Math 285,
Honors Multivariable Calculus III
Fall 1999 Peter Selinger |

Updates are shown in red.

**Time:** MTWF 12-1.

**Location:** MWF in 4096 East Hall. Tuesdays in 2443 Mason Hall.

**Course Description:** Multivariable calculus is a fascinating
subject which combines ideas from geometry and analysis. Functions of
several variables provide a much richer and more interesting structure
than can be seen in the one variable case, and they also give rise to
appealing two- and three-dimensional visualizations. Our objects of
study are curves in space, scalar fields, and vector fields. We will
study derivatives in higher dimensions, including directional and
partial derivatives, as well as gradients, divergence, and curl.
Higher-dimensional integrals include line, surface, and volume
integrals. All these concepts are intricately related to each other,
and the culmination of the course will be when we put them together in
the beautiful theorems of Green and Stokes.

**Course Work:** We will have two in-class (1 hour) midterms. The
final exam will be on Tuesday,

**Grading:** Grades will be based on the exams and homework.
Performance in class may be taken into account. Each midterm counts
25%, the final 35%, and the homework 15%.

**Textbook:** James Stewart. *Multivariable Calculus, 4th edition*.

**Office Hours:**

**Course Homepage:** Updated information, homework sets, any
handouts, etc., will be available from
http://www.mathstat.dal.ca/~selinger/courses/285F99/

To Peter Selinger's Homepage:

selinger@mathstat.dal.ca / PGP key