Courses in Mechanical and Aerospace Engineering

(Schedule of Classes designation: EngrMAE)

UNDERGRADUATE

NOTE: The undergraduate courses listed below may be restricted to specific majors with each offering. Consult the Schedule of Classes for more information on course restrictions.

MAE10 Introduction to Engineering Computations (4) F. Introduction to the solution of engineering problems through the use of the computer. Elementary programming in FORTRAN and Matlab is taught. No previous knowledge of computer programming is assumed. Prerequisite or corequisite: Mathematics 2A. Only one course from Engineering MAE10, ENGR10, EECS10, and EECS12 may be taken for credit. (Design units: 1) School of Engineering majors have first consideration for enrollment.

MAE30 Statics (4) F, Summer. Addition and resolution of forces, distributed forces, equivalent system of forces centroids, first moments, moments and products on inertia, equilibrium of rigid bodies, trusses, beams, cables. Corequisite or prerequisite: Mathematics 2D. Prerequisite: Physics 7C. Same as ENGR30 and CEE30. (Design units: 0) School of Engineering majors have first consideration for enrollment.

MAE52 Computer-Aided Design (4) S. Develops skills for interpretation and presentation of mechanical design drawings and the use of CAD in engineering design. An integrated approach to drafting based on sketching, manual drawing, and three-dimensional CAD techniques is presented. (Design units: 0.5) Mechanical Engineering and Materials Science Engineering majors have first consideration for enrollment.

MAE57 Manufacturing Processes in Engineering (2). With laboratory. Machines and processes of mechanical manufacturing. Safety and professional procedures emphasized. Use of measuring instruments, hand tools, lathe, mill, drill press, bandsaw, grinder, welding equipment. Pass/Not Pass only. (Design units: 0) School of Engineering majors have first consideration for enrollment.

MAE80 Dynamics (4) W, Summer. Introduction to the kinetics and dynamics of particles and rigid bodies. The Newton-Euler, Work/Energy, and Impulse/Momentum methods are explored for ascertaining the dynamics of particles and rigid bodies. An engineering design problem using these fundamental principles is also undertaken. Prerequisites: Mathematics 2D and Physics 7C. Same as ENGR80 and CEE80. (Design units: 0.5) School of Engineering majors have first consideration for enrollment.

MAE91 Introduction to Thermodynamics (4) S, Summer. Thermodynamic principles; open and closed systems representative of engineering problems. First and second law of thermodynamics with applications to engineering systems and design. Prerequisites: Physics 7C, Mathematics 2D. Only one course from MAE91, CBEMS40B, and CBEMS45B may be taken for credit. (Design units: 0.5) Aerospace Engineering, Civil Engineering, Environmental Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE106 Mechanical Systems Laboratory (4) S. Experiments in linear systems, including op-amp circuits, vibrations, and control systems. Emphasis on demonstrating that mathematical models can be useful tools for the analysis and design of electro-mechanical systems. Prerequisite: EECS70A. (Design units: 2) Aerospace Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE107 Fluid Thermal Science Laboratory (4) F. Fluid and thermal engineering laboratory. Experimental analysis of fluid flow, heat transfer, and thermodynamic systems. Probability, statistics, and uncertainty analysis. Report writing is emphasized and a design project is required. Corequisite: MAE120. (Design units: 1) Mechanical Engineering majors have first consideration for enrollment.

MAE108 Aerospace Laboratory (4) F. Analytical and experimental investigation in aerodynamics, fluid dynamics, and heat transfer. Emphasis on study of flow over objects and lift and drag on airfoils. Introduction to basic diagnostic techniques. Report writing is emphasized and a design project is required. Prerequisite: MAE130B. (Design units: 2) Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE110 Combustion and Fuel Cell Systems (4). Fundamentals of gaseous, liquid, and coal-fired combustion and fuel cell systems. Fuels, fuel-air mixing, aerodynamics, and combustion and fuel cell thermodynamics. Operating and design aspects of practical systems including engines, power generators, boilers, furnaces, and incinerators. Prerequisite: MAE115. (Design units: 2) Chemical Engineering, Environmental Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE112 Propulsion (4) W. Application of thermodynamics and fluid mechanics to basic flow processes and cycle performance in propulsion systems: gas turbines, ramjets, scramjets, and rockets. Prerequisite: MAE135. (Design units: 1) Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE113 Electric Propulsion (4). Space propulsion requirements and maneuvers, stressing those best suited to electric propulsion. An introduction to plasma physics. Electrothermal, electromagnetic and electrostatic accelerators, with emphasis in technologies (ion engines, Hall thrusters and colloidal thrusters) belonging to the latter family. Prerequisite: MAE112. Concurrent with MAE213.

