# Mechl, Mtrls and Arspc Engrg (MMAE)

**Introduction to the Profession**

Introduces the student to the scope of the engineering profession and its role in society, develops a sense of professionalism in the student, confirms and reinforces the student's career choices, and provides a mechanism for regular academic advising. Provides integration with other first-year courses. Applications of mathematics to engineering. Emphasis is placed on the development of professional communications and teamwork skills.

**Lecture:**2

**Lab:**1

**Credits:**3

**Satisfies:**Communications (C)

**Introduction to Mechanics**

Equilibrium concepts. Free body diagrams. Statics of particles and rigid bodies. Distributed forces, centroids, center of gravity, and moments of inertia. Friction. Internal loads in bars, shafts, cables, and beams.

**Prerequisite(s):**(CS 104* or CS 105* or CS 115*) and MATH 152* and PHYS 123, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Mechanics of Solids**

Stress and strain relations, mechanical properties. Axially loaded members. Torsion of circular shafts. Plane stress and strain, Mohr's circle, stress transformation. Elementary bending theory, normal and shear stresses in beams, beam deflection. Combined loading.

**Prerequisite(s):**MMAE 200

**Lecture:**3

**Lab:**0

**Credits:**3

**Design for Innovation**

Design and development of mechanical systems. The design process, isometric sketching, engineering drawings, CAD, sustainable design, whole-system design and lifecycle thinking, design for product lifetime, lightweighting, technical writing, bio-inspired design process, bio-inspired design for locomotion, mechanism and linkage design, actuators, triggers, engineering and ethics, and engineering and law. Team-based design and build projects focusing on sustainable design techniques, bio-inspired locomotion, and mechatronics.

**Prerequisite(s):**(CS 104 or CS 105 or CS 115) and MMAE 200*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**1

**Lab:**3

**Credits:**3

**Satisfies:**Communications (C)

**Advanced Mechanics of Solids**

Analysis of stress and strain. Torsional and bending structural elements. Energy methods and Castigliano's theorems. Curved beams and springs. Thick-walled cylinders and spinning disks. Pressure vessels. Contact stresses. Stability of columns. Stress concentration and stress intensity factors. Theories of failure, yield, and fracture. Fatigue.

**Lecture:**3

**Lab:**0

**Credits:**3

**Mechanics of Aerostructures**

Loads on aircraft, and flight envelope. Stress, strain and constitutive relations. Torsion of open, closed and multi-cell tubes. Energy methods. Castigliano's theorems. Structural instability.

**Lecture:**3

**Lab:**0

**Credits:**3

**Dynamics**

Kinematics of particles. Kinetics of particles. Newton's laws of motion, energy; momentum. Systems of particles. Kinematics of rigid bodies. Plane motion of rigid bodies: forces and accelerations, energy, momentum.

**Prerequisite(s):**MATH 252* and (MMAE 200 or CAE 286), An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Compressible Flow**

Regimes of compressible perfect-gas flow. Steady, quasi one-dimensional flow in passages. Effects of heat addition and friction in ducts. Design of nozzles, diffusers and wind tunnels. Simple waves and shocks in unsteady duct flow. Steady two-dimensional supersonic flow including oblique shocks and Prandtl-Meyer expansions.

**Lecture:**3

**Lab:**0

**Credits:**3

**Aerodynamics of Aerospace Vehicles**

Analysis of aerodynamic lift and drag forces on bodies. Potential flow calculation of lift on two-dimensional bodies; numerical solutions; source and vortex panels. Boundary layers and drag calculations. Aerodynamic characteristics of airfoils; the finite wing.

**Prerequisite(s):**MMAE 320 and MMAE 313 and MMAE 311*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Fluid Mechanics**

Basic properties of fluids in motion. Langrangian and Eulerian viewpoints, materials derivative, streamlines, etc. Continuity, energy, and linear and angular momentum equations in integral and differential forms. Integration of equations for one-dimensional forms and application to problems. Incompressible viscous flow; Navier-Stokes equations, parallel flow, pipe flow, and the Moody diagram. Introduction to laminar and turbulent boundary layers and free surface flows.

**Prerequisite(s):**MMAE 200 and MATH 252* and MATH 251 and MMAE 320*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Aerospace Laboratory I**

Basic skills for engineering research are taught, which include: analog electronic circuit analysis, fundamentals of digital data acquisition, measurements of pressure, temperature, flow rate, heat transfer, and static forces and moments; statistical data analysis.

**Prerequisite(s):**PHYS 221 and MMAE 311* and MMAE 313, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**2

**Lab:**3

**Credits:**4

**Satisfies:**Communications (C)

**Mechanical Laboratory I**

Basic skills for engineering research are taught, which include: analog electronic circuit analysis; fundamentals of digital data acquisition; measurements of pressure, temperature, flow rate, heat transfer, and static forces and moments; and statistical date analysis.

**Lecture:**3

**Lab:**3

**Credits:**4

**Satisfies:**Communications (C)

**Thermodynamics**

Introduction to thermodynamics including properties of matter; First Law of Thermodynamics and its use in analyzing open and closed systems; limitations of the Second Law of Thermodynamics; entropy.

**Prerequisite(s):**MATH 251

**Lecture:**3

**Lab:**0

**Credits:**3

**Applied Thermodynamics**

Analysis of thermodynamic systems including energy analysis; analysis and design of power and refrigeration cycles; gas mixtures and chemically reacting systems; chemical equilibrium; combustion and fuel cells.

**Prerequisite(s):**MMAE 320 and MMAE 313*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Heat and Mass Transfer**

Basic laws of transport phenomena, including: steady-state heat conduction; multi-dimensional and transient conduction; forced internal and external convection; natural convection; heat exchanger design and analysis; fundamental concepts of radiation; shape factors and network analysis; diffusive and convective mass transfer; phase change, condensation and boiling.

**Lecture:**3

**Lab:**0

**Credits:**3

**Design of Machine Elements**

Students will gain an understanding of the basic elements used in machine design. These include the characteristics of gears, bearings, shafts, keys, couplings, fasteners, springs, electric motors, brakes and clutches, and flexible elements. Students will also learn mechanism types, linkage analysis, and kinematic synthesis.

**Prerequisite(s):**(MMAE 302 or MMAE 304) and MS 201 and MMAE 232*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Computational Mechanics**

Explores the use of numerical methods to solve engineering problems in solid mechanics, fluid mechanics and heat transfer. Topics include matrix algebra, nonlinear equations of one variable, systems of linear algebraic equations, nonlinear equations of several variables, classification of partial differential equations in engineering, the finite difference method, and the finite element method. Same a MATH 350.

**Prerequisite(s):**MATH 251 and CS 104-201 and MMAE 202* and MATH 252*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Aerospace Propulsion**

Analysis and performance of various jet and rocket propulsive devices. Foundations of propulsion theory. Design and analysis of inlets, compressors, combustion chambers, and other elements of propulsive devices. Emphasis is placed on mobile power plants for aerospace applications.

