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.

OCW Scholar Version Question_svt logo

Other OCW Versions

Archived versions: Question_avt logo

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

For more information about using these materials and the Creative Commons license, see our Terms of Use.