Research in physical applied mathematics, motivated by real world problems is central to Dr. Hoefer’s investigations. His research is generally in the field of nonlinear waves with a focus on two areas: 1) fluid or fluid-like dynamics of dispersive media with accompanying wave excitations including dispersive shock waves (DSWs) and solitary waves; 2) dynamics of magnetic media. Methods employed include mathematical modeling, analysis, asymptotics, numerical analysis, and experiment. Dr. Hoefer leads the Dispersive Hydrodynamics Laboratory whose mission is to explore dynamics in novel nonlinear wave, fluid-like systems.
APPM 2350 - Calculus 3 for Engineers
Covers multivariable calculus, vector analysis, and theorems of Gauss, Green, and Stokes. Degree credit not granted for this course and MATH 2400.
APPM 5480 - Methods of Applied Mathematics: Approximation Methods
Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods and applications to differential and integral equations. Department enforced prerequisite: APPM 5470.
APPM 7400 - Topics in Applied Mathematics
Spring 2018 / Spring 2019 / Spring 2020
Provides a vehicle for the development and presentation of new topics with the potential of being incorporated into the core courses in applied mathematics. May be repeated up to 6 total credit hours.