## Courses

**Courses primarily for undergraduates:**

(2-2) Cr. 3. F.S.

*Prereq: MATH 143 or satisfactory scores on mathematics placement examinations; credit or enrollment in MATH 165*

Solving aerospace engineering problems and presenting solutions through technical reports. Significant figures and estimation. SI units. Graphing and curve fitting. Introduction to aerospace engineering and engineering design. Spreadsheet programs. History of aerospace. Systems thinking. Team projects.

(2-2) Cr. 3. F.S.

*Prereq: MATH 143 or satisfactory scores on mathematics placement examinations; credit or enrollment in MATH 165*

Solving aerospace engineering problems and presenting solutions through technical reports. Significant figures. SI units and estimation. Graphing and curve fitting. Introduction to aerospace engineering and engineering design. Spreadsheet programs. History of aerospace. Systems thinking. Team projects.

(2-2) Cr. 3. F.S.

*Prereq: Credit or enrollment in AER E 160 or equivalent course*

Computer-based problem solving using Matlab(R), with emphasis on numerical methods. Introduction to solid modeling and aerospace design using SolidWorks.

(2-2) Cr. 3. F.S.

*Prereq: AER E 160 or equivalent course*

Computer-based problem solving using Matlab(R), with emphasis on numerical methods. Introduction to solid modeling and aerospace design using SolidWorks.

Cr. R. S.

Vectors, differentiation, integration, matrices, and systems of linear equations.

Cr. R. S.

Vectors, differentiation, integration, matrices, and systems of linear equations.

(Cross-listed with MTEOR). (0-2) Cr. 1. Repeatable. F.

Engineering aspects of scientific balloon flights. Integration of science mission objectives with engineering requirements. Operations team certification. FAA and FCC regulations, communications, and command systems. Flight path prediction and control.

Cr. 1-2. Repeatable.

*Prereq: Sophomore classification, approval of the department*

Cr. 1-2. Repeatable.

*Prereq: Sophomore classification, approval of the department*

Cr. 1-2. Repeatable.

*Prereq: AER E 301*

Cr. 1-2. Repeatable.

*Prereq: AER E 301*

Cr. 1. Repeatable, maximum of 3 credits. F.S.

*Prereq: Restricted to Freshman and Sophomore classifications, Instructor permission required.*

Multidisciplinary projects to engage students in the fundamentals of engineering, project management, systems engineering, teamwork, and oral and visual communication. Students will define and attain their team objectives and milestones that are approved by the instructor.
Can only be used toward graduation in these cases. To make credit deficiencies in 100 or 200 level courses. No more than 2 credits of Aer E 294X can be used to make-up credit deficiencies in 100 or 200 level courses. Cannot be used in any category or technical electives in the Aer E curriculum

Cr. R. F.S.

*Prereq: Credit or enrollment in AER E 355*

Two hours of in-flight training and necessary ground instruction. Course content prescribed by the Aerospace Engineering Department. Ten hours of flight training certified in a pilot log book can be considered by the course instructor as evidence of satisfactory performance in the course.
Offered on a satisfactory-fail basis only.

(3-0) Cr. 3. F.S.

*Prereq: Grade of C- or better in AER E 261 and MATH 265*

Introduction to fluid mechanics and aerodynamics. Fluid properties and kinematics. Conservation equations in differential and integral form. Bernoulli's equation. Basic potential flow concepts and solutions. Boundary layer concept. Incompressible flow over airfoils and wings. Examples of numerical methods. Applications of multi-variable calculus to fluid mechanics and aerodynamics.

(3-0) Cr. 3. F.S.

*Prereq: AER E 310, M E 231*

Review of thermodynamics, energy equation, compressible flow, and isentropic flow. Normal and oblique shocks. Mach waves and expansion fans. Applications to ducts and nozzles. Compressible airfoil and wing theory. Introduction to advanced compressible flow topics.

(3-0) Cr. 3. F.S.

*Prereq: E M 324, Credit or enrollment in MATH 266 or 267*

Introduction to elasticity, airworthiness, and flight loads. Introduction to fatigue. Materials selection for flight applications. Thin walled cross-sections under bending, torsion, and shear loads using classical methods. Shear center. Column buckling. Matrix methods of structural analysis.

