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[quote=Anonymous]1. Massachusetts Institute of Technology (MIT): MIT's undergraduate math program is tremendously respected and is considered quite intensive. Known for their Problem Sets (p-sets), students often find themselves facing complex and time-consuming tasks that they need to solve.

2. Princeton University: The undergraduate mathematics program at Princeton is one of the most rigorous in the country. The course-load here is heavy and the curriculum progresses at a very fast pace with a strong focus on proofs from first principles.

3. University of Chicago (UChicago): With a curriculum that stresses the appreciation of proofs and the purest form of mathematics, UChicago is known for its intense coursework in mathematics. The school offers honors sequences in analysis and algebra that are particularly challenging.

4. Harvard University: Harvard has a notoriously difficult curriculum in theoretical mathematics. Their Math 55 course, for instance, is often referred to as one of the most challenging undergraduate math classes in the country.

5. California Institute of Technology (Caltech): Caltech is small but mighty. The mathematics department offers rigorous course sequences in analysis and algebra that use textbooks written by faculty members.[/quote]

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