Multivariable Calculus
Various
Master multivariable calculus! Explore functions of several variables, gradients, and more with this comprehensive course.
More resources on Multivariable Calculus
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Paul's Online Math Notes - Calc III
Complete Calculus III lecture notes from Lamar University, with worked examples and practice problems on 3D vectors, partial derivatives, multiple integrals in cylindrical and spherical coordinates, line and surface integrals, and the theorems of Green and Stokes.
Calculus Revisited: Multivariable Calculus (MIT RES.18-007)
A lecture series first released in 1971 reviewing multivariable calculus: vector arithmetic and vector functions, partial derivatives, multiple and line integrals, and matrix and linear algebra ideas. Includes 26 lecture videos, study guides, supplementary notes and problem solutions, suited to first-time learners and review.
Multivariable Calculus (MIT 18.02SC)
Differential, integral and vector calculus in several variables: vectors and matrices, partial derivatives, optimization, double and triple integrals, line integrals, and the theorems of Green, Stokes and Gauss. Includes 106 lecture and recitation videos, notes, and problems and exams with solutions, built for independent study.
Calculus Vol II - Tom M. Apostol
Covers multi-variable calculus, linear algebra applications, and differential equations.
Calculus: Multivariable
Pearson's multivariable half of the Briggs-Cochran sequence, covering vectors, curves in space, partial derivatives, multiple integration, and vector fields through Green's, Stokes', and divergence theorems, with large graded exercise sets and figures that build geometric intuition before the formal statements.