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 4.1 - Preliminary Theory—Linear Equations

Section 4.2- Reduction of Order

Section 4.3 - Homogeneous Linear Equations with Constant Coefficient

Section 4.4 - Undetermined Coefficients—Superposition Approach

Section 4.5 - Undetermined Coefficients—Annihilator Approach

Section 4.6 - Variation of Parameters

Section 4.7 - Cauchy-Euler Equation

Section 4.8 - Green’s Functions

Section 4.9 - Solving Systems of Linear DEs by Elimination

Section 4.10 - Nonlinear Differential Equations