Math 12
Fall 2012
Calculus Plus
Syllabus
Please see also the WeBWorK assignment
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Lectures |
Sections in Text |
Brief Description |
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Monday September 10 |
1.1-1.5 |
The geometry of Euclidean space |
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Wednesday September 12 |
1.1-1.5 |
Lines and Planes |
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Friday September 14 |
2.1, 2.2 |
The geometry of real-valued functions. Limits and continuity |
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Monday September 17 |
2.3 |
Limits and Continuity, Differentiation |
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Wednesday September 19 |
2.4 |
Introduction to paths |
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Thursday September 20 x-hour |
Section 2.5 and Derivatives as matrices |
Derivatives as matrices, properties of derivatives |
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Friday September 21 |
2.6 |
Gradients and directional derivatives. |
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Monday September 24 |
3.1 |
Iterated partial derivatives |
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Wednesday September 26 |
3.2 |
Taylor series |
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Friday September 28 |
3.3 |
Extrema of real-valued functions |
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Monday October 1 |
3.4 |
Constrained extrema and Lagrange multipliers |
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Wednesday October 3 |
3.5 |
Implicit function theorem |
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Thursday October 4 x-hour First Midterm Exam 6-8 PM in Rockefeller 002 |
4.1 |
Acceleration, Newton’s second law |
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Friday October 5 No class, instead we have an x-hour on October 4 |
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Monday October 8 |
4.2 |
Arc Length |
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Wednesday October 10
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Read Section 4.3 |
Vector fields |
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Friday October 12 |
Read Section 4.4 and start section 5.1 |
Divergence and Curl |
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Monday October 15 |
5.1, 5.2 |
The double integral |
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Wednesday October 17 |
5.3, 5.4 |
The double integral over more general regions. Changing the order of integration. |
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Thursday October 18 x-hour |
5.5 |
The triple integral. |
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Friday October 19 |
6.1, 6.2 |
The geometry of maps from R2 to R2 The change of variables theorem |
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Monday October 22 |
6.2 |
The change of Variables Theorem. |
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Wednesday October 24 |
6.3 |
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Thursday October 25 x-hour instead of the class on Friday October 26 Second Midterm Exam 6-8 PM in Rockfeller 002 |
7.1 and 7.2 |
The path integral and the line integral |
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Friday October 26 No class |
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Monday October 29 |
7.3 |
Parametrized surfaces |
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Wednesday October 31 |
7.4 |
Area of a surface |
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Thursday November 1 x-hour |
7.5, 7.6 |
Integrals of vector fields and scalar functions over surfaces |
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Friday November 2 |
8.1 |
Green's theorem |
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Monday November 5 |
8.2 |
Stokes's theorem |
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Wednesday November 7 |
8.3 |
Conservative fields |
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Friday November 9 |
8.4 |
Gauss' theorem |
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Monday November 12 |
8.6 |
Differential Forms and Stokes Theorem |
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Wednesday November 14 - Thursday November 15 Pre-Examination Break |
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Math 12 Final Exam is 3-6 PM Friday November 16 in Kemeny 105 |
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Final Examinations begin on Saturday November 16 and end on Tuesday November 20 |
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