The University of British Columbia
Final Examination - December 2007
Mathematics 253
Multivariable Calculus
Closed book examination Time: 2.5 hours
Name Signature
Student Number
Circle your section no.: 101 Dr. Tsai 102 Dr. Graham 103 Dr. Froese
Special Instructions:
- Be sure that this examination has 10 pages. Write your name on top of each page.
- No calculators or notes are permitted.
- Show all your work. Unsupported solutions deserve no mark.
- In case of an exam disruption such as a fire alarm, leave the exam papers in the room and
exit quickly and quietly to a pre-designated location.
Rules governing examinations
•Each candidate should be prepared to produce her/his
library/AMS card upon request.
•No candidate shall be permitted to enter the examination
room after the expiration of one half hour, or to leave during
the first half hour of examination.
•Candidates are not permitted to ask questions of the in-
vigilators, except in cases of supposed errors or ambiguities
in examination questions.
•CAUTION - Candidates guilty of any of the following or
similar practices shall be immediately dismissed from the
examination and shall be liable to disciplinary action.
(a) Making use of any books, papers, or memoranda, other
than those authorized by the examiners.
(b) Speaking or communicating with other candidates.
(c) Purposely exposing written papers to the view of other
candidates.
•Smoking is not permitted during examinations.
1 20
2 12
3 10
4 12
5 12
6 12
7 10
8 12
Total 100
Page 1 out of 10
