2021-2022 Catalog 
    
    Jun 26, 2024  
2021-2022 Catalog [ARCHIVED CATALOG]

Courses


 

Mathematics

  
  • MATH 6440 - Approximation Methods in Applied Mathematics

    3 Credits (Minimum) 3 Credits (Maximum)

    Approximate solutions of differential equations by asymptotic expansions, asymptotic expansion of integrals, regular and singular perturbation methods, boundary layer analysis, WKB methods, and multiple-scale techniques. Prer., MATH 5430/6430 and MATH 5610/6610. Graduate students only. Meets with MATH 5440.
  
  • MATH 6610 - Complex Analysis I

    3 Credits (Minimum) 3 Credits (Maximum)

    Complex numbers, Cauchy-Reimann equations, harmonic functions. Elementary functions and conformal mapping. Contour integrals, Cauchy integral representation. Uniform convergence and power series. Residues. Prer., MATH 4310/5310. Graduate students only. Meets with MATH 5610.
  
  • MATH 6620 - Complex Analysis II

    3 Credits (Minimum) 3 Credits (Maximum)

    Argument principle, Rouche’s Theorem. Homotopy and countour integrals. Compact sets of functions and uniform convergence. Conformal mappings and the Riemann Mapping Theorem. Infinite products, analytic continuation, special topics. Prer., MATH 5610/6610. Graduate students only. Meets with MATH 5620.
  
  • MATH 6680 - Scientific Computation II

    3 Credits (Minimum) 3 Credits (Maximum)

    Advanced numerical methods for solving linear and nonlinear partial differential equations, including spectral and pseudo-spectral methods. Iterative methods for solving large linear systems. Prer., MATH 4670 or MATH 5670. Graduate students only. Meets with MATH 5680.
  
  • MATH 6910 - Theory of Probability I

    3 Credits (Minimum) 3 Credits (Maximum)

    Measure theory is given form within a large body of probabilistic examples, ideas, and applications. Weak and strong laws of large numbers, central limit theory, and random walk in the context of independent random variables. Prer., MATH 4310. Graduate students only. Meets with MATH 5910.
  
  • MATH 6920 - Theory of Probability II

    3 Credits (Minimum) 3 Credits (Maximum)

    Probability theory for sequences of dependent random variables, with the major focus on martingale theory and its applications. Prer., MATH 5910/6910. Graduate students only. Meets with MATH 5920.
  
  • MATH 7000 - Masters Thesis

    1 Credits (Minimum) 6 Credits (Maximum)

    Masters Thesis
  
  • MATH 8000 - Ph.D Dissertation

    1 Credits (Minimum) 10 Credits (Maximum)

    Enrollment is limited to those students who are in the PhD program in Engineering, and have primary thesis advisor in the Department of Mathematics. Prer., Consent of instructor.
  
  • MATH 9000 - Fundamentals of Algebra

    2 Credits (Minimum) 2 Credits (Maximum)

    A review of basic algebra and arithmetic, including algebra of polynomials, factorization of simple polynomials, arithmetic operations on fractions and rational expressions, laws of exponents, linear equations and inequalities in one variable, quadratic equations using factoring. Administered through the Department of Mathematics. Pass/fail grading only. Does not count toward BA or BS degree.
  
  • MATH 9200 - Independent Study Math Undergraduate

    1 Credits (Minimum) 4 Credits (Maximum)

    Independent Study Math Undergraduate
  
  • MATH 9400 - Independent Study Math Undergraduate

    1 Credits (Minimum) 3 Credits (Maximum)

    Independent Study Math Undergraduate
  
  • MATH 9499 - Independent Study - Undergraduate Research

    1 Credits (Minimum) 3 Credits (Maximum)

    Provides an opportunity to conduct research with a faculty member, by one or more students. Prer., Consent of instructor required.
  
  • MATH 9500 - Independent Study Math, Graduate

    1 Credits (Minimum) 3 Credits (Maximum)

    Independent Study Math, Graduate
  
  • MATH 9990 - Candidate for Degree

    0 Credits (Minimum) 0 Credits (Maximum)

    Candidate for Degree

Mechanical and Aerospace Engineering

  
  • MAE 1005 - Introduction to Machine Shop

    3 Credits (Minimum) 3 Credits (Maximum)

    Provides a general introduction to machine shop safety, tools, and operations.
  
  • MAE 1090 - Introduction to Structured Programming

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduction to structured programming techniques required for solving mechanical and aerospace engineering problems. Emphasis is on computer programming logic through the use of flowcharts and programming exercises that incorporate logic operators, conditionals, branching statements, functions, and loops. This course will also cover matrix/array mathematics, basic input/output, plotting, and compiled executable programs. Coreq., MATH 1350.
  
  • MAE 1502 - Principles of Engineering

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduces the field of engineering. Explores various technology systems and manufacturing processes to demonstrate how engineers use math, science and technology in an engineering problem solving process. The course also includes an examination of social and political implications of technology. Prer., College of Engineering students only. Coreq., MATH 1050 or MATH 1060.
  
