Math/physics geniuses, I need your advice!

<p>From what I understand there are certain mathematical techniques that are considered “canon” in upper-level physics courses (e.g. diagonalizing matrices). I will be spending four months at home and would like to dedicate that time to learning as many of those techniques as possible. What should I study? Assume I will be able to cover three to four classes’ worth of material.</p>

<p>So far I’ve taken classes in linear algebra, differential equations, and multivariable calculus. My knowledge of multivariable calculus is somewhat shaky and I barely remember anything from differential equations, but I could pick up either subject fairly quickly (and I’ll also be taking both classes again when I go back to school).</p>

<p>@fizix2, you may want to ask this question in [College</a> Majors](<a href=“http://talk.collegeconfidential.com/college-majors/]College”>College Majors - College Confidential Forums).</p>

<p>Go through your old textbooks, use the lectures below and work out a few problems from the textbooks. You can pick up quizzes and exams at MIT OCW if that’s not enough.</p>

<p>[UCCS</a> | Department of Mathematics](<a href=“http://www.uccs.edu/~math/vidarchive.html]UCCS”>http://www.uccs.edu/~math/vidarchive.html)</p>