Math 12
Fall 2014
Calculus Plus
Syllabus
Please see also the WeBWorK assignment
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Lectures |
Sections in Text |
Brief Description |
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September 15 |
1.1-1.5 |
The geometry of Euclidean space |
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September 17 |
1.1-1.5 |
Lines and Planes |
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September 18 x-hour instead of the class on September 29 |
2.1, 2.2 |
The geometry of real-valued functions. Limits and continuity |
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September 19 |
2.3 |
Limits and Continuity, Differentiation |
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September 22 |
2.4 |
Introduction to paths |
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September 24 |
Section 2.5 and Derivatives as matrices |
Derivatives as matrices, properties of derivatives |
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September 25 x-hour instead of the class on October 1 |
2.6 |
Gradients and directional derivatives. |
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September 26 |
3.1 |
Iterated partial derivatives |
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September 29 No class |
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October 1 No class |
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October 3 |
3.2 |
Taylor series |
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October 6 |
3.3 |
Extrema of real-valued functions |
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October 8 |
3.4 |
Constrained extrema and Lagrange multipliers |
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October 9 x-hour First Midterm Exam 6-8 PM in Rockefeller 003 |
3.5 |
Implicit function theorem |
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October 10 |
4.1 |
Acceleration, Newton’s second law |
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October 13 |
4.2 |
Arc Length |
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October 15 |
Read Section 4.3 |
Vector fields |
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October 16 x-hour instead of the class on Friday October 17 |
Read Section 4.4 and start section 5.1 |
Divergence and Curl |
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October 17 No class, October 17-18 is the
homecoming weekend |
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October 20 |
5.1, 5.2 |
The double integral |
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October 22 |
5.3, 5.4 |
The double integral over more general regions. Changing the order of integration. |
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October 24 |
5.5 |
The triple integral. |
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October 27 |
6.1, 6.2 |
The geometry of maps from R2 to R2 The change of variables theorem |
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October 29 |
6.2 |
The change of Variables Theorem. |
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October 30 x-hour Second Midterm Exam 6-8 PM in Rockefeller 003 |
6.3 |
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October 31 |
7.1 and 7.2 |
The path integral and the line integral |
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November 3 |
7.3 |
Parametrized surfaces |
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November 5 |
7.4 |
Area of a surface |
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November 6 x-hour |
7.5, 7.6 |
Integrals
of vector fields and scalar functions over surfaces |
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November 7 |
8.1 |
Green's theorem |
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November 10 |
8.2 |
Stokes's theorem |
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November 12 |
8.3 |
Conservative fields |
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November 14 |
8.4 |
Gauss' theorem |
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November 17 |
8.6 |
Differential Forms and Stokes Theorem |
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Pre-Examination Break November 19-20 |
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Math 12 Final Exam is 11:30-2:30 PM Sunday November 23 in Kemeny 105 |
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