# UMTYMP Calc III Fall 2004

#### Class Information

- The easiest way to reach me is always via email: rogness@math.umn.edu
- Checking this page is not a requirement for the class, but you might find it useful. We'll post the syllabus here, in case you can't find yours and need to know what the homework assignment is. We'll also put lots of interactive examples here.
- Calculus III Fall 2004 Syllabus [pdf]

#### Homework and Exam Help

**Exams**

- Exam 1 Study Guide -- not computerized; get a copy in class.
- Exam 2 Study Guide [pdf]
- Exam 3 Study Guide -- not computerized, but its
solutions are!
- Exam 1 Solutions [pdf]
- Exam 2 Solutions [pdf]

**Homework**

#### Online Examples and Demonstrations

I'll try to post the various demonstrations and interactive examples from class on this page, as well as a few others you might find interesting. Links marked with a (*) are actually examples/demos from a different course here that I've also taught; I'm putting them here because I think they're useful and informative, but beware that the notation can be a little different.

**Chapter 10**

- Parametrized Surface: A Torus
- Continuously Varying Normal Vectors on a Paraboloid
- Is the cone a smooth surface or not? Watch this animation of the normal vector on the cone and decide!
- The Moebius Strip,* a nonorientable surface
- Parametrized Surfaces*

**Chapter 12**

- Estimating Double Integrals
- Change of Variables: Polar to Rectangular Coordinates

- Change of Variables: A Nonlinear Transfoormation
- Change of Variables in 3D: A Story*

**Chapter 13**

- The 2D Vector Field Applet we used in class. (External site)
- The 3D Vector Field Applet we used in class. (External site)
- Line integral of a scalar function*
- Line integral of a Vector Field*

This page is * http://www.math.umn.edu/~rogness/umtymp/cIIIf04.shtml* and
belongs to *rogness@math.umn.edu* The views and opinions
expressed in this page are strictly
those of the page author. The contents of this page have not been
reviewed or approved by the University of Minnesota.

Many thanks to css/edge for a lot of the ideas used in the creation of this page.