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Department of Mathematics

Research presentations (faculty)

2008
  • Variation of Constants Method for Stochastic Discrete Systems
    G. S. Ladde, University of South Florida and M. Sambandham, Morehouse College
    Invited Talk in AMS Special Session on Stochastic, Large-Scale, and Hybrid Systems with Applications, AMS National Meeting, San Diego, CA, January 6-9, 2008.

  • Efficacy of Peer-Led Team Learning in Calculus I at Morehouse College
    John Merkel, Morehouse College
    AMS National Meeting, San Diego, CA, January 6-9, 2008.

    2007
  • A Probabilistic Model of Cumulative Voting with Implications for Dynamical System Simulation
    Duane Cooper, Morehouse College
    Fifth International Conference on Dynamic Systems and Applications, May 30-June 2, 2007.

  • Addition Theorems of Fuzzy Integers of Triangular Types
    Chuang Peng, Morehouse College
    Fifth International Conference on Dynamic Systems and Applications, May 30-June 2, 2007.

  • Singularities of Quadratic Differentials and Pseudo-Anosov maps of Riemann Surfaces
    Chaohui Zhang, Morehouse College
    Fifth International Conference on Dynamic Systems and Applications, May 31, 2007.

  • Numerical solution to hybrid stochastic differential systems
    Steve Pederson and M. Sambandham, Morehouse College
    Fifth International Conference on Dynamic Systems and Applications, June 2, 2007.

  • A Comparison of Cumulative and Generalized Plurality Voting
    Duane Cooper, Morehouse College and A. Zillante
    First World Meeting of the Public Choice Societies, Amsterdam, March 29 - April 1, 2007.
  • The Average Number of Real Zeros of a Random Trigonometric Polynomial
    Farouk Brania, Morehouse College
    The Sixth Annual Hawaii International Conference on Statistics, Mathematics and Related Fields, January 19, 2007.

  • Addition Theorems of Fuzzy Integers of Linear Triangular Types
    Chuang Peng, Morehouse College
    Joint Mathematics Meetings, New Orleans, January 5-8, 2007.

    2006
  • Hybrid Fuzzy Systems and Applications
    M. Sambandham and Steve Pederson, Morehouse College
    Invited talk, Second International Conference on Nonlinear Systems: Modeling Simulation and Applications, NES Science College, Nanded, Maharashtra, India, December 19-22, 2006.

  • The Mapping Problems for Quasi-conformal Maps
    Farouk Brania, Morehouse College
    Spelman College Mathematics Seminar, November 28, 2006.

  • Colloquium lecture in "Applied Mathematics"
    M. Sambandham, Morehouse College
    Invited Colloquium talk at the University of Texas at Arlington, Arlington, TX, November 3, 2006.

  • Numerical Treatment of Hybrid Fuzzy Systems
    M. Sambandham and Steve Pederson, Morehouse College
    Invited talk for CST2006 & ECT2006 Conferences in Las Palmas de Gran Canaria, Spain, September 12-15, 2006.

  • Homoclinic trajectories for fuzzy differential equations
    Steve Pederson, Morehouse College
    Third International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, August 9-12, 2006.

  • Picking Stocks with a Two Input ANN
    John Merkel, Morehouse College
    Third International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, August 9-12, 2006.

  • Numerical Treatment of Hybrid Fuzzy Differential Equations
    M. Sambandham and Steve Pederson, Morehouse College
    Third International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, August 9-12, 2006.

  • A Study Note on Fuzzy Elements and Operations
    Chuang Peng, Morehouse College
    Third International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, August 9-12, 2006.

  • On the average number of real zeros of random hyperbolic polynomials
    R. Bozeman, M. Sambandham, Morehouse College, and K. Farahmand, University of Ulster, N. Ireland
    Third International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, August 9-12, 2006.

  • Beating the Dow using Artificial Neural Networks
    John Merkel, Morehouse College
    International Symposium of Forecasting in Santander, Spain, June 2006.

  • A numerical approach to Hybrid Fuzzy Systems
    M. Sambandham and Steve Pederson, Morehouse College
    Invited talk for The International Conference of Hybrid Systems and Applications
    The University of Louisiana, Lafayette, LA, USA, May 22-26, 2006.