  • MAE 1503 - Introduction to Engineering Design

    3 Credits (Minimum) 3 Credits (Maximum)

    Problem-solving skills using a design development process. Models of product solutions are created, analyzed and communicated using computer-aided design software, including 2D orthographic projections and 3D isometric views, pictorial drawings, technical sketching, dimensioning, sectioning, working drawings, wireframe, and solid modeling. Prer., College of Engineering students only.
  
  • MAE 2007 - Introduction to Biology for Engineers

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduction to cellular and molecular biology for non-biology majors. Topics include structural and functional characteristics of cells, biochemistry and cellular metabolism, cell reproduction, genetics, gene control, cellular communication, genomics and proteomics. Prer., College of Engineering students only.
  
  • MAE 2055 - Mech-Etronics I

    4 Credits (Minimum) 4 Credits (Maximum)

    A variety of methods are introduced for the analysis of simple circuits under both DC and AC operating conditions. Course progresses to advanced topics such as filter circuits and amplifiers. Laboratory sessions introduce common test equipment and reinforce theory. Prer., MAE 1503, MATH 1350, PES 1120; coreq., MATH 1360. College of Engineering students only.
  
  • MAE 2103 - Statics

    3 Credits (Minimum) 3 Credits (Maximum)

    Force vectors, moments of force, equilibrium of a particle and rigid bodies, structural analysis and trusses, internal forces and shear, friction, center of gravity and mass, moments of inertia, and virtual work. Prer., MAE 1502, PES 1110; Coreq., MATH 2350; College of Engineering students only.
  
  • MAE 2104 - Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Kinematics and kinetics of particles, dynamics of systems of particles, dynamics of rigid bodies in two and three dimensions, free and forced vibrations with and without viscous damping. Prer., MAE 2103; Coreq., MATH 3400; College of Engineering students only.
  
  • MAE 2200 - Materials Engineering

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduction to engineering materials emphasizing metals and alloys and including ceramics and plastics. Principles behind material development, selection, and behavior are discussed with special emphasis on relevance to load-bearing applications. The relationship between microscopic characteristics and their effect on macroscopic properties will be explored. The lab component will involve metallurgical testing and analysis of common material processing techniques. Prer., CHEM 1401/1402 (formerly CHEM 1301 or CHEM 1030), MATH 1350, PES 1110. College of Engineering students only.
  
  • MAE 2301 - Engineering Thermodynamics I

    3 Credits (Minimum) 3 Credits (Maximum)

    First and second laws of thermodynamics. Properties, states, thermodynamic functions, entropy, and probability. Prer., MATH 1320 or MATH 1350; PES 1110; College of Engineering students only.
  
  • MAE 2302 - Applied Energy Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    An applications-based course introducing thermodynamics for non-engineering majors. Concepts are taught through exploration of energy systems such as solar, wind, geothermal, weather, etc. Considers political, economic, environmental, sustainability, and other aspects to energy systems. Emphasizes a basic scientific understanding of energy and global considerations of energy applications. Prer., PES 1000, MATH 1040; College of Engineering students only.
  
  • MAE 3005 - Engineering Measurement Laboratory

    3 Credits (Minimum) 3 Credits (Maximum)

    Fundamental measurement techniques and processes for a variety of physical systems, including force, displacement and acceleration, stress and strain, temperature, and pressure. Data analysis techniques and the use of software for data capture and analysis. Prer., MAE 2055, MATH 3400, and either MATH 3810 or ECE 3610. College of Engineering students only.
  
  • MAE 3130 - Fluid Mechanics

    4 Credits (Minimum) 4 Credits (Maximum)

    Continuums, velocity and stress fields. Viscous and inviscid flows, laminar and turbulent flows, compressible and incompressible flows, internal and external flows. Hydraulic systems, buoyancy and stability. Stream functions, Navier-Stokes Equations. Experiments in thermodynamics and fluid mechanics. Requires preparation of laboratory reports and presentation of results. Approved for Compass Curriculum requirement: Writing Intensive. Prer., MAE 2104, MAE 2301, MAE 3005, and ENGL 2090 or TCID 2090. College of Engineering students only.
  
  • MAE 3131 - Fluid Mechanics Laboratory

    1 Credits (Minimum) 1 Credits (Maximum)

    Laboratory experiments in thermodynamics and fluid mechanics. Requires preparation of laboratory reports and presentation of results. Prer., Graduate standing or consent of instructor. Prer., MAE 3005; coreq., MAE 3130; College of Engineering students only.
  
  • MAE 3201 - Mechanics of Materials

    3 Credits (Minimum) 3 Credits (Maximum)

    The theory and application of the fundamental principles of mechanics of materials, including stress, strain, mechanical properties of materials, axial load, torsion, bending, transverse shear, combined loadings, stress transformation, strain transformation, design of beams and shafts, deflections of beams and shafts, buckling of columns, and energy methods. Prer., MAE 2103, MATH 1360, MATH 3130. College of Engineering students only.
  
