advanced active
Calculus 3
Multivariable calculus, vector fields, and advanced integration.
Level
advanced
Length
about 4.5 hours of preview material
Topics
5
Prerequisites
Calculus 2
Early public version Last reviewed 2026-07-08
Early public version. Estimated full course duration to be updated.
About this course
Calculus 3 covers functions of several variables, partial derivatives, multiple integrals, vector calculus, line and surface integrals, and the theorems of Green, Stokes, and Gauss.
What you'll learn
- Work with functions of several variables and partial derivatives
- Set up and evaluate multiple integrals in different coordinate systems
- Compute line and surface integrals over curves and surfaces
- Recognize when Green's, Stokes', or the Divergence theorem applies
- Connect vector calculus to physics and engineering
Course structure
U01 Functions of several variables 4 topics
U02 Multiple integrals 5 topics
U03 Vector calculus 5 topics
U04 Line and surface integrals 5 topics
U05 Theorems of Green, Stokes, and Gauss 3 topics
How the course works
When you open the course, your browser loads a course player that runs the lessons locally. Each topic is a self-paced lesson: scripted slides, interactive widgets, and short exercises. The player remembers where you stopped, so you can pause and come back without losing your place.
Course content source:
webdeck_multi_youtube/courses/AU/ARIAN_Calculus_3/