MATH 121-03/04, Calculus I, Fall 2008

Abstract

Course goals: To develop an understanding of the theory and applications of differential calculus. To introduce the basic concepts of indefinite and definite integrals. Prerequisite: The course assumes a solid background in high school algebra. It does not assume any previous experience with calculus. If you have seen some calculus before, some of the topics may seem repetitive, but you should not assume that it will automatically be easy for that reason. (If you have studied most of the topics in this course before, talk to the instructor about whether this is the right course for you.) This course is intended to lead you to a thorough understanding of differential calculus and its applications. Its approach follows what is sometimes called the Rule of Four: Every topic is presented algebraically, numerically, in graphs, and in words. You will be asked to engage the course material from all of these points of view. The style of this course may be different from your experience in previous math courses – even if you have studied some calculus in the past. Calculus is more than just rules for turning algebraic formulas into other algebraic formulas. Indeed, with the advances in current technology, much of the algebraic side of the subject can be done automatically by computers. Real understanding comes in knowing what the formulas tell you, and how to apply them in real and diverse situations.