*The Department of Mathematics & Statistics would like to welcome:*

Dr. Jeremy Russell, on Friday, November 21 at 12:30 pm in SCP 229

**Title:** From the Quadratic Equation to Category Theory

** Abstract:** Category theory plays an important role in studying connections between different fields of mathematics such as algebraic geometry and topology. The main objects of interest are functors. In this talk I will explain the motivation behind studying category theory and how functorial techniques can be used to study different objects in mathematics. I will include motivating examples ranging from solving quadratic equations to understanding the fundamental group.

Date: 11/19/14

Time: 4-5

Location: SCP 230

Presenter: Prof Adam Shrager

Event:

What IS and What AIN’T Stats?

The CCSS, The PARCC, and Teaching Statistics in the Algebra Classroom.

Whereas most people confuse probability for statistics, the new Common Core State Standards expects 12 year olds (and their teachers) to be able to “use random sampling to draw inferences about a population.” In short, seventh graders are supposed to be exposed to concepts in inferential statistics.

This reality, and a dozen more examples of statistical knowledge that must be included throughout the 6th, 7th, and 8th grade curricula, as well as the Algebra I and Algebra II curriculum, are the focus of this dynamic (and fun) 45 minute presentation.

Brief Bio:

Adam Shrager is an adjunct faculty member in the department of Mathematics and Statistics at The College of New Jersey, and also teaches courses in Statistics and Applied Finance at Princeton University’s Woodrow Wilson School of Public and International Affairs. He is a full time teacher of AP Statistics and Mathematics at Hopewell Valley Central High School in Pennington, NJ. He is a former Wall Street executive who has also written a best-selling book about Star Trek: The Next Generation.

The CCSS, The PARCC, and Teaching Statistics in the Algebra Classroom.

Whereas most people confuse probability for statistics, the new Common Core State Standards expects 12 year olds (and their teachers) to be able to “use random sampling to draw inferences about a population.” In short, seventh graders are supposed to be exposed to concepts in inferential statistics.

This reality, and a dozen more examples of statistical knowledge that must be included throughout the 6th, 7th, and 8th grade curricula, as well as the Algebra I and Algebra II curriculum, are the focus of this dynamic (and fun) 45 minute presentation.

Brief Bio:

Adam Shrager is an adjunct faculty member in the department of Mathematics and Statistics at The College of New Jersey, and also teaches courses in Statistics and Applied Finance at Princeton University’s Woodrow Wilson School of Public and International Affairs. He is a full time teacher of AP Statistics and Mathematics at Hopewell Valley Central High School in Pennington, NJ. He is a former Wall Street executive who has also written a best-selling book about Star Trek: The Next Generation.

Dr. Matthew Fury, Penn State Abingdon, on Tuesday, November 11 at 12:30 pm in SCP 229

**Title:** Ill-posed problems and the irreversibility of heat flow

** Abstract:** Imagine letting a drop of colored dye fall into a tube of water. Fick’s law of diffusion states that the dye will move from regions of high concentration to regions of low concentration at a certain rate. Similarly, the flow of heat in a given region is governed by the same law. These physical laws are interpreted mathematically by the diffusion equation which can be solved if an initial concentration is known. But what if the process is reversed? If we know the concentration at some fixed time t=T, can we determine how the concentration changed during earlier times leading up to T? Our discussion will explain why this problem is essentially unsolvable, and lead to an investigation of a more general topic of mathematical research known as ill-posed problems.

Congratulations to Mathematics major Vincent Longo for winning an Undergraduate Student Poster Presentation Award at the 2014 SACNAS National Conference. The conference was held Wednesday, October 15 through Saturday, October 18, 2014, at the Los Angeles Convention Center in Los Angeles, CA. Vince’s poster, “The Abelian Sandpile group of a family of series-parallel graphs,” was based on the research he did during his REU this past summer at The University of Hawaii at Hilo.

SACNAS (Society for Advancement of Hispanics/Chicanos and Native Americans in Science) “is a society of scientists dedicated to fostering the success of Hispanic/Chicano and Native American scientists—from college students to professionals—to attain advanced degrees, careers, and positions of leadership in science.”

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On Wednesday, October 22, the School of Science held its 2014 Celebration of Women in Science. This event celebrated the accomplishments of women students in TCNJ’s School of Science and served to encourage them to continue their work. The Department of Mathematics and Statistics was very well represented at this event. Associate Professor of Mathematics **Jana Gevertz** was one of the TCNJ Alumni and Faculty who gave an oral presentation. In addition, Math & Stat alumni **Jennifer Urban ’12** (now a Ph.D. student at the University of Rochester) and **Alexa Beshara ’08** (now the Associate Dean of Research and Planning at Hudson County Community College) participated in a panel discussion on “The Personal Side of a Career in Science.” After the lunch break, School of Science students had a chance to present posters on their research. The department had three exceptional presentations:

**Jessica Perez** – “Continuous and Discrete Modeling of Tumor Growth and Invasion” – Faculty Mentor: Dr. Jana Gevertz, TCNJ

Department of Mathematics & Statistics

**Alana Huszar** – “4-equitable Tree Labelling” – Faculty Mentors: Dr. Chamont Wang, TCNJ Department of Mathematics & Statistics and Zsuzsanna Szaniszlo, Valparaiso University

**Katarina Rose** – “A Function of the Moduli Space of Triangles” – Dr. Andrew Clifford, TCNJ Department of Mathematics & Statistics

Thanks to everyone who participated, and special thanks and congratulations to our exceptional students. We are very proud of you!

]]>On Wednesday, October 29, 2014, TCNJ CSTM held its first-ever Math Ed Faculty Panel. TCNJ Mathematics faculty members Dr. Robert Cunningham, Dr. Cathy Liebars, Dr. Jeremy Russell, Dr. Farshid Safi, and Dr. Suriza van der Sandt spoke about their experiences and answered questions posed by TCNJ Mathematics Education students.

TCNJ CSTM (Council of Student Teachers of Mathematics) is a newly formed organization intended for TCNJ undergraduate students interested in teaching mathematics at the K-12 grade level. It is recognized as a student affiliate of the National Council of Teachers of Mathematics (NCTM) and sponsored by the Association of Mathematics Teachers of New Jersey (AMTNJ).

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