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Undergraduate Research in Mathematics
Undergraduate Research Program , or
URP, provides stimulating mathematical experiences for
our best undergraduate scholars. Program participants
work on mathematics problems under the direction of
senior faculty. Participants have presented the results
of their work to student and faculty groups throughout
the Southeast, and several have won awards at the annual
meetings of the Louisiana/Mississippi Section of the
Mathematical Association of America. In addition, some
of these students have published their work in the Journal
of Undergraduate Mathematics and the Journal
of Mathematics and Computer Education. It is not
unusual for a URP participant to expand one of his or
her projects into an undergraduate thesis.
Links to Faculty sponsoring URP projects:
To find out more about current URP research, follow the links and contact the listed faculty
directly:
Jiu Ding -
Topics: Numerical Analysis, optimization, ergodic theory and dynamical systems.
Link: to UR page,
Contact: Jiu.Ding@usm.edu.
Joseph Kolibal -
Topics: Applied and computational mathematics, including partial differential equations, linear algebra, approximation and interpolation.
Link: to UR page,
Contact: Joseph.Kolibal@usm.edu.
Sungwook Lee -
Topics: Algebraic Geometry, Differential Geometry, Symplectic Geometry, Noncommutative Geometry.
Link: to UR page,
Contact: Sunglee@usm.edu.
John Perry -
Topics: Algebra, applied and computational algebra, commutative algebra.
Link: to UR page,
Contact: John.Perry@usm.edu.
In addition to these opportunities with faculty, there are numerous
opportunities for undergraduate research listed on the
UG Research Bulletin Board page.
Some past URP projects include:
- "Error Correcting Codes," Sarah Graham, Senior 2003.
- " x'' + P(x) = 0, where P(x) is a quartic polynomial," Amanda Adams, Senior 2002.
- "Assessing Random Iteration," Rochelle Jenkins, Senior Fall 2001.
- "Mathematics of Biology," Chrissy Dear, Senior 2001.
- "Coupled Spring Models," Sarah Graham, Junior 2001.
- "Periodic Solutions to the Forced Duffing Equation," Aaron Lott, Senior 2001.
- "The Gibbs' Phenomenon from a Signal Processing Point of View, K.G. Schultz, Senior 2001.
- "A Visual Bridge to Geometry," Jennifer Heidemann, Senior 2000.
- "Number Sense and Mental Math - A Meaningful Combination," Melissa Avery, Junior 2000.
- "Using Visual Dsolve to Investigate Nonlinear Differential Equations," P. Aaron Lott, Senior 2000.
- "Convolution is a Folding," Jennifer Alsworth, Senior 1999.
- "The Gibbs Phenomenon and Solutions to the Forced Harmonic Oscillator," P. Aaron Lott, Junior 1999.
- "Do you LOGO?" Robin Lofton, Senior 1999.
- "Extending Bernstein Mollifyers in Two Dimensions in Data Analysis," Shywanda Ruffin, Senior 1999.
- "The Period of a Beat," Craig Collier, Senior 1998.
- "Coupled Springs," John Sample, Junior 1998.
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