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Mathematics |
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MATH 6320 - Modern Algebra
3 credits
Algebraic structures, including vector spaces, groups, rings, algebras, and modules. Topics include: category theory, elementary commutative ring theory, and algebraic geometry.
Prerequisite/Restriction: C- or better in MATH 5310 ; MATH 6310 must be completed prior to 6320
Semester(s) Traditionally Offered: Fall, Spring
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MATH 6340 - Multilinear Algebra and Matrix Theory
3 credits
Permutation groups and representations, tensor spaces, symmetry classes of tensors, generalized matrix functions, matrices and graphs, and combinatorial matrix algebra.
Prerequisite/Restriction: C- or better in MATH 5340 ; MATH 6340 must be completed prior to MATH 6350
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MATH 6350 - Multilinear Algebra and Matrix Theory
3 credits
Permutation groups and representations, tensor spaces, symmetry classes of tensors, generalized matrix functions, matrices and graphs, and combinatorial matrix algebra.
Prerequisite/Restriction: C- or better in MATH 5340 ; MATH 6340 must be completed prior to 6350
Semester(s) Traditionally Offered: Fall, Spring
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MATH 6410 - Ordinary Differential Equations I
3 credits
Existence-uniqueness theory, linear equations and systems, nonlinear equations, and stability.
Prerequisite/Restriction: C- or better in MATH 5210
Semester(s) Traditionally Offered: Fall
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MATH 6420 - Partial Differential Equations I
3 credits
Introduction to the theory of partial differential equations, including existence and uniqueness.
Prerequisite/Restriction: C- or better in MATH 5220 or MATH 6410
Semester(s) Traditionally Offered: Spring
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MATH 6440 - Ordinary Differential Equations II
3 credits
Asymptotic behavior, periodicity, boundary value problems, and perturbation methods.
Prerequisite/Restriction: C- or better in MATH 6410
Semester(s) Traditionally Offered: Spring
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MATH 6450 - Partial Differential Equations II
3 credits
Advanced existence and uniqueness theorems, behavior of solutions, Sobolev spaces.
Prerequisite/Restriction: C- or better in MATH 6210 ; and C- or better in MATH 5420 or MATH 6420
Semester(s) Traditionally Offered: Spring
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MATH 6470 - Advanced Asymptotic Methods
3 credits
Theory of asymptotics and perturbations. Boundary layers for ordinary and partial differential equations. Free boundary problems, shocks, multiple-scale methods, and WKB methods.
Prerequisite/Restriction: C- or better in MATH 5420
Semester(s) Traditionally Offered: Spring
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MATH 6500 - Methods of Secondary School Mathematics Teaching
3 credits
A teaching methods course required of all prospective secondary school mathematics teachers. To receive graduate credit, students must complete an extra project. Students having a Methods of Secondary Math Teaching Methods course on their transcripts will not be allowed to apply credit for this course toward a master’s degree.
Prerequisite/Restriction: Matriculation into the Master’s of Education Plan C program, the Master’s of Mathematics program, or the USOE Alternative Route to Licensure Program
Cross-listed as: MATH 4500 .
Semester(s) Traditionally Offered: Fall, Spring
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MATH 6510 - Topology
3 credits
Homotopy theory, fundamental groups, covering spaces, singular homology with applications to spheres and Euclidean spaces, CW complexes, cohomology ring, and Poincare duality.
Prerequisite/Restriction: C- or better in MATH 4310 , MATH 5510 ; and C- or better in MATH 5310 or consent of instructor MATH 6510 must be completed prior to MATH 6520
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MATH 6520 - Topology
3 credits
Homotopy theory, fundamental groups, covering spaces, singular homology with applications to spheres and Euclidean spaces, CW complexes, cohomology ring, and Poincare duality.