  • Additive Theorems and Davenport Constant over Finite Groups
    Chuang Peng, Morehouse College
    AMS Annual Meeting, San Antonio, TX, January 12, 2006.

  • Numerical Solution to Hybrid Fuzzy Systems
    M. Sambandham and Steve Pederson, Morehouse College
    Invited talk for AMS-SIAM Special Session on Stochastic, Large Scale and Hybrid Systems with Applications, San Antonio, TX, January 12-15, 2006.

    2005
  • Boundedness Properties of Hybrid Fuzzy Differential Equations
    M. Sambandham, Morehouse College,
    Second International Conference in Applied Mathematics, Plovdiv, Bulgaria, August, 13-17, 2005.

  • Recent Developments on Hybrid Fuzzy Differential Equations
    M. Sambandham, Morehouse College,
    International Conference on Differential Equations, Florida Institute of Technology, August 1-4, 2005.

  • Fuzzy homoclinic orbits and commuting fuzzifications
    Steve Pederson, Morehouse College,
    North American Fuzzy Information Processing Society Annual Meeting, Ann Arbor, Michigan, June 22-25, 2005.

  • Random Polynomials
    M. Sambandham, Morehouse College,
    University of Ulster, UK, May 5-14, 2005.

  • Quantifying Fairness to Individual Voters in Multimember versus Single-member Districts
    Duane Cooper, Morehouse College,
    Public Choice Society Annual Meeting, New Orleans LA, March 10-13.

  • Spatial Modeling and Quantifying Fairness of Cumulative Voting
    Duane Cooper, Morehouse College,
    Spelman Mathematics Seminar, Spelman College, February 22, 2005.

  • Holomorphic family and Bers fiber space
    Chaohui Zhang, Morehouse College,
    AMS Annual Meeting, Special Session on Topics in Geometric Function Theory, January 8, 2005.

  • Office Management: A Markov Model
    Gregory Battle, Morehouse College,
    MAA Annual Meeting, Session on Mathematics Experiences in Business, Industry, and Government, January 8, 2005.

  • On Maximal Ultimately Economical Subgraphs
    Curtis Clark, Morehouse College,
    AMS Annual Meeting, Session on Combinatorics, January 7, 2005.

  • Minimum Degrees of Polynomial Models on Time Series
    Chuang Peng, Morehouse College,
    AMS Annual Meeting, Session on Analysis IV, January 7, 2005.

  • Structure Theorems For Matrix Rings Over Moore-Penrose Two (MP2) Rings
    Gregory Battle, Morehouse College,
    AMS Annual Meeting, Session on History, Logic, and Algebraic Systems, January 5, 2005.

    2004
  • Extensions of quasiconformal mappings to the boundary
    Farouk Brania, Morehouse College,
    12th ICFIDCAA, International Christian University, Tokyo, Japan, July 27-31, 2004.

  • The Role of Technology in Math Education
    D.-T. Wu, Morehouse College,
    ICME-10, Copenhagen, Denmark, July 4-11, 2004.

  • Some numerical methods to random equations
    M. Sambandham, Morehouse College,
    Fourth World Congress of Nonlinear Analysts WCNA-2004, Orlando, June 30 - July 7, 2004.

  • Minimum Degrees of Polynomial Models on Time Series
    Chuang Peng, Morehouse College,
    AIMS Fifth International Conference, Pomona, CA, June 19, 2004.

  • Fuzzy Differential Equation on Time Scale
    M. Sambandham, Morehouse College,
    Colloquium Presentation, Bharathidasan University, Trichy, India, 2:30 - 3:30 PM, March 9, 2004.

  • Time Scale and Quantum Calculus
    M. Sambandham, Morehouse College,
    Colloquium Presentation and Dr. R. B. Endowment Research Presentation, National College, Trichy, India, 10:15 - 11:15 AM, March 9, 2004.

  • Time Scale and Quantum Calculus
    M. Sambandham, Morehouse College,
    Colloquium Presentation, Annamalai University, Annamalai Nagar, India, 9:30-10:30 AM, March 8, 2004.

  • Linear Transformations on Polynomial Models of Time Series
    Aihua Li and Chuang Peng, Morehouse College,
    AMS Special Session on Dynamical Systems and Difference Equations,
    Annual meeting of the American Mathematical Society,
    Phoenix, AZ, January 8, 2004.

