Where and when

Smith Hall 221
M,W,F
11:15am-12:05pm

Office hours
M,W,F
8:00am-9:00am or
by appointment

Who


MATH 616 will be taught by Francisco-Javier Sayas

For more info on what I do and why, go to my website

What

We will use J David Logan's Applied Mathematics (3rd edition). If you have a copy of the 2nd edition it's fine too



UD

The Department of Mathematical Sciences at the University of Delaware
The University of Delaware itself

An introduction to Applied Mathematics

From the course description.... Introduction to ideas and techniques used in solving problems arising in a variety of physical settings. Stability of nonlinear systems of ODE's. Sturm-Liouville problems and Green's functions. The wave, heat and Laplace equations. Elementary analysis of some nonlinear PDE's. Elementary perturbation theory.

List of topics

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

Dimensional analysis
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.