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Multivariable Calculus (18.02SC)

MIT's self-study multivariable calculus: vectors, partial derivatives and multiple integrals.

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About this course

Professor Denis Auroux's OCW Scholar course extends calculus to several variables. Each unit combines lecture videos, recitation videos and problem sets with solutions, ending with vector calculus theorems in the plane and in space.

Best for: Engineering and physics learners who have finished single-variable calculus.

What you will be able to do

  • Use vectors and matrices to describe geometry in space
  • Compute partial derivatives, gradients and optimise functions
  • Evaluate double, triple, line and surface integrals
  • Apply Green's, Stokes' and divergence theorems

Syllabus and your progress

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Cost and certificate

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Before you start: Single-variable calculus

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Quick answers

Is Multivariable Calculus (18.02SC) really free?
Yes, the course material is free on MIT OpenCourseWare. No certificate; MIT OpenCourseWare publishes course materials without enrolment or credentials.
How long does Multivariable Calculus (18.02SC) take?
MIT OpenCourseWare does not publish an hour estimate. It is self-paced, so you set the pace.
Do I need experience before Multivariable Calculus (18.02SC)?
It helps to have: Single-variable calculus.

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Multivariable Calculus (18.02SC)

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