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Department of Mathematical Sciences

Department of Mathematical Sciences. 40 Faculty 39 Graduate Students Approximately 80 Undergraduate Students. Applied Mathematics Statistics Combinatorics Mathematics Education. Research Areas. Applied Mathematics. Prof. Franz Tanner Computational Engine Research

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Department of Mathematical Sciences

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  1. Department of Mathematical Sciences

  2. 40 Faculty • 39 Graduate Students • Approximately 80 Undergraduate Students

  3. Applied Mathematics Statistics Combinatorics Mathematics Education Research Areas

  4. Applied Mathematics

  5. Prof. Franz Tanner • Computational Engine Research • Modeling of flow, spray and combustion processes

  6. Spray Pattern Modeling

  7. Fuel mass fraction of an evaporating spray • Collaboration with Argonne National Laboratory

  8. Simulation of three- nozzle spray pattern • Numerical approach • Visualization of dispersion

  9. Prof. Kathleen Feigl • Simulation of flow of complex fluids • Collaborations with ETH-Zurich and University of Tennessee

  10. Calculated velocity field of multi-toothed rotor-stator dispersing device • Complex flow field produced within gaps

  11. Models incorporate relevant physics of fluid systems and processes • Drop shapes calculated along the trajectory

  12. Model results of droplet formation compared with experimental data

  13. Statistics

  14. Prof. John Beckwith • Statistical Applications in Transportation Research

  15. Prof. Beckwith and Civil Engineering PhD student Baron Colbert • Quantification of friction properties of worn paving materials • Develop models to reduce testing requirements

  16. Prof. Tom Drummer • Population studies for moose, wolves and sharp-tail grouse in U.P. • Aerial Observation

  17. Moose survey conducted at 500 ft altitude over 1600 sq. mile area • Model developed to yield probability of sighting animals

  18. Statistical Genetics Group • 5 Faculty • 2 Post – docs • 9 PhD Students • Support from NIH and NSF

  19. Statistical Genetics • Prof. Quiying Sha • PhD Student Elena Kasyanova

  20. Development of new computational and statistical tools • Primary focus is analysis and interpretation of genomic data

  21. Concentration on complex human diseases • Key activities • Functional gene mapping • Pedigree analysis • Genetic diversity

  22. Teaching and Instructional Resources

  23. Prof. Allan Struthers • Graduate Student Yejun Gong • Excellent faculty accessibility

  24. Dr. Ghan Bhatt teaches an introductory calculus course • Typical calculus class size is ~ 50 students

  25. Beth Reed uses document camera in statistics lecture • Math classrooms renovated in 2006 • Rooms equipped with latest audio-visual tools

  26. Teaching Assistant Rachel Robertson works with a student in the Mathlab • Calculus courses include laboratory component to reinforce lectures

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