### An introduction to Applied Mathematics

#### List of topics

We will cover some of the following topics, not necessarily
in this order.

Regular and singular perturbation

Calculus of variations

The Laplace transform

Weak differentiation

The Fourier transform

Stability for systems of ODEs

Eigenvalues of elliptic operators

We will take much of this material from Logan's Applied Mathematics.
There will be hand-outs or additional documents (posted in
this site) for some of the lectures. For computing purposes I
strongly recommend the usage of a symbolic package. You work
online with WolframAlpha.
A direct link to its integrator.
Examples of how to input differential
equations in WolframAlpha. I am very partial for the
symbolic package of Matlab, mainly because of its clean
syntax. I am not expecting students in this class to spend
time with basic calculus problems.

### Information

The contents of this website will be updated as the course
progresses. Look at the schedule page for updates on lectures,
homework, quizzes and other kinds of evaluation methods. Look
at the syllabus for attendance policy, evaluation methods and
for a refresher on scholastic honesty requirements.