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<p>I do not attend CAltech, but I was very interested in it once, and have perused the course descriptions + style a lot. It basically seems like solid advanced math, and the experience of any college major should largely coincide with the experience of a Caltech math major. </p>
<p>Don’t force applied math just because you want to major in CS BTW, unless you like it. Applied math is not just applying math – it tends to be mathematics that is built to focus around applications. Pure mathematics answers some questions that could be rendered useful to someone, somewhere, but the difference is that it doesn’t aim to answer these questions with any specific aim except to address natural questions in the field of math ITSELF, independent of others.</p>