  • MAE 3302 - Engineering Thermodynamics II

    3 Credits (Minimum) 3 Credits (Maximum)

    Applications of classical thermodynamics including analysis of gas and vapor cycles for power production and refrigeration, thermodynamic property relationships, psychrometrics and combustion. Approved for Compass Curriculum requirement: Sustainability. Prer., MAE 2301, College of Engineering students only.
  
  • MAE 3311 - Heat Transfer Laboratory

    1 Credits (Minimum) 1 Credits (Maximum)

    Laboratory experiments in thermodynamics and heat transfer. Requires preparation of laboratory reports and presentation of results. Prer., MAE 3005; coreq., MAE 3310; College of Engineering students only.
  
  • MAE 3320 - Biomass Energy Analysis

    3 Credits (Minimum) 3 Credits (Maximum)

    Analyzes energy production from biomass resources. Explores the fundamentals of development, energy yield, economics, production, and processing methods for herbaceous, biological waste and woody crops. Technologies covered include combustion, gasification, pyrolysis, fermentation, and anaerobic digestion. Value-added bio-refining products are also examined along with the environmental impacts of biomass energy. Approved for Compass Curriculum requirement: Sustainability. Prer., MAE 2301, College of Engineering students only.
  
  • MAE 3342 - Engineering Economy

    3 Credits (Minimum) 3 Credits (Maximum)

    Economic decision-making, professional ethics, business records, net worth and profit and loss calculation, engineering law and contract agreements. Prer., Junior or Senior standing, College of Engineering students only.
  
  • MAE 3401 - Modeling and Simulation of Dynamic Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    Course presents basic concepts of dynamic behavior, and the analytic and computational techniques for predicting and assessing dynamic behavior. Modeling a basic system, compound system, dynamic stability and natural behavior and response to continuing and abrupt inputs are presented. Prer., MAE 1090, MAE 1503, MAE 2055, MAE 2104, MATH 3400. Coreq., MATH 3130. College of Engineering students only.
  
  • MAE 3501 - Machine Design I

    3 Credits (Minimum) 3 Credits (Maximum)

    Applied stress analysis and material strength theories for sizing and selecting materials of machine elements, failure and reliability. Selection of fasteners, bearings, gears, springs. Prer., MAE 2104, MAE 3201; College of Engineering students only.
  
  • MAE 4000 - Mechanical and Aerospace Engineering Seminar

    1 Credits (Minimum) 1 Credits (Maximum)

    This course is designed to expose undergraduate students to a wide range of mechanical and aerospace engineering topics, ranging from advanced research topics to student success topics such as technical writing and engineering ethics. The seminar will involve guest speakers from industry, government, and academic institutions discussing topics of interest to undergraduate engineering students. Prer., Junior or Senior standing, College of Engineering students only. Meets with ENGR 4000.
  
  • MAE 4020 - Numerical Methods with MATLAB

    3 Credits (Minimum) 3 Credits (Maximum)

    An introduction to applied numerical methods for engineering problem solving using MATLAB. Topics covered include root finding, optimization, solution of linear systems of equations, curve fitting, numerical integration and differentiation, and numerical solution of ordinary differential equations. Prer., MATH 3130, MATH 3400; College of Engineering students only.. Meets with MAE 5020.
  
  • MAE 4021 - Numerical Methods with MATLAB for Aerospace Engineering

    3 Credits (Minimum) 3 Credits (Maximum)

    An introduction to applied numerical methods for aerospace engineering problem solving using MATLAB. Topics covered include root finding, optimization, solution of linear systems of equations, curve fitting, numerical integration and differentiation, and numerical solution of ODEs. Prer., MATH 3130, MATH 3400. College of Engineering students only. Meets with MAE 4020.
  
  • MAE 4055 - Advanced Mechetronics

    3 Credits (Minimum) 3 Credits (Maximum)

    A technical elective covering topics to include RLC, Sallen-Key, and Butterworth filters. Additionally, introductory robotics, including forward and inverse kinematics, manipulator dynamics, image and signal processing, and trajectory planning, are discussed. Prer., MAE 2055, MAE 3005.
  
  • MAE 4120 - Machine Design II

    3 Credits (Minimum) 3 Credits (Maximum)

    Kinematic theory of planar mechanisms; position, velocity and acceleration analysis, coupler curves, centrodes, analysis and synthesis of 4 bar linkage, engine dynamics. Prer., MAE 3501, MATH 3130; College of Engineering students only.
  
  • MAE 4130 - Intermediate Fluid Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Building off the concepts covered in Fluid Mechanics, introduces new topics including ideal fluid flow, viscous flow, and turbulence. Additionally, provides more in-depth examination of compressible flow and boundary layer theory. Prer., MAE 3130, College of Engineering students only.
  
