Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Massachusetts Institute of Technology

Multivariable Calculus 3: Theorems and Applications

Massachusetts Institute of Technology via MITx Online

Go to class Write review
Simplilearn Ad

Earn a Michigan Engineering AI Certificate — Stay Ahead of the AI Revolution

Learn More → Great Learning Ad

Advanced Techniques in Data Visualization - Self Paced Online

Learn More →

Overview

Google, IBM & Meta Certificates — All 10,000+ Courses at 40% Off
One annual plan covers every course and certificate on Coursera. 40% off for a limited time.
Get Full Access
We live in a multivariable world. Explore elegant theorems connecting differentiation, integration, and geometry in higher dimensions, and learn how to apply them to solve real world problems. Part 3 of 3.

Syllabus

  • Compute surface integrals that measure flux through spheres, cylinders, and parametrized surfaces
  • Compute line integrals that represent work done by vector fields along curves in space
  • Determine whether a vector field is conservative and construct corresponding potential functions
  • Apply the Divergence Theorem to relate surface flux to volume integrals
  • Compute the curl of a vector field and interpret its physical meaning as local rotation
  • Apply Stokes’ Theorem to relate circulation around a curve to the flux of curl through a surface
  • Analyze physical problems involving fluid flow, electromagnetism, and diffusion

Taught by

Lawrence Guth and Denis Auroux

Tags

Reviews

Start your review of Multivariable Calculus 3: Theorems and Applications

Go to class

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free
Someone learning on their laptop while sitting on the floor.