Multivariable Calculus and Vector Calculus
Pro Only
Preview
From partial derivatives to Green’s, Stokes’, and Divergence theorems—calculus in 3D.
10 content steps
4 quizzes
~210 minutes
Popular
Journey Overview
Preview what you'll learn in this journey
Journey Steps
Preview
1
Content Step 1
Content
Vectors in 3D and parametric curves
2
Content Step 2
Content
Partial derivatives and gradient
3
Content Step 3
Content
Tangent planes and linearization
4
Quiz 4
Quiz
Checkpoint Quiz
5
Content Step 5
Content
Multivariable chain rule
6
Content Step 6
Content
Optimization with constraints (Lagrange multipliers)
7
Content Step 7
Content
Multiple integrals and change of variables
8
Quiz 8
Quiz
Checkpoint Quiz
9
Content Step 9
Content
Vector fields and line integrals
10
Content Step 10
Content
Surface integrals and flux
11
Content Step 11
Content
Green’s theorem, Stokes’ theorem, Divergence theorem
12
Quiz 12
Quiz
Checkpoint Quiz
13
Content Step 13
Content
Physical applications and problem types
14
Quiz 14
Quiz
Checkpoint Quiz
Ready to Start Learning?
Upgrade to Pro to unlock this journey and start learning.
Interactive Learning
Engage with content through explanations and quizzes
Progress Tracking
Track your learning progress and achievements
Earn XP
Gain experience points as you complete steps