(1-2) Cr. 2. F.S.

*Prereq: Credit or enrollment in AER E 321*

Design of experiments. Data analysis. Strain gage installation. Measurement of stiffness/strength of aluminum. Analysis/fabrication/testing of riveted joints. Shear/bending measurements inbeam sections. Analysis/measurement of strains in frames. Buckling of columns. Stress concentration. Vibration testing of beams and plates. Fabrication/testing of composites.

(3-0) Cr. 3. F.S.

*Prereq: AER E 355*

Linear system analysis. Control system designs using root-locus and frequency response methods. Applications in flight control systems.

(2-2) Cr. 3. F.S.

*Prereq: AER E 310; Coreq: AER E 311*

Similitude and dimensional analysis. Measurement uncertainty analysis. Pressure and velocity measurement methods and instruments. Pressure distribution around a circular cylinder. Aerodynamic performance of low-speed airfoils. Airfoil wake flow; Boundary layer flow. Flow visualization techniques for supersonic flows and de Laval nozzles.

(3-0) Cr. 3. F.S.

*Prereq: E M 345*

Introduction to astrodynamics. Two-body Keplerian satellite and planetary motion. Geocentric and extraterrestrial trajectories and applications. Ballistic missiles.

(3-0) Cr. 3. F.S.

*Prereq: AER E 261, MATH 267, E M 345*

Aircraft rigid body equations of motion, linearization, and modal analysis. Longitudinal and lateral-directional static and dynamic stability analysis. Flight handling characteristics analysis. Longitudinal and lateral-directional open loop response to aircraft control inputs. Aircraft flight handling qualities.

(3-0) Cr. 3. F.S.

*Prereq: Junior standing in Aerospace Engineering or permission of instructor*

Emphasis on impact of component interfaces in aerospace systems. Understand how changes in variables associated with individual components impact the performance of the aerospace system. Specific integration challenges include: capturing implicit disciplinary interactions (e.g. structures/aerodynamics, propulsion/aerodynamics, etc.), propagating tolerances through the system (i.e. uncertainty modeling), balancing component attributes in the system objective.

(3-0) Cr. 3. S.

*Prereq: MATH 166, PHYS 221*

Basic introduction to the fundamentals of Wind Energy and Wind Energy conversion systems. Topics include but not limited to various types of wind energy conversion systems and the aerodynamics, blade and tower structural loads, kinematics of the blades and meteorology.

Cr. R. Repeatable. SS.

*Prereq: Permission of department and Engineering Career Services*

Professional work period of at least 10 weeks during the summer. Students must register for this course prior to commencing work.
Offered on a satisfactory-fail basis only.

Cr. R. Repeatable. F.S.

*Prereq: Permission of department and Engineering Career Services.*

Professional work period. One semester per academic or calendar year. Students must register for this course prior to commencing work.
Offered on a satisfactory-fail basis only.

(3-0) Cr. 3. F.S.

*Prereq: AER E 311, AER E 344*

Atmospheric propulsion system performance and cycle analysis. Momentum theorem, thrust and propulsive efficiency. Thermodynamics of compressible flow with heat and work addition. Components and principles of turbojets and turbofans. Rocket engines and ramjet principles.

(3-0) Cr. 3. S.

*Prereq: AER E 311*

Electricity and magnetism. Plasma physics. Ion engine performance. Introduction to advanced electromagnetic propulsion systems. Energy sources and nuclear propulsion. Space mission requirements.

(Dual-listed with AER E 517). (Cross-listed with E M). (2-2) Cr. 3. Alt. F., offered even-numbered years.

*Prereq: E M 324; MAT E 273*

Introduction to fundamental concepts for force, displacement, stress and strain measurements for structures and materials applications. Strain gage theory and application. Full field deformation measurements with laser interferometry and digital image processing. Advanced experimental concepts at the micro- and nano-scale regimes. Selected laboratory experiments.

(2-2) Cr. 3. F.S.

*Prereq: AER E 321, MATH 266 or MATH 267*

Analysis of indeterminate flight structures including finite element laboratory. Static analysis of complex structural components subject to thermal and aerodynamic loads. Analytical and finite element solutions for stresses and displacements of membrane, plane stress, plate structures. Buckling of beams, frames, and plate structures. Introduction to vibration of flight structures. Steady state and transient structural response using normal modal analysis.

