Department of Mathematical Sciences

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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 - PowerPoint PPT Presentation

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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

• Modeling of flow, spray and combustion processes

Spray Pattern Modeling

• Fuel mass fraction of an evaporating spray

• Collaboration with Argonne National Laboratory

• Simulation of three- nozzle spray pattern

• Numerical approach

• Visualization of dispersion

• Prof. Kathleen Feigl

• Simulation of flow of complex fluids

• Collaborations with ETH-Zurich and University of Tennessee

• Calculated velocity field of multi-toothed rotor-stator dispersing device

• Complex flow field produced within gaps

• Models incorporate relevant physics of fluid systems and processes

• Drop shapes calculated along the trajectory

• Model results of droplet formation compared with experimental data

Statistics

• Prof. John Beckwith

• Statistical Applications in Transportation Research

• Prof. Beckwith and Civil Engineering PhD student Baron Colbert

• Quantification of friction properties of worn paving materials

• Develop models to reduce testing requirements

• Prof. Tom Drummer

• Population studies for moose, wolves and sharp-tail grouse in U.P.

• Aerial Observation

• Moose survey conducted at 500 ft altitude over 1600 sq. mile area

• Model developed to yield probability of sighting animals

• 5 Faculty

• 2 Post – docs

• 9 PhD Students

• Support from NIH and NSF

Statistical Genetics Group

• Statistical Genetics

• Prof. Quiying Sha

• PhD Student Elena Kasyanova

• Development of new computational and statistical tools

• Primary focus is analysis and interpretation of genomic data

• Concentration on complex human diseases

• Key activities– Functional gene

mapping– Pedigree analysis– Genetic diversity

Teaching and Instructional Resources

• Prof. Allan Struthers

• Graduate Student Yejun Gong

• Excellent faculty accessibility

• Dr. Ghan Bhatt teaches an introductory calculus course

• Typical calculus class size is ~ 50 students

• Beth Reed uses document camera in statistics lecture

• Math classrooms renovated in 2006

• Rooms equipped with latest audio-visual tools

• Teaching Assistant Rachel Robertson works with a student in the Mathlab

• Calculus courses include laboratory component to reinforce lectures

• Tutoring session in the Math Learning Center

• Walk-in assistance or appointments with regular tutors

• Math Learning Center open 6 days per week

• Students teach students