WHAT, WHERE & WHEN

Calculus III, Math 5.3, will have a new registration code each time it is offered. Its meeting times and places will vary from term to term. Consult the current schedule of classes for this information.

TEXT

The text and use of software will be determined by the instructor and/or the department of mathematics.

TOPICS

The subjects to be covered in the course are roughly the following.

Review
	parametric curves
	polar coordinates

Vectors and spatial geometry
	three dimensional coordinate systems
	spheres
	vectors
	dot product & projections
	cross product
	lines and planes

Vector functions
	vector functions and space curves
	derivatives and integrals of vector functions
	arc length and curvature
	motion in space: velocity and acceleration

Partial derivatives
	functions of several variables
	limits and continuity
	partial derivatives
	tangent planes
	chain rule
	directional derivatives and the gradient
	maxima, minima and saddle points
	Lagrange multipliers

Multiple integrals
	double integrals over rectangles, volumes
	iterated integrals
	double integrals over general regions
	double integrals in polar coordinates
	surface area *
	triple integrals
	cylindrical and spherical coordinates
	triple integrals in cylindrical and spherical coordinates

Vector calculus
	vector fields
	line integrals
	fundamental theorem of line integrals
	Green’s theorem
	surface integrals *
	Stokes’ theorem *
	divergence theorem *

GENERAL INFORMATION

The only known way to learn the subject is to do problems. A great deal of your time will be devoted to practice and discussion of problems, so there should be ample time to deal with difficulties arising in your studies. You should feel free to ask anyone for help, or work with your classmates, on assignments. Reasonable behavior that will help you learn the subject is certainly acceptable.

In general it will be helpful to have several writing utensils, a calculator and scratch paper handy as you work on this material. You will want to have a file, folder, or notebook in which you keep all of your notes. Much of this can be kept on computers, and you should also have a file on a hard drive and some sort of memory storage device (ZIP disc, memory stick, or some such) on which you keep all of your class related material.

Any feedback you have regarding the course will be welcome and deeply appreciated. Please feel encouraged to comment (anonymously or otherwise, as you please). And certainly at all times feel free to ask questions regarding either the structure of the class or the material being covered.

ATTENDANCE

You are not required to show up for class. Nevertheless, attendance will be recorded daily for administrative purposes. You are responsible for the work, and if you do not attend the responsibility to cover missed material is yours.

EXAM INFORMATION

A final exam will be given at a time set by the college. Midterm arrangements will be made by the instructor.

HOMEWORK SUBMISSION

Homework arrangements will be made by the instructor.

GRADING

Grading arrangements will be made by the instructor.