**Prerequisite(s):**MMAE 311

**Lecture:**3

**Lab:**0

**Credits:**3

**Physics of Solids**

Introduction of crystallography, crystal structure, crystal systems, symmetry, stereographic representation. Crystal structures in materials. X-ray diffraction; character of X-rays and their interaction with crystals; diffraction methods. Structure of the atom and the behavior of electrons in solids. Band theory of solids. Electrical, thermal and magnetic behavior. Theory of phase stability in alloys. Equivalent to PHYS 437.

**Prerequisite(s):**MS 201

**Lecture:**3

**Lab:**0

**Credits:**3

**Satisfies:**Communications (C)

**Structure and Properties of Materials I**

Crystal structures and structure determination. Crystal defects, intrinsic and extrinsic properties, diffusion, kinetics of transformations, evolution and classification of microstructures.

**Prerequisite(s):**MMAE 320* and MS 201, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Materials Laboratory I**

Introduction to materials characterization techniques including specimen preparation, metallography, optical and scanning electron microscopy, temperature measurement, data acquisition analysis and presentation.

**Prerequisite(s):**MMAE 365* or MMAE 371*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**1

**Lab:**6

**Credits:**3

**Satisfies:**Communications (C)

**Aerospace Materials Lab**

Mechanical behavior and microstructural characterization of aerospace materials including advanced metal alloys, polymers, ceramics, and composites. Introduction to mechanical testing techniques for assessing the properties and performance of aerospace materials. Evaluation of structural performance in terms of materials selection, processing, service conditions, and design.

**Lecture:**3

**Lab:**3

**Credits:**3

**Satisfies:**Communications (C)

**Instrumentation and Measurements Laboratory**

Basic skills for engineering research are taught, which include: analog electronic circuit analysis, fundamentals of digital data acquisition and statistical data analysis. Laboratory testing methods including solid mechanics: tension, torsion, hardness, impact, toughness, fatigue and creep. Design of experiments.

**Prerequisite(s):**PHYS 221

**Lecture:**2

**Lab:**3

**Credits:**4

**Satisfies:**Communications (C)

**Aircraft Flight Mechanics**

Airplane performance: takeoff, rate of climb, time to climb, ceilings, range and endurance, operating limitations, descent and landing. Helicopters and V/STOL aircraft. Airplane static stability and control: longitudinal stability, directional stability, and roll stability. Airplane equations of motion: kinematics and dynamics of airplanes, and stability derivatives. Dynamic response: longitudinal modes of motion, lateral modes of motion. Introduction to aircraft control.

**Prerequisite(s):**MMAE 443* and MMAE 312, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Spacecraft Dynamics**

Orbital mechanics: two-body problem, Kepler's equation, classical orbital elements, and introduction to orbit perturbations. Spacecraft mission analysis: orbital maneuvers and station keeping, earth orbiting, lunar, and interplanetary missions, introduction to orbit determination. Spacecraft attitude dynamics: three-dimensional kinematics and dynamics of spacecraft, rotating reference frames and orientation angles, and spacecraft equations of motion. Spacecraft attitude stability and control: dual-spin platforms, momentum wheels, control-moment gyros, gravity gradient stabilization, introduction to spacecraft attitude determination and control.

**Prerequisite(s):**MMAE 443* and MMAE 305 and MMAE 200 and MATH 252, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Spacecraft Design I**

Launch vehicle design including a system engineering, payload mission definition, propulsion and staging, structural design, trajectory analysis and guidance, launch window considerations, navigation and attitude determination, booster re-entry, range safety, and reliability. Semester-long project is focused on the integration of multiple systems into a coherent launch vehicle design to achieve specific mission requirements.

**Prerequisite(s):**(MMAE 302 or MMAE 304) and MMAE 411* and MMAE 452, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**2

**Lab:**1

**Credits:**3

**Satisfies:**Communications (C)

**Aircraft Design I**

Aircraft design including aerodynamic, structural, and power plant characteristics to achieve performance goals. Focus on applications ranging from commercial to military and from manpowered to high-speed to long-duration aircraft. Semester project is a collaborative effort in which small design groups complete the preliminary design cycle of an aircraft to achieve specific design requirements.

**Prerequisite(s):**(MMAE 302 or MMAE 304) and MMAE 312 and MMAE 410* and MMAE 452, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**2

**Lab:**1

**Credits:**3

**Satisfies:**Communications (C)

**Aerospace Laboratory II**

Advanced skills for engineering research are taught, which include experiments with digital electronic circuit analysis, dynamic data acquisition techniques, fundamentals of fluid power system design, GPS and inertial guidance systems, air-breathing propulsion, and fly-by-wire control.

**Prerequisite(s):**(MMAE 315 or MMAE 319) and MMAE 443*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**2

**Lab:**3

**Credits:**4

**Satisfies:**Communications (C)

**Fluid Power for Aerospace Applications**

Basic principles and concepts needed for the design and troubleshooting of fluid power systems. An emphasis is placed on flight control and simulation of hydraulic systems and is extended to mobile and industrial applications.

**Prerequisite(s):**MMAE 313 and MMAE 443*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**2

**Lab:**3

**Credits:**3

**Mechanical Laboratory II**

Laboratory testing methods including solid mechanics: tension, torsion, hardness, impact, toughness, fatigue and creep; heat and mass transfer: conduction, fins, convection, radiation, diffusion; vibrations and control. Design of experiments.

**Prerequisite(s):**(MMAE 302* or MMAE 304*) and (MMAE 315 or MMAE 319) and MMAE 323 and MMAE 443*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**3

**Credits:**4

**Satisfies:**Communications (C)

**Direct Energy Conversion**

A study of various methods available for direct conversion of thermal energy into electrical energy. Introduction to the principles of operation of magneto-hydrodynamic generators, thermoelectric devices, thermionic converters, fuel cells and solar cells.

**Lecture:**3

**Lab:**0

**Credits:**3

**Nuclear, Fossil-Fuel, and Sustainable Energy Systems**

Principles, technology, and hardware used for conversion of nuclear, fossil-fuel, and sustainable energy into electric power will be discussed. Thermodynamic analysis -- Rankine cycle. Design and key components of fossil-fuel power plants. Nuclear fuel, reactions, materials. Pressurized water reactors (PWR). Boiling water reactors (BWR). Canadian heavy water (CANDU) power plants. Heat transfer from the nuclear fuel elements. Introduction to two phase flow: flow regimes; models. Critical heat flux. Environmental effects of coal and nuclear power. Design of solar collectors. Direct conversion of solar energy into electricity. Wind power. Geothermal energy. Energy conservation and sustainable buildings. Enrichment of nuclear fuel. Nuclear weapons and effects of the explosions.

