This website is mainly for archival purposes. A list of other math REUs can be found on the NSF Math REU website.
First install the latest version of MikTeX. You can find it at https://miktex.org/. You can just use all their default/suggested settings when installing.
After you're done installing MikTex, you want to install WinEdt, which you can find at https://www.winedt.com/
We recommend using both LaTeX and pdfLaTeX. The latter is useful because you can include file types pdf, png, jpeg, and gif. Unfortunately, you can't include files of type eps. Therefore, if you produce any such files, you should convert them from eps to pdf. You may wish to download epstopdf and eps2pdf: https://ctan.org/tex-archive/support/eps2pdf/
If you ever encounter eps files without a bounding box, you will need to use a text editor to place a bounding box around them before doing anything such as converting to pdf. This is relatively easy to do: http://amath.colorado.edu/documentation/LaTeX/reference/figures.html
Here's a very nice tutorial LaTeX: http://www.math.ttu.edu/~daya/m5365/m5365.htm
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