(3-0) Cr. 3. Alt. S., offered even-numbered years.

*Prereq: E M 324 or AER E 321*

Vibration theory. Steady and unsteady flows. Mathematical foundations of aeroelasticity, static and dynamic aeroelasticity. Linear unsteady aerodynamics, non-steady aerodynamics of lifting surfaces. Stall flutter. Aeroelastic problems in civil engineering structures. Aeroelastic problems of rotorcraft. Experimental aeroelasticity. Selected wind tunnel laboratory experiments.

(2-2) Cr. 3. S.

*Prereq: E M 324; MAT E 273*

Fabrication, testing and analysis of composite materials used in flight structures. Basic laminate theory of beams, plates and shells. Manufacturing and machining considerations of various types of composites. Testing of composites for material properties, strength and defects. Student projects required.

(Dual-listed with AER E 526). (2-2) Cr. 3. F.

*Prereq: E M 324*

Detailed design and analysis of aerospace vehicle structures. Material selection, strength, durability and damage tolerance, and validation analysis. Design for manufacturability.

(3-0) Cr. 3. F.

*Prereq: AER E 331*

Aircraft lateral directional stability augmentation. Launch vehicle pitch control system design. Control of flexible vehicles. Satellite attitude control. Flight control designs based on state-space methods. Introduction to sample-data systems.

(3-0) Cr. 3. F.

*Prereq: EM 345*

Three-dimensional rotational kinematics and attitude dynamics of a rigid body in space. Stability analysis of a spinning spacecraft with or without energy dissipation. Attitude dynamics and stability of a satellite in circular orbit. Introduction to spacecraft attitude determination and control systems (ADCS). Simulation of spacecraft attitude-dynamics and control problems of practical interest using MATLAB.

(3-0) Cr. 3. F.

*Prereq: AER E 261*

Introduction to the aerodynamics, performance, stability, control and critical maneuvering characteristics of V/STOL vehicles. Topics include hovercrafts, jet flaps, ducted fans and thrust vectored engines.

(3-0) Cr. 3. F.

*Prereq: AER E 311, AER E 361 and proficiency in at least one programming language*

Introduction to computational fluid dynamics. Discretization, consistency, and stability. Explicit and implicit methods for ordinary and partial differential equations. Linearization techniques. Iterative and direct solution algorithms. Numerical methods for parabolic, elliptic and hyperbolic equations. Curvilinear coordinates and numerical grid generation. Applications to Euler, boundary-layer and Navier-Stokes equations.

(Cross-listed with M E). (3-0) Cr. 3. S.

*Prereq: AER E 311 or M E 335*

Applications of principles of fluid mechanics and thermodynamics in performance analysis and design of turbomachines. Conceptual and preliminary design of axial and radial flow compressors and turbines using velocity triangles and through-flow approaches.

(3-0) Cr. 3. F.S.

*Prereq: AER E 351*

Orbit determination and prediction using Gibb's and Gauss' methods. Advanced orbit maneuvers, triple-, and fixed-impulse; universal variables; Kepler's problem. Earth gravity field models and gravity harmonics, orbit perturbations, advanced dynamics, variational methods, relative orbital mechanics, and Clohessy-Wiltshire equations.

(2-2) Cr. 3. F.S.

*Prereq: AER E 361, AER E 311, AER E 321, AER E 322, AER E 344, AER E 351, AER E 355*

Introduction to modern engineering design methodology. Computational constrained optimal design approach including selection of objective function, characterization of constraint system, materials and strength considerations, and sensitivity analyses.

(1-4) Cr. 3. F.S.

*Prereq: AER E 461*

Fundamental principles used in engineering design of aircraft, missile, and space systems. Preliminary design of aerospace vehicles. Engineering Ethics.

(Dual-listed with AER E 563). (3-0) Cr. 3. F.

*Prereq: senior standing in College of Engineering or permission of instructor*

Introduction to the theory and methods of Multidisciplinary Design Optimization (MDO), including system coupling, system sensitivity methods, decomposition methods, MDO formulations (such as multi-discipline feasible (MDF), individual discipline feasible (IDF) and all-at-once (AAO) approaches, and MDO search methods.