**Lecture:**3

**Lab:**0

**Credits:**3

**Design of Mechanical Systems**

Capstone design courses taken during the senior year. At the end of this course, students should have a good grasp of the design process and how to integrate design with the analysis taught in previous courses. The course serves as a guide to transferring the skills that the students learned in the classroom into becoming an engineer in industry or a graduate student in the field. The focus of the class will be a team-based project conceptualized and developed by the students.

**Prerequisite(s):**MMAE 304 or MMAE 332*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**1

**Lab:**3

**Credits:**3

**Satisfies:**Communications (C)

**Design of Thermal Systems**

Application of principles of fluid mechanics, heat transfer, and thermodynamics to design of components of engineering systems. Examples are drawn from power generation, environmental control, air and ground transportation, and industrial processes, as well as other industries. Groups of students work on projects for integration of these components and design of thermal systems.

**Lecture:**3

**Lab:**0

**Credits:**3

**Satisfies:**Communications (C)

**Introduction to Robotics**

Classification of robots; kinematics and inverse kinematics of manipulators; trajectory planning; robot dynamics and equations of motion; position control.

**Lecture:**3

**Lab:**0

**Credits:**3

**Systems Analysis and Control**

Mathematical modeling of dynamic systems; linearization. Laplace transform; transfer functions; transient and steady-state response. Feedback control of single-input, single-output systems. Routh stability criterion. Root-locus method for control system design. Frequency-response methods; Bode plots; Nyquist stability criterion.

**Lecture:**3

**Lab:**0

**Credits:**3

**Design for Manufacture**

The materials/design/manufacturing interface in the production of industrial and consumer goods. Material and process selection; process capabilities; modern trends in manufacturing. Life cycle engineering; competitive aspects of manufacturing; quality, cost, and environmental considerations.

**Prerequisite(s):**MMAE 485

**Lecture:**3

**Lab:**0

**Credits:**3

**Computer-Aided Design**

Principles of geometric modeling, finite element analysis and design optimization. Curve, surface, and solid modeling. Mesh generation, Galerkin method, and Isoparametric elements. Optimum design concepts. Numerical methods for constrained and unconstrained optimization. Applications of CAD/CAE software for mechanical design problems.

**Lecture:**3

**Lab:**0

**Credits:**3

**Computational Mechanics II**

Explores the use of numerical methods to solve engineering problems in continuum mechanics, fluid mechanics, and heat transfer. Topics include partial differential equations and differential and integral eigenvalue problems. As tools for the solution of such equations, we discuss methods of linear algebra, finite difference and finite volume methods, spectral methods, and finite element methods. The course contains an introduction to the use of a commercial finite element package for the solution of complex partial differential equations.

**Lecture:**3

**Lab:**0

**Credits:**3

**Finite Element Methods in Engineering**

Principles of minimum potential energy of structures--stiffness matrices, stress matrices and assembly process of global matrices. The finite element method for two-dimensional problems: interpolation functions, area coordinates, isoperimetric elements, and problems of stress concentration. General finite element codes: data generation and checks, ill-conditioned problems, and node numbering.

**Lecture:**3

**Lab:**0

**Credits:**3

**Aerospace Propulsion**

Analysis and performance of various jet and rocket propulsive devices. Foundations of propulsion theory. Design and analysis of inlets, compressors, combustion chambers, and other elements of propulsive devices. Emphasis is placed on mobile power plants for aerospace applications.

**Prerequisite(s):**MMAE 311

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Automotive Powertrains**

This course provides insight into the various methods of propulsion available for automobiles. Students will receive the tools and practical understanding required to analyze a variety of vehicle powertrain architectures and predict the energy consumptions and vehicle performance of the current automotive powertrains. This course will provide students with an understanding of the working principles of internal combustion engines, hybrid powertrains, and electric vehicles; the ability to predict the energy requirements of these powertrains; experience in analyzing system and component efficiency based on vehicle test data; and a comprehensive view of the current challenges in the automotive transportation sector. Students will apply the analytical tools presented in the course to examine topics such as vehicle loads and losses, emissions control, vehicle efficiency, and the impact of vehicle hybridization and electrification.

**Prerequisite(s):**MMAE 321

**Lecture:**3

**Lab:**0

**Credits:**3

**Failure Analysis**

This course provides comprehensive coverage of both the "how" and "why" of metal and ceramic failures and gives students the intellectual tools and practical understanding needed to analyze failures from a structural point of view. Its proven methods of examination and analysis enable students to reach correct, fact-based conclusions on the causes of metal failures, present and defend these conclusions before highly critical bodies, and suggest design improvements that may prevent future failures. Analytical methods presented in the course include stress analysis, fracture mechanics, fatigue analysis, corrosion science, and nondestructive testing. Numerous case studies illustrate the application of basic principles of metallurgy and failure analysis to a wide variety of real-world situations.

**Prerequisite(s):**MS 201

**Lecture:**3

**Lab:**0

**Credits:**3

**Structure and Properties of Materials II**

Continuation of MMAE 365. Solidification structures, diffusional and diffusionless transformations. Structure-property relationships in commercial materials.

**Prerequisite(s):**MMAE 365

**Lecture:**3

**Lab:**0

**Credits:**3

**Electrical, Magnetic, and Optical Properties of Materials**

Electronic structure of solids, semiconductor devices and their fabrication. Ferroelectric and piezoelectric materials. Magnetic properties, magnetocrystalline anisotropy, magnetic materials and devices. Optical properties and their applications, generation and use of polarized light. Same as PHYS 465.

**Lecture:**3

**Lab:**0

**Credits:**3

**Satisfies:**Communications (C)

**Introduction to Polymer Science**

An introduction to the basic principles that govern the synthesis, processing and properties of polymeric materials. Topics include classifications, synthesis methods, physical and chemical behavior, characterization methods, processing technologies and applications. Credit will only be granted for CHE 470, CHEM 470, MMAE 470.

**Lecture:**3

**Lab:**0

**Credits:**3

**Satisfies:**Communications (C)

**Advanced Aerospace Materials**

Principles of materials and process selection for minimum weight design in aerospace applications. Advanced structural materials for aircraft fuselage and propulsion applications. Materials for space vehicles and satellites. Environmental degradation in aerospace materials.

**Prerequisite(s):**MMAE 372

**Lecture:**3

**Lab:**0

**Credits:**3

**Corrosion: Materials Reliability and Protective Measures**

This course covers the basics of corrosion science (fundamentals and mechanisms) and corrosion engineering (protection and control). The various forms of corrosion (uniform, pitting, crevice, stress corrosion cracking, etc.) are illustrated along with practical protective measures (coatings, inhibitors, electrochemical protection, materials upgrade, etc.). The course highlights the concepts of alloys design to minimize corrosion, the properties of steels, stainless steels, and high-performance alloys along with case studies of corrosion failures and lessons learned.