MAE115 Applied Engineering Thermodynamics (4) F. Application of thermodynamic principles to compressible and incompressible processes representative of practical engineering problems—power cycles, refrigeration cycles, multicomponent mixtures, air conditioning systems, combustion and compressible flow. Design of a thermodynamic process. Prerequisite: MAE91. (Design units: 2) Chemical Engineering, Environmental Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE117 Solar and Renewable Energy Systems (4). Basic principles, design, and operation of solar and other renewable energy systems including solar photo-voltaic, solar thermal, hydroelectric, wind, and biomass gasification and combustion. Includes power generation and storage, and renewable fuels for transportation and stationary power generation. Prerequisite: MAE115. (Design units: 1) Mechanical Engineering majors have first consideration for enrollment.

MAE118 Sustainable Energy Systems (4). Basic principles, design, and operation of sustainable energy systems including wind, solar photo-voltaic and thermal, hydroelectric, geothermal, oceanic, biomass combustion, advanced coal, and next generation nuclear. Includes power generation, storage, and transmission for stationary power generation. Prerequisite: MAE115. Concurrent with MAE218. (Design units: 1)

MAE120 Heat and Mass Transfer (4) S. Fundamentals of heat and mass transfer. Conduction, heat, and mass transfer by convection in laminar and turbulent flows, radiation heat transfer, and combined modes of heat and mass transfer. Practical engineering applications. Prerequisites: Mathematics 2D, Physics 7C, and MAE91, each with a grade of C- or better; and MAE130B. MAE120 and CBEMS125B may not both be taken for credit. (Design units: 0) Aerospace Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE130A Introduction to Fluid Mechanics (4) F. Fundamental concepts; fluid statics; fluid dynamics; Bernoulli's equation; control-volume analysis; basic flow equations of conservation of mass, momentum, and energy; differential analysis; potential flow; introduction to viscous incompressible flow. Prerequisites: Physics 7C, Mathematics 2D, Mathematics 2E, MAE30, and MAE80, each with a grade of C- or better. Only one course from MAE130A, CEE170, and CBEMS125A may be taken for credit. (Design units: 0) Aerospace Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE130B Introduction to Viscous and Compressible Flows (4) W. Introduction to the analysis of viscous flows including fully developed laminar and turbulent flow in a pipe, viscous flow over immersed bodies, evaluation of boundary layer characteristics, lift and drag, compressible flow in a duct and normal shock waves. Prerequisites: Mathematics 2D, Physics 7C, and MAE91 each with a grade of C- or better; MAE130A. (Design units: 1) Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE135 Compressible Flow (4) S. Compressibility effects in fluid mechanics. One-dimensional flow with area variation, friction, heat transfer, and shocks. Design of gas supply systems. Two-dimensional flow with oblique shocks and isentropic waves. Supersonic airfoil theory and design, wind-tunnel design. Basic diagnostics. Prerequisites: MAE91, MAE130A, MAE130B. (Design units: 1) Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE136 Aerodynamics (4) F. Analysis of flow over aircraft wings and airfoils, prediction of lift, moment, and drag. Topics: fluid dynamics equations; flow similitude; viscous effects; vorticity, circulation, Kelvins' theorem, potential flow; superposition principle, Kutta-Joukowski theorem; thin airfoil theory; finite wing theory; compressibility. Prerequisites: MAE130A, MAE130B. (Design units: 1) Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE140 Introduction to Engineering Analysis (4) F. Analytical methods in engineering. Nonhomogeneous linear ordinary differential equations. Variable coefficient linear ordinary differential equations. Eigenfunction expansions. Laplace transforms. Introduction to Fourier transforms. Linear partial differential equations. Prerequisites: Mathematics 2E or equivalent; Mathematics 3D. (Design units: 0) Aerospace Engineering, Civil Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE145 Theory of Machines and Mechanisms (4) S. Presents the basic mathematical theory of machines. Focuses on the principles of cam design, gearing and gear train analysis, and the kinematic and dynamic analysis of linkages, together with an introduction to robotics. Prerequisites: MAE80, Mathematics 3A. (Design units: 2) Mechanical Engineering and Materials Science Engineering majors have first consideration for enrollment.

MAE146 Astronautics (4) W. Motion in gravitational force fields, orbit transfers, rocketry, interplanetary trajectories, attitude dynamics and stabilization, navigation, reentry, the space environment. Prerequisite: MAE80. (Design units: 1) Aerospace Engineering majors have first consideration for enrollment.

