Math 13
Multivariable Calculus
Last updated May 31, 2008 12:24:02 EDT

### Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
9/24 1.1 - 1.6 Vectors, Dot and Cross products, lines, planes, matrices
9/26 1.7 Polar, cylindrical, and spherical coordinates (no standard bases)
9/29 2.1-2.3 Functions of several variables, graphing surfaces, limits, continuuity, partial derivatives
9/30 (x-hour) 2.3 The Derivative
10/1   No class today
10/3 2.4 - 2.5 Properties of the derivative and the chain rule (brief higher order partials)
10/6 2.6 Directional Derivatives and the Gradient
10/8 3.1 Parametrized Curves
10/10 3.2 Arclength (no curvature)
10/13 3.3 Vector Fields
10/15 3.4 Gradient, Divergence, Curl and the Del operator
10/17 3.4/5.1 Gradient, Divergence, Curl and the Del operator; Areas and Volumes, an introduction
10/20 5.2 Double Integrals
10/21   First Hour Exam
10/21 (x-hour)   In class part with take-home due tomorrow
10/22 5.2 Double Integrals
10/24 5.3 Changing the order of integration
10/27 5.4 Triple integrals
10/29 5.5 Change of Variables
10/31 5.5 Change of Variables
11/3 5.6 Applications of Integration
11/5 6.1 Scalar and Vector line integrals
11/7 6.1 Scalar and Vector line integrals
11/10 6.2 Green's theorem
11/11   Second Hour Exam
11/11 (x-hour)   In class part with take-home due tomorrow
11/12 6.3 Conservative Vector Fields
11/14 7.1 Parametrized surfaces
11/17 7.1 Areas of surfaces
11/19 7.2 Surface Integrals
11/21 7.3 Stokes's and Gauss's theorems
11/24 7.3 Stokes's and Gauss's theorems
11/26   Thanksgiving break: 11/26 - 11/30
12/1 7.3 Stokes's and Gauss's theorems
12/3   Wrap it up

Thomas R. Shemanske
Last updated May 31, 2008 12:24:02 EDT