(3-0) Cr. 3. S.

*Prereq: AER E 351*

An examination of spacecraft systems including attitude determination and control, power, thermal control, communications, propulsion, guidance, navigation, command and data handling, and mechanisms. Explanation of space and operational environments as they impact spacecraft design. Includes discussion of safety, reliability, quality, maintainability, testing, cost, legal, and logistics issues.

(Cross-listed with A B E, B M E, CPR E, E E, ENGR, I E, M E, MAT E). (1-4) Cr. 3. Repeatable. F.S.

*Prereq: Student must be within two semesters of graduation; permission of instructor.*

Application of team design concepts to projects of a multidisciplinary nature. Concurrent treatment of design, manufacturing, and life cycle considerations. Application of design tools such as CAD, CAM, and FEM. Design methodologies, project scheduling, cost estimating, quality control, manufacturing processes. Development of a prototype and appropriate documentation in the form of written reports, oral presentations and computer models and engineering drawings.

(Cross-listed with CPR E, E E, ENGR, I E, M E, MAT E). (1-4) Cr. 3. Repeatable, maximum of 2 times. Alt. F., offered irregularly.Alt. S., offered irregularly.

*Prereq: Student must be within two semesters of graduation or receive permission of instructor.*

Build and test of a conceptual design. Detail design, manufacturability, test criteria and procedures. Application of design tools such as CAD and CAM and manufacturing techniques such as rapid prototyping. Development and testing of a full-scale prototype with appropriate documentation in the form of design journals, written reports, oral presentations and computer models and engineering drawings.

(Dual-listed with AER E 568). (Cross-listed with I E). (3-0) Cr. 3. S.

*Prereq: senior standing in College of Engineering or permission of AerE 468 instructor*

Introduction to the theoretical foundation and methods associated with the design for large-scale complex engineered systems, including objective function formation, design reliability, value-driven design, product robustness, utility theory, economic factors for the formation of a value function and complexity science as a means of detecting unintended consequences in the product behavior.

(Cross-listed with E M). (3-0) Cr. 3. S.

*Prereq: E M 324, MATH 266 or MATH 267, PHYS 222*

Introduction to stress/strain, Hooke’s law, and elastic wave propagation in two dimensions in isotropic media. Ultrasonic plane-wave reflection and transmission; and simple straight-crested guided waves. Transducer construction, behavior, and performance. Simple signal analysis and discrete signal processing. The last few weeks of the course are devoted to case studies.

(3-0) Cr. 3. S.

*Prereq: AER E 381 or senior classification in engineering or junior in engineering with a course in fluid mechanics*

Advanced topics in wind energy, emphasis on current practices. Theoretical foundations for horizontal and vertical axis wind turbine. Design codes for energy conversion systems design, aerodynamic and structural load estimation, wind resource characterization wind farm design, optimization.

(Dual-listed with AER E 583). Cr. 3.

*Prereq: AER E 311 or M E 335; and MATH 266 or MATH 267*

Noise metrics, Linear wave equation and its solution in 1-, 2-, and 3-D using Green's functions. Propagation of sound in free and confined spaces. Aerodynamic noise sources in engineering machines: aircraft engine noise, airfram noise, wind turbine noise, etc.

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-6. Repeatable.

*Prereq: Junior or senior classification, approval of the department*

Cr. 1-2. Repeatable. F.S.

*Prereq: Senior classification, credit or enrollment in AER E 491*

Development of aerospace principles and concepts through individual research and projects. Written report.

**Courses primarily for graduate students, open to qualified undergraduates:**

(3-0) Cr. 3. F.

*Prereq: MATH 267 or equivalent*

Linear ordinary differential equations with variable coefficients; hyperbolic, parabolic, and elliptic equations; tensors.
None

(Cross-listed with WESEP). (3-0) Cr. 3.

*Prereq: WESEP 501 and WESEP 502*

Advanced design, control, and operation of wind plants. Topics include electromechanical energy conversion systems, aerodynamic and aeroelastic loads, optimal control of wind farms, life cycle management strategies, tall tower design, and prediction of component residual life.

(Cross-listed with E M). (3-0) Cr. 3. F.

