# Math 676 Graduate Differential Equations

### Course Info

Almost everything is on the course canvas page or on the official Math Department syllabus. Canvas and Google Docs are bad at rendering mathematics and computer code, so I maintain this webpage to post math-heavy and code-heavy information

#### MATLAB startup file

I use a file `startup.m`

to replace the default MATLAB graphing settings with something a little bit nicer. In particular, I include $\LaTeX$ formatting in my axis labels. $\LaTeX$ is a markup language that mathematicians use to typeset math. If any of my MATLAB programs give you errors, run these lines first:

```
set(groot,'DefaultAxesFontSize',14)
set(groot,'DefaultLineLineWidth',2)
set(groot,'DefaultFunctionLineLineWidth',2)
set(groot,'DefaultTextInterpreter','latex')
set(groot,'DefaultAxesTickLabelInterpreter','latex')
set(groot,'DefaultLegendInterpreter','latex');
```

This changes how math is interpreted in figures and requires any $\LaTeX$ math to be enclosed between dollar signs.

#### MATLAB Dynamical Systems Software

At some point, we may want to draw direction fields and phase planes. This capability is not built into MATLAB in a simple way, so you’ll have to install some additional software. The site provides complete documentation and how-to videos.