OCW Scholar

Multivariable Calculus

Graph of an eighth of a sphere.

Directional derivatives for functions of two variables. (Image courtesy of John B. Lewis.)

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Course Description

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

Course Formats

The materials have been organized to support independent study. The website includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:

  • Lecture Videos recorded on the MIT campus
  • Recitation Videos with problem-solving tips
  • Examples of solutions to sample problems
  • Problem for you to solve, with solutions
  • Exams with solutions
  • Interactive Java Applets ("Mathlets") to reinforce key concepts
  • An Online Study Group

Content Development

Denis Auroux
Arthur Mattuck
Jeremy Orloff
John Lewis

Heidi Burgiel
Christine Breiner
David Jordan
Joel Lewis


About OCW Scholar

OCW Scholar courses are designed specifically for OCW's single largest audience: independent learners. These courses are substantially more complete than typical OCW courses, and include new custom-created content as well as materials repurposed from previously published courses. Learn more about OCW Scholar.