MAE147 Vibrations (4) W. Analysis of structural vibrations of mechanical systems. Modeling for lumped and distributed parameter systems. Topics: single- and multi-degree of freedom systems, free and forced vibrations, Fourier series, convolution integral, mass/stiffness matrices, and normal modes with design project. Prerequisites: MAE80; Mathematics 2E. (Design units: 1) Materials Science Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE150 Mechanics of Structures (4) F, S, Summer. Stresses and strains. Torsion. Bending. Beam deflection. Shear force and moment distributions in beams. Yielding and buckling of columns. Combined loading. Transformation of stresses and strain. Yielding criteria. Finite elements analysis of frames. Dynamics of a two-bar truss. Prerequisites: Engineering CEE30/MAE30/ENGR30; Mathematics 3A. Same as ENGR150. MAE150/ENGR150 and CEE150 may not both be taken for credit. (Design units: 2) Aerospace Engineering, Chemical Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE150L Mechanics of Structures Laboratory (1) F. Experimental techniques for the measurement of mechanical properties of materials and structures. Methods for load, displacement and strain measurements. Tension, bending, compression tests. Determination of strength, stiffness, toughness for metals, polymers, ceramics and composites. Deformation of structures. Corequisite: MAE150. Prerequisite: MAE30. MAE150L and CEE150L may not both be taken for credit. Aerospace Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE151 Mechanical Engineering Design (4) W. A comprehensive group design project experience that involves identifying customer needs, idea generation, reverse engineering, preliminary design, standards, prototype development, testing, analysis, and redesign of a product involving fluid, thermal, and mechanical components. Introduces design for manufacturing and the environment. Prerequisites: MAE120, MAE145, and MAE170; senior standing. (Design units: 3) Materials Science Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE152 Introduction to Computer-Aided Engineering (4). Elements and principles of computer-aided engineering with modern hardware and software are presented with a design focus. Case studies are used to assist in finite-element method techniques. Prerequisites: ENGR150, MAE120. (Design units: 2). Not offered every year. Materials Science Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE153 Advanced BIOMEMS Manufacturing Techniques (4). Introduction to BIOMEMS. Advanced biotechnology/biomedicine equipment based on MEMS and NEMS. Fundamentals of MEMS/NEMS sensing techniques and the biological and physics principles involved and the preferred MEMS and NEMS manufacturing techniques. Consent of instructor. Concurrent with MAE253.

MAE155 Composite Materials and Structures (4) S. Motivation for composite materials. Different classifications according to the nature of the matrix (PMC, MMC, CMC) and the reinforcement topology (fibers, whiskers, particulates). Mechanical properties. Failure mechanisms. Designing with composite materials. Advantages and limitations of homogenization techniques for numerical modeling. Prerequisites: ENGR54; MAE150 or CEE150 or ENGR150. Concurrent with MAE255. Chemical Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE156 Mechanical Behavior and Design Principles (4) W. Principles governing structure and mechanical behavior of materials, relationship relating microstructure and mechanical response with application to elasticity, plasticity, yielding, necking, creep, and fracture of materials. Introduction to experimental techniques to characterize the properties of materials. Design parameters. Prerequisites: ENGR54. Same as CBEMS155. (Design units: 2) Materials Science Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE157 Lightweight Structures (4) W. Fundamentals of torsion and bending. Analysis and design of thin-walled and composite beams. Stress analysis of aircraft components. Stiffness, strength, and buckling. Introduction to the Finite Element method and its application to plates and shells. Prerequisite: MAE150 or CEE150 or ENGR150. (Design units: 2) Aerospace Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE158 Aircraft Performance (4) W. Fundamentals of flight theory applied to subsonic propeller and jet aircraft. Nature of aerodynamic forces, drag and lift of wing and fuselage, high-lift devices, level-flight performance, climb and glide performance, range, endurance, take-off and landing distances, static and dynamic stability and control. Prerequisites: MAE130A. (Design units: 2) Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE159 Aircraft Design (4) S. Preliminary design of subsonic general aviation and transport aircraft with emphasis on layout, aerodynamic design, propulsion, and performance. Estimation of total weight and weight distribution, design of wings, fuselage, and tail, selection and location of engines, prediction of overall performance. Prerequisites: MAE112, MAE136, MAE158. (Design units: 4) Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE164 Air Pollution and Control (4). Sources, dispersion, and effects of air pollutants. Topics include emission factors, emission inventory, air pollution, meteorology, air chemistry, air quality modeling, impact assessment, source and ambient monitoring, regional control strategies. Prerequisites: MAE91; MAE130A or CEE170. (Design units: 2) Chemical Engineering, Environmental Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAE165 Advanced Manufacturing (4). Principles in manufacturing processes. All machining requires energy: mechanical (cutting and shaping), heat energy (laser cutting), photochemical (photolithography), chemical energy (electro chemical machining and chemical vapor deposition). These methods and their fundamentals are examined. Prerequisites: MAE147 and MAE150. Concurrent with MAE265. (Design units: 1) Materials Science Engineering majors have first consideration for enrollment.

