Cal III (Resource page)

Homework Assignments and Practice Tests

These assignments act as "practice tests" for the class tests and exam - in addition to being homework.
After they are due I will post the answers on the course webpage Please let me know if you find any errors.

Problems?
Click here if you are having trouble with the PDF files.
Click here if you are having trouble with the handwritten files.

Assignments

Assignment 00 (PDF Format) (PS format)

Assignment 0 (PDF Format) (PS format)

Assignment 1 (PDF Format) (PS format)

Assignment 2 (PDF Format) (PS format)

Assignment 3 (PDF Format) (PS format)

Assignment 3 1/2 (PDF Format) (PS format)

Assignment 4 (PDF Format) (PS format)

Assignment 4 1/2 (PDF Format) (PS format)
Answers

Assignment 5 (PDF Format) (PS format)

Cal III notes

(Some of these notes are taken from your text book or past texts.)

Review: Notes on topics from Cal II

Some curves in polar coordinates. Some standard curves and the equations that generate them.

Maple worksheet: Introduction to polar coordinates. On my Links page, I give some links to sites with Maple tutorials and exercises in Cal I, II, III - here is a sample of a Maple file you can open in Maple and experiment on, taken from that site. (Don't try to read this in your browser! Right click, save link/target as ..., and then open the file with Maple.)
Please don't print this out at the college - the idea is for you to read and experiment with this file in Maple, not to print it and read it off-screen. It's long enough for lab technicians to worry about the cost of printing!

Summary notes on vector geometry (by Denis Sevee)

[Image: Evolute of the ellipse] Quadric surfaces. Some standard surfaces and the equations that generate them.

The quadrics discussed in class:

A viewable version which you view in your browser
A printable version which you can print (PDF format)
The MAPLE worksheet used to generate these images (Don't try to view this file in your browser - save it and open it in MAPLE.)

Some worksheets exploring extra topics
(Some of these have been possible CAM assignments in some years)
Aspects of Pi (PDF format)     (Uses Chp 8, Stewart, Essential Calculus)
Some properties of the (inverted) cycloid (PDF format)     (Uses Chp 9)
Do curve balls really curve? (PDF format)     (Uses Chp 10)
Envelopes (PDF format)     (Uses Chp 11)
The 2nd derivative test and the chain rule (Assignment 4 1/2) (PDF Format) (PS format)     (Uses Chp 11)
The Tower of Babel and other stories     (Uses Chps 10-12)

And more:
Bill Boshuck's notes on derivatives of multivariable functions (Chp 11)

FLATLAND - A Romance of many dimensions
A novel dealing with the question of whether the fourth dimension can exist, and how we might seek to perceive it (based on the analogy of a 2D being trying to imagine a 3D world). Lots of fun, even if it was written long ago.
[If you have trouble with the URL, try here.]
Another helpful page in visualizing 4D
[This Union College teacher's Home Page has a lot of good stuff on it. Including tips for studying, mathematical art, movies for maths (including one on hyperboloids, as well as the 4D stuff), geometry and web math projects, and advice for life.]