S212 | 3199 | Brown

This course is designed for students of outstanding ability who are strongly motivated to study in greater depth the rudiments of elementary calculus. We will begin with a review of basic concepts, including those of limit, continuity, etc., as well as discussions of the mean value theorem and the fundamental theorem. The material of M212 will be covered, but at a greater pace and with different emphasis. These topics include techniques of integration, sequences and computations/approximations with infinite series of functions (e.g., the use of Taylor series to differentiate and integrate transcendental functions), etc. The course will also employ the computer to help the student gain a better understanding of the material. MAPLE, a symbolic manipulation computer program, will be used. Regular homework assignments and quizzes will be given. The prerequisite is M211, Calculus I, and consent of the department.