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#
MATH 3010 3.0AF (Fall 2015)

*Vector Integral Calculus - Course outline
*

### Description:

This course studies the calculus of functions of several variables.
We'll work in n dimensions, rather than just 2 or 3, so linear algebra
enters in several ways. We'll start by reviewing several topics from
MATH 2310 involving differential calculus,
emphasizing situations where the linear algebra plays an
essential role, including the implicit function theorem.
We'll go on to look at some of the many types of integrals in the vector
setting, including the change of variables formula for multiple integrals,
as well as line integrals, surface integrals, vector fields, Green's theorem,
and Stokes's theorem.
### Prerequisites:

SC/MATH 2310 3.00

SC/MATH 2022 3.00 or SC/MATH 2220 3.00 (may be taken as a co-requisite)

SC/MATH 2015 3.00 may substitute for SC/MATH 2310 with permission of the
undergraduate program director. Because of the degree of overlap, this is
normally granted only to students whose programs require SC/MATH 3010.

There are no Course Credit Exclusions.
### Course Webpage:

www.math.yorku.ca/~salt/courses/3010f15/3010.html
### Instructor/Contact Information:

Tom Salisbury
- email: salt@yorku.ca
- Office: N536 Ross Building
- Personal homepage: www.math.yorku.ca/~salt/
- Phone: (416) 736-2100 extension 33921
- Leave messages in the Math and Stat department: (416) 736-5250

### Lectures:

MWF 10:30-11:20 in TEL 0005
### Office hour:

Wednesdays 1:30-2:30
I will try to post a notice on the course webpage if other commitments make
it necessary to reschedule.
If you can't make that time, you are welcome to e-mail or call
me to arrange an appointment at some other time. Or drop by my office, to see
if I'm available.

### Text:

*Multivariable Mathematics* by T. Shifrin, Wiley (2005)

We will cover sections 1-3 and 5-8. Some parts of this will be
familiar in the case of dimensions 2 and 3, and those will be done quickly.
### Grading:

- 20% Midterm exam 1 (Wednesday Oct 14)
- 20% Midterm exam 2 (Monday Nov 9)
- 15% Assignments
- 45% Final exam