  • MAE 4131 - Computational Fluid Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    An overview of fundamental numerical solution methodsfor fluid flow problems as well as introduces commercial CFD software. Discretization techniques and solution algorithms for solving different equation types important to fluid dynamics will be studied. Prer., MAE 3130, College of Engineering students only. Meets with MAE 5131.
  
  • MAE 4135 - Aerodynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Airfoil and wing aerodynamics, thin airfoils, finite-span wings, compressible and incompressible flow, nozzle theory. Intro to numerical methods in aerodynamics. Prer., MAE 3130, College of Engineering students only.
  
  • MAE 4150 - Mechanical Vibrations

    3 Credits (Minimum) 3 Credits (Maximum)

    Modeling of a variety of vibrations found in engineering. Students will learn analytic methods, including general solutions to differential equations and eigenvalue methods. Extensive numerical modeling of vibrations will also be covered using MATLAB and Mathematica. Prer., MAE 2104, MAE 3005, MAE 3201, MAE 3401, MATH 3130, MATH 3400. College of Engineering students only.
  
  • MAE 4160 - Introduction to Finite Element Analysis

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduction to finite element analysis (FEA) in 1-D, 2-D, and applications to problems in heat transfer and solid mechanics. Students will learn to use the ANSYS simulation software; topics include weak and variational formulation of FEA, numerical integration, and finite element basis sets, etc. Prer., MAE 3201, MATH 3400. College of Engineering students only.
  
  • MAE 4210 - Fracture Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Fundamental concepts of structure failure. Stress intensity, energy criterion, cracking, and damage tolerance. Linear Elastic Fracture Mechanics: stress concentrations, Griffith energy, energy release rates, K/G and J-integrals, crack trip plasticity. Plane stress/strain, and mixed-mode failure. Prer., MAE 2102, MATH 3130, MATH 3400; College of Engineering students only. Meets with MAE 5205.
  
  • MAE 4301 - Design of Thermal-Fluid Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    Covers basic elements of pipe, tube, and duct flow, pumps and fans, heat exchangers, and prime movers with an emphasis on overall thermal-fluid system design. Applications for the material include pump and piping system design, flow network analysis, HVAC system design, hydraulic/pneumatic system design. Prer., MAE 2301.
  
  • MAE 4310 - Heat Transfer

    4 Credits (Minimum) 4 Credits (Maximum)

    The principles of heat transfer: conduction, convection, and radiation. Steady-state and transient conduction, thermal contact resistance, insulation, heat capacity. Forced and natural convection, velocity and thermal boundary layers, fluid flow. Radiation from blackbodies, surfaces and the sun. Experiments in thermodynamics and heat transfer. Design of experiments, report preparation and presentation. Approved for Compass Curriculum requirement: Writing Intensive. Prer., MAE 3005, MAE 3130, MATH 3130, MATH 3400, and ENGL 2090 or TCID 2090.
  
  • MAE 4316 - Propulsion

    3 Credits (Minimum) 3 Credits (Maximum)

    Basic concepts of aerospace propulsion. Foundational concepts of thermodynamics, compressible flow, and boundary layer theory. Characteristics, operation and analysis of turbine engines. Characteristics, operation and analysis of rocket engines. Prer., MAE 2301, MATH 3130, and MATH 3400.
  
  • MAE 4320 - Sustainable Energy Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    Application of energy systems with a focus on sustainability. Fundamentals of sustainability. Principles of sustainable applications in energy production. Energy system designs including (but not limited to) solar, wind, geothermal, and biomass. Fundamentals of economics and political ramifications of sustainable energy applications. Approved for Compass Curriculum requirement: Sustainability. Prer., MAE 3130; Coreq., MAE 3302; College of Engineering students only.
  
  • MAE 4402 - Intermediate Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Kinematics, relative motion, and rotation of particles and rigid bodies, including inertia tensors, Euler’s angles and equations. Variational principles, work, energy expressions, and Lagrange’s equations. Electrical circuits and electromechanical systems. Prer., MAE 2104, MATH 3130, MATH 3400. College of Engineering students only.
  
  • MAE 4405 - Musculoskeletal Biomechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Forces and motion during human activities in various occupational and exercise settings. Anatomical overview of the musculoskeletal system, including joint classification and modeling. Musculoskeletal system modeling approaches, including definition of musculoskeletal problems, static or quasi-static analyses, forward and inverse dynamic analyses, optimization for the solution of indeterminate problems, consideration of uncertainty and validation, and stress analyses. Prer., MAE 1090, MAE 2104, and MAE 3201. Meets with MAE 5405.
  
  • MAE 4410 - Fundamentals of Astrodynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Development and application of the fundamental principles of astrodynamics to satellite motion. Study of coordinate systems, time keeping, computation of orbits, and introduction to perturbation theory. Prer., MAE 2104, MATH 3130; College of Engineering students only.
  
  • MAE 4415 - Flight Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Advanced treatment of the flight dynamics of atmospheric flight vehicles and spacecraft. Rigorous development of non-linear equations of motion, including environmental and propulsive forces. Linearization via small-perturbation methods - limitations. Transient response, stability, natural modes. Intro to simulation techniques. Prer., MAE 3401; College of Engineering students only. Meets with MAE 5415.
  
