Calculus III — Multivariable Calculus

Functions of several variables, partial derivatives, gradients, multiple integrals, and vector calculus (Green’s, Stokes', Divergence theorems).

Course Overview

Textbook

OpenStax Calculus Volume 3

Chapters

TBD

Sections

TBD

Prerequisites

Calculus II

Target

Foundation for Differential Equations, Differential Geometry, PDEs

Status

Planned

Chapters will be scaffolded when this course becomes active.

Why This Course

  • Machine learning — gradient descent operates in multivariable space

  • Electromagnetics — Maxwell’s equations are vector calculus

  • Fluid dynamics — divergence and curl describe flow

  • Computer graphics — surface integrals, parameterization

  • Optimization — Lagrange multipliers for constrained problems