VIGRE Heartland REU Summer 2007 Faculty Research Projects


Faculty Research Projects are as follows. For further description of each please see our complete PDF of the VIGRE REU Program here!


Using Orthogonal Polynomials to Analyze Physical and Mathematical Problems

Mentor: Prof. Palle Jorgensen, Professor of Mathematics, The University of Iowa
Workshop: Orthogonal Polynomials

Orthogonal Polynomials to Study Infinite Matrices

Mentor: Prof. Raul Curto, Professor of Mathematics, The University of Iowa
Workshop: Orthogonal Polynomials

Using Linear Algebra and Complex Numbers to Understand Conic Curves

Mentor: Prof. Raul Curto, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra

Topics in Fractal Geometry Arising from Continuous or Discrete Dynamical/ODE Problems

Mentor: Prof. Yi Li, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra

Problems in Combinatorics and Graph Theory

Mentor: Prof. David Manderscheid, Professor of Mathematics, The University of Iowa
Workshop: Graph Theory

Linear Iterative Dynamical Systems

Mentor: Prof. Juan Gatica, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra

Iteration Methods for Solving Linear Systems from Differential-Integral Equations

Mentor: Prof. Weimin Han, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra or Orthogonal Polynomials

Idempotents in Linear Algebra

Mentor: Prof. Victor Camillo, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra

Geometric Modeling of Proteins

Mentor: Prof. Jonathan Simon, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra or Graph Theory

Drug Dynamics, Exponential Functions and Differential Equations

Mentor: Prof. Keith Stroyan, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra

Conic Sections, Quadratic Equations, and Symmetric Matrices

Mentor: Prof. Dan Anderson, Professor of Mathematics, The University of Iowa
Workshop: Linear Algebra

Computer Visualization of Symmetric Knots

Mentor: Prof. Jonathan Simon, Professor of Mathematics, The University of Iowa
Workshop: Orthogonal Polynomials

Algebraic Aspects of Graph Theory

Mentor: Prof. Victor Camillo, Professor of Mathematics, The University of Iowa
Workshop: Graph Theory

Using Graphs to Understand Algebraic Structures

Mentor: Prof. Dan Anderson, Professor of Mathematics, The University of Iowa
Workshop: Graph Theory