Calculus I/II

Course Overview

Calculus I/II is a comprehensive calculus course designed to cover limits, derivatives, integrals, and sequences and series. It covers the Calculus I and Calculus II curriculum in a single year. Because the sheer volume of material is so great, the course is intended for students with a proven record of accomplishment and interest in mathematics. The course begins with the study of limits and the techniques of differential calculus. Students then advance to integral calculus. Integral calculus emphasizes advanced techniques of integration and their applications. Once students have shown competence with both integral and differential calculus, they are prepared for differential equations and sequences and series. The differential equations section is designed to provide students with an introduction to the topic, which will give them an advantage when they take a dedicated differential equations course. The sequences and series unit focuses on tests for convergence and divergence, power series, expressing functions as power series, and Taylor/Maclaurin Series.