  • MAE 4421 - Automatic Control of Aerospace and Mechanical Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduction to the automatic control of aerospace and mechanical systems. Aero/Mech systems modeling,aircraft/spacecraft; computational analysis via Matlab; frequency-domain techniques for analysis and synthesis; root-locus, Bode, Nyquist. Time-and- frequency-domain relationships. Mech/Aero System simulation. Prer., MAE 3401, MATH 3130, MATH 3400; College of Engineering students only.
  
  • MAE 4425 - Space Environment

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduction to properties and effects of the environment in which spacecraft and astronauts must operate. Intensive coverage given to earth-sun-lunar system. Topics include earth’s environment, ionosphere, atmosphere chemistry, radiation belts, magnetosphere, aurora, geomagnetic storms, celestial background, and recent bioastronautic effects. Prer., PES 1120, MATH 3400; College of Engineering students only. Meets with MAE 5091.
  
  • MAE 4450 - Robotics

    3 Credits (Minimum) 3 Credits (Maximum)

    Dynamics, kinematics, and automatic control of robotic devices. Force and position control, path planning. Prer., MAE 3401, MAE 4421, MATH 3130, MATH 3400. College of Engineering students only. Meets with MAE 5450.
  
  • MAE 4455 - Flight Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    A fundamental study of the trajectory dynamics of aerospace vehicles operating in the atmosphere (aircraft and missiles). Rigid-body equations of motion; vehicle-carried coordinate systems; aerodynamic and propulsive forces; maneuvering flight; introduction to trajectory simulation. Prer., MAE 4135, MAE 4402, MATH 3130, MATH 3400. College of Engineering students only. Meets with MAE 5455.
  
  • MAE 4510 - Engineering Design I

    2 Credits (Minimum) 2 Credits (Maximum)

    Design principles with the realistic constraints of economy, safety, reliability, aesthetics, ethics, and social impact. Project and team organization to meet design goals. Professional oral and written communication. Introduction to machining tools and processes. Prer., ENGL 2090 or TCID 2090. College of Engineering students only, Senior standing. Coreq., MAE 3005. Meets with MAE 5510 and ENGR 4510.
  
  • MAE 4511 - Engineering Design II

    3 Credits (Minimum) 3 Credits (Maximum)

    Design principles with the realistic constraints of economy, safety, reliability, aesthetics, ethics, and social impact. Project and team organization to meet design goals. Professional oral and written communication. Introduction to machining tools and processes. Approved for Compass Curriculum requirement: Summit. Prer., MAE 4510; College of Engineering students only. Meets with MAE 5511 and ENGR 4511.
  
  • MAE 4515 - Mechanical Engineering Technology

    3 Credits (Minimum) 3 Credits (Maximum)

    CAD/CAM in the design and manufacturing process, representation of curves and surfaces mathematically, solid modeling, fundamentals of CNC programming and rapid prototyping. Prer., MAE 1503, MATH 3130; College of Engineering students only. Meets with MAE 5515.
  
  • MAE 4520 - Engineering Professional Development

    3 Credits (Minimum) 3 Credits (Maximum)

    Advances theoretical and practical learning in the profession. Covers operating strategies and core values of practicing, professional engineers to provide valued engineering solutions. Professional career development, advances students communication, technical and interpersonal skills. Prer., MAE 2301, MAE 3201, Junior Standing, College of EAS students only, and Consent of Instructor.
  
  • MAE 4610 - Design and Development of Medical Devices

    3 Credits (Minimum) 3 Credits (Maximum)

    Examines the design and development of medical devices. Topics include: engineering design process, human factors, biomaterials, quality control, clinical studies and regulatory bodies. Case studies illustrate successes and failures. Serves students and professionals interested in medical device related fields. Prer., MAE 3501; College of Engineering students only, Senior standing.
  
  • MAE 5011 - Engineering Analysis I

    3 Credits (Minimum) 3 Credits (Maximum)

    Advanced engineering mathematics, including series solutions for ordinary differential equations (ODEs), Laplace transforms, linear algebra, vector calculus, and Fourier series. Prer., Graduate standing or consent of instructor.
  
  • MAE 5012 - Engineering Analysis II

    3 Credits (Minimum) 3 Credits (Maximum)

    Topics of advanced engineering mathematics, including partial differential equations, complex number theory and analysis, power series, and conformal mapping. Prer., Graduate standing or consent of instructor.
  
  • MAE 5020 - Numerical Methods with MATLAB

    3 Credits (Minimum) 3 Credits (Maximum)

    An introduction to applied numerical methods for engineering problem solving using MATLAB. Topics covered include root finding, optimization, solution of linear systems of equations, curve fitting, numerical integration and differentiation, and numerical solution of ordinary differential equations. Prer., MATH 3130, MATH 3400. Meets with MAE 4020.
  
