Math 12
Calculus Plus
Syllabus
This syllabus is tentative and will be
updated irregularly. The written
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, Wednesday
9/23/09 |
13.1, 1.2 |
Three-dimensional coordinate systems and vectors |
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Day 2, Friday 9/25/09 |
13.3, 13.4 |
Dot and cross Products |
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Day 3, Monday
9/28/09 |
13.5 |
Equations of planes and lines |
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Day 4, Wednesday 9/30/09 |
14.1, 14.2 |
Curves. Vector functions, their derivatives and integrals. |
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Day 5, Friday 10/2/09 |
14.3, 14.4 |
Arc length, velocity and acceleration |
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Day 6, Monday 10/5/09 |
15.1, 15.2 |
Functions of several variables, their limits and
continuity |
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Day 7, Wednesday 10/7/09 Final day for electing use of the Non-Recording Option |
15.3 |
Partial derivatives |
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Day 8, Friday 10/9/09 |
15.4 |
Linear approximations and tangent planes |
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Day 9, Monday 10/12/09 |
15.5 |
Chain rule |
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Day 10, Wednesday 10/14/09 |
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, Friday 10/16/09 |
15.6 |
Directional derivatives and the gradient |
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Day 12, Monday 10/19/09 |
15.7 |
Maxima and minima |
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Tuesday 10/20/09 First Midterm Exam 4-6 PM in Silsby 28 |
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Day 13, Wednesday 10/21/09 |
15.7 |
Maxima and minima |
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Day 14, Thursday 10/22/09 x-hour instead of the class On Friday 10/23/09 |
16.1, 16.2 |
Double integrals over rectangles, Iterated integrals |
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Friday 10/23/09 Homecoming weekend No class |
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Day 15, Monday 10/26/09 |
16.3 |
Double integrals over general regions |
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Day 16, Wednesday 10/28/09 |
16.4 |
Double integrals in polar coordinates |
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Day 17, Friday 10/30/09 |
16.6 |
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Day 18, Monday 11/2/09 |
16.7, 16.8, 16.9 |
Triple integrals in cylindrical and spherical coordinates |
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Day 19, Wednesday 11/4/09 |
17.1, 17.2 |
Line integrals and vector fields |
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Day 20, Friday 11/6/09 |
17.3 |
The fundamental Theorem for line integrals |
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Day 21, Monday 11/9/09 Second Midterm 6-8 PM in
Carpenter 013 |
17.3 |
The fundamental Theorem for line integrals |
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Day 22, Wednesday 11/11/09 |
17.4 |
Green’s Theorem |
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Day 23, Friday 11/13/09 Final day to withdraw from the course |
17.5 |
Curl and divergence |
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Day 24, Monday 11/16/09 |
17.6 |
Parametric surfaces and their area |
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Day 25, Wednesday 11/18/09 |
17.7 |
Surface area |
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Day 26, Friday 11/20/09 |
17.8 |
Stokes and Gauss Theorem |
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Day 27, Monday 11/23/09 |
17.8 |
Stokes and Gauss Theorem |
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5:50 PM 11/24/07- 7:45 AM 11/30/07 Thanksgiving Recess |
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Day 28, Monday 11/30/09 |
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 29, Wednesday 12/02/07 |
Wrap up |
Wrap up |
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Thursday 12/03/09- Friday 12/04/09 Pre-Examination Break |
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Final Exam is 11:30 AM -2:30 PM on Monday December 7 in Kemeny 007 |
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