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
Summary
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. Wolfram AI Course Assistant is available for this interactive course.
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
New! Wolfram AI Course Assistant
This interactive course includes video lessons, quizzes, practice problems, a final exam and our new chat-based Course Assistant powered by Wolfram LLM Kit. Ask Course Assistant anything about the lesson, and it will provide you with contextually aware answers and even relevant code. Get started with our free courses by signing in to the Wolfram Cloud with your Wolfram ID—or create one; it's free! Our 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. You can click Track My Progress to chart your certification progress as you go. Wolfram AI Course Assistant is included with a Wolfram Notebook Assistant + LLM Kit subscription.
