and Triple integrals |
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Thursday, February 3 |
5.3 & 5.4 |
Integrals over more general regions |
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Friday, February 4 |
6.1 & 6.4 |
The geometry of maps from R2 to R2 and improper integrals |
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Monday, February 7 |
6.2 |
Change of Variables |
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Wednesday, February 9 The Second Homework Project will be distributed on this date. It will be due on Wednesday February 16 |
6.3 |
Applications of double and triple integrals |
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Thursday, February 10 x-hour instead of the class on February 11 |
7.1 & 7.2 |
The path and line integrals |
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Friday, February 11 Carnival Holiday. No class. Instead we will have an x-hour on Thursday February 10 |
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Monday, February 14 |
7.3 |
Parameterized Surfaces |
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Wednesday, February 16 The Second Homework Project is due on this date. |
7.4 |
Area of a surface |
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Friday, February 18 |
7.5 |
Integrals of scalar functions over surfaces |
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Monday, February 21 Second Midterm Exam 6-8 PM in Kemeny 108 |
7.6 |
Surface integrals of vector functions |
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Wednesday, February 23 Final day to withdraw from a course; any later request to withdraw from a course requires petition to a special committee |
8.1 |
Green's Theorem |
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Friday, February 25 |
8.2 |
Stokes's Theorem |
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Monday, February 28 |
8.3 |
Conservative Vector Fields |
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Wednesday, March 2 |
8.4 |
Gauss' Theorem |
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Friday, March 4 |
8.5 |
Applications to physics, engineering and differential equations |
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Monday, March 7 |
8.6 |
Differential Forms and Stokes Theorem |
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Wednesday, March 9 |
8.6 |
Differential Forms and Stokes Theorem |
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Saturday, March 12 Final Exam 11:30 AM – 2:30 PM in Haldeman 028 |