Earth to Mars

Introduction to Differential Equations

A differential equation is an equation that relates one or more functions and their derivatives. Differential Equations is the next milestone math course after Calculus II for Physics and Engineering. The techniques to solve differential equations of varying order, boundary value problems as well as performing Laplace and Fourier Transforms are invaluable for those degrees. 

The prerequisites for this course are: Calculus II, and Multivariable Calculus

This course is a co- or prerequisite for: Mechanics I

Book resources 

Section 11.1 - Orthogonal Functions

Section 11.2 - Fourier Series

Section 11.3 - Fourier Cosine and Sine Series

Section 11.4 - Sturm-Liouville Problem

Section 11.5 - Bessel and Legendre Series