Math 11
Fall 2005

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

Announcements:

• Final Exam: Saturday, December 3, 11:30am - 2:30pm
• Material covered: All material: approximately 50 points on old material, and 100 points on new material.
• There will be a set of practice problems and their solutions.
• There will be no calculators allowed, but you will be allowed one 8.5x11 inch piece of paper with anything you like written on both sides of it.
• Remember Shemanske's section and A-J of Daileda to 101 Bradley; the rest to 102 Bradley.
• Q&A for Math 11, Friday, Dec 2, 3-5pm 101 Bradley
• Problems getting your hardcopy?: Remember, your login is case sensitive. You must login with your login name as given to you. While WeBWorK initially lets you look at your problems on the web, it will fail when you get to the hardcopy. So if your last name is "Smith" it must be entered as such, and not as "smith".

## 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