Earth to Mars

Multivariable Calculus

Multivariable Calculus is the differentiation and integration of functions involving several variables, rather than just one. It is used in many disciplines and the understanding of vectors, vectors spaces, and higher level integration techniques. 

The prerequisites for this course are:  Calculus II

This course is a co- or prerequisite for: Differential Equations, Classical Mechanics I

Book resources 

Section 16.1 - Vector Fields

Section 16.2 - Line Integrals

Section 16.3 - The Fundamental Theorem for Line Integrals

Section 16.4 - Green’s Theorem

Section 16.5 - Curl and Divergence

Divergence

Curl

Section 16.6 - Parametric Surfaces and Their Areas

Section 16.7 - Surface Integrals

Section 16.8 - Stokes’ Theorem

Section 16.9 - The Divergence Theorem

Section 16.10 - Summary