# Courses

**AME 60611 - Mathematical Methods I**

* Prerequisites: None*Multidimensional calculus, linear analysis, linear operators, vector algebra, ordinary differential equations. (Every fall)

**AME 60612 - Introduction to Mathematical Methods II**

**Prerequisites**: AME 60611

Partial differential equations, characteristics, separation of variables, similarity and transform solutions, complex variable theory, singular integral equations, integral transforms. (Every spring)

**AME 60613 - Finite Elements in Engineering**

Fundamental aspects of the finite-element method are developed and applied to the solution of PDEs encountered in science and engineering. Solution strategies for parabolic, elliptic, and hyperbolic equations are explored. (Spring)

**AME 60614 - Numerical Methods**

* Prerequisites: None*Interpolation, differentiation, integration, initial value and boundary value problems for ordinary differential equations; solution methods for parabolic, hyperbolic, and elliptic partial differential equations; applications to classical and current research problems in engineering and science. (Every fall)

### AME 60619 - Verification and Validation in Computational Science and Engineering

**Prerequisites**: Basic computational methods for partial differential equations

This entry-level graduate course provides a comprehensive treatment of modern methodologies for Verification and Validation of computational simulations based on numerical solutions of nonlinear partial differential equations. Example applications are drawn from fluid dynamics, heat transfer, aerodynamics, ocean modeling, groundwater flow, radionuclide transport, detonation and others. Consideration is givento V&V aspects of structured, unstructured, and solution-adaptive meshes. The methods endorsed in recent ANSI Standard Documents (ASME V&V 10, V&V 20) will be thoroughly presented and areas of current research will be described.

**AME 60621 - Introduction to Aeroelasticity**

**Prerequisites**: None

Aerodynamic loadings, steady state aeroelastic problems, flutter analysis under various flow conditions, analytical methods in aeroelasticity demonstrated by selected problems.

**AME 60622 - Structural Dynamics**

Examines problems in the vibration of continuous linear elastic structures, including strings, rods, beams, membranes and plates; Hamilton's principle; solution by separation of variables, integral equation and transform methods; variational methods of approximation including the finite element method; computational methods. (As needed)

**AME 60623 - Analytical Dynamics**

**Prerequisites**: None

Fundamental principles and analytical methods in dynamics with applications to machine design, robot analysis, and spacecraft control.

**AME 60624 - Continuum Mechanics**

**Prerequisites**: None

Deformation and motion of continua and singular surfaces; general balance equations; stress principle; balance laws for mass, momentum, and energy; thermodynamics of continua; entropy balance; constitutive relationships; material symmetry and invariance theory; linear and nonlinear constitutive models; variational foundations; topics of special interest. (Alternate years)

**AME 60630 - Microparticle Dynamics**

**Prerequisites**: None

A first-year graduate level course that introduces the subject of aerosol dynamics with emphasis on the fundamental laws that govern microparticle transport deposition and suspension in gases and vacuum.

**AME 60631 - Experimental Methods in Fluid Dynamics**

**Prerequisites**: None

A graduate course designed to give students laboratory experience in the use of modern measurements and the design of experiments for specific problems. (Every fall)

**AME 60632 - Physical Gas Dynamics**

An introduction to quantum mechanics, internal structure, and quantum energy states of monatomic and diatomic gases. Application to chemical reactions, dissociating gases, and ionized gases. High temperature properties of air. (Alternate spring semesters)

**AME 60633 - Introduction to Acoustics and Noise**

**Prerequisites**: None

A course that treats the fundamentals of sound and noise production, transmission, and measurement. Theoretical, experimental, environmental, and legislative topics. (Alternate years)

**AME 60634 - Intermediate Heat Transfer**

**Prerequisites**: None

Fundamentals of heat convection and radiation, scaling and heat transfer analysis in external and internal flows, turbulent heat transfer, thermal radiation properties of ideal and real surfaces, radiative transfer in black and gray enclosures, introduction to radiative transfer with participating media. (Every spring)

**AME 60635 - Intermediate Fluid Mechanics**

**Prerequisites**: None

Derivation of governing equations of mass, momentum, and energy for a viscous, compressible fluid; general survey of vortex dynamics, potential flow, viscous flow, and compressible flow.