  • MAE 5050 - Product Design: Taking an Idea From Paper to Production

    3 Credits (Minimum) 3 Credits (Maximum)

    Covers all aspects of creating a consumer product from brainstorming to final packaging and marketing plan.Students will learn how to evaluate ideas from a business perspective to determine ultimate sales feasibility and how to prototype and design theirmarketable product. Prer., Graduate standing; juniors or seniors with permission.
  
  • MAE 5085 - Space Communications

    3 Credits (Minimum) 3 Credits (Maximum)

    Fundamentals of digital data transmission; noise characterizations and calculations; communications link calculations; error probabilities for basic digital modulation schemes - BPSK, QPSK, OQPSK, MSK, serial MSK; system degradations, carrier and clock recovery; multiple access techniques - FDMA, TDMA, CDMA; packet satellite networks; “Orbital” parameters; comparison of satellite communication systems with fiber optic links. Prer., PES 1110, MATH 1350 or equivalent.
  
  • MAE 5090 - Space Mission Operations

    3 Credits (Minimum) 3 Credits (Maximum)

    This course describes the relationship between the operations concept and the other elements of a space mission and covers the various functions associated with a space mission. These functions include mission planning, trajectory analysis, navigation, payload operations, spacecraft operations, data processing, communications, training, and management. Students learn how to translate mission objectives and requirements into a viable operations concept. The course covers key cost, technical, and schedule drivers and develops methods for determining key space mission operations design parameters (dataflow diagrams, orbit maneuvers, communication links, and spacecraft and payload commanding). Prer., MAE 4410/5410.
  
  • MAE 5091 - Space Environment

    3 Credits (Minimum) 3 Credits (Maximum)

    Introduction to properties and effects of the environment in which spacecraft and astronauts must operate. Intensive coverage given to earth-sun-lunar system. Topics include earth’s environment, ionosphere, atmospheric chemistry, radiation belts, magnetosphere, aurora, geomagnetic storms, celestial background and recent bioastronautic effects. Prer., PES 1120 or equivalent and MATH 3400. Meets with MAE 4425.
  
  • MAE 5100 - Continuum Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Tensor analysis, index notation, deformation mappings, Eularian/Lagrangian frames, deformation tensors, linearization, body forces, stress tensors, balance laws, variational formulation, optimization, constitutive theory and modeling, thermodynamics, FEM, applications. Prer., MATH 2350, MATH 3130, MATH 3400, MAE 3201, MAE 3130.
  
  • MAE 5125 - Advanced Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Newton-Euler formulation of dynamic systems, including rigid body motion in three dimensions. Analytical dynamics, including Lagrange’s and Hamilton’s equations. Analysis of linear and nonlinear systems: modal analysis, Floquet theory, Liapunov’s direct method, dynamical systems theory, and perturbation theory. Prer., MAE 4402, MATH 4470; Graduate standing in MAE or consent of instructor.
  
  • MAE 5130 - Incompressible Flow

    3 Credits (Minimum) 3 Credits (Maximum)

    This course will review the kinematics of fluid motion, the basic laws governing fluid flow, and the Navier-Stokes equations. Exact solutions to several important incompressible flow problems will be examined. Computational fluid dynamics (CFD) will be introduced. Prer., MAE 2301, MAE 3130, MAE 3302, MAE 3310. Co-req., MAE 5011. Grad standing or consent of instructor.
  
  • MAE 5131 - Computational Fluid Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Computational fluid dynamics (CFD) has become an industry standard, ranging from CFD solvers coupled with CAD packages such as Solidworks, to highly sophisticated standalone packages for advanced engineering applications (Fluent, Star-CCM, etc.). This introductory course provides an overview of the underlying numerical methods used in CFD: e.g., how we can solve the Navier-Stokes equations numerically. Students will utilize MATLAB and a commercially available CFD package: MATLAB to develop/implement a basic CFD program, providing insights and hands-on experience with the underlying methods used in CFD and the resulting limitations of CFD software; commercial software will be used to explore the broad range of enginering applications that can benefit from CFD analysis. Prer., MAE 3130, MATH 3130, MATH 3400, or graduate standing in MAE. Meets with MAE 4131.
  
  • MAE 5135 - Multiphase Flows

    3 Credits (Minimum) 3 Credits (Maximum)

    This course covers various multiphase flows including bubbles, drops, aerosols, sprays, particulate flows, and granular flows. Fundamental physics and governing equations are presented along with numerical methods for modeling various types of multiphase flow. Prer., MAE 3130, MATH 3130, MATH 3400. Graduate standing or consent of instructor.
  
  • MAE 5140 - Compressible Flow

    3 Credits (Minimum) 3 Credits (Maximum)

    Compressible flow dynamics are investigated including the conservation equations for inviscid and viscous flows. Study of shock and expansion waves including methods for solving scenarios involving high Mach number flows. High temperature gas dynamics will also be introduced. Prer., MAE 2301, MAE 3130, MAE 3302, MAE 3310; coreq., MAE 5011; Graduate students only.
  
