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 12.1 - Separable Partial Differential Equations

Section 12.2 - Classical PDEs and Boundary-Value Problems

Section 12.3 - Heat Equation

Section 12.4 - Wave Equation

Section 12.5 - Laplace’s Equation

Section 12.6 - Nonhomogeneous Boundary-Value Problems

Section 12.7 - Orthogonal Series Expansions

Section 12.8 - Higher-Dimensional Problems