Cal III (Winter 09)

Marks

Cal III Marks
The final grades are posted now and have been submitted to the college.
Congratulations to all who survived the course - and my best wishes for your future studies. Have a great summer.

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

Assignments and Answers

(The complete set of asssignments is on the Cal III resource page.)

Assignment 0 (PDF Format) (PS format) (Review only)
Answers to Assignment 0 (PDF) (GIF Format)

Assignment 1 (PDF Format) (PS format)
Answers to Assignment 1

Assignment 00 (PDF Format) (PS format) (Review only)
Answers to Assignment 00 (PDF) (PS Format) Handwritten (more detail) (JPG) (PDF Format)

Assignment 2 (PDF Format) (PS format)
The graphs
(Handwritten) solutions: Page 1 Page 2 (for printing)
(Bigger size!: Page 1 Page 2) (just for on-screen)

Assignment 3 (PDF Format) (PS format)
Here are the answers to all the problems.
(Handwritten) solutions: Page 1 Page 2 Page 3 Page 4
(Bigger size!: Page 1 Page 2 Page 3 Page 4)
The graphs (PDF format) (MWS format - Maple worksheet)
Remark about question 12(g) (the saddle)

Assignment 3 1/2 (PDF Format) (PS format)
(Handwritten) solutions (Bigger size)

Assignment 4 (PDF Format) (PS format)
(Handwritten) solutions (Bigger size) to some of the numbers.
(Handwritten) solutions (Bigger size) to the rest of the numbers.

Assignment 5 (PDF Format) (PS format)
To let you review your work on this assignment (as preparation for the test) I am posting the answers - however, if you intend to hand in work for marks, be sure you don't just copy my answers, but show your own work. I will post more complete solutions later.
Answers
Here are the complete solutions:
(Handwritten) solutions: Page 1 Page 2
(PDF format for printing: Page 1 Page 2)

Practice Tests

Practice Test 1
[Answers] [More Answers]

Practice Test 2
The graphs

Practice Test 3 [Answers] [PDF]

[Image: Evolute of the ellipse]

Test Answers

Test 1 [Answers]

Test 2 [Answers] [Large size]

Test 3 [Answers]

Notes on various topics

[Including Review of Cal II series convergence tests]

Comprehensive Assessment Project

The CA general project description
The CA assignment Part II

Entertainments

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.
[The original site for this novel is here.]

Some Notes on the Fourth Dimension [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.]