MAE170 Introduction to Control Systems (4) F. Feedback control systems. Modeling, stability, and systems specifications. Root locus, Nyquist, and Bode methods of analysis and design. Prerequisites: Mathematics 2D, Physics 7C, Engineering MAE80, each with a grade of C- or better; and MAE106. MAE170 and MAEH170 may not both be taken for credit. (Design units: 2) Aerospace Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment.

MAEH170 Honors Introduction to Control Systems (4). Feedback control systems. Modeling, stability, and systems specifications. Root locus, Nyquist, and Bode methods of analysis and design. Contour integration, advanced frequency-domain concepts, and design tools. Prerequisites: Mathematics 2D, Physics 7C, Engineering MAE80, each with a grade of C- or better; and MAE106. MAEH170 and MAE170 may not both be taken for credit. (Design units: 2)

MAE171 Digital Control Systems (4). Methods for analysis and design of discrete-time control systems. Z-transforms, difference equations, discrete Fourier transforms. Sampling theorem and applications. Z-plane stability, frequency response. Digital controller design. Introduction to digital filters. Prerequisite: MAE170. (Design units: 2) Civil Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE172 Design of Computer-Controlled Robots (4). Students design a small robotic device and program it to exhibit sentient behaviors. The basic aspects of mechatronic design are covered, including motor and sensor selection, control strategies, and microcomputer programming for the implementation of control paradigms. Corequisite: MAE180. Prerequisite: MAE170. (Design units: 3) Mechanical Engineering majors have first consideration for enrollment.

MAE175 Dynamics and Control of Aerospace Vehicles (4) S. Equations of motion, linearization, stability derivatives, and longitudinal and lateral modes of motion. Handling qualities, sensors and actuators, and effects of various feedbacks on stability and performance. Stability augmentation. Autopilot design. Prerequisite: MAE106. (Design units: 3). Aerospace Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE180 Electric Circuits and Interfaces (4) W. The use of semiconductor devices, digital and linear circuits in the design of interfaces to mechanical engineering systems. The design of interfaces to mechanical engineering system. Emphasis on design and use of microprocessor interfacing for control and data acquisition. Prerequisite: MAE106. (Design units: 3). Mechanical Engineering majors have first consideration for enrollment.

MAE183 Computer-Aided Mechanism Design (4) F. Focuses on the design of planar, spherical, and spatial mechanisms using computer algebra and graphics. Topics include both exact and approximate analytical design techniques. Students are required to use the existing software (or develop new algorithms) to design various mechanisms for new applications. Prerequisite: Mathematics 3A. (Design units: 4) Mechanical Engineering majors have first consideration for enrollment.

MAE185 Numerical Analysis in Mechanical Engineering (4). Solution of mechanical-engineering equations by means of numerical methods. Errors in numerical analysis. Nonlinear equations and sets of equations. Numerical differentiation and integration. Ordinary differential equations. Boundary-value problems. Partial differential equations. Prerequisites: MAE10, Mathematics 3D; Mathematics 2E or equivalent. MAE185 and Mathematics 105A may not both be taken for credit. (Design units: 2) Civil Engineering and Mechanical Engineering majors have first consideration for enrollment.

MAE188 Engineering Design in Industry (4). Presents the principles of engineering design in the context of an industrial application. Local manufacturing firms define an engineering design project to be completed by students in 10 weeks. Projects include initial brainstorming to final design, with a formal presentation of the result. May be taken for credit three times. (Design units: 4) Mechanical Engineering majors have first consideration for enrollment.

MAE189 Senior Project—Special Topics (1 to 4) F, W, S. Group or individual senior project of theoretical or applied nature involving design. Prerequisites: senior standing and consent of instructor. May be taken for credit for a total of 12 units. (Design units: 1-4) Mechanical Engineering majors have first consideration for enrollment.

MAE195 Seminars in Engineering (1 to 4). Seminars by individual faculty in major fields of interest. Prerequisite: consent of instructor. May be repeated for credit. (Design units: varies)

MAE198 Group Study (1 to 4). Group study of selected topics in engineering. Prerequisite: consent of instructor. May be repeated for credit as topics vary. (Design units: varies)

MAE199 Individual Study (1 to 4). For undergraduate Engineering majors in supervised but independent reading, research, or design. Students taking individual study for design credit are to submit a written paper to the instructor and to the Undergraduate Student Affairs Office in the School of Engineering. May be taken for a total of eight units. (Design units: varies)

MAE199P Individual Study (1 to 4). Supervised independent reading, research, or design for undergraduate Engineering majors. Students taking individual study for design credit are to submit a written paper to the instructor and to the Undergraduate Student Affairs Office in the School of Engineering. Pass/Not Pass only. May be repeated for credit as topics vary. (Design units: varies)

GRADUATE

MAE200A Engineering Analysis I (4) F. Linear algebra, including vector spaces, matrices, linear system of equations, least squares, and the eigenvalue problem. Ordinary differential equations, including analytical and numerical solution methods, stability, and phase portraits.