  • Hybrid Fuzzy Systems on Time Scale
    M. Sambandham, Morehouse College,
    AMS Invited Special Session on Time Scales and Applications,
    Annual meeting of the American Mathematical Society,
    Phoenix, AZ, January 7-10, 2004.

  • On The Nature of Mathematical Thought and Inquiry: A Prelusive Suggestion
    P. McLoughlin, Morehouse College,
    Special MAA session on the Philosophy of Mathematics,
    Mathematical Association of America annual meeting, Phoenix, AZ, January 9, 2004

    2003
  • Hybrid Fuzzy Differential Equations on Time Scale
    M. Sambandham, Morehouse College,
    The Thirty-Third Annual Lloyd Roeling Mathematics Conference, University of Louisiana at Lafayette, Lafayette, LA, October 24-26, 2003

  • Stability of Hybrid Fuzzy Differential Equations
    M. Sambandham, Morehouse College,
    Colloquium Presentation, Georgia Southern University, October 16, 2003

  • Error Estimates to Ito-Type Equations
    G.S. Ladde, University of Texas at Arlington,
    S. Pederson, and M. Sambandham, Morehouse College,
    Twelfth International Colloquium on Numerical Analysis and Computer Science with Applications, Plovdiv, Bulgaria, August 12-17, 2003

  • Practical Stability of Hybrid Differential Equations
    A. Brania, C. Finley, and M. Sambandham, Morehouse College,
    MATHTOOLS' 2003, Fourth International Conference "TOOLS FOR MATHEMATICAL MODELING" in honor of the 300th anniversary of St. Petersburg, State Polytechnic University, St. Petersburg, Russia, June 23-28, 2003

  • Numerical Estimation of Payload Munitions Using Random Distributions
    Gregory Battle, Morehouse College,
    Joint International ISPA/SCEA 2003 Conference, Orlando, Florida, June 19, 2003

  • Quasimobius invariance of Loewner domains and QED domains
    A. Brania, Morehouse College,
    Rolf Nevanlinna Colloquium, Jyvaskyla, Finland, June 18, 2003

  • White Noise Perturbation in a Model Equation for the Viscoelastic Response of Rubber in Tensile Deformation
    N. Begashaw, Benedict College, SC,
    Negash G. Medhin, North Carolina State University, and
    M. Sambandham, Morehouse College,
    Fourth International Conference on Dynamic Systems and Applications, Morehouse College, May 21-24, 2003

  • Boolean Algebra Structure on Sigma (S)
    Chuang Peng, Morehouse College,
    Fourth International Conference on Dynamic Systems and Applications, Morehouse College, May 21-24, 2003

  • Application of Approximate Scheme for Stochastic Oscillators in Studying of Stochastic Resonance of Noninvasive Control
    De Ting Wu, Morehouse College,
    Fourth International Conference on Dynamic Systems and Applications, Morehouse College, May 21-24, 2003

  • Spatial Analysis of Cumulative Voting with Dynamical System Simulation
    Duane A. Cooper, Morehouse College,
    Fourth International Conference on Dynamic Systems and Applications, Morehouse College, May 21-24, 2003

  • Homoclinic orbits and bifurcation of entropy-carrying sets
    Steven M. Pederson, Morehouse College,
    Fourth International Conference on Dynamic Systems and Applications, Morehouse College, May 21-24, 2003

  • Problems related to the numerical estimation of mine kills
    Gregory Battle, Morehouse College,
    Fourth International Conference on Dynamic Systems and Applications, Morehouse College, May 21-24, 2003

  • Hybrid Fuzzy Systems on Time Scale
    M. Sambandham, Morehouse College,
    Fourth International Conference on Dynamic Systems and Applications, Morehouse College, May 21-24, 2003

  • The Assessment of Approximate Unidimensionality in Item Response Spaces: An Empirical Comparison of the Utility of Several Methods.
    P. McLoughlin, Morehouse College, Atlanta, GA,
    National Council on Measurement in Education, Chicago, IL, April 22-24, 2003

  • A Mathematical Analysis and Model of Cumulative Voting
    Duane A. Cooper, Morehouse College
    Spelman College Mathematics Department Seminar, 4 pm, April 15, 2003

  • The Potential of Cumulative Voting to Yield Fair Representation
    Duane A. Cooper, Morehouse College
    Public Choice Society Annual Meeting, Nashville TN, March 21-23, 2003

