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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

Lectures:

MWF 1:30-2:20 in 341 Bethune College
Atkinson students should note that Faculty of Arts calendar dates apply to this course.

Course Webpage

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

TAs:

Mark DeFazio, and Tran Kim Quang

Grading:

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.