**AME 60636 - Combustion**

**Prerequisite**: AME 30334

Thermodynamics and chemical kinetics of combustion reactions, modeling of reacting fluid mechanical systems, subsonic and supersonic combustion, detailed and on-step kinetics, ignition theory, asymptotic and numerical techniques for modeling combustion systsms.

### AME 60637 - Ionization and Ion Transport

**Prerequisites**: None

This course will cover the fundamentals of gaseous ionization and gas discharges including basic ionization phenomena from breakdown to plasma formation and basic plasma properties. The course will focus on low-temperature, non-equilibrium plasma generation (glow discharges, corona discharges, dielectric barrier discharges) and discuss new applications and directions including microplasma generation.

**AME 60638 - Turbo Engine Components**

**Prerequisites**: AME40431

The course concentrates on describing the hardware used in modern turbofan engines and presents the detailed analysis of these components. In particular, the course covers the analysis of inlets, fans, compressors, combustors, turbines, afterburners and nozzles. In addition to the analysis, the course introduces design guidelines used by industry. This course describes why, for example, the swirl pattern in fans and compressors are the way they are by design. Most of the relevant concepts, terms and associated analysis related to turbine engine design are introduced.

**AME 60639 - Advanced Aerodynamics**

**Prerequisites**: None

A graduate level course that addresses various topics related to aerodynamics with application to surface or flight vehicles.

**AME 60641 - Advanced Mechanics of Solids**

**Prerequisites**: AME 20043 or AME 20241 or CE 20170

The course covers fundamental principles and techniques in stress analysis of trusses, beams, rigid frames, and thin-walled structures. Emphasis is placed on energy methods associated with calculus of variations.

**AME 60642 - Manufacturing Systems**

**Prerequisites**: AME 50542

A graduate course dealing with the application of engineering analysis to manufacturing systems and advanced manufacturing topics such as MEMS manufacture and computer integrated manufacturing.

**AME 60643 - Mechanics of Sliding Surfaces**

**Prerequisites**: None

A first-year graduate course that introduces the subject of the mechanics of surfaces in contact, with emphasis on the fundamental analysis of surface topography, contact mechanics, friction and frictional heating and wear.

**AME 60644 - Finite Element Methods in Structural Mechanics**

Finite element methods for static and dynamic analysis of structural and continuum systems. Displacement approach for two- and three-dimensional solids along with beams, plates and shells. Material and geometric nonlinearities. (As needed)

**AME 60645 - Mechanical Behavior of Materials**

**Prerequisites**: None

The materials science and engineering of the mechanics of solids. Description of the relationships between the macrosopic deformation of engineering materials and the meso-, micro- and atomic-level structural mechanisms.

**AME 60646 - Failure of Materials**

**Prerequisites**: AME 20241 and CBE 30631

The materials science and engineering of failure, including fracture and fatigue. Description of the relationships between the failure of engineering materials and the meso-, micro-, and atomic-level structural mechanisms.

### AME 60647 - Powder Processing of Materials

**Prerequisites**: None

The science of processes for the production, consolidation and densification of powders, including the characterization of powders, colloidal suspensions and powder compacts.

### AME 60649 - Molecular Level Modeling for Engineering Applications

**Prerequisites**: None

This graduate level course is intended for engineering graduate students with interests in the simulation of materials and studying their properties at the molecular level using different atomistic simulations techniques. This course will introduce basics of statistical thermodynamics and classical Monte Carlo and molecular dynamics simulations. With the fundamentals, students will learn how to use the knowledge and techniques to study engineering problems such as mass diffusion and heat transfer. It will also emphasize hands-on exercises in which student will use these techniques to model different materials including gas, liquid, solid, the phase transition among these different phases. Structural, flow and thermal properties of materials will also be studied. Students will be required to program their own code for small projects and will be using open source software, such as LAMMPS, for larger projects.

**AME 60651 - Advanced Vehicle Dynamics**

**Prerequisites**: None

The equations of motion of rigid airplane are developed and analyzed. The relationship between aerodynamics stability derivatives, vehicle motion, and handling qualities is presented. Also classical and modern control theory is applied to the design of automatic flight control systems. (Alternate years)

**AME 60654 - Advanced Kinematics**

**Prerequisites**: None

An in-depth study of the curvature theory of general planar one degree of freedom motion and the special case of first-order translations. Development of Fruedenstein's equation. Applications to synthesis of one degree of freedom mechanisms for path tracking, rigid body guidance and function generation. (Every Spring)

**AME 60655 - Intelligent Systems**

**Prerequisites**: None

This course will introduce seniors to a unified view of the aerospace and mechanical engineering applications of intelligent systems theory and practice.

