This program is primarily for graduate students of IMA Participating Institutions. The NSF may provide support for a limited number of students at other US universities. In order to participate, students need to fill out the application form and provide a letter of nomination.
From Monday, June 30 through Friday, July 25, 2008,
Iowa State University will be the host
of the Institute for Mathematics and its Applications (IMA)
Summer Graduate Program in Mathematics.
The course will concentrate on
Linear Algebra and Applications.
Linear algebra is a subject of central importance in both
and a variety of other disciplines. Research in linear algebra is very active, with a wealth of
applications, and linear algebra is also a powerful tool for research in other areas.
The program will run for
and cover linear algebra, numerical linear algebra, and
Four topics will be covered, one per week. Each of the speakers
present open research questions toward the end of the week, and
our goal to have each student involved in at least one research
during the course of the workshop.
Linear algebra and applications to combinatorics,
Bryan Shader. Combinatorial matrix
theory, encompassing connections between linear algebra, graph
combinatorics, has emerged as a vital area of research over the
decades, having applications to fields as diverse as biology,
economics, and computer engineering. ..more »
Numerical linear algebra, taught by
David S. Watkins.
ability to carry out matrix computations numerically, with
efficiency, is essential for applications. ..more »
Matrix inequalities in science and engineering, taught
by Chi-Kwong Li.
Matrix inequalities have applications to many
of pure and applied areas, including quantum computing,
biology, perturbation theory, optimal parameters in iterative
and optimization problems in distance-squared matrices. ..more »
Applications of linear algebra to dynamical systems,
Linear algebra is a key tool in the study of
differential equations, including the explicit form of
solutions to linear
equations, linearization theory, and results on invariant
and the Grobman-Hartman theorem. ..more »
It is expected that participants will have had standard undergraduate courses in linear algebra, numerical
analysis and ordinary differential equations. Some exposure to canonical forms and matrix factorization
would be helpful, although these topics will be reviewed as needed, especially
in week one.