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Massachusetts Institute of Technology

Multivariable Calculus 1: Vectors and Derivatives

Massachusetts Institute of Technology via MITx Online

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Overview

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We live in a multivariable world. Explore the derivative in higher dimensions and learn how to apply it to solve real world problems. Part 1 of 3.

Syllabus

  • How to visualize functions of 2 and 3 variables using level curves and level surfaces
  • How to compute partial derivatives, directional derivatives, and gradients
  • How to optimize multivariable functions subject to constraint equations
  • How to represent the linear approximation of a multivariable function using vectors and matrices.

Taught by

Lawrence Guth, Denis Auroux, and Jennifer French

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