REU in Applied Mathematics
Join our program and work with faculty and grad students on cutting-edge research problems in Applied Mathematics
Who Should Apply
Related majors and areas
EligibilityParticipation in the Nebraska Summer Research Program is limited to students who meet the following criteria:
- U.S. Citizen or Permanent Resident
- Current undergraduate with at least one semester of coursework remaining before obtaining a bachelor's degree
How to Apply
Steps and Required ItemsTo apply, follow these application steps to submit the following materials.
- Fri., Nov. 15, 2013 — Application opens
- Sat., Feb. 1, 2014 — Priority deadline
- Mon., Feb. 17, 2014 — Application deadline
- Fri., Mar. 15, 2014 — Decisions complete
Events and Benefits
- Campus and department orientation
- Department seminars and presentations
- Professional development workshops (e.g., applying to graduate school, taking the GRE)
- Welcome picnic
- Day trip to Omaha's Henry Doorly Zoo
- Canoe and camping trip
- Research symposium
- Competitive stipend
- Double-occupancy room and meal plan
- Travel expenses to and from Lincoln
- Campus parking and/or bus pass
- Full access to the Campus Recreation Center and campus library system
- Wireless internet access
Research and Mentors
The Nebraska REU in Applied Mathematics is administered by the University of Nebraska-Lincoln Department of Mathematics and is funded by the National Science Foundation. The REU site was established in 2002.
Our program strives to give students as full of a research experience as possible, including background reading and exercises in their subject; the skills needed on how to define a good problem, how to solve the problem and (in many projects) give rigorous proofs; and the tools for writing mathematics and giving a talk or presenting a poster. We also offer research, educational, and social activities that cultivate an environment which emphasizes interaction and collaboration.
Summer scholars meet with their mentors almost every weekday. At the conclusion of the 8-week program, students present their research. Often the summer projects result in presentations at a national conferences and research publications. We believe that the participants leave the Nebraska REU Site with an appreciation for the methods of mathematical discovery and have a meaningful and rigorous educational experience.
The University of Nebraska-Lincoln Department of Mathematics has a national reputation for excellence in education and mentorship. In recognition of their research mentoring for undergraduates, the department received the 2009 AMS Award for Exemplary Program or Achievement in a Mathematics Department.
2014 Mentors and Projects
Riverine ecosystems are heterogeneous, as flow velocity and nutrient levels vary considerably with depth and nearness to the river bank. These environmental differences lead to gradients in the population sizes of species in the river, particularly those that do not have significant capability of moving against the current. In this project, we focus on the variations in flow velocity and nutrient levels at different water depths, with the aim of studying the influence of the variations on steady state population distributions. Models will consist of coupled systems of ordinary differential equations in different zones and/or partial differential equations that treat depth as a continuous variable. The models will be scaled and studied with a combination of analytical, asymptotic, and numerical methods. The first week of the project will consist of a tutorial on basic mathematical modeling in population dynamics and stability analysis of differential equation systems.
Gottfried Leibniz and Guilliaume L'Hopital are believed to have first sparked curiosity into the idea of fractional calculus during a 1695 overseas correspondence on the possible meaning for a one-half derivative. By the late 19th century, combined efforts by several mathematicians — most notably Liouville, Grunwald, Letnikov and Riemann — led to a fairly solid understanding of fractional calculus in the continuous setting. Since then, the number of known applications for fractional calculus has grown greatly. There are applications of fractional derivatives in the fields of viscoelasticity, capacitor theory, electrical circuits, electroanalytical chemistry, neurology, diffusion, control theory and statistics.