Calculus with Theory

As taught in: Fall 2010

A cartoon that demonstrates the importance of understanding the infinitestimals.

Calculus has practical applications, such as understanding the true meaning of the infinitesimals. (Image courtesy of Anna Lachowska.)

Instructors:

Christine Breiner

MIT Course Number:

18.014

Level:

Undergraduate

Course Features

Course Highlights

This is the first course in a two-part sequence on Calculus with Theory, 18.014 and 18.024. The course is taught using the textbook by T. Apostol, "Calculus" Vol. I Second Edition (1967) and the additional course notes by James Raymond Munkres, Professor of Mathematics, Emeritus.

Course Description

18.014, Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus.