Senior Project in Mathematics: Home

This is the mathematics capstone course, which is designed to have students experiment with their research ideas. In this course students are expected to come up with a research project in any area of mathematics they are interested with the guidance and under the supervision of a full time faculty in mathematics.

 You will need to:

1. Formulate a research hypothesis.

2. Search the literature, both written and electronic, to find information on a given topic.

3. Based upon the literature, and working through examples, come up with a proof or counterexample to the hypothesis.

4. Write a paper appropriate for a presentation/publication.

5. Present the results on front of peers and mathematics faculty.

Sample Journals in EBSCO

• Acta Mathematica Sinica
• Advances in Geometry
• Annals of Pure & Applied Logic
• Annals of Combinatorics
• Applied Mathematics Letters
• Archive for Mathematical Logic
• Discrete Mathematics
• Discussiones Mathematicae: Graph Theory
• Discrete Mathematics & Theoretical Computer Science
• Electronic Journal of Qualitative Theory of Differential Equations
• International Journal of Foundations of Computer Science
• International Journal of Game Theory
• Journal of Applied Probability
• Journal of Chemical Physics
• Journal of Mathematical Analysis & Applications
• Journal of Mathematical Behavior
• Linear Algebra & its Applications
• Mathematical Methods of Operations Research
• Philosophia Mathematica
• Pi in the Sky
• Proyecciones - Journal of Mathematics
• Stochastic Processes & Their Applications
• Theoretical Computer Science
• Topics in Cognitive Science

Sample Journals in ProQuest

• American Mathematical Monthly
• Argumentation
• British Journal for the Philosophy of Science
• College Mathematics Journal
• Computing: Archives for Informatics and Numerical Computation
• Econometrica
• Information and Software Technology
• Journal of Mathematical Analysis
  
• Journal of Philosophy
• Kybernetes
• Positivity
• Synthese
• Theory of Computing Systems

Mathematics might be the queen of the sciences,but as far as international prizes go, its omission from the list of Nobel disciplines has made it a poor relation. All that, however, is about to change. The recently established Clay Mathematics Institute (CMI) in Cambridge, Massachusetts, was due to announce this week that it is offering $1 million for the proof of each of seven classical mathematical problems. Among them is the Riemann hypothesis.

The $1 million problems are:

• The P vs NP problem
• The Riemann hypothesis
• The Poincaré conjecture
• The Hodge conjecture
• The Birch and Swinnerton-Dyer conjecture
• Navier–Stokes equations
• Yang–Mills theory

http://www.claymath.org

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Mackenzie, Dana. Science News185.1 (Jan 11, 2014): 12.

A famous conjecture in number theory has stood unproven for more than 150 years, but for the second time this year mathematicians have gotten dramatically closer to proving it. With a strategy others had abandoned, a young mathematician has narrowed the gap between primes, in hopes of ultimately proving the twin prime conjecture. Number theorists have been revved up since May, when Yitang "Tom" Zhang, a University of New Hampshire mathematician, announced a partial solution to the twin prime problem. Researchers have since been refining his methods, getting closer to solving the problem. In October, James Maynard, a post-doctoral researcher at the University of Montreal, announced at a workshop in Germany that he had improved Zhang's estimate for prime pairs. In doing so, he had also resuscitated a previously discarded technique to prove that primes also occur in clusters.