Functions and Limits Differentiation Applications of Differentiation Related Rates Implicit Differentiation An introduction to differential calculus. Topics include limits, continuity, derivatives and differentiability, applications, related rates, and implicit differentiation. (3 units)

Course Text Calculus, 5th ed., by Howard Anton, ISBN#0-471-59495-4

Lectures

Students have the choice of viewing the course lectures in either handwritten or formatted-text mode

The course is divided into several lessons, most of which begin with a lecture presented as digitized audio accompanied by either handwritten or formatted text. View detailed lesson contents.

Exercises and Quizzes

After most lectures, students are asked to try some sample questions about the new material. Once they have some practice, they receive graded online quizzes. Often, students are asked to fill in steps of proofs of the theorems taught in the course. Each week, students report their exercise and quiz scores to their instructor, who keeps detailed student records and identifies special problem areas.

A sample quiz screen

The Derivation System

Students use the derivation system to solve problems using the basic rules of algebra and calculus.

Additionally, students are given problems to solve using EPGY's unique derivation system. The derivation system provides students with a symbolic computation environment that forces them to not only find the correct answer but to know exactly what steps were involved in deriving that solution. By using specific rules to transform the given equations, students construct solutions to problems in the manner of an algebraic proof.