CSEM Program: Area C Courses Mathematical Modeling and Applications
Courses in mathematical modeling and applications are offered in several
areas of science, engineering, and business. Four groups of courses from
which this concentration area might be developed are given as examples
below. Other examples are fluid dynamics, semiconductors, subsurface
modeling, chemistry, the theory of relativity, computational biology,
and computational finance.
Solid and Continuum Mechanics
- Engineering Mechanics 380, Theory of Plasticity
- Engineering Mechanics 388, Solid Mechanics I
- Engineering Mechanics 388F, Fracture Mechanics
- Engineering Mechanics 388L, Solid Mechanics II
- Engineering Mechanics 394V, Wave propagation I
Fluid Mechanics
- Aerospace Engineering 382Q, Fluid Mechanics
- Foundations of Fluid Mechanics
- Boundary Layer Flows
- Finite Difference Methods in Computational Fluid Dynamics
- Advanced Problems in Compressible Flows
- Lagrangian Methods in Computational Fluid Dynamics
- Aerospace Engineering 382R, Aerodynamics
- Hypersonic Aerodynamics
- Theoretical Gas Dynamics
- Advanced Computational Methods
- Molecular Gas Dynamics
- Optical Diagnostics for Gas Flows
- Chemical Engineering 381N, Fluid Flow and Heat Transfer
- Engineering Mechanics 387, Foundations of Fluid Mechanics
- Mechanical Engineering 380Q, Mathematical Methods in Engineering
- Engineering Analysis: Analytical Methods
- Engineering Analysis: Advanced Analytical Methods
- Perturbation Methods
- Numerical Methods for Differential Equations
- Spectral Methods in Fluid Dynamics
- Mechanical Engineering 381P, Dynamics of Fluids
- Fundamentals of Incompressable Flow
- Compressible Flow and Turbomachinery
- Dynamics of Turbulent Flow
- Separated Flow
- Applications of Incompressible Flow
- Modeling of Turbulent Flows
- Hypersonic Flow
Nonlinear Dynamics
- Aerospace Engineering 388P, Celestial Mechanics
- Hamiltonian Mechanics
- Celestial Mechanics I
- Celestial Mechanics II
- Satellite Theory
- Theory of Orbits I
- Engineering Mechanics 381, Advanced Dynamics
System and Control Theory
- Aerospace Engineering 381P, System Theory
- Linear Systems Analysis
- Multivariable Control Systems
- Optimal Control Theory I
- Numerical Methods in Optimization
- Statistical Estimation Theory
- Advanced Topics in Estimation Theory
- Stochastic Estimation and Control
- Electrical Engineering 380K, Introduction to System Theory
- Electrical Engineering 380N, Topics in System Theory
- Nonlinear Systems: Input-Output Properties
- Nonlinear Systems: Geometric Theory
- Adaptive Control Systems
- Learning Systems and Cybernetic Machines
- Stochastic Control Theory
- Stochastic Dynamical Systems
- Algorithms for Parallel and Distributed Computation
- Robotics II
- Computer Control of Manufacturing Systems
- Fundamentals of Robotics and Mechanics
- Optimization in Engineering Systems
- Operations Research and Industrial Engineering 390R, Engineering Statistics and Probability
- Applied Probability
- Time-Series Analysis
- Probability and Statistics for Applied Reliability Modeling
- Applied Stochastic Processes
- Regression and Analysis of Variance
- Statistical Techniques in Image Processing
- Queueing Theory
- Digital Systems Simulation
- Statistical Design of Experiments
- Advanced Stochastic Processes
- Multivariate Statistical Analysis
- Mathematical Statistics
- Operations Research and Industrial Engineering 391Q, Optimization
- Nonlinear Programming
- Dynamic Programming
- Network Flow Programming
- Integer Programming
- Linear Programming
- Algorithms for Mixed Integer Programming
- Multicriteria Decision Making
- Combinatorial Optimization
- Large-Scale Systems Optimization
- Stochastic Optimization
- Advanced Mathematical Programming
- Metaheuristics
Remark
Each student must complete the standard first year course CAM
397 Introduction to Mathematical Modeling and three additional
courses (9 credit hours) of graduate level course work as approved
by both their dissertation advisor and the Graduate Advisor,
in some application area consistent with the student's proposed
research area. The above list is just a sampling of courses
that might be appropriate.
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