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 14.1 - Functions of Several Variables

Section 14.2 - Limits and Continuity

Section 14.3 - Partial Derivatives

Section 14.4 - Tangent Planes and Linear Approximations

Section 14.5 - The Chain Rule

Section 14.6 - Directional Derivatives and the Gradient Vector

Section 14.7 - Maximum and Minimum Values

Section 14.8 - Lagrange Multipliers