Our research and teaching activities focus on mathematical problems
that arise in real-world applications. This involves the mathematical
modeling of physical, biological, medical, and social phenomena, as
well as the effective use of computing
resources for simulation, computation, data analysis, and
visualization. Key areas of research in our group are the modeling of
bio-films and of materials, computational neuroscience, traffic flow
modeling and simulation, the numerical approximation of differential
equations, and the solution of large systems of equations.
The mathematical modeling of real-world phenomena and the design
of modern computational approaches require a broad background in
differential equations, fluid dynamics, applied analysis, calculus
of variations, functional analysis, probability theory, and other areas.
In the recent years, several graduate students have completed a Ph.D. or masters degree in the area of Applied Mathematics and Scientific Computing.
Information of about the graduate program in Mathematics can be found on the
Graduate Program website.
Students who are interested in specializing in Applied Mathematics and Scientific Computing can achieve a M.A. in Mathematics with Applied Concentration, as well as a Ph.D in Mathematics, with an advisor in the applied areas. In both cases, students are advised to take (many of) the courses listed below.
More detailed syllabi can be found on the
Course listing by the Graduate School of the College of Science and Technology.
The courses are not taught every semester. Please check the website of the Department of Mathematics for the course schedule.
5043. Introduction to Numerical Analysis
provides the basis in numerical analysis and fundamental numerical methods.
8007/8008. Introduction to Methods in Applied Mathematics I / II
provides the student with the toolbox of an applied mathematician:
derivation of PDE, solution methods in special domains, calculus of variations,
control theory, dynamical systems, anymptotic analysis, hyperbolic conservation laws.
8013/8014. Numerical Linear Algebra I / II
cover modern concepts and methods to solve linear systems and eigenvalue problems.
8023/8024. Numerical Differential Equations I / II
present modern methods for the numerical solution of partial differential
equations, their analysis, and their practical application.