*Prereq: E M 324*

Theory of stress and strain, stress-strain relationships. Unsymmetrical bending, curved beams, shear center. Torsion of thin-walled noncircular sections. Equilibrium, compatibility equations. Airy stress functions. Membrane stresses in shells, thick-walled cylinders.

(Dual-listed with AER E 417). (Cross-listed with E M). (2-2) Cr. 3. Alt. F., offered even-numbered years.

*Prereq: E M 324; MAT E 273*

Introduction to fundamental concepts for force, displacement, stress and strain measurements for structures and materials applications. Strain gage theory and application. Full field deformation measurements with laser interferometry and digital image processing. Advanced experimental concepts at the micro- and nano-scale regimes. Selected laboratory experiments.

(3-0) Cr. 3. F.

*Prereq: E M 324*

Composite constituent materials, micro-mechanics, laminate analysis, hygro-thermal analysis, composite failure, joining of composites, design of composite beams and plates, honeycomb core, manufacturing of composites, short fiber composites, and demonstration laboratory.

(3-0) Cr. 3. F.

*Prereq: MATH 385, proficiency in programming*

Introduction to modern mesh generation techniques. Structured and unstructured mesh methods, algebraic and PDE methods, elliptic and hyperbolic methods, variational methods, error analysis, Delaunay triangulation, data structures, geometric modeling with B-spline and NURBS surfaces, surface meshing.

(Cross-listed with E M). (3-0) Cr. 3. S.

*Prereq: E M 425, MATH 385*

Variational and weighted residual approach to finite element equations. Emphasis on two- and three-dimensional problems in solid mechanics. Isoparametric element formulation, higher order elements, numerical integration, imposition of constraints and penalty, convergence, and other more advanced topics. Use of two- and three-dimensional computer programs. Dynamic and vibrational problems, eigenvalues, and time integration. Introduction to geometric and material nonlinearities.

(Dual-listed with AER E 426). (2-2) Cr. 3. F.

*Prereq: E M 324*

Detailed design and analysis of aerospace vehicle structures. Material selection, strength, durability and damage tolerance, and validation analysis. Design for manufacturability.

(3-0) Cr. 3. S.

*Prereq: AER E 331*

Applications of classical and modern linear control theory to automatic control of flight vehicles. Spacecraft attitude control. Control of flexible vehicles. Linear-quadratic regulator design applications.

(Cross-listed with M E). (3-0) Cr. 3. S.

*Prereq: AER E 310, 311 or equivalent*

Thermodynamics of compressible flow. Viscous and inviscid compressible flow equations. One dimensional steady flow; isentropic flow, shocks, expansions. Multidimensional compressible flow aspects. Linear and nonlinear wave analysis and method of characteristics. Subsonic, transonic, supersonic and hypersonic flows.

(3-0) Cr. 3. F.

*Prereq: AER E 310 or M E 335 or equivalent*

Kinematics and dynamics of fluid flow. Derivation of the Navier-Stokes, Euler and potential flow equations. Introduction to generalized curvilinear coordinates. Ideal fluids. Two-dimensional and three-dimensional potential flow. Complex variable methods.

(3-0) Cr. 3. F.

*Prereq: AER E 310 or M E 335 or E M 378*

Similitude and dimensional analysis. Measurement uncertainty analysis; Fluid mechanical apparatus: wind tunnel and water tunnels. Various experimental techniques widely used for fluid mechanics, aerodynamics, heat transfer, and combustion studies: Pressure gauge and transducers; Pitot tube; hot wire anemometry; Shadowgraph and Schlieren Photography; laser Doppler velocimetry; particle image velocimetry (PIV); advanced PIV techniques (stereo PIV, 3-D PIV, Tomographic PIV, Holograph PIV and microscopic PIV); laser induced fluorescence; pressure sensitive painting, temperature sensitive painting; molecular tagging velocimetry; molecular tagging thermometry. Extensive applications and laboratory experiments will be included.

(Cross-listed with M E). (3-0) Cr. 3. F.

*Prereq: AER E 310 or M E 335, and programming experience*

Basic concepts of discretization, consistency, and stability. Explicit and implicit methods for ordinary differential equations. Methods for each type of partial differential equation. Iterative solution methods; curvilinear grids. Students will program basic algorithms.

(Cross-listed with M E). (3-0) Cr. 3. S.

