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Math Department

Department of Mathematics

Welcome

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.

Contact Information

Faculty Office Building (FOB) E 2
SUNY New Paltz
1 Hawk Drive
New Paltz, NY 12561-2443

Phone: (845) 257-3532
Fax: (845) 257-3571

Math News


Math & Cookies

Location: FOB S14
Time: 11 a.m. — Noon
Date: Wednesday, Feb. 11, 2015

Speaker: Francis Valiquette
Title: Summability of Divergent Series

Abstract: In calculus, we learn that some infinite sums diverges to infinity since there are sums of positive numbers where the summands become larger and larger. Surprisingly, it is possible to assign a finite number to these divergent series.


One of these interesting ''equalities" can be experimentally verified and played a fundamental role in the prediction of the Casimir effect in Quantum Electrodynamic.

In this talk, I will explain how to assign a finite number to some particular divergent series and briefly describe the Casimir effect. No knowledge of physics will be assumed.


Math & Cookies

Location: FOB S14
Time: 11 a.m. — Noon
Date: Wednesday Oct. 29, 2014

Speaker: Edward Hanson
Title: Vectors, Complex Numbers, and Hypercomplex Numbers

Abstract: In this talk, we will take a brief glimpse at the historical connections between vectors and complex numbers. One of the focal points will be Hamilton's invention of the quaternions in 1843. Little to no background knowledge will be assumed.


 

MathWorks Day Seminar

Tuesday, Sept. 30

CSB Auditorium

4-7:30 p.m.

In this technical session, we present and discuss ways to increase your productivity and effectiveness using MATLAB. We demonstrate and share best practices for exploring, analyzing and visualizing your data, and how to quickly develop algorithms and share results with your colleagues.

Please register here


 

Math and Cookies

Location: FOB S14
Time: 11 a.m. - Noon

Date: Wednesday Sept. 17, 2014

Speaker: Anca Radulescu
Title: Iterations of interval maps and Sarkovskii's Theorem

Abstract:
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.