Course MAT322

Introduction to Differential Equations

An introduction to differential equations, covering both applications and fundamental theory.  Basic second-order differential equations (including the wave, heat and Poisson equations); separation of variables and solution by Fourier series and Fourier integrals; boundary value problem and Green's function; variational methods; normal mode analysis and perturbation methods; nonlinear first-order (Hamilton-Jacobi) equations and method of characteristics; reaction-diffusion equations.  Application of these equations and methods to finance and control.  Prerequisites:  MAT201 and MAT202.

Description of classes

Classes meet Monday and Wednesday.


Matlab will be used to assist visualizing solutions.

Who Takes This Course

Not Open to Freshmen.


Take Home Final Exam - 50%
Problem set(s) - 50%