The legendary California Institute of Technology offers a few hundred hardcore and overwhelmingly male nerds the opportunity to tackle a generally crippling curriculum. The mandatory core courses include a load of math and the hard sciences (as well as humanities and physical education requirements). Caltech does not grant credit for AP, IB, or similar tests. However, every student takes a math and physics placement exam before enrolling. If you do well enough on that test, you can get automatic credit for some lower-level Caltech courses.
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