<p>Mudd is hard to transfer into and I assume Williams is also. I agree with various previous posters that Mudd will have the superior math department, but Williams’s is certainly an excellent one, so you have to choose a more relevant distinction. Have your son watch this link and see if that decides it for him! 
[YouTube</a> - Harvey Mudd College’s Rube Goldberg Machine - 2010](<a href=“Harvey Mudd College's Rube Goldberg Machine - 2010 - YouTube”>Harvey Mudd College's Rube Goldberg Machine - 2010 - YouTube)</p>
<p>Disclaimer: my son will be entering Mudd, his first choice, this fall.</p>