Prerequisite/Restriction: C- or better in MATH 4310 , MATH 5510 ; and C- or better in MATH 5310 or consent of instructor MATH 6510 must be completed prior to 6520
Semester(s) Traditionally Offered: Fall, Spring
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MATH 6610 - Matrix Computations
3 credits
Computational aspects of matrix theory, focusing on numerical methods for solving linear systems, least squares problems, and eigenvalue problems.
Prerequisite/Restriction: C- or better in MATH 5210 or MATH 5610 , and experience with a high-level programming language
Semester(s) Traditionally Offered: Taught as needed
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MATH 6620 - Numerical Analysis
3 credits
Numerical solution of ordinary and partial differential equations.
Prerequisite/Restriction: C- or better in MATH 6610 or consent of instructor
Semester(s) Traditionally Offered: Spring
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MATH 6640 - Optimization
3 credits
Unconstrained problems, smooth function methods, linearly constrained problems, linear and quadratic programming, nonlinearly constrained methods, and practicalities.
Prerequisite/Restriction: C- or better in MATH 5220 or consent of instructor
Semester(s) Traditionally Offered: Spring
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MATH 6750 - Probability Theory
3 credits
Probability spaces, random variables, distribution functions, expectations, independence, modes of convergence, limit theorems, and applications.
Prerequisite/Restriction: C- or better in MATH 5210 ; MATH 6750 must be completed prior to MATH 6760
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MATH 6760 - Probability Theory
3 credits
Probability spaces, random variables, distribution functions, expectations, independence, modes of convergence, limit theorems, and applications.
Prerequisite/Restriction: C- or better in MATH 5210 ; MATH 6750 must be completed prior to 6760
Semester(s) Traditionally Offered: Fall, Spring
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MATH 6810 - Topics in Mathematics (Topic)
3 credits
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
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MATH 6820 - Topics in Mathematics (Topic)
3 credits
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
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MATH 6910 - Directed Reading and Conference
1-3 credits
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
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MATH 6970 - Thesis
1-9 credits
Repeatable for credit.
Pass/Fail only.
Semester(s) Traditionally Offered: Fall, Spring, Summer
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MATH 6990 - Continuing Graduate Advisement
1-9 credits
Repeatable for credit.
Pass/Fail only.
Semester(s) Traditionally Offered: Fall, Spring, Summer
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MATH 7110 - Geometry (Topic)
3 credits
Repeatable for credit.
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MATH 7120 - Geometry (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7210 - Analysis (Topic)
3 credits
Repeatable for credit.
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MATH 7220 - Analysis (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7310 - Algebra (Topic)
3 credits
Repeatable for credit.
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MATH 7320 - Algebra (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7410 - Differential Equations (Topic)
3 credits
Repeatable for credit.
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MATH 7420 - Differential Equations (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7510 - Topology (Topic)
3 credits
Repeatable for credit.
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MATH 7520 - Topology (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7610 - Numerical Analysis (Topic)
3 credits
Repeatable for credit.
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MATH 7620 - Numerical Analysis (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7750 - Probability (Topic)
3 credits
Repeatable for credit.
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MATH 7760 - Probability (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7810 - Topics in Mathematics (Topic)
3 credits
Repeatable for credit.
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MATH 7820 - Topics in Mathematics (Topic)
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring
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MATH 7910 - College Teaching Internship
3 credits
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring, Summer
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MATH 7970 - Dissertation Research
1-15 credits
Repeatable for credit.
Pass/Fail only.
Semester(s) Traditionally Offered: Fall, Spring, Summer
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MATH 7990 - Continuing Graduate Advisement
1-9 credits
Repeatable for credit.
Pass/Fail only.
Semester(s) Traditionally Offered: Fall, Spring, Summer
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Mechanical and Aerospace Engineering |
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MAE 1010 - Introduction to Mechanical Engineering
3 credits
Introduction to the field of mechanical engineering, engineering computational and programming tools, extracurricular engineering opportunities, and engineering documentation standards.
