SUMMER PROGRAMS IN MATHEMATICS
www.math.ohio-state.edu/ross/index.html Top-notch program at Ohio State University, 8 weeks, very intense.
http://math.bu.edu/INDIVIDUAL/promys/ Excellent summer program at Boston University. Patterned after the Ross Ohio State Program but slightly less intense. Six weeks. Good fun.
www.hampshire.edu/offices/specprog/hcssim.shtml Superb program at Hampshire College. 6 weeks, fun too.
http://rsi.cee.org/rsi/index.shtml Highly selective summer research program held at MIT. 6 weeks. For the past several years the top Westinghouse/Intel Science Talent Search Winners have come from among these 50 participants. Application deadline FEBRUARY 1 Application forms can be found online at website.
www.mathcamp.org/ Five-week "roaming" camp that is held in a different location each summer but always along the USA Canada border. Less focused than the others mentioned but somehow attracts BIG name mathematicians who seem to come for a few days during which intensive "master-class" style programming takes place.
www.math.lsa.umich.edu/~mathsch Math Scholars Summer Program at the University of Michigan. Two two-week sessions for students in high school (I'm not sure whether that means completion of eighth or ninth grade prior to course).
www.nsa.gov/programs/mepp/cmst.html Center of Mathematics, Science and Technology (CMST) is run at the University of Maryland Eastern Shore by NSA. There are two two-week sessions (one for high schoolers, one for middle schoolers).
http://cartan.stanford.edu/sumac/sumac/main-sumac.htm Stanford University Math Camp (SUMaC) a four-week program for high school students. Intensive study, some research, guest speakers, etc.
www.mtholyoke.edu/proj/summermath/index.htm An all women's summer program at Mt. Holyoke.
Additional programs endorsed by the American Mathematical Society can be found at www.ams.org/ Click your way through education to the link for the page of "challenging summer math camps"
For more summer programs in the sciences, including programs in disciplines other than mathematics
www.sciserv.org/stp/index-s.htm An index of summer programs organized by state and institution. Unfortunately many of the best programs (some listed above) are not included in this site despite my best efforts to provide Science Service with the information needed to include them.
www.nsa.gov/programs/mepp/usamts.html Year-round problem-solving competition. Problem Rounds appear on line (print with Adobe Acrobat). Very challenging problems, no limit on time or resources (inanimate) that students may use. Proof-based solutions required. Started by George Berzsenyi, now run by COMAP and NSA. Students submit solutions by mail directly to COMAP.
www.math.umd.edu/mathcomp/ The University of Maryland provides a free math competition for high school students. Part I is multiple choice (no calculators) and Part II (by invitation only based on score on Part I) is proof/solution based. Scholarship offers, cash prizes and certificates for top scorers.
www.unl.edu/amc/ Home page for the national math competition series that leads to the International Math Olympiad. (AMC8, AMC10, AMC12, AIME, USAMO) Schools that wish to give any of these competitions should register. There is a fee for registration and a cost for the tests themselves at the early levels (AMC 8,10,12)
www.mandelbrot.org/ School-based national competition. Four rounds per year--individual and team. Registration fee about $60. Also a source of problems for individual solution. Names of first few solvers who submit correct solutions are posted. New (original) problems submitted by students are posted for future solution.
www.rose-hulman.edu/~rickert/ARML/ National competition (15-member teams) from all over the US (occasional international teams as well) held in three locations on the first Saturday in June (Penn State, University of Iowa, UNLV)
www.research.ibm.com/ponder/ A monthly puzzle is posted and solvers' names are listed in the order in which correct solutions are received.
www.best.com/~perry/wwizard.shtml A source of moderately challenging problems. Unfortunately this web site is not being updated and the problems have been around for more than two years. The gist of the competition was clever though. At posting each problem had a point value of 200, I think. With each correct solution, the correct solver earned the current point value and the point value for the next solver decreased by 1 point. In addition, solvers who submitted wrong answers received scores of -5 for each such submission. A Hall of Fame listing of solvers and scores has been maintained.
www.math.smsu.edu/~les/POTW.html Problem of the Week from Southwest Missouri State University. This website has a variety of problems including a set for high school solvers.
Mathematics and Informatics Quarterly - available through Susan Wildstrom, 10300 Parkwood Drive, Kensington, MD 20895-4040 cost for students - $18.00, for individuals - $25.00, for institutions - $40.00 for four issues per year (published on an irregular schedule in Singapore)
Crux Mathematicorum - the journal of the Canadian Mathematical Society - excellent source of problems and competitions, plus accessible interesting short articles. Cost $27.00 for CMS members, $54.00 for non-members.
Mathematics Magazine, Math Horizons, College Math Journal, and The American Mathematics Monthly are all periodicals published by the Mathematical Association of America. Subscriptions are (I believe) available only with membership. www.maa.org