Wolfram U

Introduction to Multivariable Calculus

  • Interactive Course
  • 10 h
  • Intermediate
  • 2 Certifications

Estimated Time: 10 h

Course Level: Intermediate

Requirements: This course requires basic working knowledge of Mathematica or Wolfram Language. The prerequisite for multivariable calculus is single-variable calculus.

Certification Levels: CompletionLevel 1


This comprehensive multivariable calculus course uses state-of-the-art Wolfram Language functionality for the computation and visualization of concepts, making this elegant body of mathematical knowledge easy and fun to learn. Multivariable calculus extends the notions of limits, derivatives and integrals to higher dimensions. It also considers constrained and unconstrained optimization problems and explores the three great theorems of multivariable calculus: Green's theorem, Stokes' theorem and the divergence theorem. Learning multivariable calculus is the first step toward advanced calculus and follows single-variable calculus courses. Master this difficult but highly applicable branch of mathematics and be equipped to perform modeling and regression analysis in economics, engineering, data science and other fields.

Featured Products & Technologies: Wolfram Language (available in Mathematica and Wolfram|One)

You'll Learn To

  • Visualize and analyze vector functions
  • Plot functions with two and three variables
  • Compute partial derivatives and gradients
  • Solve multivariable optimization problems
  • Evaluate double and triple integrals
  • Apply line and surface integrals to physical problems

Certifications Available

  • Completion Certificate

    Certify your completion of this course by watching course videos and passing the auto-graded quizzes.

    Track My Progress
  • Level 1 Certification

    Pass the auto-graded quizzes and final exam to certify your proficiency in multivariable calculus.

    Track My Progress

About This Interactive Course

It's free and easy to get started with open interactive courses using the Wolfram Cloud—sign in with your Wolfram ID or create one. No plan is required. This interactive course includes video lessons, quizzes, practice problems, a final exam and a scratch notebook, all in an easy-to-use interface. From the interactive course, click Track My Progress to chart your certification progress as you go. Recommended best practice for completing this interactive course is to start with Lesson 1 and progress through the video lessons, taking each quiz in the order it appears in the table of contents.