*Prereq: AER E 546 or equivalent*

Application of computational methods to current problems in fluid mechanics and heat transfer. Methods for solving the Navier-Stokes and reduced equation sets such as the Euler, boundary layer, and parabolized forms of the conservation equations. Introduction to relevant aspects of grid generation and turbulence modeling.

(3-0) Cr. 3. F.

*Prereq: AER E 351*

Review of 2-body problem. Orbital maneuvers. Relative motion in orbit. Orbit perturbation analysis. Gravity field expansions and effects on orbiters. 3-body problem with applications.

(3-0) Cr. 3. F.

*Prereq: AER E 331*

Principles of guidance systems for spacecraft, launch vehicles, homing and ballistic missiles. Optimal guidance. Interplanetary transfer guidance with low thrust. Principles of inertial navigation. Theory and applications of the Global Positioning System. Celestial navigation procedures. Application of Kalman filtering to recursive navigation theory.

(Dual-listed with AER E 463). (3-0) Cr. 3. F.

*Prereq: senior standing in College of Engineering or permission of instructor*

Introduction to the theory and methods of Multidisciplinary Design Optimization (MDO), including system coupling, system sensitivity methods, decomposition methods, MDO formulations (such as multi-discipline feasible (MDF), individual discipline feasible (IDF) and all-at-once (AAO) approaches, and MDO search methods.

(Cross-listed with E M, M E, M S E). (3-0) Cr. 3. Alt. F., offered even-numbered years.

*Prereq: E M 324 and either MAT E 216 or MAT E 273 or MAT E 392. Undergraduates: Permission of instructor*

Materials and mechanics approach to fracture and fatigue. Fracture mechanics, brittle and ductile fracture, fracture and fatigue characteristics, fracture of thin films and layered structures. Fracture and fatigue tests, mechanics and materials designed to avoid fracture or fatigue.

(Cross-listed with E E, I E). (3-0) Cr. 3.

*Prereq: Coursework in basic statistics*

Introduction to organized multidisciplinary approach to designing and developing systems. Concepts, principles, and practice of systems engineering as applied to large integrated systems. Life-cycle costing, scheduling, risk management, functional analysis, conceptual and detail design, test evaluation, and systems engineering planning and organization.
Not available for degrees in industrial engineering

(Cross-listed with E E). (3-0) Cr. 3. S.

*Prereq: E E 565*

Avionics functions. Applications of systems engineering principles to avionics. Top-down design of avionics systems. Automated design tools.

(Dual-listed with AER E 468). (Cross-listed with I E). (3-0) Cr. 3. S.

*Prereq: senior standing in College of Engineering or permission of AerE 468 instructor*

Introduction to the theoretical foundation and methods associated with the design for large-scale complex engineered systems, including objective function formation, design reliability, value-driven design, product robustness, utility theory, economic factors for the formation of a value function and complexity science as a means of detecting unintended consequences in the product behavior.

(Cross-listed with E M, M S E). (3-0) Cr. 3. Alt. S., offered even-numbered years.

*Prereq: E M 324*

Mechanics of fiber-reinforced materials. Micromechanics of lamina. Macromechanical behavior of lamina and laminates. Strength and interlaminar stresses of laminates. Failure criteria. Stress analysis of laminates. Thermal moisture and residual stresses. Joints in composites.

(Cross-listed with E M). (3-0) Cr. 3. Alt. S., offered odd-numbered years.

*Prereq: E M 378, E M 345*

Atmospheric circulations, atmospheric boundary layer wind, bluff-body aerodynamics, aeroelastic phenomena, wind-tunnel and full-scale testing, wind-load code and standards, effect of tornado and thunderstorm winds, design applications.

(Cross-listed with CH E). (3-0) Cr. 3.

*Prereq: AER E 541 or M E 538*

Qualitative features of turbulence. Statistical representation of turbulent velocity fields: averages, moments, correlations, length and time scales and the energy cascade. Averaged equations of motion, closure requirements, Reynolds averaged models. Homogeneous shear flows, free shear flows, boundary layers. Numerical simulation of turbulence: DNS, LES, DES.

(Cross-listed with E E, M E). (3-0) Cr. 3. F.

