WHAT, WHERE & WHEN

Calculus I, Math 3.3, 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.

Functions
	Definitions
	Graphs
	Operations on/with functions

Limits and continuity
	Intuitive introduction to limits
	Operations on limits
	Continuity
	Limits at infinity and infinite limits

Derivatives
	Motivation
		Tangents
		Velocity
	Concept of the derivative
	Differentiation formulae (product, quotient and power rules)
			Addition rule
			Product rule
			Quotient rule
			Power rule
	Chain rule
	Implicit differentiation
	Higher derivatives
	Related rates
	Differentials

· Exponential and logarithmic functions
	Properties of the exponential and logarithmic functions
	Derivatives of the exponential and logarithmic functions
	Inverse functions
	Exponential growth and decay

· Applications of derivatives
	Min/Max problems
	Mean value theorem
	First and second derivative tests for relative extrema
	Concavity and points of inflection
	Curve sketching
	Applications to economics

· Antiderivatives and integration
	Introduction to antiderivatives
	Area under a curve
	The definite integral
	Properties of the definite integral
	Properties of the definite integral
	Fundamental theorem of calculus
	Integration by simple substitution
	The logarithm as an integral

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.