**AME 60656 - Vision-Based Control of Engineering Systems**

**Prerequisites**: AME 50551

A study of tools of estimation and stochastic modeling and their use in the application of artificial vision to the guidance and control of multi-degree-of-freedom mechanisms. The Kalman filter and extended Kalman filter are developed; state and observation equations, based, respectively, on robot mechanisms and discrete visual issues of image analysis, time delay, and the modeling of random-disturbance convariances as well as kinematic holonomy.

**AME 60661 - Optimum Design**

**Prerequisites**: None

Introduction to basic optimization techniques for mechanical design problems. Current applications. Spring

**AME 60662 - Topology Optimization**

**Prerequisites**: None

This course is designed to teach advance computational methods for design optimization of structures, material microstructures and compliant mechanisms.

### AME 60663 - Introduction to Acoustics & Noise

**Prerequisites**: None

A course that treats the fundamentals of sound and noise production, transmission, and measurement. Theoretical, experimental, environmental, and legislative topics. (Alternate years).

**AME 60671 - Orthopaedic Biomechanics**

**Prerequisites**: None

An introduction to the biomechanics of the musculoskeletal system. Kinematics and dynamics of the skeleton. Calculation of inter-segmental forces, muscle forces, and activation levels. Mechanical behavior of typical orthopaedic tissues using appropriate engineering models. Mechanical adaptability of the skeleton to mechanical loads. Applications to the design of arthopaedic devices.

**AME 60672 - Cell Mechanics**

**Prerequisites**: None

The effects of mechanical loading on cells are examined. Mechanical properties and material structure of cell materials are reviewed. Filaments, filament networks and membranes are examined. Mechanics of flow induced effects, adhesion cell-substrate interactions, and signal transduction are examined. Experimental techniques are reviewed.

**AME 60673 - Kinematics of Human Motion**

**Prerequisites**: None

To teach students the motion capabilities of the human body and to develop and study kinematic models of the individual joints in the human body. Both simply rotational models and more advanced three dimensional models will be developed for the individual joints.

### AME 60675 - Cardiovascular Biofluid Mechanics

**Prerequisites**: None

This graduate-level course describes the intricate relations between the fluid mechanics and biomedical aspects of the cardiovascular system. Topics include cardiovascular physiology, blood rheology, human circulation biomechanics and fluid mechanics, biofluid mechanics modeling, and measurement techniques.

### AME 60676 - Biofluid and Bioheat Transfer

**Prerequisites**: AME 30331 and AME 30334

This graduate-/senior-level course describes the intricate relations between fluid mechanics and heat transfer processes in biomedical applications with a specific focus on the cardiovascular system. Topics include cardiovascular physiology, biofluids rheology, conservation laws, macro-/micro-circulation, diffusive processes, Pennes heat equation, measurement techniques and multiphysics modeling.

### AME 60690 - Wave Propogation in Solid Media

**Prerequisites**: AME 30314 and AME 30315

Analysis of theoretical and numerical aspects related to the propagation of waves in elastic media. The course will cover topics such as propagation in infinite and half spaces, layered materials, Lamb guided waves and wave guides, wave scattering and diffraction, basic concepts of nonlinear waves.

### AME 60730 - Complex Fluids and Multiphase Flows

**Prerequisites**: None

This course intends to cover different aspects of multiphase flows of Newtonian and non-Newtonian fluids, including particle interaction in viscous and viscoelastic liquids, jetting of complex fluids, and natural biolocomotion in fluids.

