Department of mathematical sciences
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Department of Mathematical Sciences. 40 Faculty 41 Graduate Students Approximately 80 Undergraduate Students. Applied Mathematics Statistics Combinatorics and Pure Math Mathematics Education. Research Areas. Applied Mathematics Computational Engine Research – F. Tanner

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Department of mathematical sciences

Department of Mathematical Sciences


Department of mathematical sciences

  • 40 Faculty

  • 41 Graduate Students

  • Approximately 80 Undergraduate Students


Research areas

Applied Mathematics

Statistics

Combinatorics and Pure Math

Mathematics Education

Research Areas


Department of mathematical sciences

Applied Mathematics

Computational Engine Research – F. Tanner

Simulation of Food Sprays – F. Tanner

Multiphase Fluid Systems – K. Feigl

Cardiac Dynamics – W. Ying

Computational Biology – L. Zhang

March 2008

Computing Initiative


Department of mathematical sciences

  • Computational Engine Research

  • Modeling of flow, spray and combustion processes

Prof. Franz Tanner


Department of mathematical sciences

  • Motivation

    • Health and Environmental

    • Sustainability

  • Main Objectives

    • Understand physical processes

    • Develop simulation tools

  • Results

    • Strategy to minimize fuel consumption and emissions

    • Multi-orifice asynchronous injection

Computational Engine Research

Mass fraction of an evaporating

fuel spray


Department of mathematical sciences

  • Motivation

    • Spray-drying and spray-freezing

    • Encapsulation of nutrients

  • Main Objectives

    • Obtain desired drop size distributions

    • Maximize production

  • Modeling Challenges/Research

    • Complex flows and materials

    • Phase changes

Modeling of Food Sprays

Air-assisted atomization of a

nutriose liquid spray


Department of mathematical sciences

  • Simulation of flow of complex fluids

  • Collaborations with ETH-Zurich and University of Tennessee

Prof. Kathleen Feigl


Department of mathematical sciences

  • Examples/Applications

    • Emulsions, foams, polymer blends

    • Foods, plastics, pharmaceuticals

  • Goals

    • Understand process-microstructure- rheology relationship

    • Design processes to optimize product properties

  • Research

    • Multidisciplinary approach

    • Combine modeling, simulation and experiments

Simulation of Fluid Systems

Simulated deformation of a

fluid droplet

March 2008

Computing Initiative


Department of mathematical sciences

Simulation of Fluid Systems

Droplet deforming in supercritical

shear flow

Droplet deforming in supercritical

elongational flow


Department of mathematical sciences

  • Ph.D. – Duke

  • Joined MTU Fall 2008

  • Research Interests

    • Scientific Computing

    • Modeling/Simulation

    • Mathematical Biology

    • CFD

Wenjun Ying, Asst. Prof.


Department of mathematical sciences

  • Space-time adaptive mesh refinement

  • Multi-scale adaptive modeling of electrical dynamics in the heart

Simulation of Cardiac Dynamics

Simulation of wave propagation

in a virtual dog heart


Department of mathematical sciences

Beating heart

Droplet deformation

Multiphase flows

Other free-boundary or moving interface problems

Cartesian Grid Method

Grid lines not aligned with complex domain boundary


Department of mathematical sciences

  • Ph.D. – Louisiana Tech

  • Post-doc – Harvard/MIT

  • Joined MTU Fall 2008

  • Research Interests

    • Computational biology

    • Cluster and classification algorithms

    • Software application development

Le (Adam) Zhang, Asst. Prof.