**Prerequisite(s):**MMAE 365

**Lecture:**2

**Lab:**0

**Credits:**2

**Materials Laboratory II**

Team design projects focused on the processing and/or characterization of metallic, non-metallic, and composite materials. Students will work on a capstone design problem with realistic constraints, perform experimental investigations to establish relationships between materials structures, processing routes and properties, and utilize statistical or computational methods for data analysis.

**Prerequisite(s):**MMAE 370

**Lecture:**1

**Lab:**6

**Credits:**3

**Composites**

This course focuses on metal, ceramic and carbon matrix composites. Types of composite. Synthesis of precursors. Fabrication of composites. Design of composites. Mechanical properties and environmental effects. Applications.

**Prerequisite(s):**MS 201

**Lecture:**3

**Lab:**0

**Credits:**3

**Materials and Process Selection**

Decision analysis. Demand, materials and processing profiles. Design criteria. Selection schemes. Value and performance oriented selection. Case studies.

**Lecture:**3

**Lab:**0

**Credits:**3

**Satisfies:**Communications (C)

**Manufacturing Processes**

Principles of material forming and removal processes and equipment. Force and power requirements, surface integrity, final properties and dimensional accuracy as influenced by material properties and process variables. Design for manufacturing. Factors influencing choice of manufacturing process.

**Lecture:**3

**Lab:**0

**Credits:**3

**Crystallography and Crystal Defect**

Geometrical crystallography - formal definitions of lattices, systems, point groups, etc. Mathematical methods of crystallographic analysis. Diffraction techniques: X-ray, electron and neutron diffraction. Crystal defects and their influence on crystal growth and crystal properties.

**Lecture:**3

**Lab:**0

**Credits:**3

**Undergraduate Research**

Student undertakes an independent research project under the guidance of an MMAE faculty member. Requires the approval of the MMAE Department Undergraduate Studies Committee.

**Credit:**Variable

**Undergraduate Design Project**

Student undertakes an independent design project under the guidance of an MMAE faculty member. Requires the approval of the MMAE Department Undergraduate Studies Committee.

**Credit:**Variable

**Undergraduate Special Topics**

Special individual design project, study, or report as defined by a faculty member of the department. Requires junior or senior standing and written consent of both academic advisor and course instructor.

**Credit:**Variable

**Engineering Analysis I**

Vectors and matrices, systems of linear equations, linear transformations, eigenvalues and eigenvectors, systems of ordinary differential equations, decomposition of matrices, and functions of matrices. Eigenfunction expansions of differential equations, self-adjoint differential operators, Sturm-Liouville equations. Complex variables, analytic functions and Cauchy-Riemann equations, harmonic functions, conformal mapping, and boundary-value problems. Calculus of variations, Euler's equation, constrained functionals, Rayleigh-Ritz method, Hamilton's principle, optimization and control. Prerequisite: An undergraduate course in differential equations.

**Lecture:**3

**Lab:**0

**Credits:**3

**Engineering Analysis II**

Generalized functions and Green's functions. Complex integration: series expansions of complex functions, singularities, Cauchy's residue theorem, and evaluation of real definite integrals. Integral transforms: Fourier and Laplace transforms, applications to partial differential equations and integral equations.

**Prerequisite(s):**MMAE 501

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Engineering Analysis**

Selected topics in advanced engineering analysis, such as ordinary differential equations in the complex domain, partial differential equations, integral equations, and/or nonlinear dynamics and bifurcation theory, chosen according to student and instructor interest.

**Prerequisite(s):**MMAE 502

**Lecture:**3

**Lab:**0

**Credits:**3

**Perturbation Methods**

Asymptotic series, regular and singular perturbations, matched asymptotic expansions, and WKB theory. Methods of strained coordinates and multiple scales. Application of asymptotic methods in science and engineering.

**Prerequisite(s):**MMAE 501

**Lecture:**3

**Lab:**0

**Credits:**3

**Introduction to Continuum Mechanics**

A unified treatment of topics common to solid and fluid mechanics. Cartesian tensors. Deformation, strain, rotation and compatibility equations. Motion, velocity gradient, vorticity. Momentum, moment of momentum, energy, and stress tensors. Equations of motion, frame indifference. Constitutive relations for elastic, viscoelastic, and fluids and plastic solids.

**Prerequisite(s):**MMAE 501

**Lecture:**3

**Lab:**0

**Credits:**3

**Fundamentals of Fluid Mechanics**

Kinematics of fluid motion. Constitutive equations of isotropic viscous compressible fluids. Derivation of Navier-Stokes equations. Lessons from special exact solutions, self-similarity. Admissibility of idealizations and their applications; inviscid, adiabatic, irrotational, incompressible, boundary-layer, quasi one-dimensional, linearized and creeping flows. Vorticity theorems. Unsteady Bernoulli equation. Basic flow solutions. Basic features of turbulent flows.

**Prerequisite(s):**MMAE 501*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**4

**Lab:**0

**Credits:**4

**Dynamics of Compressible Fluids**

Low-speed compressible flow past bodies. Linearized, subsonic, and supersonic flow past slender bodies. Similarity laws. Transonic flow. Hypersonic flow, mathematical theory of characteristics. Applications including shock and nonlinear wave interaction in unsteady one-dimensional flow and two-dimensional, planar and axisymmetric supersonic flow.

**Prerequisite(s):**MMAE 510

**Lecture:**3

**Lab:**0

**Credits:**3

**Dynamics of Viscous Fluids**

Navier-Stokes equations and some simple exact solutions. Oseen-Stokes flows. Boundary-layer equations and their physical interpretations. Flows along walls, and in channels. Jets and wakes. Separation and transition to turbulence. Boundary layers in unsteady flows. Thermal and compressible boundary layers. Mathematical techniques of similarity transformation, regular and singular perturbation, and finite differences.

**Prerequisite(s):**MMAE 510

**Lecture:**4

**Lab:**0

**Credits:**4

**Turbulent Flows**

Stationary random functions. Correlation tensors. Wave number space. Mechanics of turbulence. Energy spectrum. Dissipation and energy cascade. Turbulence measurements. Isotropic turbulence. Turbulent transport processes. Mixing and free turbulence. Wall-constrained turbulence. Compressibility effects. Sound and pseudo-sound generated by turbulence. Familiarity with basic concepts of probability and statistics and with Cartesian tensors is assumed.

**Prerequisite(s):**MMAE 510

**Lecture:**4

**Lab:**0

**Credits:**4

**Stability of Viscous Flows**

Concept of hydrodynamic stability. Governing equations. Analytical and numerical treatment of eigenvalue problems and variational methods. Inviscid stability of parallel flows and spiral flows. Thermal instability and its consequences. Stability of channel flows, layered fluid flows, jets and flows around cylinders. Other effects and its consequences; moving frames, compressibility, stratification, hydromagnetics. Nonlinear theory and energy methods. Transition to turbulence.

**Lecture:**4

**Lab:**0

**Credits:**4

**Engineering Acoustics**

Characteristics of sound waves in two and three dimensions. External and internal sound wave propagation. Transmission and reflection of sound waves through media. Sources of sound from fixed and moving bodies. Flow-induced vibrations. Sound-level measurement techniques.

