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MATH 3010 3.0AF (Fall 2015)
Vector Integral Calculus - Course outline


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.


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:

Instructor/Contact Information:

Tom Salisbury


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.


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.