MAE200B Engineering Analysis II (4) W. Review of ordinary differential equations, including Bessel and Legendre functions. Partial differential equations, including the diffusion equation, Laplace's equation, and the wave equation. Fourier series, Fourier and Laplace transforms and their applications.

MAE205 Perturbation Methods in Engineering (4). Asymptotic expansions of integrals. Regular and singular perturbations. Perturbation methods for ordinary and partial differential equations. Matched asymptotic expansions. Multiple-scale asymptotic expansion schemes. Prerequisites: MAE200A and MAE200B, or equivalent knowledge of linear differential equations. Not offered every year.

MAE206 Nonlinear Optimization Methods (4) S. Numerical methods for constrained and unconstrained optimization. Necessary and sufficient conditions for optimimality. Conjugate gradient, variable metric algorithms. Gradient projection, penalty functions, and Lagrange methods. Prerequisite: MAE200A. Not offered every year.

MAE207 Methods of Computer Modeling in Engineering and the Sciences (4) S. Unified introduction to finite volume, finite element, field-boundary element, meshless, primal, dual, and mixed methods. Nonlinear problems posed by ordinary as well as partial differential equations. Computer implementations and comparisons of accuracy and convergence.

MAE210 Advanced Fundamentals of Combustion (4) S. Premixed, nonpremixed, and heterogeneous reactions, with emphasis on kinetics, thermal ignition, turbulent flame propagation, detonations, explosions, flammability limits, diffusion flame, quenching, flame stabilization, and particle and spray combustion. Prerequisite: MAE224 or MAE230B. Not offered every year.

MAE212 Engineering Electrochemistry: Fundamentals and Applications (4) W. Introduction to engineering electrochemistry fundamentals and applications. Examine thermodynamics and transport principles in typical electrochemical systems. Electrochemical sensors, batteries, fuel cells, and supercapacitors. Manufacturing aspects will also be covered. Prerequisite: MAE91.

MAE213 Electric Propulsion (4). Space propulsion requirements and maneuvers, stressing those best suited to electric propulsion. An introduction to plasma physics. Electrothermal, electromagnetic and electrostatic accelerators, with emphasis in technologies (ion engines, Hall thrusters and colloidal thrusters) belonging to the latter family. Prerequisite: MAE112. Concurrent with MAE113.

MAE214 Fuel-Cell Fundamentals and Technology (4) W. Fuel-cell systems design, operation, and materials. Electrochemistry and electrocatalysis, cell degradation, nature of fuel-cell electrodes and electrolytes, fuels, and fuel processing. Provides broad insight into fuel-cell science, technology, system design, and operation. Prerequisite: MAE110.

MAE215 Advanced Combustion Technology (4) S. Emphasis on pollutant formation and experimental methods. Formation of gaseous pollutants and soot; transformation and emission of fuel contaminants in gas, liquid, and solid fuel combustion; methods employed to measure velocity, turbulence intensity, temperature, composition, and particle size; methods to visualize reacting flows. Prerequisites: MAE110, MAE200A, and MAE230A or MAE270A; or consent of instructor. Not offered every year.

MAE216 Statistical Thermodynamics (4). Statistics of independent particles, development of quantum mechanical description of atoms and molecules, application of quantum mechanics, evaluation of thermodynamic properties for solids, liquids, and gases, statistical mechanics of dependent particles (ensembles). Prerequisite: MAE91 or equivalent. Not offered every year.

MAE217 Generalized Thermodynamics (4) F, S. Generalized thermodynamics develops the laws of continuum thermodynamics from a set of plausible and intuitive postulates. The postulates are motivated qualitatively by a statistical description of matter and are justified by a posterior success for the resulting theory. Prerequisites: MAE91, MAE115 or equivalent. Not offered every year.

MAE218 Sustainable Energy Systems (4). Basic principles, design, and operation of sustainable energy systems including wind, solar photo-voltaic and thermal, hydroelectric, geothermal, oceanic, biomass combustion, advanced coal, and next generation nuclear. Includes power generation, storage, and transmission for stationary power generation. Prerequisite: MAE115. Concurrent with MAE118.

MAE220 Conduction Heat Transfer (4). Steady state and transient conduction heat transfer in one- and multi-dimensional geometries. Analytical methods, exact and approximate. Numerical techniques are also included. Prerequisite: MAE120.

MAE221 Convective Heat and Mass Transfer (4). Laminar and turbulent convective heat and mass transfer in external and internal flows. Forced and free convection. Exact and approximate solutions. Similarity solutions. Variable properties. Concentration boundary layer theory. Mass transfer conductance. Prerequisite: MAE230B. Not offered every year.

