Integration Applications of the Definite Integral Logarithmic and Exponential Functions Inverse Trigonometric Functions Techniques of Integration L'Hôpital's Rule	Course Text Calculus: Late Transcendentals Single and Multivariable, Eighth Edition by Howard Anton, ISBN#0471482730
The EPGY Calculus B course covers much of what is generally covered in a second-quarter college calculus course. Together with Calculus A, this course prepares students to take the AB Calculus AP exam. The course is designed to take about 12 weeks to complete on average.

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.

Homework

Exams

A sample examination answer entry form

At the end of each section of the course, students complete exams. Exams are first done on paper, then entered into an exam page like the one shown at left. Students get immediate feedback on their answers. Exams are submitted both electronically and via mail. Many problems involve longer proofs and derivations and must be graded by hand. Students are expected to retake exams if they score less than 85%. At the end of the course, students take a final exam. Students are required to score over 85% on this exam or retake it. The course grade is largely based on the final exam grade.