The Mathematics and Computer Science Department of Moravian University: The Research Experiences for Undergraduates (REU) program concentrates on research projects associated with 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. One useful tool is the OEIS, which includes over 300,000 sequences. The list was started by Neil J. A. Sloane in 1964 when he began collecting integer sequences on file cards. These were eventually published as A Handbook of Integer Sequences in 1973 by Academic Press. The popularity of the Handbook and subsequent publications led to the website, which has continued to add to its sequence database. 

Application Deadline: Review of applications begins March 1 and will continue until all slots are filled. 

Note: At the time of this posting, January 2023, we are planning for an in-person program.  However, things may change.  A final decision will be made by the time acceptance letters are sent out. Please see the webpage for more details and a decision. https://www.moravian.edu/mathematics/reu