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Experimental Methods in Fluid Mechanics**

Design and use of multiple sensor probes to measure multiple velocity components, reverse-flow velocities, Reynolds stress, vorticity components and intermittency. Simultaneous measurement of velocity and temperature. Theory and use of optical transducers, including laser velocimetry and particle tracking. Special measurement techniques applied to multiphase and reacting flows. Laboratory measurements in transitional and turbulent wakes, free-shear flows, jets, grid turbulence and boundary layers. Digital signal acquisitions and processing. Instructor's consent required.

**Lecture:**2

**Lab:**3

**Credits:**3

**Computational Fluid Dynamics**

Classification of partial differential equations. Finite-difference methods. Numerical solution techniques including direct, iterative, and multigrid methods for general elliptic and parabolic differential equations. Numerical algorithms for solution of the Navier-Stokes equations in the primitive-variables and vorticity-stream function formulations. Grids and grid generation. Numerical modeling of turbulent flows. Additional Prerequisite: An undergraduate course in numerical methods.

**Prerequisite(s):**MMAE 510

**Lecture:**3

**Lab:**0

**Credits:**3

**Spectral Methods in Computational Fluid Dynamics**

Application of advanced numerical methods and techniques to the solution of important classes of problems in fluid mechanics. Emphasis is in methods derived from weighted-residuals approaches, like Galerkin and Galerkin-Tau methods, spectral and pseudospectral methods, and dynamical systems modeling via projections on arbitrary orthogonal function bases. Finite element and spectral element methods will be introduced briefly in the context of Galerkin methods. A subsection of the course will be devoted to numerical turbulence modeling, and to the problem of grid generation for complex geometries.

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Thermodynamics**

Macroscopic thermodynamics: first and second laws applied to equilibrium in multicomponent systems with chemical reaction and phase change, availability analysis, evaluations of thermodynamic properties of solids, liquids, and gases for single and multicomponent systems. Applications to contemporary engineering systems. Prerequisite: An undergraduate course in applied thermodynamics.

**Lecture:**3

**Lab:**0

**Credits:**3

**Nuclear, Fossil-Fuel, and Sustainable Energy Systems**

Principles, technology, and hardware used for conversion of nuclear, fossil-fuel, and sustainable energy into electric power will be discussed. Thermodynamic analysis -- Rankine cycle. Design and key components of fossil-fuel power plants. Nuclear fuel, reactions, materials. Pressurized water reactors (PWR). Boiling water reactors (BWR). Canadian heavy water (CANDU) power plants. Heat transfer from the nuclear fuel elements. Introduction to two phase flow: flow regimes; models. Critical heat flux. Environmental effects of coal and nuclear power. Design of solar collectors. Direct conversion of solar energy into electricity. Wind power. Geothermal energy. Energy conservation and sustainable buildings. Enrichment of nuclear fuel. Nuclear weapons and effects of the explosions.

**Lecture:**3

**Lab:**0

**Credits:**3

**Fundamentals of Power Generation**

Thermodynamic, combustion, and heat transfer analyses relating to steam-turbine and gas-turbine power generation. Environmental impacts of combustion power cycles. Consideration of alternative and sustainable power generation processes such as wind and tidal, geothermal, hydroelectric, solar, fuel cells, nuclear power, and microbial. Prerequisite: An undergraduate course in applied thermodynamics.

**Lecture:**3

**Lab:**0

**Credits:**3

**Fundamentals of Combustion**

Combustion stoichiometry. Chemical equilibrium. Adiabatic flame temperature. Reaction kinetics. Transport processes. Gas flames classification. Premixed flames. Laminar and turbulent regimes. Flame propagation. Deflagrations and detonations. Diffusion flames. Spray combustion. The fractal geometry of flames. Ignition theory. Pollutant formation. Engine combustion. Solid phase combustion. Combustion diagnostics. Prerequisite: An undergraduate course in thermodynamics and heat transfer or instructor consent.

**Lecture:**3

**Lab:**0

**Credits:**3

**Fundamentals of Heat Transfer**

Modes and fundamental laws of heat transfer. The heat equations and their initial and boundary conditions. Conduction problems solved by separation of variables. Numerical methods in conduction. Forced and natural convection in channels and over exterior surfaces. Similarity and dimensionless parameters. Heat and mass analogy. Effects of turbulence. Boiling and condensation. Radiation processes and properties. Blackbody and gray surfaces radiation. Shape factors. Radiation shields. Prerequisite: An undergraduate course in heat transfer.

**Lecture:**3

**Lab:**0

**Credits:**3

**Heat Transfer: Conduction**

Fundamental laws of heat conduction. Heat equations and their initial and boundary conditions. Steady, unsteady and periodic states in one or multidimensional problems. Composite materials. Methods of Green's functions, eigenfunction expansions, finite differences, finite element methods.

**Lecture:**3

**Lab:**0

**Credits:**3

**Heat Transfer: Convection and Radiation**

Convective heat transfer analyses of external and internal flows. Forced and free convection. Dimensional analysis. Phase change. Heat and mass analogy. Reynolds analogy. Turbulence effects. Heat exchangers, regenerators. Basic laws of Radiation Heat Transfer. Thermal radiation and quantum mechanics pyrometry. Infrared measuring techniques.

**Prerequisite(s):**MMAE 525

**Lecture:**3

**Lab:**0

**Credits:**3

**Theory of Plasticity**

Phenomenological nature of metals, yield criteria for 3-D states of stress, geometric representation of the yield surface. Levy-Mises and Prandtl-Reuss equations, associated and non-associated flow rules, Drucker's stability postulate and its consequences, consistency condition for nonhardening materials, strain hardening postulates. Elastic plastic boundary value problems. Computational techniques for treatment of small and finite plastic deformations.

**Prerequisite(s):**MMAE 530

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Mechanics of Solids**

Mathematical foundations: tensor algebra, notation and properties, eigenvalues and eigenvectors. Kinematics: deformation gradient, finite and small strain tensors. Force and equilibrium: concepts of traction/stress, Cauchy relation, equilibrium equations, properties of stress tensor, principal stresses. Constitutive laws: generalized Hooke's law, anisotropy and thermoelasticity. Boundary value problems in linear elasticity: plane stress, plane strain, axisymmetric problems, Airy stress function. Energy methods for elastic solids. Torsion. Elastic and inelastic stability of columns.

**Prerequisite(s):**MMAE 501*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Theory of Elasticity**

Notion of stress and strain, field equations of linearized elasticity. Plane problems in rectangular and polar coordinates. Problems without a characteristic length. Plane problems in linear elastic fracture mechanics. Complex variable techniques, energy theorems, approximate numerical techniques.