MAE223A Numerical Methods in Heat, Mass, and Momentum Transport (Laminar Flows) I (4) F. Introduction to the discretization of various types of partial differential equations (parabolic, elliptic, hyperbolic). Finite-volume discretization for one- and two-dimensional flows. Use of a two-dimensional elliptic procedure to predict sample laminar flows. Corequisite or prerequisite: MAE230A. Not offered every year.

MAE223B Numerical Methods in Heat, Mass, and Momentum Transport (Turbulent Flows) II (4). Introduction to turbulence. Reynolds-averaging of Navier-Stokes equations. Second-order closure of the average equations. Use of two-dimensional elliptic procedure to predict confined turbulent flows. Prerequisite: MAE223A. Not offered every year.

MAE224 Advanced Transport Phenomena (4). Fundamentals of transport phenomena in fluid (gas and liquid), solid, nano systems. Conservation equations, fundamentals of diffusion, ion transport, dispersion in turbulent/laminar flows, absorption, differential/staged distillation, transport in membranes, and nano/microscale transport phenomena. Prerequisite: MAE120. Not offered every year.

MAE226 Special Topics in Fluid and Thermal Sciences (1 to 4). Special topics of current interest in fluid mechanics, heat and mass transfer, multiphase flows, or combustion. Emphasis could be placed on theory, computational methods, or experimental techniques. Prerequisite: consent of instructor.

MAE230A Inviscid Incompressible Fluid Mechanics I (4) F. Equations of motion. Vector notation. Flow kinematics. Potential flow and complex potential. Vorticity and circulation. Bernoulli's theorem. Crocco's theorem. Conformal, Joukowski, and Schwarz-Christoffel transformations. Prerequisite: MAE130A.

MAE230B Viscous Incompressible Fluid Dynamics II (4) W. Review of mass, momentum, energy equations. Stress tensor, constitutive relations. Exact solutions to laminar flows. Stokes and Oseen flows. Concept of self-similarity. Boundary layer theory: thin-layer approximation, Falkner-Skan, Blasius solutions, integral methods. Jet, wake, cavity flows. Introduction to turbulence: instability, Reynolds averaging, mixing length. Prerequisite: MAE230A.

MAE230C Compressible Fluid Dynamics (4) S. One-dimensional unsteady flow: Riemann invariants, acoustics, shock tube. Two-dimensional flow: shock polars, linear theory, similarity rules, method of characteristics. Three-dimensional flow: slender-body theory. Effects of viscosity and conductivity: laminar boundary layer, Crocco-Busemann relations. Prerequisite: MAE230A or MAE230B.

MAE230D Theoretical Foundations of Fluid Mechanics (4). Well-posed problems and boundary, initial, and interface conditions; strong and weak solutions. Similarity, perturbation theory and limit behavior, bifurcations. Wave propagation: dispersive and nondispersive waves, nonlinear acoustics, ship waves, internal gravity waves, water waves. Vortices: mutual interactions and stability. Jets, wakes, cavities. Prerequisites: MAE230A, MAE230B. Not offered every year.

MAE231 Fundamentals of Turbulence (4). Phenomenon of turbulence. Reynolds equations. Dynamics of turbulence. Free turbulent shear flows. Wall-bounded turbulent shear flows. Turbulent transport of scalar quantities. Spectral dynamics. Mathematical models of turbulence. Prerequisite: MAE230A, MAE230B.

MAE233 Turbulent Free Shear Flows (4). Practical and theoretical aspects of turbulent free shear flows. Instability, global scaling laws, mixing, and noise generation in incompressible and compressible shear layers, jets, and wakes. Kelvin-Helmoltz instability, near- and far-field growth rates, effect of compressibility, aeroacoustics of jets. Prerequisites: MAE200B, MAE230A, MAE230B.

MAE236 Nonequilibrium Gas Dynamics (4). Molecular description of fluid flow. Boltzmann equation. Chapman-Enskog expansion for flows with translational nonequilibrium. Shock structure. Inviscid flows with chemical and vibrational nonequilibrium. Prerequisite: MAE230C. Not offered every year.

MAE237 Computational Fluid Dynamics (4). Mathematical, physical, and computational fundamentals of computational fluid dynamics, numerical methods for solving the Euler and Navier-Stokes equations. Topics include: finite-difference and finite-volume discretization, time marching methods, von Neumann analysis, upwinding, flux splitting, TVD, and other high-resolution shock-capturing schemes. Prerequisite: MAE230C or consent of instructor.

