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Math 1a is “baby analysis”, required of everyone, and more rigorous than any other required intro math course anywhere. Math 108, taken by sophomores and advanced freshman is the real deal, with classical topology of metric spaces, Weierstrass, Heine-Borel Theorems, Hilbert spaces, Fourier theory (in the general setting), etc. Also multivariate analysis and complex analysis (second two terms). See <a href=“http://math.caltech.edu/general/bsmath.html[/url] ”>http://math.caltech.edu/general/bsmath.html</a> ; for an “easy” version of the schedule. Most math majors take many more courses than this, and somewhat earlier: see <a href=“http://pr.caltech.edu/catalog/05_06/...isting/ma.html[/url] ”>http://pr.caltech.edu/catalog/05_06/...isting/ma.html</a> ; for a detailed listing of courses.
The hilarity of this is awesome. The bare minimum Cal Tech graduate has more math training and proficiency than probably 99%+ of undergraduate engineers, physics majors, chemistry majors, etc. It’s just so awesome.</p>