Multivariable Calculus with Theory

An illustration of a squirrel holding a bagel. The saddle points are highlighted in red.

How many saddle points can you find on a squirrel? And if he is eating a bagel? (Image courtesy of Anna Lachowska.)


MIT Course Number


As Taught In

Spring 2011



Cite This Course

Course Features

Course Highlights

This is the second 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

This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.

Christine Breiner. 18.024 Multivariable Calculus with Theory, Spring 2011. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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