Math 13
Calculus of Vector-Valued Functions
Last updated June 25, 2009 14:48:58 EDT

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• Solutions to Exams 1 and 2 are posted on the Exams page. Follow the link above.

### Syllabus

Lectures Sections in Text Brief Description
1/5 1.1 - 1.6 Vectors, Dot and Cross products, lines, planes, matrices
1/8 1.7 Polar, cylindrical, and spherical coordinates (no standard bases)
1/10 2.1-2.3 Functions of several variables, graphing surfaces, limits, continuuity, partial derivatives
1/11 (x-hour) 2.4 - 2.5 Properties of the derivative and the chain rule (brief higher order partials)
1/12 2.6 Directional Derivatives and the Gradient
1/17 3.1 Parametrized Curves
1/18 (x-hour) 3.2 Arclength (no curvature)
1/19 3.3 Vector Fields
1/22 3.4 Gradient, Divergence, Curl and the Del operator
1/24 5.1/5.2 Areas and Volumes, Double Integrals
1/26 5.2/5.3 Double Integrals, Changing the order of integration
1/29 5.4 Triple Integrals
1/31 5.5 Change of Variables
2/2 5.5 Change of Variables
2/5 5.6 Applications of Integration
2/7 5.6 Applications of Integration; review of problems from Chapter 5
2/12 6.1 Scalar and Vector line integrals
2/14 6.1 Scalar and Vector line integrals
2/16 6.2 Green's theorem
2/19 6.3 Conservative Vector Fields
2/21 7.1 Parametrized surfaces
2/23 7.1/7.2 Areas of surfaces; surface integrals
2/26 7.2 Surface Integrals
2/28 7.2 Stokes's and Gauss's theorems
3/2 7.3 Stokes's and Gauss's theorems
3/5 7.3 Stokes's and Gauss's theorems
3/7 Course summary/review

Stephanie Treneer

Last updated June 25, 2009 14:48:58 EDT