**AME 60741 - Computational Nonlinear Solid Mechanics**

**Prerequisites**: None

Theoretical foundations of material and geometrical nonlinearity, its numerical formulation and implementation. Among topics covered are nonlinear continuum mechanics, finite-strain inelasticity theory, objective integration/return mapping algorithms, the variational setting of boundary value problems, and discretization by finite element methods. Solution strategies for nonlinear parabolic, elliptic, and hyperbolic equations in the context of solid mechanics are also explored. The course will be of interest to graduate students in various branches of engineering and science, especially aeronautical and mechanical, civil, and applied mathematics. Useful prior courses include AME 60641 - Advanced Mechanics of Solids AME 60611 - Mathematical Methods I AME 60614 - Numerical Methods CE 60130 - Finite Elements in Engineering

**AME 63999 - Graduate Seminar**

Required for all department graduate students. Discussion of current topics in research and engineering by guest lecturers and staff members. (Every semester)

**AME 67060 - Advance Topics in Optimization**

An introduction to the kinematic geometry of human motion and the kinematics of individual human joints.

**AME 67XXX - Special Studies**

Individual or small group study under the direction of a faculty member in a graduate subject not currently covered by any University course. (As needed)

**AME 67663 - Advanced MEME Project**

Advanced project for ME/ME degree

### AME 67890 - Independent Summer Research

This course is for graduate students receiving a summer stipend and conducting independent research. Registering for this course will ensure proper classification for tax purposes. Only those students both actively engaged in research and receiving a stipend are eligible for this course.

**AME 68691 - Thesis Direction**

This course is reserved for the six-credit-hour thesis requirement of the research master's degree. (Every semester)

**AME 68697 - Nonresident Thesis Research**

For master's degree students. (As needed)

### AME 70713 - Level Set Methods

**Prerequisites**: None

This course will introduce the notion of a level set as a tool for representing interfaces. Appropriate numerical techniques for the resulting wave dynamics will be presented. Applications of level set techniques from acoustics, optimal robotic path planning, multi-component fluid dynamics and other areas will be explored.

### AME 71108 - Tissue Engineering Lab

**Corequisites**: 77108

This course will cover topics related to the design and evaluation of bioengineered tissue substitutes, with a focus on orthopaedic tissues. The lecture material will cover cells, cell and tissue culture, biomaterials, control of tissue development in vitro, transplantation and immunomodulatioin, quantitative aspects of tissue engineering, and applications. Research described in current journal articles will be studied.

### AME 76670 - Orthopedic Implant Technology

**Prerequisites**: None

Course will involve a review of the theory, technology and tooling in actual implant systems, including options, design features, etc. Hips, knees, ankles, elbows, shoulders, spine fixation, spine disk replacement, fracture, tooling. Specialty implants, oncology, cartilage, fingers, dental, all will be covered.

### AME 77103 - Geometric and Physical Optics

**Prerequisites**: None

Introductory course studies wave equation; presents Huygen's principle, ray tracing, matrix propagation and phyical optics.

### AME 77104 - Aeroacoustics - Theory and Computations

**Prerequisites**: None

An overview of aeroacoustic theories and computational approaches; physical mechanisms and mathematical modeling of sound generation and flow-sound interaction; advanced turbulence simulation techniques (DNS, LES, unsteady RANS) for evaluating nonlinear sound sources; accurate numerical methods and boundary conditions for direct computation of sound generation and propagation.

### AME 77108 - Tissue Engineering

**Corequisites**: AME 71108

This course will cover topics related to the design and evaluation of bioengineered tissue substitutes, with a focus on orthopaedic tissues. The lecture material will cover cells, cell and tissue culture, biomaterials, control of tissue development in vitro, transplantation and immunomodulatioin, quantitative aspects of tissue engineering, and applications. Research described in current journal articles will be studied.

### AME 90903 - Fluid Film Lubrication

**Prerequisites**: None

Covers the regimes of lubrication and application of Reynolds equation to common tribological problems including bearings, gears and cams, as well as nanoscale lubrication problems and biotribology. Elastohydrodynamic and unsteady lubrication are also covered.

**AME 90921 - Spatial Kinematics**

A study of the finite and instantaneous kinematics of rigid body systems including closed and open loop systems with up to five degrees-of-freedom. Position analysis via coordinate transformations. Development of Screw Theory with applications to dimensional synthesis of mechanisms and path tracking control of manipulators.

**AME 90931 - Viscous Flow Theory I**

**Prerequisites**: AME 60635

Properties and solutions of the Navier-Stokes equations, high and low Reynolds number approximations for steady and unsteady flows. (Every spring)

**AME 90932 - Flow Control**

Passive, active and reactive flow management strategies to achieve transition delay/advance, separation control, mixing augmentation, drag reduction, lift enhancement, and noise suppression.