  • MAE 5145 - Hypersonics

    3 Credits (Minimum) 3 Credits (Maximum)

    Hypersonic flow features, gas dynamics overview, propulsion system requirements, inviscid and viscous methods for predicting aerodynamic forces and moments, heating and shock-shock interactions, rarefied gas dynamics, hypersonic testing. Prer., MAE 2301, MAE 3310, Graduate standing or permission from instructor.
  
  • MAE 5146 - Computational Techniques in Rarefied Gas Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    This course covers particle-based computational simulation methods for rarefied, high-speed flows. Includes molecular collision kinetics, molecular dynamics, Monte Carlo direct simulation, and related techniques. Prer., MAE 3130, MATH 3130, MATH 3400; Graduate standing in MAE.
  
  • MAE 5150 - Advanced Vibrations

    3 Credits (Minimum) 3 Credits (Maximum)

    A second course in vibrations covering the following topics: multiple-degree of freedom systems, undampedand damped, harmonic and forced, numerical solutions, continuous systems, and the finite-element method. Prer., MATH 3130 and MATH 3400; MAE 4150/5190.
  
  • MAE 5160 - Finite Element Analysis for Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    An introduction to finite element analysis (FEA) procedures in mechanics, beginning with vectors, matrices and tensors, and continuing with formulation and calculation of FEA for solid mechanics, static and dynamic structural mechanics, heat transfer, electric fields, and incompressible fluid flow analysis. Students will do a significant amount of programming in the language of their choice. Prer., MATH 4470, MAE 4150/MAE 5190, and programming competency.
  
  • MAE 5165 - Microelectromechanical Systems (MEMS)

    3 Credits (Minimum) 3 Credits (Maximum)

    Integration of electrical and mechanical processes to design micromachines. Properties of materials. Structural design: fundamental mechanics, systems,and vibrations. Transducer and actuator principles. Sensor design integration and applications. Prer., MATH 3130, MATH 3400, MAE 4402 or MAE 5493, ECE 2220 or equivalent.
  
  • MAE 5167 - Mems Design and Fabrication Laboratory

    3 Credits (Minimum) 3 Credits (Maximum)

    Integration of electrical and mechanical design processes to build micro machines. Process design: wet chemical etching, wafer bonding, RIE and CMP. Surface micro machining. Sensor design integration and application. Prer., MAE 5165.
  
  • MAE 5201 - Solid Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Analysis of structures using fundamental concepts of continuum mechanics, theory of elasticity, energy principles, variational methods, and finite element analysis. Prer., Graduate standing or consent of instructor.
  
  • MAE 5205 - Fracture Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Fundamental concepts of structural failure. Stress intensity, energy criterion, cracking, and damage tolerance. Linear Elastic Fracture Mechanics: stress concentrations, Griffith energy, energy release rates, K/G and J-integrals, crack tip plasticity. Plane stress/strain, and mixed-mode failure. Graduate credit requires the solution and presentation of a class project. Prer., MATH 3130, MATH 3400 and MAE 2102. Meets with MAE 4210.
  
  • MAE 5210 - Advanced Fracture Mechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Review of linear elastic fracture mechanics. Dynamic fracture mechanics: arrest and branching, energy release rates, contour integrals, and examples. Elastic-plastic fracture mechanics, including Dugdale’s model, J-integrals, CTOD, and mixed-mode failure. Introduction to computational technique. Prer., MAE 4210 and MATH 4470.
  
  • MAE 5301 - Advanced Thermodynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    First and second laws of thermodynamics including heat transfer, work transfer, property relationships, and maximum entropy. Entropy generation including lost work, mechanisms, and minimization. Power plant, solar power, and refrigeration processes including thermodynamic formulation, maximum power, reversible and irreversible processes, and optimization. Entropy generation minimization. Prer., MAE 2301, MAE 3302, MAE 3130, MAE 3310. Graduate standing or consent of instructor.
  
  • MAE 5310 - Intermediate Heat Transfer

    3 Credits (Minimum) 3 Credits (Maximum)

    Fundamental treatment of conduction, convection, and radiation based on exact and numerical finite-difference/element solutions to the governing partial differential equations. Steady-state and transient conduction, laminar/turbulent boundary layer flows, radiation, and coupling between thethree modes of heat transfer. Prer., Graduate standing or consent of instructor.
  
  • MAE 5320 - Principles of Combustion

    3 Credits (Minimum) 3 Credits (Maximum)

    Fundamentals of combustion science and applications, including thermochemistry, heat and mass transfer, chemical kinetics, laminar premixed and diffusion flames, droplet evaporation and combustion, and associated environmental issues. Prer., MAE 2301, MAE 3130, MAE 3302, MAE 3310, CHEM 1401/1402 (formerly CHEM 1301 or CHEM 1030), MATH 3400.
  
