Current problem set for our Hanf competition is available at http://www.math.hawaii.edu/~pavel/hanf/hanf.html.
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Putnam exam
Past winners of this national competition include physicist and Nobel Prize Laureates Richard Feynman and Kenneth Wilson. Amongst mathematicians, the list of Putnam Fellows includes a huge number of famous mathematicians including Fields Medalist John Milnor and former UH Manoa Mathematics Professor William Hanf.
Each year, the examination will be constructed to test originality as well as technical competence. It is expected that the contestant will be familiar with the formal theories embodied in undergraduate mathematics.
It is assumed that such training, designed for mathematics and physical science majors, will include somewhat more sophisticated mathematical concepts than is the case in minimal courses. Thus the differential equations course is presumed to include some references to qualitative existence theorems and subtleties beyond the routine solution devices.
Questions will be included that cut across the bounds of various disciplines, and self-contained questions that do not fit into any of the usual categories may be included. It will be assumed that the contestant has acquired a familiarity with the body of mathematical lore commonly discussed in mathematics clubs or in courses with such titles as Survey of the Foundations of Mathematics.
It is also expected that the self-contained questions involving elementary concepts from group theory, set theory, graph theory, lattice theory, number theory, and cardinal arithmetic will not be entirely foreign to the contestant's experience.
For more information concerning the Putnam competition; which is given each year in December, contact Prof Pavel Guerzhoy.
Resources
- Putnam Competition website
- Wikipedia Putnam Competition article (includes a list of past winners)
- Olympiad Problems
- Polya's How To Solve It