Integration Applications of the Definite Integral Logarithmic and Exponential Functions Inverse Trigonometric Functions Techniques of Integration L'Hôpital's Rule An introduction to integral calculus. Topics include parametric equations, Riemann sums, indefinite and definite integrals, techniques of integration, and applications of the integral. (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, which introduce new concepts to the students. Students are taught these concepts by answering sets of questions leading them towards the concept as a conclusion. Applications are presented and weak areas are addressed through lectures presented as digitized audio accompanied by either handwritten or formatted text. View detailed lesson contents.

Exercises and Quizzes

After new topics are introduced, 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.