<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>