REU: Research Challenges of Computational Methods in Discrete Mathematics

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Academic Level:
For most summer research programs, this is your upcoming status as of the fall. Always check with the individual program's website for details.

Undergraduates - First Year
Undergraduates - Sophomore
Undergraduates - Junior

Note: this opportunity encourages applications from community college students.

Description:
The Mathematics Program of Moravian University invites applications for a NSF Research Experiences for Undergraduates (REU) program that will concentrate on research projects associated with challenges of computational methods in discrete mathematics. Modern computer technology's new procedures make it possible to explore mathematical concepts with computational speed and precision not available to previous generations of mathematicians. Computer simulation in particular plays a central role in the application of computer systems when conducting research in discrete mathematics, harnessing computer power to promote the use of new paradigms in mathematical discovery. Examples include converting XOR expressions to conjunctive normal form (CNF) and Nim-type games on connected graphs, both of which benefit from the insight produced by computer-generated examples. By using technology as a partner in research, computational methods provide the mathematically curious an invaluable resource with which to explore. The new technology makes use of such areas as numerical methods, precision arithmetic, and integer relation algorithms to calculate approximate values for integrals and infinite series, to search for relationships between mathematical values and constants, to construct counterexamples, and to develop new conjectures.

Students will work in integrated teams with mentors and immerse themselves in open-ended mathematics research projects. Participating students will be provided a stipend of $5,400, on-campus housing with support for a summer meal plan, and travel expenses to and from the Moravian University campus. Students will be assigned to research teams based on their interests and each team will be mentored by one or two faculty advisors. In addition to working on their collaborative projects, students will attend seminars, give presentations, and enjoy fun social activities. They will be encouraged to attend and give presentations at their home institutions as well as local and national professional meetings.


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This program is funded by:
National Science Foundation (NSF)


Page last updated 3/6/2024
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