  • On Economical and Spannable Linear Forest (Preliminary Report)
    Curtis Clark, Morehouse College, Atlanta, GA,
    Frank Harary, and Thomas Storer
    (Joint Mathematics Meetings, Baltimore, MD, January 2003)

  • Initiating and Continuing Undergraduate Research in Mathematics:Using the Fusion Method of Traditional, Moore, and Constructivism to Encourage, Enhance, and Establish Undergraduate Research in Mathematics
    Padraig McLoughlin, Morehouse College, Atlanta, GA
    (MAA/AMS Joint meetings, Baltimore, MD, January 2003)

  • On Random Trigonometric Polynomials
    Robert Bozeman and M. Sambandham, Morehouse College
    (Annual meeting of the American Mathematical Society, Baltimore, MD, January 15-18, 2003)

  • Error Estimates for Boundary Value Problems of Ito-type
    G. S. Ladde, University of Texas at Arlington and M. Sambandham, Morehouse College
    (Annual meeting of the American Mathematical Society, Baltimore, MD, January 15-18, 2003)

  • Reflections on and Visions of Minority Participation in Mathematics Competitions
    Duane Cooper, Morehouse College, Atlanta, GA
    (Mathematical Association of America annual meeting, Baltimore, MD, January 2003)

  • The Fusion Method of Traditional, Moore, and Constructivism and the Incorporation of Undergraduate Research through the Mathematics Curriculum
    Padraig McLoughlin, Morehouse College, Atlanta, GA
    (Mathematical Association of America annual meeting, Baltimore, MD, January 2003)

  • An Inventive Use of the WWW as a Teaching and Learning Tool in Mathematics: Structured Web Materials for Courses Across the Mathematics Canon
    Padraig McLoughlin, Morehouse College, Atlanta, GA
    (Mathematical Association of America annual meeting, Baltimore, MD, January 2003)
    2002
  • Materials Science: Another Career Option for Mathematics Majors
    Shirley Thompson, Morehouse College, Atlanta, GA
    (Morehouse College Mathematics Department Colloquium, September 26, 2002)

  • The Central Role of Proof in the Mathematics Canon: The Efficacy of Teaching Students to Create Proofs Using a Fusion of Modified Moore, Traditional, and Reform Methods
    Padraig McLoughlin, Morehouse College, Atlanta, GA
    (Mathematical Association of America meeting, Burlington, VT, August 2002)

  • Numerical Schemes and PC Program for Stochastic Oscillators
    De Ting Wu, Morehouse College
    (Eleventh International Colloquium on Numerical Analysis and Computer Sciences with Applications, Plovdiv, Bulgaria, August 12-18, 2002)

  • Boundedness Properties of Hybrid Fuzzy Differential Systems
    M. Sambandham, Morehouse College, Atlanta, GA
    (Eleventh International Colloquium on Numerical Analysis and Computer Sciences with Applications, Plovdiv, Bulgaria, August 12-18, 2002)

  • A Proof and a PC Program for Runge-Kutta Method of Order 3 of ODE
    De Ting Wu and Robert Bozeman, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • The importance of Profile Analysis and Covariance Analysis on Four Independent Variables
    Shirley W. Thompson, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • An Investigation of the Robustness and Stability of the DeChamplain - Gessaroli Approximate Chi-Square Statistic to Assess Fundamental Unidimensionality in Item Response Spaces
    Padraig McLoughlin, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • The move number of the four-cycle is six
    Curtis Clark, Morehouse College, Atlanta, GA and Frank Harary and Thomas Storer, New Mexico State University, NM
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • Addition Theorems over Finite Groups
    Chuang Peng, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • Random trigonometric polynomials with stable distribution
    Maya C. Mukherjee, Morehouse College, Atlanta, GA and
    M. Sambandham, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • Comparison Theorem for Hybrid Fuzzy Differential Equations
    Abdelkrim Brania, Morehouse College, Atlanta, GA,
    Negash G. Medhin. Clark Atlanta University, GA, and
    M. Sambandham, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • Real Zeros of Random Trigonometric Polynomials
    Robert Bozeman, Morehouse College, Atlanta, GA,
    M. Sambandham, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • A continuous 2-parameter family with nonconnected iso-entropy curves
    Abdelkrim Brania, Morehouse College, Atlanta, GA,
    Steve Pederson, Morehouse College, Atlanta, GA
    (Second International Conference on Neural, Parallel, and Scientific Computations, Morehouse College, Atlanta, U.S.A. August 7-10, 2002)

