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# York University

## AK/AS/SC/MATH 3010.03MW, Winter 2000

# VECTOR INTEGRAL CALCULUS

Course Outline

### Prerequisites:

MATH2010.03 or MATH2310.03 or MATH2015.03

Students having MATH2015.03 need permission of the department to take
the course, as there is significant overlap between the two.
### Corequisite:

MATH2022.03 or MATH2222.03
### Instructor:

Tom Salisbury
- email: salt@yorku.ca
- Office: N625 Ross Building
- Phone: (416) 736-5250 (via Math Dept.)

(416) 736-2100 extension 33938 (via York switchboard)
- Fax: (416) 736-5757

### Lectures:

MWF 1:30-2:20 in 341 Bethune College

Atkinson students should note that Faculty of Arts calendar dates
apply to this course.
### Office hours:

MF 2:30-3:30

If you need to see me outside these hours, you are welcome to drop by my
office. If I am able to talk to you then, I will; if not we can arrange
another time. Or you can e-mail to arrange an appointment.
### Text:

*Vector Calculus*
by Marsden and Tromba; 4th edition, W.H. Freeman, 1996.
### Problem session:

There will be two weekly problem sessions for the course, both held in N501
Ross, and both starting the week of January 10. The hours are
- Tuesday 11:30-12:20
- Wednesday 4:30-5:20

### TAs:

Mark DeFazio, and Tran Kim Quang
### Grading:

- 25% Midterm exam (Wednesday February 23)
- 10% Quizzes (2 for 20 minutes each, on Wednesday Jan. 26 and March 15)
- 15% Assignments (roughly weekly)
- 50% Final exam
- I will mark the midterm and finals. The TAs will mark the
quizzes and assignments. Restrictions on TA hours mean that only a
selection of the problems will be marked.
- No late assignments will normally be accepted, but I will
drop everybody's worst assignment mark.
- Assignments may be handed in in class
or dropped in the course mailbox (one of the brown boxes by the
north elevator of the 5th floor of Ross will soon have our course
number on it).
- All assignment, quizz, and exam marks should be interpreted
as raw scores and not 'percentages'. Cutoffs will be announced for
converting midterm scores into letter grades. The distribution of
scores will be announced for both the midterm and the quizzes.

### Course description:

The course continues the study of vector calculus,
begun in first and second year calculus courses. It will begin by reviewing
some of the vector differential calculus studied in second yuear, but without
restricting attention solely to dimensions 2 and 3. It will treat Jacobian
matrices and the implicit function theorem, and will then go on to study the
change of variables formula for multiple integrals via Jacobian determinants. It
concludes by treating line and surface integrals, including the versions of the
fundamental theorem of calculus that they obey, namely Green's theorem,
Stokes's theorem, and the divergence theorem. General differential forms will
be covered only if time permits.