Department of mathematical sciences

  • Performing multi-scale, multi-resolution hybrid cancer modelling

  • Regression analysis, multivariate analysis

Simulation of Brain Cancer Progression

Brain Cancer Cell

Simulation of Cancer Progression


Department of mathematical sciences

Simulate bio-heat transfer by finite difference method

Inverse heat convection problem

Simulation of Hyperthermia in Skin Cancer Treatment

Skin Cell Structure

Treatment Simulation


Department of mathematical sciences

Statistics

Statistical Genetics – Q. Sha, R. Jiang, J. Dong, S. Zhang, H. Chen

Wildlife Population Studies – T. Drummer

Statistics , Probability, Optimization – I. Pinelis

Statistical Methodolgy and Data Analysis – Y. Munoz –Maldonado

March 2008

Computing Initiative


Department of mathematical sciences

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

  • Aerial Observation

Prof. Tom Drummer


Department of mathematical sciences

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

  • Model developed to yield probability of sighting animals


Department of mathematical sciences

  • Ph.D. – Texas A&M University

  • Statistical Methodology and Analysis of Data

    • Functional Data Analysis

    • Non parametric Methods

    • Linear and Mixed Models

    • Multivariate Analysis

Yolanda Munoz-Maldonado, Asst. Prof.


Department of mathematical sciences

  • Ganglioside Profiles Analysis

  • Detect differences in brains of young and old rats

  • Differences found in locus coeruleus of young rats which may affect sleep regulation


Department of mathematical sciences

  • Study of effect of chronic exposure to particulate matter on mortality

  • Temporal analysis of PM10 in El Paso, TX

  • Study suggests use a principal component analysis


Statistical genetics group

Statistical Genetics Group

  • 5 Faculty

  • 2 Post – docs

  • 9 PhD Students

  • Support from NIH and NSF


Department of mathematical sciences

Statistical Genetics Group

  • Sixteen Members

    • 5 faculty

    • 2 post-docs

    • 9 PhD Students

  • Supported by 4 NIH Grants

  • Total funding of over $1 million


Department of mathematical sciences

Statistical Genetics Group

Group Aims

  • Develop new tools for analysis of genomic data

  • Use innovative models and methods in human genetic studies

    Key Research Areas

  • Functional gene mapping

  • Pedigree analysis

  • Gene interactions

  • Computational methodologies

  • Microarray analysis


Department of mathematical sciences

  • Statistical Genetics

  • Prof. Quiying Sha

  • PhD Student Elena Kasyanova


Department of mathematical sciences

  • Development of new computational and statistical tools

  • Primary focus is analysis and interpretation of genomic data


Department of mathematical sciences

  • Concentration on complex human diseases

  • Key activities

    • Functional gene mapping

    • Pedigree analysis

    • Genetic diversity


Department of mathematical sciences

Combinatorics and Pure Math

Combinatorics – J. Bierbauer, D. Kreher, P. Merkey, V. Tonchev, M. Keranen

Commutative Algebra – F. Zanello

March 2008

Computing Initiative


Department of mathematical sciences

Combinatorics Group

  • ??? Members

    • ? faculty

    • ? post-docs

    • ? PhD Students

  • Supported by ????


Department of mathematical sciences

  • Ph.D. – Queen’s University Kingston

  • Joined MTU Fall 2007

  • Commutative Algebra

Fabrizio Zanello, Asst. Prof.


Department of mathematical sciences

Identified in Codimension 3.

h = (1, 3, 6, 10, 15, 21, 28, 27, 27, 28)

Existence was long-standing open problem, and has led to several publications

Non-Unimodal Level Hilbert Functions


Department of mathematical sciences

Identified asymptotic lower bound for the least possible Degree 2 entry

Socle degree 4 and codimension r

Solved 1983 conjecture of Stanley, proved in collaboration with Juan Migliore (Notre Dame) and Uwe Nagel (U. Kentucky)

f(r) ~r (6r)2/3

Gorenstein Hilbert Functions


Teaching and instructional resources

Teaching and Instructional Resources


Department of mathematical sciences

  • Prof. Allan Struthers

  • Graduate Student Yejun Gong

  • Excellent faculty accessibility


Department of mathematical sciences

  • Dr. Ghan Bhatt teaches an introductory calculus course

  • Typical calculus class size is ~ 50 students


Department of mathematical sciences

  • Beth Reed uses document camera in statistics lecture

  • Math classrooms renovated in 2006

  • Rooms equipped with latest audio-visual tools


Department of mathematical sciences

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

  • Calculus courses include laboratory component to reinforce lectures


Department of mathematical sciences

  • Tutoring session in the Math Learning Center

  • Walk-in assistance or appointments with regular tutors


Department of mathematical sciences

  • Math Learning Center open 6 days per week

  • Students teach students


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