**Prerequisite(s):**MMAE 530

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Finite Element Methods**

Continuation of MMAE 451/CAE 442. Covers the theory and practice of advanced finite element procedures. Topics include implicit and explicit time integration, stability of integration algorithms, unsteady heat conduction, treatment of plates and shells, small-strain plasticity, and treatment of geometric nonlinearity. Practical engineering problems in solid mechanics and heat transfer are solved using MATLAB and commercial finite element software. Special emphasis is placed on proper time step and convergence tolerance selection, mesh design, and results interpretation.

**Prerequisite(s):**CAE 442 or MMAE 451

**Lecture:**3

**Lab:**0

**Credits:**3

**Fatigue and Fracture Mechanics**

Analysis of the general state of stress and strain in solids; dynamic fracture tests (FAD, CAT). Linear elastic fracture mechanics (LEFM), Griffith-Irwin analysis, ASTM, KIC, KIPCI, KIA, KID. Plane stress, plane strain; yielding fracture mechanics (COD, JIC). Fatigue crack initiation. Goodman diagrams and fatigue crack propagation. Notch sensitivity and stress concentrations. Low-cycle fatigue, corrosion and thermal fatigue. Prerequisite: An undergraduate course in mechanics of solids.

**Lecture:**3

**Lab:**0

**Credits:**3

**Wave Propagation**

This is an introductory course on wave propagation. Although the ideas are presented in the context of elastic waves in solids, they easily carry over to sound waves in water and electromagnetic waves. The topics include one dimensional motion of elastic continuum, traveling waves, standing waves, energy flux, and the use of Fourier integrals. Problem statement in dynamic elasticity, uniqueness of solution, basic solution of elastodynamics, integral representations, steady state time harmonic response. Elastic waves in unbounded medium, plane harmonic waves in elastic half-spaces, reflection and transmission at interfaces, Rayleigh waves, Stoneley waves, slowness diagrams, dispersive waves in waveguides and phononic composites, thermal effects and effects of viscoelasticity, anisotropy, and nonlinearity on wave propagation.

**Lecture:**3

**Lab:**0

**Credits:**3

**Experimental Solid Mechanics**

Review of applied elasticity. Stress, strain and stress-strain relations. Basic equations and boundary value problems in plane elasticity. Methods of strain measurement and related instrumentation. Electrical resistance strain gauges, strain gauge circuits and recording instruments. Analysis of strain gauge data. Brittle coatings. Photoelasticity; photoelastic coatings; moire methods; interferometric methods. Applications of these methods in the laboratory. Prerequisite: An undergraduate course in mechanics of solids.

**Lecture:**3

**Lab:**2

**Credits:**4

**Robotics**

Kinematics and inverse kinematics of manipulators. Newton-Euler dynamic formulation. Independent joint control. Trajectory and path planning using potential fields and probabilistic roadmaps. Adaptive control. Force control.

**Prerequisite(s):**MMAE 501* and MMAE 443, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Dynamics**

Kinematics of rigid bodies. Rotating reference frames and coordinate transformations; Inertia dyadic. Newton-Euler equations of motion. Gyroscopic motion. Conservative forces and potential functions. Generalized coordinates and generalized forces. Lagrange's equations. Holonomic and nonholonomic constraints. Lagrange multipliers. Kane's equations. Elements of orbital and spacecraft dynamics. Additional Prerequisite: An undergraduate course in dynamics.

**Prerequisite(s):**MMAE 501*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Applied Dynamical Systems**

This course will cover analytical and computational methods for studying nonlinear ordinary differential equations especially from a geometric perspective. Topics include stability analysis, perturbation theory, averaging methods, bifurcation theory, chaos, and Hamiltonian systems.

**Prerequisite(s):**MMAE 501

**Lecture:**3

**Lab:**0

**Credits:**3

**Modern Control Systems**

Review of classical control. Discrete-time systems. Linear difference equations. Z-transform. Design of digital controllers using transform methods. State-space representations of continuous and discrete-time systems. State feedback. Controllability and observability. Pole placement. Optimal control. Linear-Quadratic Regulator (LQR). Probability and stochastic processes. Optimal estimation. Kalman Filter. Additional Prerequisite: An undergraduate course in classical control.

**Prerequisite(s):**MMAE 501*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Design Optimization**

Optimization theory and practice with examples. Finite-dimensional unconstrained and constrained optimization, Kuhn-Tucker theory, linear and quadratic programming, penalty methods, direct methods, approximation techniques, duality. Formulation and computer solution of design optimization problems in structures, manufacturing and thermofluid systems. Prerequisite: An undergraduate course in numerical methods.

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced CAD/CAM**

Interactive computer graphics in mechanical engineering design and manufacturing. Mathematics of three-dimensional object and curved surface representations. Surface versus solid modeling methods. Numerical control of machine tools and factory automation. Applications using commercial CAD/CAM in design projects.

**Prerequisite(s):**MMAE 445

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Manufacturing Engineering**

Introduction to advanced manufacturing processes, such as powder metallurgy, joining and assembly, grinding, water jet cutting, laser-based manufacturing, etc. Effects of variables on the quality of manufactured products. Process and parameter selection. Important physical mechanisms in manufacturing process. Prerequisite: An undergraduate course in manufacturing processes or instructor consent.

**Lecture:**3

**Lab:**0

**Credits:**3

**Computer-Integrated Manufacturing Technologies**

The use of computer systems in planning and controlling the manufacturing process including product design, production planning, production control, production processes, quality control, production equipment and plant facilities.

**Lecture:**3

**Lab:**0

**Credits:**3

**Optimal State Estimation**

Probability and random variables. Stochastic dynamic systems. Kalman filters, information forms, and smoothers. Covariance analysis. Bayesian, adaptive, and nonlinear estimation. Detection theory. Applications to guidance, navigation, and control systems.

**Prerequisite(s):**MMAE 501*, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Experimental Mechatronics**

Team-based project. Microprocessor controlled electromechanical systems. Sensor and actuator integration. Basic analog and digital circuit design. Limited Enrollment.

**Prerequisite(s):**MMAE 443

**Lecture:**2

**Lab:**3

**Credits:**3

**Introduction to the Space Environment**

Overview of the space environment, particularly Earth's ionosphere, magnetosphere, and interplanetary space. Effects of solar activity on geospace variability. Basic plasma characteristics. Single particle motions. Waves in magnetized plasmas. Charged particle trapping in planetary magnetic fields and its importance in near-earth-space phenomena. Macroscopic equations for a conducting fluid. Ground and space-based remote sensing and in situ measurement techniques. Space weather effects on human-made systems. Students must have already taken undergraduate courses in electromagnetics and in fluid mechanics.

**Lecture:**3

**Lab:**0

**Credits:**3

**Electrical, Magnetic and Optical Properties of Materials**

Electronic structure of solids. Conductors, semiconductors, dielectrics, superconductors. Ferroelectric and piezoelectric materials. Magnetic properties, magnetocrystalline, anisotropy, magnetic materials and devices. Optical properties and their applications.