**AME 90933 - Dynamics of Compressible Flow**

Theoretical gas dynamics, including properties of compressible real fluids and fundamental relations for subsonic and supersonic flows. (As needed)

**AME 90934 - Unsteady Aerodynamics and Aeroacoustics**

**Prerequisites**: None

Unsteady flows, unsteady aerodynamics of airfoils, cascades, and finite wings, acoustics in moving media, aerodynamic sound, Lighthill's analogy, far field conditions, Kirchhoff's method, numerical methods in aeroacoustics. (Alternate fall semesters)

**AME 90935 - Turbulence**

**Prerequisites**: None

Experimental facts, measurements, theory, correlations, simple approximations. Homogeneous turbulence, spectra, direct interaction, numerical models, theory of Kraichnan, meteorology, diffusion. (Alternate spring semesters)

**AME 90936 - Computational Fluid Mechanics**

**Prerequisites**: AME 60614 and AME 60635

Generalized coordinate transformation, grid generation, and computational methods for inviscid flow, viscous incompressible flow, and viscous compressible flow. (Alternate years)

**AME 90937 - Hydrodynamic Stability**

**Prerequisites**: AME 90931

Introduction of the major fundamental ideas, methods, and results of the theory of hydrodynamic stability. Examples of major applications are presented. (Alternate fall semesters)

**AME 90938 - Thermal Radiation**

Basic concepts and laws of thermal radiation. Radiative properties of gases and surfaces. Radiative exchange between surfaces. Gaseous radiation interaction. (Alternate fall semesters)

**AME 90939 - Thermal Convection**

**Prerequisites**: AME 90931

Forced convection in ducts; Graetz solution and extensions; free or forced flow boundary layer heat transfer; turbulent heat transfer; combined forced and free convection; heat transfer including phase change. (Alternate fall semesters)

**AME 90941 - Advanced Topics in Solid Mechanics**

Topics in solid mechanics normally not covered in elementary graduate courses. Topics covered may vary. (As needed)

**AME 90942 - Stability Theory of Structural Systems**

The general principle of stability of structural systems. Euler buckling and post-buckling behavior of discrete and continuous systems are presented. (As needed)

**AME 90943 - Fluid Film Lubrication**

**Prerequisites**: None

Covers the regimes of lubrication and application of Reynolds equation to common tribological problems including bearings, gears and cams, as well as nanoscale lubrication problems and biotribology. Elastohydrodynamic and unsteady lubrication are also covered.

**AME 90944 - Elasticity**

**Prerequisites**: None

The fundamental theories and techniques in elasticity are covered. Variational methods and complex variable techniques are included, and applications are demonstrated by selected problems. (Every spring).

**AME 90951 - Geometric Nonlinear Control Theory**

**Prerequisites**: None

Review of state space linear dynamical control systems, basic Lyapunov theory, and bifurcation theory. Basic concepts and methods from differential geometry including manifolds, tangent spaces, vector fields, distributions, Frobenius' Theorem, and matrix groups and their application to nonlinear control including I/O and full state linearization via state feedback, controllability and observability, trajectory generation for nonlinear systems, and applications to stratified systems such as legged robotic locomotion and robotic manipulation.

### AME 90974 - Advanced Topics in Biomechanics

**Prerequisites**: AME 60624

The mechanical behavior of biological materials will be presented and developed using appropriate mathematical theories. Pertinent theoretical and mathematical descriptions of mechanical behavior of solids will be reviewed. Examples will be taken from the recent literature.

### AME 97099 - Special Studies

Content, credit, and instructor will be announced by the department. (As needed)

**AME 97949 - Metal Cutting Mechanics**

This course involves special studies in the field of metal cutting mechanics.

### AME 98200 - Dissertation Completion

This course is a required course for graduate students who have completed eight years of study.

**AME 989881 - Research and Dissertation**

Required for candidates for the advanced degree in the research program. (Every semester)

**AME 98998 - Nonresident Dissertation Research**

This course is reserved to provide the required continuing minimal registration of one credit hour per academic semester for nonresident graduate students who wish to retain their degree status. (As needed)