Math 12
Calculus Plus
Syllabus
This syllabus is tentative and will be
updated irregularly. The homework page
will be updated on the regular basis
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Lectures |
Sections in Text |
Brief Description |
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Day 1, 9/26/07 |
13.1, 1.2 |
Three-dimensional coordinate systems and vectors |
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Day 2, 9/28/07 |
13.3, 13.4 |
Dot and cross Products |
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Day 3, 10/1/07 |
13.5 |
Equations of planes and lines |
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Day 4, 10/3/07 |
14.1, 14.2 |
Curves. Vector functions, their derivatives and integrals. |
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Day 5, 10/5/07 |
14.3, 14.4 |
Arc length, velocity and acceleration |
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Day 6, 10/8/07 |
15.1, 15.2 |
Functions of several variables, their limits and
continuity |
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Day 7, 10/10/07 |
15.3 |
Partial derivatives |
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Day 8, 10/11/07 x-hour |
15.4 |
Linear approximations and tangent planes |
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Day 9, 10/12/07 |
15.5 |
Chain rule |
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Day 10, 10/15/07 |
Discussion of Matrices and Derivatives. This does not
correspond to a textbook section. |
Matrices, Linear operators, derivatives as linear
operators |
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Day 11, 10/17/07 Final day for electing
use of the Non-Recording option. |
15.6 |
Directional derivatives and the gradient |
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Day 12, 10/18/07 x-hour instead of the class on 10/19/07 |
15.7 |
Maxima and minima |
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10/19/07 Homecoming weekend No class |
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Day 13, 10/22/07 |
15.7 |
Maxima and minima |
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Tuesday 10/23/07 First Midterm Exam |
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Day 14, 10/24/07 |
16.1 |
Double integrals over rectangles |
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Day 15, 10/25/07 x-hour |
16.2 |
Iterated integrals |
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Day 16, 10/26/07 |
16.3 |
Double integrals over general regions |
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Day 17, 10/29/07 |
16.4 |
Double integrals in polar coordinates |
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Day 18, 10/31/07 |
16.5 |
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Day 19, 11/2/07 |
16.6 |
Triple integrals |
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Day 20, 11/5/07 |
16.7, 16.8 |
Triple integrals in cylindrical and spherical coordinates |
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Day 21, 11/7/07 |
17.1, 17.2 |
Line integrals and vector fields |
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Day 22, 11/9/07 |
17.3 |
The fundamental Theorem for line integrals |
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Day 23, 11/12/07 |
17.3 |
The fundamental Theorem for line integrals |
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Tuesday 11/13/07 Second Midterm Exam |
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Day 24, 11/14/07 11/15/07 is the final day to withdraw from the course |
17.4 |
Green’s Theorem |
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Day 25, 11/15/07 |
17.5 |
Curl and divergence |
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Day 26, 11/16/07 |
17.6 |
Parametric surfaces and their area |
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Day 27, 11/19/07 |
17.7 |
Surface area |
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5:50 PM 11/20/07- 7:45 AM 11/26/07 Thanksgiving Recess |
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Day 28, 11/26/07 |
17.8 |
Stokes and Gauss Theorem |
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Day 29, 11/28/07 |
17.8 |
Stokes and Gauss Theorem |
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Day 30, 11/29/07 |
17.9 |
Differential forms, operations on them, Stokes Theorem for
differential forms and its relation to the Green, Gauss, and Stokes Theorems |
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Day 31, 12/3/07 |
Wrap up |
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Final Exam is 11:30 AM -2:30 PM on Friday December 7 in Kemeny 008 |
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