*Prereq: E E 324 or AER E 331 or M E 370 or M E 411 or MATH 341*

Elementary notions of probability. Random processes. Autocorrelation and spectral functions. Estimation of spectrum from finite data. Response of linear systems to random inputs. Discrete and continuous Kalman filter theory and applications. Smoothing and prediction. Linearization of nonlinear dynamics.

(Cross-listed with E E, M E). (3-0) Cr. 3. S.

*Prereq: E E 577*

The optimal control problem. Variational approach. Pontryagin's principle, Hamilton-Jacobi equation. Dynamic programming. Time-optimal, minimum fuel, minimum energy control systems. The regulator problem. Structures and properties of optimal controls.

(Cross-listed with E E, M E). (3-0) Cr. 3.

*Prereq: E E 577*

Introduction to modern robust control. Model and signal uncertainty in control systems. Uncertainty description. Stability and performance robustness to uncertainty. Solutions to the H2, Hoo, and l1 control problems. Tools for robustness analysis and synthesis.

(Cross-listed with E E, M E). (3-0) Cr. 3. F.

*Prereq: E E 475 or AER E 432 or M E 411 or MATH 415; and MATH 267*

Sampled data, discrete data, and the z-transform. Design of digital control systems using transform methods: root locus, frequency response and direct design methods. Design using state-space methods. Controllability, observability, pole placement, state estimators. Digital filters in control systems. Microcomputer implementation of digital filters. Finite wordlength effects. Linear quadratic optimal control in digital control systems. Simulation of digital control systems.

(Cross-listed with E E, M E, MATH). (3-0) Cr. 3. F.

*Prereq: E E 324 or AER E 331 or MATH 415; and MATH 207*

Linear algebra review. Least square method and singular value decomposition. State space modeling of linear continuous-time systems. Solution of linear systems. Controllability and observability. Canonical description of linear equations. Stability of linear systems. State feedback and pole placements. Observer design for linear systems.

(Cross-listed with E E, M E, MATH). (3-0) Cr. 3. S.

*Prereq: E E 577*

Linear vs nonlinear systems. Phase plane analysis. Bifurcation and center manifold theory. Lyapunov stability. Absolute stability of feedback systems. Input-output stability. Passivity theory and feedback linearization. Nonlinear control design techniques.

(3-0) Cr. 3. F.

*Prereq: MATH 267*

Mathematical perturbation methods with applications to ordinary and partial differential equations. Perturbation expansions. Order of magnitude and gauge functions. Matched asymptotic expansions. Boundary layer problems. Multiple scales. Resonance and mode coupling. Solvability conditions for differential equations. Physical and engineering applications.

(Dual-listed with AER E 483). Cr. 3.

*Prereq: AER E 311 or M E 335; and MATH 266 or MATH 267*

Noise metrics, Linear wave equation and its solution in 1-, 2-, and 3-D using Green's functions. Propagation of sound in free and confined spaces. Aerodynamic noise sources in engineering machines: aircraft engine noise, airfram noise, wind turbine noise, etc.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. 1-5. Repeatable, maximum of 3 times.

Cr. R. Repeatable.

Presentation of professional topics by department graduate students. Development of presentation skills used in a professional conference setting involving question and answer format.

Cr. 1-5. Repeatable.

**Courses for graduate students:**

(3-0) Cr. 3.

*Prereq: AerE 541*

Theoretical methods of stability analysis; linear analysis of exchange of stability and over stability; bifurcation of equilibria; most dangerous modes and pattern formation; shear flow stability theorems. Physical mechanisms. Tollmein-Schlichting waves, disintegration of capillary jets, Benard convection, Taylor-Couette flow, centrifugal instability, double diffusion.

(Cross-listed with M E). (3-0) Cr. 3. S.

*Prereq: AER E 547*

An examination of current methods in computational fluid dynamics. Differencing strategies. Advanced solution algorithms for unstructured meshes. Grid generation. Construction of higher-order CFD algorithms. Parallel computing. Current applications. Use of state of the art CFD codes.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. 1-5. Repeatable.

Cr. R. Repeatable.

*Prereq: Permission of DOGE (Director of Graduate Education), graduate classification*

One semester and one summer maximum per academic year professional work period.
Offered on a satisfactory-fail basis only.

Cr. arr. Repeatable.