### Director’s Certificate Four Course Focus Areas

**Hypersonics**

**Hypersonics**

**Aerodynamics of Compressible Fluids**

One-dimensional internal and external flow; waves; small perturbation theory; slender body theory; similarity rules; method of characteristics.

**Hypersonic Flow**

Slender body flow; similitude; Newtonian theory; blunt body flow; viscous interactions; free molecule and rarefied gas flow.

**Viscous Flow**

Derivation of fundamental equations of compressible viscous flow; boundary conditions for viscous heat-conducting flow; exact solutions for Newtonian viscous flow (Navier-Stokes) equations for special cases; similarity solutions. Thermal boundary layers, stability of laminar flows, transition to turbulence, 2-D turbulent boundary layer equations. Incompressible-turbulent mean flow, and compressible boundary layer flow.

**Introduction to Turbulence**

Macroscopic effects, analogies, statistical treatment, correlation functions, energy spectra, diffusion; application of turbulent jets and pipe flow.

**Gas Turbines**

**Gas Turbines**

**Aerodynamics of Compressible Fluids**

One-dimensional internal and external flow; waves; small perturbation theory; slender body theory; similarity rules; method of characteristics.

**Gas Dynamics for Propulsion**

Control Volume Analysis, Introduction to Compressible Flow, Varying Area Adiabatic Flow, Nozzles with and without shocks, Standing Normal Shocks, Moving and Oblique Shocks, Prandtl-Meyer Flow, Fanno Flow, Rayleigh Flow, Reaction Propulsion Systems

**Turbomachinery Systems I**

Ideal cycle analysis of turbine engines, real cycle analysis, component performance analysis, component design and systems integration (inlets, nozzles, combustors, compressors, turbines), flow through theory, turbine engine component matching, transient operation, surge and rotating stall, engine control systems, structural considerations.

**Turbomachinery Systems II**

Ideal cycle analysis of turbine engines, real cycle analysis, component performance analysis, component design and systems integration (inlets, nozzles, combustors, compressors, turbines), flowthrough theory, turbine engine component matching, transient operation, surge and rotating stall, engine control systems, structural considerations.

**Dynamics and Control**

**Dynamics and Control**

**Computer Methods in Dynamics**

This course is intended to serve as a sequel to an introductory finite element or computational mechanics courses. It is designed to deepen student’s understanding of the characteristics of elliptic, parabolic, and hyperbolic partial differential equations (PDE) and get familiar with solution techniques for dynamic problems.

**Linear System ****Theory**

Finite Dimensional Dynamical Systems, Linear Vector Space and Linear Operator Theory, Normed and Inner Product Spaces, Hilbert Spaces, Matrix Analysis, Linear Time Invariant State Space Descriptions, Solving Linear Matrix Systems and Linear Differential Systems, Controllability and Observability, Linear Stability, State Space Control and Linear State Estimators

**Aircraft Flight Controls**

Static and dynamic longitudinal, directional, and lateral stability of aero-space vehicles will be investigated. Topics include: Contribution of vehicle components to stability and control, motion with fixed and free control surfaces; steady flight and maneuvering flight; flight test techniques; introduction to control theory and automatic controls.

**Experimental Flight Mechanics: Fixed Wing Performance**

Fundamental theories, flight test techniques, and data collection and analyses for fixed wing aircraft stability and control. Topics: static and dynamic longitudinal stability, longitudinal maneuvering stability and control, static and dynamic lateral-directional stability, lateral control power, and departure testing.

**Rocket Propulsion**

**Rocket Propulsion**

**Rocket Propulsion I**

Rocket propulsion fundamentals; thermodynamics of nonreacting and chemically reacting ideal gases, rocket nozzle design; ideal rocket performance parameters; rocket heat transfer; chemistry of propellants; liquid rocket engine systems; ground testing; introduction to solid propellant rockets.

**Electric Propulsion**

Engineering concepts of electric propulsion and its application to modern satellites and deep space probes. Topics include physical principles, practical designs, and performance levels of electrically-powered space propulsion thrusters including: ion engines; pulsed and steady-state (fixed field) plasma and MHD thrusters, including Hall Thrusters, and others.

**Aerodynamics of Compressible Fluids**

One-dimensional internal and external flow; waves; small perturbation theory; slender body theory; similarity rules; method of characteristics.

**Space Environment Effects**

Introductory course on the effects of the space environment on space systems. The primary focus will be on the space environment in which satellites and spacecraft are in earth orbit. This environment contains many hazards, including: photons, particle radiation, meteoroids, high-energy atoms, molecules, and ions, extreme temperature ranges, and orbital debris. This course will be split into two parts: 1) the space environment and 2) the interactions of the space environment with spacecraft.