**Lecture:**3

**Lab:**0

**Credits:**3

**Introduction to Navigation Systems**

Fundamental concepts of positioning and dead reckoning. Principles of modern satellite-based navigation systems, including GPS, GLONASS, and Galileo. Differential GPS (DGPS) and augmentation systems. Carrier phase positioning and cycle ambiguity resolution algorithms. Autonomous integrity monitoring. Introduction to optimal estimation, Kalman filters, and covariance analysis. Inertial sensors and integrated navigation systems.

**Prerequisite(s):**MMAE 501* and MMAE 443, An asterisk (*) designates a course which may be taken concurrently.

**Lecture:**3

**Lab:**0

**Credits:**3

**Computer-Integrated Manufacturing Systems**

Advanced topics in Computer-Integrated Manufacturing, including control systems, group technology, cellular manufacturing, flexible manufacturing systems, automated inspection, lean production, Just-In-Time production, and agile manufacturing systems.

**Lecture:**3

**Lab:**0

**Credits:**3

**Statistical Quality and Process Control**

Basic theory, methods and techniques of on-line, feedback quality control systems for variable and attribute characteristics. Methods for improving the parameters of the production, diagnosis, and adjustment processes so that quality loss is minimized. Same as CHE 560.

**Lecture:**3

**Lab:**0

**Credits:**3

**Solidification and Crystal Growth**

Properties of melts and solids. Thermodynamic and heat transfer concepts. Single and poly-phase alloys. Macro and micro segregation. Plane-front solidification. Solute boundary layers. Constitutional supercooling. Convection in freezing melts. Effective segregation coefficients. Zone freezing and purification. Single crystal growth technology. Czochralski, Kyropulous, Bridgman, and Floating Zone methods. Control of melt convection and crystal composition. Equipment. Process control and modeling. Laboratory demonstration. Prerequisite: A background in crystal structure and thermodynamics.

**Lecture:**3

**Lab:**0

**Credits:**3

**Design of Modern Alloys**

Phase rule, multicomponent equilibrium diagrams, determination of phase equilibria, parameters of alloy development, prediction of structure and properties. Prerequisite: A background in phase diagrams and thermodynamics.

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Mechanical Metallurgy**

Analysis of the general state of stress and strain in solids. Analysis of elasticity and fracture, with a major emphasis on the relationship between properties and structure. Isotropic and anisotropic yield criteria. Testing and forming techniques related to creep and superplasticity. Deformation mechanism maps. Fracture mechanics topics related to testing and prediction of service performance. Static loading to onset of rapid fracture, environmentally assisted cracking fatigue, and corrosion fatigue. Prerequisite: A background in mechanical properties.

**Lecture:**3

**Lab:**0

**Credits:**3

**Dislocations and Strengthening Mechanisms**

Basic characteristics of dislocations in crystalline materials. Dislocations and slip phenomena. Application of dislocation theory to strengthening mechanisms. Strain hardening. Solid solution and particle strengthening. Dislocations and grain boundaries. Grain size strengthening. Creep. Fatigue. Prerequisite: Background in materials analysis.

**Lecture:**3

**Lab:**0

**Credits:**3

**Materials Laboratory**

Advanced synthesis projects studying microstructure and properties of a series of binary and ternary alloys. Gain hands-on knowledge of materials processing and advanced materials characterization through an integrated series of experiments to develop understanding of the processing-microstructure-properties relationship. Students arc melt a series of alloys, examine the cast microstructures as a function of composition using optical and electron microscopy, DTA, EDS, and XRD. The alloys are treated in different thermal and mechanical processes. The microstructural and mechanical properties modification and changes during these processes are characterized. Groups of students will be assigned different alloy systems, and each group will present their results orally to the class and the final presentation to the whole materials science and engineering group.

**Lecture:**1

**Lab:**6

**Credits:**3

**Problems in High-Temperature Materials**

Temperature-dependent mechanical properties. Creep mechanisms. Basic concepts in designing in high-temperature materials. Metallurgy of basic alloy systems. Surface stability. High-temperature oxidation. Hot corrosion. Coatings and protection. Elements of process metallurgy.Prerequisite: Background in mechanical properties, crystal defects, and thermodynamics.

**Prerequisite(s):**MMAE 564

**Lecture:**3

**Lab:**0

**Credits:**3

**Fracture Mechanisms**

Basic mechanisms of fracture and embrittlement of metals. Crack initiation and propagation by cleavage, microvoid coalescence, and fatigue mechanisms. Hydrogen embrittlement, stress corrosion cracking and liquid metal embrittlement. Temper brittleness and related topics.Prerequisite: Background in crystal structure, defects, and mechanical properties.

**Lecture:**3

**Lab:**0

**Credits:**3

**Diffusion**

Theory, techniques and interpretation of diffusion studies in metals. Prerequisite: Background in crystal structures, defects, and thermodynamics.

**Lecture:**2

**Lab:**0

**Credits:**2

**Advanced Physical Metallurgy**

Thermodynamics and kinetics of phase transformations, theory of nucleation and growth, metastability, phase diagrams.Prerequisite: Background in phase diagrams and thermodynamics.

**Lecture:**3

**Lab:**0

**Credits:**3

**Computational Methods in Materials Science and Engineering**

Advanced theories and computational methods used to understand and predict material properties. This course will introduce energy models from classical and first-principles approaches, density functional theory, molecular dynamics, thermodynamic modeling, Monte Carlo simulations, and data mining in materials science. The course will also include case studies of computational materials research (e.g. alloy design, energy storage, nanoscale properties). The course consists of both lectures and computer labs. Background in thermodynamics is required.

**Lecture:**3

**Lab:**0

**Credits:**3

**Materials and Process Selection**

Context of selection; decision analysis; demand, materials and processing profiles; design criteria; selection schemes; value and performance oriented selection; case studies.

**Lecture:**3

**Lab:**0

**Credits:**3

**Fiber Composites**

Basic concepts and definitions. Current and potential applications of composite materials. Fibers, Matrices, and overview of manufacturing processes for composites. Review of elasticity of anisotropic solids and transformation of stiffness/compliance matrices. Micromechanics: methods for determining mechanical properties of heterogeneous materials. Macromechanics: ply analysis, off-axis stiffness, description of laminates, laminated plate theories, special types of laminates. Applications of concepts to the design of simple composite structural components. Failure theories, hydrothermal effects.Prerequisite: Background in polymer synthesis and properties.

**Lecture:**3

**Lab:**0

**Credits:**3

**Advanced Materials Processing**

Processing science and fundamentals in making advanced materials, particularly nanomaterials and composites. Applications of the processing science to various processing technologies including severe plastic deformation, melt infiltration, sintering, co-precipitation, sol-gel process, aerosol synthesis, plasma spraying, vapor-liquid-solid growth, chemical vapor deposition, physical vapor deposition, atomic layer deposition, and lithography.

