Math 11
Fall 2005

Multivariable Calculus for two-term AP students
Last updated May 31 2008 12:24:02

General Information Syllabus HW Assignments WeBWorK Maple Demos


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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
9/21 13.1, 13.2 Coordinates and vectors in R2 and R3
9/23 13.3, 13.4 Dot and Cross Products (no direction angles/cosines)
9/26 13.5 Lines and Planes in R3
9/28 14.1, 14.2 Vector functions, space curves, derivativess, integrals
9/30 14.3, 14.4 Arclength, velocity, acceleration (no curvature, normal, binormal)
10/3 15.1, 15.2 Functions of several variables, limits, continuity
10/5 15.3 Partial Derivatives
10/7 15.4 Tangent Planes
10/10 15.5, 15.6 Chain Rule, Directional Derivatives and the gradient
10/12 15.6 Directional Derivatives and the gradient
10/14 15.7 Optimization
10/17 15.7 Optimization
10/17  
First Hour Exam 4 - 6 pm
10/19 16.1 Double Integrals over rectangles
10/21 16.2 Iterated integrals
10/24 16.3 Double Integrals over General Regions
10/26 16.4 Double Integrals in polar coordinates
10/28 16.6 Surface Area
10/31 16.7 Triple Integrals
11/2 13.7, 16.8 Cylindrical and spherical coords; Integrals
11/4 17.1, 17.2 Vector Fields, Line Integrals
11/7 17.3 Fundamental Theorem of Line Integrals
11/7  
Second Hour Exam 4 - 6 pm
11/9 17.3 Fundamental Theorem of Line Integrals
11/11 17.4 Green's Theorem
11/14 17.5 Curl and Divergence
11/16 17.6 Parametric Surfaces and their areas
11/18 17.7 Surface Integrals
11/21 17.8 Stokes' Theorem
11/23-11/27  
Thanksgiving break
11/28 17.9 Gauss' Theorem
11/30   Wrap it up


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