MAE238 Experimental Fluid Dynamics (4). Concepts and techniques for measurement of fluid motion. Quantitative and qualitative flow visualization. Flow facilities, shadowgraph, schlieren, interferometer, thermal anemometer. Laser diagnostics, fluorescence, Rayleigh, Raman, Mie scattering. Laser-Doppler, particle-image, and image-correlation velocimetry. Three- and four-dimensional digital imaging. Prerequisites: MAE230A, MAE230B. Not offered every year.

MAE241 Dynamics (4) F. Kinematics and dynamics of three-dimensional motions. Lagrange's equations, Newton-Euler equations. Applications include robot systems and spinning satellites. Prerequisite: MAE147 or equivalent.

MAE242 Robotics (4). Spatial rigid-body transformations. Forward and inverse kinematics. Jacobian of serial and parallel chains. Screw coordinates and transformations. Rate and static analyses using screw theory. Singularity analysis. Trajectory generation. Not offered every year.

MAE243 Spaceflight Mechanics (4). Accurate force modeling; spacecraft trajectory design problem; two-body dynamics; Lambert problem; orbit perturbations and maintenance; applications to Earth and Moon missions; gravity assists and three-body dynamics; applications to Moon, Mars, and interplanetary missions; libration point missions and dynamical system theory methods.

MAE244 Theoretical Kinematics (4). Spatial rigid body kinematics is presented with applications to robotics. Orthogonal matrices, Rodrigues' formula, Quaternions, Plücker coordinates, screw theory, and dual numbers are studied using modern projective geometry and multi-linear algebra. Applications include trajectory planning, inverse kinematics, and workspace analysis. Not offered every year.

MAE245 Spatial Mechanism Design (4) W. Fundamental kinematic theory required for planar, spherical, and spatial mechanism design. The focus is on algebraic methods for the exact solution of constraint equations. Not offered every year.

MAE247 Micro-System Design (4) F. Covers the fundamentals of the many disciplines needed for design of Micro-Electro-Mechanical Systems (MEMS): microfabrication technology, structural mechanics on micro-scale, electrostatics, circuit interface, control, computer-aided design, and system integration. Same as EECS278.

MAE249 Micro-Sensors and Actuators (4) S. Introduction to the technology of Micro-Electro-Mechanical Systems (MEMS). Fundamental principles and applications of important microsensors and actuation principles on microscale. Introduction to the elements of signal processing; processing of materials for micro sensor/actuator fabrication; smart sensors and microsensor/ microactuator array devices. Same as EECS279.

MAE250 Biorobotics (4) W. Sensors, actuators, and neural circuits for biological movement control from an engineering perspective. Current approaches to robotic and mechatronic devices that support and enhance human movement in health and following neurologic injuries like stroke and spinal cord injury.

MAE252 Fundamentals of Microfabrication (4) F. Introduces Engineering and Science students to the science of miniaturization. Different options to make very small machines (micro and nano size) are reviewed, materials choices are discussed, scaling laws are analyzed, and many practical applications are listed.

MAE253 Advanced BIOMEMS Manufacturing Techniques (4) W. Introduction of BIOMEMS. Advanced biotechnology/biomedicine equipment based on MEMS and NEMS. Fundamentals of MEMS/NEMS sensing techniques and the biological and physics principles involved and the preferred MEMS and NEMS manufacturing techniques. Concurrent with MAE153.

MAE254 Mechanics of Solids and Structures (4) W. Finite deformation kinematics; stress and strain measures; invariance in solid mechanics; objective rates; constitutive theory of elastic and inelastic solids; rate formulations; computational approaches; theories of plates and shells; applications to aerospace vehicles.

MAE255 Composite Materials and Structures (4). Motivation for composite materials. Different classifications according to the nature of the matrix (PMC, MMC, CMC) and the reinforcement topology (fibers, whiskers, particulates). Mechanical properties. Failure mechanisms. Designing with composite materials. Advantages and limitations of homogenization techniques for numerical modeling. Prerequisites: ENGR54; MAE150 or CEE150 or ENGR150. Concurrent with MAE155.

MAE260 Current Issues Related to Tropospheric and Stratospheric Processes (4). Examination of current issues related to the atmosphere, including energy usage; toxicology; effects on humans, forest, plants, and ecosystems; particulate matter (PM10); combustion; modeling, and meteorology; airborne toxic chemicals and risk assessment; application of science to development of public policies. Prerequisite: One course selected from Chemistry 245, Earth System Science 202, Engineering MAE164, Engineering MAE261, or consent of instructor. Same as Chemistry 241. Not offered every year.

MAE261 Air Quality Modeling (4). Fundamental principles necessary to understand the dynamics of air pollutants. Derivation and description of mathematical techniques for the numerical solution of the atmospheric equation. Formulation and development of air quality models. Prerequisites: MAE230A and MAE230B or consent of instructor; MAE10 or equivalent FORTRAN knowledge. Not offered every year.