  • MAE 5345 - Laser Application in Mechanical and Aerospace Engineering

    3 Credits (Minimum) 3 Credits (Maximum)

    This course will cover the interaction of atoms, molecules, and light, and how these physical processes are used to enhance mechanical and aerospace applications. Topics include: gaseous diagnostics, scattering, electrorestriction, acousto-optics, combustion analysis, precision positioning, weaponized lasers, and advanced technology. Prer., MAE 3130, MATH 3130, MATH 3400; Graduate standing in MAE or permission of instructor.
  
  • MAE 5391 - Rocket Propulsion

    3 Credits (Minimum) 3 Credits (Maximum)

    Basic theory of rocket propulsion, nozzle performance, propellant characteristics. Primary emphasis on the engine system design process, based on mission requirements. Chemical, as well as nuclear, electric, and advanced propulsion concepts are treated. Prer., MATH 3400 and MAE 2301.
  
  • MAE 5402 - System Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Kinematics, relative motion, and rotation of particles and rigid bodies, including inertia tensors, Euler’s angles and equations. Variational principles, work, energy expressions, and Lagrange’s equations. Electrical circuits and electromechanical systems. Prer., MAE 4402.
  
  • MAE 5405 - Musculoskeletal Biomechanics

    3 Credits (Minimum) 3 Credits (Maximum)

    Forces and motion during human activities in various occupational and exercise settings. Anatomical overview of the musculoskeletal system, including joint classification and modeling. Musculoskeletal system modeling approaches, including definition of musculoskeletal problems, static or quasi-static analyses, forward and inverse dynamic analyses, optimization for the solution of indeterminate problems, consideration of uncertainty and validation, and stress analyses. Prer., Graduate level standing. Meets with MAE 4405.
  
  • MAE 5410 - Astrodynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Rigorous development and application of the fundamental principles of astrodynamics to satellite motion. Study of coordinate systems, time keeping, computation of orbits, introduction to perturbation theory, Kepler’s and Lambert’s problems, linear orbit theory, patched conics method. Prer., MAE 4402 or consent of instructor.
  
  • MAE 5411 - Space Operations Analysis

    3 Credits (Minimum) 3 Credits (Maximum)

    An advanced class in astrodynamics and space mission operations. The primary goal is to present numerical methods useful in evaluating spacecraft trajectories. This will include methods of orbit determination, numerical vehicle targeting, and statistical estimation theory. Prer., MAE 4410/5410.
  
  • MAE 5412 - Atmospheric Flight Control

    3 Credits (Minimum) 3 Credits (Maximum)

    Feedback control of aerospace vehicles operating in the atmosphere (aircraft and missiles). Aircraft and missile stability augmentation and autopilots. Frequency-domain analysis and synthesis, Bode/Nyquist, loop shaping. Prer., MAE 3420 and MAE 4415/MAE 5415.
  
  • MAE 5415 - Flight Dynamics

    3 Credits (Minimum) 3 Credits (Maximum)

    Advanced treatment of the flight dynamics of atmospheric flight vehicles and spacecraft. Rigorous development of non-linear equations of motion, including environmental and propulsive forces. Linearization via small-perturbation methods - limitations. Transient response, stability, natural modes. Intro to simulation techniques. Prer., MAE 3401, MAE 4402 recommended by the instructor. Meets with MAE 4415.
  
  • MAE 5417 - Modeling and Analysis of Dynamic Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    Unified approach to dynamic systems analysis; method for development of lumped-parameter analytical models for mechanical and electromechanical systems, vehicles, robots, power systems; energy-based state-space formulations; simulation of linear and non-linear systems; perturbation techniques and neighboring trajectories; controllability concepts; modal analysis. Coreq.: MAE 5012.
  
  • MAE 5418 - Multivariable Modeling and Control of Mechanical and Aerospace Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    Modeling, system representation, and control for multivariable mechanical and aerospace systems. Topics include system representation, observability, controllability, decoupling, and controller design. Prer., MAE 5417.
  
  • MAE 5419 - Trajectory Optimization

    3 Credits (Minimum) 3 Credits (Maximum)

    Optimization of the non-linear dynamics governing trajectories of aerospace vehicles or robots. Calculus of variations and numerical algorithms. Optimal orbit transfer, launch, re-entry, and interplanetary trajectories; robot path planning. Treatment of equality and inequality constraints (e.g., heating, loads). Projects in numerical optimization. Prer., MAE 2104, MATH 3130, and MATH 3400.
  
  • MAE 5421 - Digital Control of Mechanical and Aerospace Systems

    3 Credits (Minimum) 3 Credits (Maximum)

    A laboratory-based course addressing the feedback control of aerospace vehicles, with special focus on the fact that the control systems will be implemented digitally. Z-domain systems analysis, discrete loop-shaping synthesis techniques; sample-rate selection; quantization effects. Real-time code generation and implementation. Hardware-in-the-loop testing and validation. Aircraft and missile stability augmentation and autopilots, spacecraft attitude control, and control of flexible systems. Prer., MAE 4421 or ECE 4510.
 

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