Cal III (Winter 04)

Marks

Cal III Marks
The final marks are finally posted.
Congratulations to all who survived the course!
Have a good vacation and good luck with your next studies.

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

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

Assignment 1 (PDF Format)   (PS format)    (Only do numbers 1, 2, 3 (b,f,g), 4, 6, 7, 8 for marks.)
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)
In spite of what it may or may not say on the sheet, please hand in the following numbers (for marking): 1(a,c), 2(a,d), 3b, 4b, 6(a,b), 7b, 9(a,b)
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)
I will only ask you to do Nos 4, 7, 12e,g, 13d,e, 14d,e, 15c,e, 17, 18, 21, 23, 25, 26, 33 for marks.
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)
NOTE: The assignment to be handed in consists of the following numbers:
15,17, 21, 22, 25, 27, 32, 34, 35, 36.
(Handwritten) solutions  (Bigger size) to the "non-homework" numbers.
(Handwritten) solutions  (Bigger size) to the homework numbers: 15,17, 21, 22, 25, 27, 32, 34, 35, 36.

Assignment 5 (PDF Format)   (PS format)
You are asked to do numbers 1, 2, 3, 4, 6, 8, 9, 10 for marks (do 12 for a bonus).
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, for the closer your work is to mine, the lower your grade will be! Do the problems yourself first, check your work against these answers, and then try again, without copying my answers. Make sure you understand things well enough to be able to do the work on your own (eg on the test!).
(Handwritten) solutions: Page 1  Page 2
(PDF format for printing: Page 1  Page 2)

Practice Tests

Practice Test 2
The graphs

Practice Test 3    [Answers]   [PDF]

Test 1A    Test 1B
   [Test 1A Answers]    [Test 1B Answers]

Test 2A   [Answers] [Large size]

Test 3   [Answers] [Large size]

Notes

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.]