Major in Mathematics!
A mathematics degree from New Paltz accommodates both applied and theoretical interests, and provides exceptional preparation for future careers in law, medicine, education, insurance, and business.
Our small class sizes enable students to work closely with faculty and receive the personal attention that only a liberal arts education can offer. Recent research projects have included angular determinations in pentagons; software development for algebraic evolution; and modeling the success of protest groups, to name a few.
With major tracks in mathematics, adolescence education in mathematics, and elementary education in mathematics, our graduates go on to attend Ph.D. programs, work as financial analysts on Wall Street, secure positions at high-level companies like Microsoft, and teach mathematics in both public schools and the country's most prestigious universities.
Faculty Office Building (FOB) E 2
SUNY New Paltz
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New Paltz, NY 12561-2443
Phone: (845) 257-3532
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Math and Cookies
Location: FOB S14
Time: 11:00 - 12:00
Date: Wednesday September 17, 2014
Speaker: Anca Radulescu
Title: Iterations of interval maps and Sarkovskii's Theorem
We will present a remarkable theorem from discrete dynamical systems due to Sarkovskii, which is amazing for its lack of hypotheses and its strong conclusion.
In the first part of the talk, we will cover "prerequisites" on iterations of real maps. We will define orbits, fixed and periodic points, and we will use cobweb diagrams to visualize and understand periodic orbits.
In the second part, we will discuss Sarkovskii's Theorem and its converse. We will prove a representative particular case, which states that a continuous map of the interval which has a point of period three, has automatically points of all other periods. The proof will use only elementary observations from calculus and basic set theory.