MAE265 Advanced Manufacturing (4). Principles in manufacturing processes. All machining requires energy: mechanical (cutting and shaping), heat energy (laser cutting), photochemical (photolithography), chemical energy (electro chemical machining and chemical vapor deposition). These methods and their fundamentals are examined. Prerequisites: MAE147 and MAE150. Concurrent with MAE165.

MAE270A Linear Systems I (4) F. Input-output and state-space representations of continuous-time linear systems. State transition matrices. Controllability and observability. Irreducible realizations. State feedback and observer design. Prerequisite: MAE170 or EECS160A.

MAE270B Linear Systems II (4). Advanced topics in linear systems: bases, linear operator representations, and Jordan forms. Review of dynamical systems, and stability. Time-varying systems, discrete-time representations, and multi-input/multi-output systems. Introduction to continuous and discrete time linear regulator (LQR) problems. Prerequisite: MAE270A. Not offered every year.

MAE272 Robust Control Theory (4). Methods for control design of systems with uncertainty. Feedback stability and small gain theorem. Multivariable stability margins and multiplier theory. H-infinity-optimal control, linear matrix inequalities. Prerequisite: MAE270A. Not offered every year.

MAE273 Control of Robot Systems (4). Dynamic analysis and control system design of open- and closed-chained mechanisms. Methods for real time control of nonlinear systems. Lyapunov Stability. Advanced motion planning algorithms. Prerequisites: MAE241, MAE270A. Not offered every year.

MAE274 Optimal Control (4). Introduction to the principles and methods of optimal control. Topics include: objectives and issues in controlling nonlinear systems; linear variational and adjoint equations; optimality conditions via variational calculus, maximum principle, and dynamic programming; solution methods; applications to control of robots and aerospace vehicles. Not offered every year.

MAE275 Nonlinear Feedback Systems (4). Advanced tools for feedback control system analysis and synthesis. Norms, operators, Lp spaces, contraction mapping theorem, Lyapunov techniques along with their extensions. Circle criterion, positivity and passivity. Applications to nonlinear control methods, such as sliding mode or adaptive techniques. Prerequisite: MAE270B. Not offered every year.

MAE276 Geometric Nonlinear Control (4). Using the mathematics of differential geometry, a number of the concepts and results of linear systems theory have been extended to nonlinear systems. Describes these extensions and illustrates their use in nonlinear system analysis and design. Prerequisites: MAE200A, MAE270A. Not offered every year.

MAE277 Introduction to Neural Control Systems (4). Basic models and learning rules of artificial neural networks: perceptrons, multilayer neural networks and backpropagation, support vector machines, radial basis functions networks, CMAC networks. Introduction to regularization and statistical learning theory. Neural networks in system identification and control.

MAE278 Estimation Techniques for Tracking and Navigation (4). Fixed bearing navigation, least squares, uncertainty modeling, minimum variance and maximum likelihood, covariance analysis and filter efficiency, GPS, orbit determination, Gauss-Markov models, inertial navigation, Kalman filters, Fokker-Planck and Kushner equations, nonlinear-filters. Prerequisites: MAE200A, MAE270A.

MAE279 Special Topics in Mechanical Systems (4). Selected topics of current interest in mechanical systems. Topics include robotics, kinematics, control, dynamics, and geometric modeling. Prerequisites: MAE241, MAE270A. May be repeated for credit as topics vary. Not offered every year.

MAE294 M.S. Project (4) F, W, S. Tutorial in which master's-level students taking the comprehensive examination option undertake a master's-level research project. May be repeated for credit.

MAE295 Special Topics in Mechanical and Aerospace Engineering (1 to 4) F, W, S. Special topics by individual faculty in major fields of interest. May be repeated for credit as topics vary.

MAE296 Master of Science Thesis Research (1 to 16) F, W, S. Individual research or investigation conducted in the pursuit of preparing and completing the thesis required for the M.S. in Engineering. Prerequisite: consent of instructor. May be repeated for credit.

MAE297 Doctor of Philosophy Dissertation Research (1 to 16) F, W, S. Individual research or investigation conducted in the pursuit of preparing and completing the dissertation required for the Ph.D. in Engineering. Prerequisite: consent of instructor. May be repeated for credit.

MAE298 Seminars in Mechanical and Aerospace Engineering (1) F, W, S. Presentation of advanced topics and reports of current research efforts in mechanical engineering. Required of all graduate students in mechanical engineering. Satisfactory/Unsatisfactory grading only. May be repeated for credit as topics vary.

MAE299 Individual Research (1 to 16) F, W, S. Individual research or investigation under the direction of an individual faculty member. Prerequisite: consent of instructor. May be repeated for credit.