**Nuclear Propulsion**

**Nuclear Propulsion**

**Rocket Propulsion I**

Rocket propulsion fundamentals; thermodynamics of nonreacting and chemically reacting ideal gases, rocket nozzle design; ideal rocket performance parameters; rocket heat transfer; chemistry of propellants; liquid rocket engine systems; ground testing; introduction to solid propellant rockets.

**Gas Dynamics for Propulsion**

Control Volume Analysis, Introduction to Compressible Flow, Varying Area Adiabatic Flow, Nozzles with and without shocks, Standing Normal Shocks, Moving and Oblique Shocks, Prandtl-Meyer Flow, Fanno Flow, Rayleigh Flow, Reaction Propulsion Systems

**Advanced Radiation Heat Transfer**

This course will cover fundamental radiation processes that occur in absorbing, emitting, and radiating media (plasmas and high temperature gases). Topics will include: blackbody radiation concepts, fundamentals of radiation in matter, classical radiation, quantum theory of radiation, line broadening, continuum radiation, equilibrium relations, and other topics as time permits.

**Electric Propulsion**

Engineering concepts of electric propulsion and its application to modern satellites and deep space probes. Topics include physical principles, practical designs, and performance levels of electrically-powered space propulsion thrusters including: ion engines; pulsed and steady-state (fixed field) plasma and MHD thrusters, including Hall Thrusters, and others.

**Experimental Specialization**

**Experimental Specialization**

**Design of Experiments for Engineering Managers**

Methodology for experiments in product, service, and process improvements. Factorial experiments, screening designs, variance reduction, and other selected topics for engineering managers. Taguchi philosophy and concepts. Optimization and response surface methods. Case studies.

** Numerical Methods for Engineers**

Review and implementation of basic numerical techniques. Explicit and implicit solution techniques of ordinary differential equations and partial differential equations. Applications include heat transfer and fluid mechanics.

*Recommended Background:* *Numerical analysis, fluid mechanics, heat transfer and differential equations.*

**Engineering Optics**

Introduction to basic principles of optics for engineers, with a focus on relevant engineering applications. Topics will include principles of light, geometric optics, photodetectors, lasers, design of optical experiments, and modern optical diagnostics (for example, shadowgraph, Schlieren, pressure-sensitive paint, laser-induced fluorescence, particle image velocimetry, etc.). The course will consist primarily of a lecture format, but will be supplemented with in-class laboratory demonstrations and exercises as well as reviews of current journal articles.

**Data Measurement Analysis**

This course will cover various tools used in the analysis of random data, including classifications of random data, statistics principles, probability density & distribution functions, moments & characteristic functions, and spectral & correlation analyses. Additional topics include data acquisition fundamentals, bias & random error estimations, input-output system models, measurement examples, and advanced decomposition & analysis techniques

**General AE/ME**

**General AE/ME**

**Aerodynamics of Compressible Fluids**

**Turbomachinery Systems I**

Ideal cycle analysis of turbine engines, real cycle analysis, component performance analysis, component design and systems integration (inlets, nozzles, combustors, compressors, turbines), flow through theory, turbine engine component matching, transient operation, surge and rotating stall, engine control systems, structural considerations.

**Rocket Propulsion I**

Rocket propulsion fundamentals; thermodynamics of nonreacting and chemically reacting ideal gases, rocket nozzle design; ideal rocket performance parameters; rocket heat transfer; chemistry of propellants; liquid rocket engine systems; ground testing; introduction to solid propellant rockets.

**Linear System Theory**

Finite Dimensional Dynamical Systems, Linear Vector Space and Linear Operator Theory, Normed and Inner Product Spaces, Hilbert Spaces, Matrix Analysis, Linear Time Invariant State Space Descriptions, Solving Linear Matrix Systems and Linear Differential Systems, Controllability and Observability, Linear Stability, State Space Control and Linear State Estimators

**Industrial and Systems Engineering/Engineering Management**

**Industrial and Systems Engineering/Engineering Management**

**Productivity and Quality Engineering**

Productivity and quality measures defined and used to analyze current competitive position of important sectors of American industry with respect to national and international competition. Study of management theories and systems which promote or inhibit productivity or quality improvements

**Strategic Management in Technical Organizations**

Strategic planning process and strategic management in practice; corporate vision and mission; product, market, organizational, and financial strategies; external factors; commercialization of new technologies; and competition and beyond.

**Managing Change and Improvement in Technical Organizations**

Current topics, theories, and applications for managing change and innovation for performance improvement in organizations. Multi-initiative approaches: quality management, organizational effectiveness, employee empowerment, performance measurement, and application of statistical tools and techniques. Self-assessment and Baldrige criteria for performance excellence. Change agent, team building, and leadership issues. Case studies.

**Financial Management for Engineering Managers**

Financial and managerial accounting in engineering and technology management. Transaction recording, financial statements, ratios and analysis, activity-based accounting, and standard practices for costing, budgeting, assessment, and control.