Math 13
Fall 2011
Calculus of vector valued functions
Syllabus
This lecture plan is tentative and will be updated irregularly. With strong likelihood some of the topics in the end of the syllabus will not be covered. The written homework page and the WeBWorK assignment will be updated on the regular basis
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Lectures |
Sections in Text |
Brief Description |
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Wednesday September 21, 2010 |
1.1-1.5 |
The geometry of Euclidean space |
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Friday September 23, 2010 |
2.1, 2.2 |
The geometry of real-valued functions. Limits and continuity |
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Monday September 26 |
2.3 |
Limits and Continuity, Differentiation |
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Wednesday September 28 |
2.4 |
Introduction to paths |
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Friday September 30 |
Section 2.5 and Derivatives as matrices |
Derivatives as matrices, properties of derivatives |
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Monday October 3
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2.6 |
Gradients and directional derivatives. |
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Wednesday October 5 Final day for electing to use the Non-Recording Option. |
3.1 |
Iterated partial derivatives |
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Friday October 7 |
3.2 |
Taylor series |
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Monday October 10 |
3.3 |
Extrema of real-valued functions |
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Wednesday October 12
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3.4 |
Constrained extrema and Lagrange multipliers. |
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Friday October 14 |
3.5 |
Implicit function theorem |
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Monday October 17 |
4.1 |
Acceleration, Newton’s second law |
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Tuesday October 18 No class The First Midterm Exam 6-8 PM in Carpenter 013 |
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Wednesday October 19 |
4.2 |
Arc Length |
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Friday October 21 Homecoming weekend No class. Instead we will have an x-hour on Tuesday October 25 |
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Monday October 24 |
Read Section 4.3 |
Vector fields |
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Tuesday October 25 x-hour instead of the class on Friday October 21 |
Read Section 4.4 and start section 5.1 |
Divergence and Curl |
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Wednesday October 26 |
5.1, 5.2 |
The double integral |
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Friday October 28 |
5.3, 5.4 |
The double integral over more general regions. Changing the order of integration. |
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Monday October 31 Note that Tuesday November 1 is the final day for dropping the fourth course without the grade notation of W |
5.5 |
The triple integral. |
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Tuesday November 1 x-hour instead of the class on Monday November 28 |
6.1, 6.2 |
The geometry of maps from R2 to R2 The change of variables theorem |
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Wednesday November 2 |
6.2 |
The change of Variables Theorem. |
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Friday November 4 |
6.3 |
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Monday November 7 |
7.1 and 7.2 |
The path integral and the line integral |
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Tuesday November 8 x-hour possibly instead of one of the coming classes 6-8 PM Second Midterm Exam in Carpenter 013 |
7.3 |
Parametrized surfaces |
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Wednesday November 9 |
7.4 |
Area of a surface |
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Friday November 11 Final day to withdraw from a course |
7.5, 7.6 |
Integrals of vector fields and scalar functions over surfaces |
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Monday November 14 |
8.1 |
Green's theorem |
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Wednesday November 16 |
8.2 |
Stokes's theorem |
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Friday November 18 Final day to alter the grade limit filed under the NRO |
8.3 |
Conservative fields |
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Monday November 21 |
8.4 |
Gauss' theorem |
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Thanksgiving recess: starts at 5:50 PM on Tuesday November 22 and ends at 7:45 AM on Monday November 28 |
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Monday November 28 No class. Instead we will have an x-hour on Tuesday November 1 |
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Wednesday November 30 |
8.6 |
Differential Forms and Stokes Theorem |
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Thursday December 1-Friday December 2 Pre-Examination Break |
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Math 13 Final Exam is 3-6 PM Saturday December 3 in Kemeny 007 Final Examinations begin on Saturday December 3 and end on Wednesday December 7 |
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