**Lecture:**3

**Lab:**0

**Credits:**3

**Engineering Optics and Laser-Based Manufacturing**

Fundamentals of geometrical and physical optics as related to problems in engineering design and research; fundamentals of laser-material interactions and laser-based manufacturing processes. This is a lecture-dominated class with around three experiments organized to improve students' understanding of the lectures. The topics covered include: geometrical optics (law of reflection and refraction, matrix method, etc.); physical optics (wave equations, interference, polarization, Fresnel equations, etc.); optical properties of materials and Drude theory; laser fundamentals; laser-matter interactions and laser-induced thermal and mechanical effects, laser applications in manufacturing (such as laser hardening, machining, sintering, shock peening, and welding). Knowledge of Heat & Mass Transfer required.

**Lecture:**3

**Lab:**0

**Credits:**3

**Applications in Reliability Engineering I**

This first part of a two-course sequence focuses on the primary building blocks that enable an engineer to effectively communicate and contribute as a part of a reliability engineering effort. Students develop an understanding of the long term and intermediate goals of a reliability program and acquire the necessary knowledge and tools to meet these goals. The concepts of both probabilistic and deterministic design are presented, along with the necessary supporting understanding that enables engineers to make design trade-offs that achieve a positive impact on the design process. Strengthening their ability to contribute in a cross functional environment, students gain insight that helps them understand the reliability engineering implications associated with a given design objective, and the customer's expectations associated with the individual product or product platforms that integrate the design. These expectations are transformed into metrics against which the design can be measured. A group project focuses on selecting a system, developing a flexible reliability model, and applying assessment techniques that suggest options for improving the design of the system.

**Lecture:**3

**Lab:**0

**Credits:**3

**Applications in Reliability Engineering II**

This is the second part of a two-course sequence emphasizing the importance of positively impacting reliability during the design phase and the implications of not making reliability an integrated engineering function. Much of the subject matter is designed to allow the students to understand the risks associated with a design and provide the insight to reduce these risks to an acceptable level. The student gains an understanding of the methods available to measure reliability metrics and develops an appreciation for the impact manufacturing can have on product performance if careful attention is not paid to the influencing factors early in the development process. The discipline of software reliability is introduced, as well as the influence that maintainability has on performance reliability. The sequence culminates in an exhaustive review of the lesson plans in a way that empowers practicing or future engineers to implement their acquired knowledge in a variety of functional environments, organizations and industries. The group project for this class is a continuation of the previous course, with an emphasis on applying the tools and techniques introduced during this second of two courses.

**Lecture:**3

**Lab:**0

**Credits:**3

**Research and Thesis M.S.**

**Credit:**Variable

**MMAE Seminar**

Reports on current research. Full-time graduate students in the department are expected to register and attend.

**Lecture:**1

**Lab:**0

**Credits:**0

**Project for Master of Engineering Students**

Design projects for the master of mechanical and aerospace engineering, master of materials engineering, and master of manufacturing engineering degrees.

**Credit:**Variable

**Special Topics**

Advanced topic in the fields of mechanics, mechanical and aerospace, metallurgical and materials, and manufacturing engineering in which there is special student and staff interest. (Variable credit)

**Credit:**Variable

**Continuance of Residence**

**Lecture:**0

**Lab:**1

**Credits:**1

**Research and Thesis Ph.D.**

**Credit:**Variable

**Introduction to Finite Element Analysis**

This course provides a comprehensive overview of the theory and practice of the finite element method by combining lectures with selected laboratory experiences . Lectures cover the fundamentals of linear finite element analysis, with special emphasis on problems in solid mechanics and heat transfer. Topics include the direct stiffness method, the Galerkin method, isoperimetric finite elements, equation solvers, bandwidth of linear algebraic equations and other computational issues. Lab sessions provide experience in solving practical engineering problems using commercial finite element software. Special emphasis is given to mesh design and results interpretation using commercially available pre- and post-processing software.

**Lecture:**2

**Lab:**0

**Credits:**2

**Computer Aided Design with Pro Engineer**

This course provides an introduction to Computer-Aided Design and an associated finite element analysis technique. A series of exercises and instruction in Pro/ENGINEER will be completed. The operation of Mecanica (the associated FEM package) will also be introduced. Previous experience with CAD and FEA will definitely speed learning, but is not essential.

**Lecture:**2

**Lab:**0

**Credits:**2

**High-Temperature Structural Materials**

Creep mechanisms and resistance. The use of deformation mechanisms maps in alloy design. Physical and mechanical metallurgy of high-temperature, structural materials currently in use. Surface stability: High-temperature oxidation, hot corrosion, protective coatings. Alternative materials of the 21st century. Elements of process metallurgy.

**Lecture:**2

**Lab:**0

**Credits:**2

**Overview of Reliability Engineering**

This course covers the role of reliability in robust product design. It dwells upon typical failure mode investigation and develops strategies to design them out of the product. Topics addressed include reliability concepts, systems reliability, modeling techniques, and system availability predications. Case studies are presented to illustrate the cost-benefits due to pro-active reliability input to systems design, manufacturing and testing.

**Lecture:**2

**Lab:**0

**Credits:**2

**Dynamic and Nonlinear Finite Element Analysis**

Provides a comprehensive understanding of the theory and practice of advanced finite element procedures. The course combines lectures on dynamic and nonlinear finite element analysis with selected computer labs. The lectures cover implicit and explicit time integration techniques, stability of integration algorithms, treatment of material and geometric nonlinearity, and solution techniques for nonlinear finite element equations. The computer labs train student to solve practical engineering problems in solid mechanics and heat transfer using ABQUS and Hypermesh. Special emphasis is placed on proper time step and convergence tolerance selection, mesh design, and results interpretation. A full set of course notes will be provided to class participants as well as a CD-ROM containing course notes, written exercises, computer labs, and all worked out examples.

**Prerequisite(s):**MMAE 704

**Lecture:**2

**Lab:**0

**Credits:**2

**Engineering Economic Analysis**

Introduction to the concepts of Engineering Economic Analysis, also known as micro-economics. Topics include equivalence, the time value of money, selecting between alternative, rate of return analysis, compound interest, inflation, depreciation, and estimating economic life of an asset.

**Lecture:**2

**Lab:**0

**Credits:**2

**Project Management**

This course will cover the basic theory and practice of project management from a practical viewpoint. Topics will include project management concepts, recourses, duration vs. effort, project planning and initiation, progress tracking methods, CPM and PERT, reporting methods, replanning, team project concepts, and managing multiple projects. Microsoft Project software will be used extensively.

**Lecture:**2

**Lab:**0

**Credits:**2

**Introduction to Acoustics**

This short course provides a brief introduction to the fundamentals of acoustics and the application to product noise prediction and reduction. The first part focuses on fundamentals of acoustics and noise generation. The second part of the course focuses on applied noise control.

**Lecture:**2

**Lab:**0

**Credits:**2