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Fifth AnnualGarden State UndergraduateMathematics Conference |
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Noted mathematician and magician, Arthur Benjamin,
Professor of Mathematics at Harvey Mudd College, will be our keynote speaker. In 2000, he received the MAA's Haimo Award for Distinguished Teaching. His research interests include combinatorics and number theory, with a Professor Benjamin is also a magician who performs his mixture of math and magic to audiences all over the world, including the Magic Castle in Hollywood. He has demonstrated and explained his calculating talents in his book "Secrets of Mental Math" and on numerous television and Abstract: Many trigonometric identities, including the Pythagorean theorem, have combinatorial proofs. Furthermore, some combinatorial problems have trigonometric solutions. All of these problems can be reduced to alternating sums, and are attacked by a technique we call D.I.E. (Description, Involution, Exception). This technique offers new insights to identities involving binomial coefficients, Fibonacci numbers, derangements, zig-zag permutations, and Chebyshev |
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A centerpiece of the conference is the hour-long student poster session, where student can explain and share their mathematical work with students and faculty from throughout state. Students are encouraged to present posters related to any mathematical talk they have learned at all levels. We seek posters from all areas of mathematics and from every level of the mathematics curriculum (first-year, sophomore, junior, and senior year). Some ideas for poster presentations are:
There will be prizes awarded for the best posters, with prizes at every level of the mathematics curriculum.
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We will once again begin the conference with a two and a half hour mathematics competition. The competition will have both an individual and group component. Teams of three individuals are invited to participate in this three-hour morning event. While we expect teams to primarily consist of students from the same school, we encourage teams of students from different schools to compete. The nature of the problems is modeled upon the Indiana Friendly Math Competition and is much more accessible than the Putnam Exam. The questions on the test will involve material from HS mathematics, calculus, linear algebra, differential equations, and the introductory courses that a math major would take. The emphasis of the competition will be on having fun with interesting problems that stress problem solving. Competition rules and past year's problems and solutions are available here. Awards will be presented to winning teams from both four-year and two-year institutions and the highest scoring student in the individual section. There is a $25 registration fee per team for the competition that can be paid the day of the competition. |
| 8:30-9:00 | Registration and Breakfast | |
| 9:15-12 | New Jersey Undergraduate Mathematics Competition | |
| 12-1 | Complimentary Lunch | |
| 1-2 | Student Poster Session | |
| 2:15-3:15 | Student Talks | |
| 3:30-4:20 | Combinatorial Trigonometry, Arthur Benjamin, Harvey Mudd College | |
| 4:20-5 | Competition Results and Award Presentations |
| The conference will be held on the campus of William Paterson University in Wayne, New Jersey. (Click here for directions, Google maps and a campus map). Registration will be held in Ballroom A in University Commons (Machuga Student Center on map). There is free parking in Lots 4 and 5. |
The GSUMC is a function of the New Jersey section of the Mathematical Association of America. This year's conference was arranged by the following faculty members.
GSUMC Organizing Committee
Local Arrangements CommitteeEliana Antoniou , William Paterson University, chair
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NJ Undergraduate Math Competition CommitteeCo-Directors
Organizing Committee
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The Garden State Undergraduate Mathematics Conference is made possible by contributions from the New Jersey section of the MAA, and by NSF grant DMS-0536991 through the MAA Regional Undergraduate Mathematics Conferences program, www.maa.org/RUMC/.