Calculus with Theory

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.)


MIT Course Number


As Taught In

Fall 2010



Cite This Course

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.

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Christine Breiner. 18.014 Calculus with Theory, Fall 2010. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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