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## BAE 502 Instrumentation for Hydrologic Applications 3. Prerequisite: MA 341, BAE 401 or ECE 331, ST 370 or ST 511.

Basic theory of instruments and measurements. Physical parameters of interest, available methods and sensors for assessment. Sensor characteristics. Dataloggers and sensor-datalogger communications. Data transfer, management, and processing. Emphasis on hydrologic and water quality research applications. Course offered by Distance Education only.

## CE 714 Stress Waves 3. Prerequisite: MA 341; CE 313 or PY 411 or MA 401.

Theory of stress waves in solids. Origins and nature of longitudinal transverse and surface waves originating at an impact site or from other transient disturbances. Determination of stresses, particle velocities, wave velocities. Wave interaction with other waves and with boundaries and dissimilar materials. Modern instrumentation and seismic refraction exploration.

## MAE 501 Advanced Engineering Thermodynamics 3. Prerequisite: MAE 302; MA 401 or MA 511.

Classical thermodynamics of a general reactive system; conservation of energy and principles of increase of entropy; fundamental relation of thermodynamics; Legendre transformations; phase transitions and critical phenomena; equilibrium and stability criteria in different representation; irreversible thermodynamics. Introduction to statistical thermodynamics.

## NE 721 Nuclear Laboratory Fundamentals 3. Prerequisite: MA 401 and NE 401.

Labratory experiments and techniques that are useful and instructive to a Nuclear Engineer. The labs include experiments on radiation detectors and detection techniques, Gamma-and X-ray spectroscopy, and use of the thermal neutron beam of the nuclear reactor for neutron imaging. All state-of-the art radiation detectors are taught and used. Restricted to Nuclear Engineering Graduate Students.

## CE 536 Introduction to Numerical Methods for Civil Engineers 3. Prerequisite: MA 302, MA 341, or MA 401.

Introduction to widely-used numerical methods through application to civil and environmental engineering problems. Emphasis will be on implementation and application rather than the mathematical theory behind the numerical methods.

## MA 401 Applied Differential Equations II 3. Prerequisite: MA 341; Credit not allowed for both MA 401 and MA 501.

Wave, heat and Laplace equations. Solutions by separation of variables and expansion in Fourier Series or other appropriate orthogonal sets. Sturm-Liouville problems. Introduction to methods for solving some classical partial differential equations.Use of power series as a tool in solving ordinary differential equations. Credit for both MA 401 and MA 501 will not be given.

## NE 528 Introduction to Plasma Physics and Fusion Energy 3. Prerequisite: MA 401 and PY 208.

Concepts in plasma physics, basics of thermonuclear reactions; charged particle collisions, single particle motions and drifts, radiation from plasmas and plasma waves, fluid theory of plasmas, formation and heating of plasmas, plasma confinement, fusion devices and other plasma applications.

## PY 528 Introduction to Plasma Physics and Fusion Energy 3. Prerequisite: MA 401 and PY 208.

Concepts in plasma physics, basics of thermonuclear reactions; charged particle collisions, single particle motions and drifts, radiation from plasmas and plasma waves, fluid theory of plasmas, formation and heating of plasmas, plasma confinement, fusion devices and other plasma applications.

## BMA 774 Partial Differential Equation Modeling in Biology 3. Prerequisite: BMA 771 or MA/OR 731; BMA 772 or MA 401 or MA 501.

Modeling with and analysis of partial differential equations as applied to real problems in biology. Review of diffusion and conservation laws. Waves and pattern formation. Chemotaxis and other forms of cell and organism movement. Introduction to solid and fluid mechanics/dynamics. Introductory numerical methods. Scaling. Perturbations, Asymptotics, Cartesian, polar and spherical geometries. Case studies.

## OR 774 Partial Differential Equation Modeling in Biology 3. Prerequisite: BMA 771 or MA/OR 731; BMA 772 or MA 401 or MA 501.

Modeling with and analysis of partial differential equations as applied to real problems in biology. Review of diffusion and conservation laws. Waves and pattern formation. Chemotaxis and other forms of cell and organism movement. Introduction to solid and fluid mechanics/dynamics. Introductory numerical methods. Scaling. Perturbations, Asymptotics, Cartesian, polar and spherical geometries. Case studies.

## MA 774 Partial Differential Equation Modeling in Biology 3. Prerequisite: BMA 771 or MA/OR 731; BMA 772 or MA 401 or MA 501.

Modeling with and analysis of partial differential equations as applied to real problems in biology. Review of diffusion and conservation laws. Waves and pattern formation. Chemotaxis and other forms of cell and organism movement. Introduction to solid and fluid mechanics/dynamics. Introductory numerical methods. Scaling. Perturbations, Asymptotics, Cartesian, polar and spherical geometries. Case studies.

## MA 501 Advanced Mathematics for Engineers and Scientists I 3. Prerequisite: MA 341; credit not allowed for both MA 501 and MA 401.

Survey of mathematical methods for engineers and scientists. Ordinary differential equations and Green's functions; partial differential equations and separation of variables; special functions, Fourier series. Applications to engineering and science. Not for credit by mathematics majors. Credit for this course and MA 401 is not allowed.

## PY 509 General Relativity 3. P: MA 401 and MA 405 and PY 412 and PY 415; R: Graduate Standing.

This course provides in-depth knowledge of general relativity covering: Einstein's equation, Schwarzschild metric, Kerr metric, Friedman-Robertson-Walker metric, Christoffel symbols, Killing vectors, Riemann curvature,and Ricci tensors. Theoretical computations are compared with experimental data including the precession rate of the perihelion for Mercury and the deflection in the solar eclipse, the geodelic affect and the frame dragging effect measured in Gravity Probe B experiment.

## NE 401 Reactor Analysis and Design 3. Prerequisites: MA 401 and C- or better in NE 301.

Elements of nuclear reactor theory for reactor core design and operation. Includes one-group neutron transport and mutigroup diffusion models, analytical and numerical criticality search, and flux distribution and calculations for homogeneous and heterogeneous reactors, slowing down models, introduction to perturbation theory.

## NE 501 Reactor Analysis and Design 3. Prerequisites: NE 520, MA 401, and CSC 112.

Elements of nuclear reactor theory for reactor core design and operation. Includes one-group neutron transport and mutigroup diffusion models, analytical and numerical criticality search, and flux distribution and calculations for homogeneous and heterogeneous reactors, slowing down models, introduction to perturbation theory.