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 15.1 - Double Integrals over Rectangles

Section 15.2 - Double Integrals over General Regions

Section 15.3 - Double Integrals in Polar Coordinates

Section 15.4 - Applications of Double Integrals

Section 15.5 - Surface Area

Section 15.6 - Triple Integrals

Section 15.7 - Triple Integrals in Cylindrical Coordinates

Section 15.8 - Triple Integrals in Spherical Coordinates

Section 15.9 - Change of Variables in Multiple Integrals