  • Random and Fuzzy Differential Equations
    M. Sambandham, Morehouse College, Atlanta, GA
    (Invited Lecture for Workshop on UGC Sponsored Refresher Course
    in Mathematics, Annamalai University, India June 05-25, 2002)

  • On Homoclinic Tangencies in Maps with Entropy-carrying Horseshoes
    Steve Pederson, Morehouse College
    (Fourth International Conference on Dynamical Systems and Differential Equations, Wilmington, North Carolina, May 24-27, 2002)

  • Stability Properties of Hybrid Fuzzy Differential Systems
    M. Sambandham, Morehouse College, Atlanta, GA
    (Fourth International Conference on Non-linear Problems in Aviation and Aerospace, May 15-17, 2002, Florida Institute of Technology, FL)

  • The Expectation Maximization (EM) Algorithm
    Maya C. Mukherjee, Morehouse College, Atlanta, GA
    (24th Annual Mathematics Award Day, Morehouse College, Atlanta, U.S.A., April 23, 2002, 4:00 PM, Dansby 201 )

  • Extensions of Quasiconformal Mappings
    Abdelkrim Brania, Morehouse College
    (April 2, 2002, 4:30 pm, Dixieland Analysis Seminar, Department of Mathematics, Emory Univ.)

  • On ultimately economical digraphs
    Curtis Clark, Morehouse College, Atlanta, GA
    (AMS Special Session on Combinatorics and Graph Theory, 2002 AMS and MAA Spring Southeastern Section Meetings, Atlanta, GA, March 8-10, 2002)

  • Stability Properties of Hybrid Fuzzy Differential Equations on Time Scale
    M. Sambandham, Morehouse College, Atlanta, GA
    (AMS Special Session on Dynamic Equations on Time Scales, 2002 AMS and MAA Spring Southeastern Section Meetings, Georgia Institute of Technology, Atlanta, GA, March 8-10, 2002)

  • Average Number of Real Zeros of Random Polynomials
    Robert Bozeman and M. Sambandham, Morehouse College
    (2002 AMS and MAA Spring Southeastern Section Meetings, Georgia Institute of Technology, Atlanta, GA, March 8-10, 2002)

  • On Ultimately Economical Digraphs
    Curtis Clark, Morehouse College
    (Research Seminar at the Department of Mathematics, Morehouse College, Atlanta, February 19, 2002, 4:00pm Dansby 330)

  • Error Estimates and Stability Properties of Selected Random Equations
    M. Sambandham, Morehouse College
    (Research Seminar at the Department of Mathematics, Morehouse College, Atlanta, February 12, 2002, 4:00pm Dansby 330)

  • Seminar Presentation
    Dr. Gregory Battle, Morehouse College, Atlanta, GA
    Center of Excellence & E²M Scholars, Morehouse College, Thursday, January 24, 2002

  • Stability Properties of Hybrid Fuzzy Differential Equations
    M. Sambandham, Morehouse College, Atlanta, GA
    (The Joint Mathematics Meetings, January 6-9, 2002 San Diego, CA)

    2001
  • Uniformizing Gromov Hyperbolic Spaces.
    Abdelkrim Brania, Morehouse College
    (December 4, 2001, Seminar lecture, Department of Mathematics, Emory Univ.)

  • Topological Entropy and The Complexity of Maps.
    Steve Pederson, Morehouse College
    (October 16, 2001, Morehouse College Mathematics Department Colloquium)

  • Numerical Solution to Random Boundary Value Problems.
    G. S. Ladde, University of Texas at Arlington, TX
    N. G. Medhin, Clark Atlanta University, GA
    M. Sambandham, Morehouse College
    (October 5-6, 2001 AMS Sectional Meeting, Chattanooga, TN)

  • Domains with controlled modulus and quasiconformal mappings.
    Abdelkrim Brania, Morehouse College and Shanshuang Yang, Emory University, GA
    (October 5-6, 2001 AMS Sectional Meeting, Chattanooga, TN)