Prerequisite/Restriction: acceptance into the College of Engineering
Corequisite: MATH 1210
Semester(s) Traditionally Offered: F, Sp
Effective Term
Fall
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MAE 1200 - Engineering Graphics
2 credits
Introduction to technical sketching, solid modeling, and engineering graphics. Concurrent engineering design process applied to a project. Students start with hand sketches, then move through variational geometry solid models, with tolerance analysis and control, until they have produced a complete set of manufacturing drawings conforming to the ASME standard.
Prerequisite/Restriction: MATH 1060 , Math ACT score of 27 or higher, AP Calculus score of 3 or higher, and must be accepted into the College of Engineering or have instructor permission
Semester(s) Traditionally Offered: Fall, Spring
Course Fee: $53.00
Effective Term
“Spring”, “Summer”
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MAE 2160 - Material Science
3 credits
Study of atomic and microscopic structures of metals, polymers, ceramics, and composite materials, and how these structures affect material properties.
Prerequisite/Restriction: CHEM 1210 and ENGR 2140 (both may be taken concurrently)
Semester(s) Traditionally Offered: Fall, Spring
Course Fee: $30.00
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MAE 2165 - Material Science Laboratory
1 credit
Laboratory sessions held weekly where the mechanical and thermal properties of metals, polymers, ceramics, and composite materials are studied.
Prerequisite/Restriction: (prerequisite or corequisite)
Semester(s) Traditionally Offered: Spring
Course Fee: $50.00
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MAE 2300 - Thermodynamics I
3 credits
First and second laws of thermodynamics; analysis of open and closed systems; equations of state; power and refrigeration cycles; and problem solving methodology.
Prerequisite/Restriction: MATH 1220 ; MATH 2210 (may be taken concurrently)
Semester(s) Traditionally Offered: Spring, Summer
Course Fee: $30.00
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MAE 2650 - Manufacturing Processes
3 credits
Introduction to manufacturing processes and CAD/CAM. Material forming, machining, finishing, and joining. Integration of manufacturing and CAD, plus the fundamentals and application of statistical process control.
Semester(s) Traditionally Offered: Spring
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MAE 3040 - Mechanics of Solids
3 credits
Stress, strain, and deflection due to flexure and shear. Combined stresses, instability, nonsymmetric bending, torsion, and energy methods.
Prerequisite/Restriction: ENGR 2140 Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Fall
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MAE 3210 - Engineering Numerical Methods
3 credits
Explores basic tools of numerical analysis, solution to ordinary and partial differential equations; software development using C language.
Prerequisite/Restriction: CS 1400 (USU only and C or better grade), MATH 2210 , MATH 2250 (may be taken concurrently) Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Spring
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MAE 3320 - Advanced Dynamics
3 credits
Particle and rigid body dynamics. Work and kinetic energy, conservation of energy, impulse-momentum, conservation of linear and angular momentum. Kinematics and kinetics in 2-D and 3-D. Newtonian and Lagrangian Mechanics.
Prerequisite/Restriction: ENGR 2030 Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Fall
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MAE 3340 - Instrumentation and Measurements
3 credits
Principles and application of mechanical instrumentation and experimentation. Sensing elements, signal conditioning, data acquisition, statistical analysis of data, and instrumentation system design.
Prerequisite/Restriction: ENGR 2140 , ENGR 2210 , MAE 3420 Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Spring
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MAE 3420 - Fluid Mechanics
3 credits
Application of fluid dynamic theory to inviscid and viscous, incompressible and compressible, and external and internal fluid flows, with emphasis on laminar and turbulent boundary layers.
Prerequisite/Restriction: ENGR 2030 , MAE 2300 , CS 1400 (USU only and C grade or better–may also be taken concurrently) Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Fall
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MAE 3440 - Heat Transfer (QI)
QI Quantitative Intensive
3 credits
Fundamentals of heat transfer. Steady-state and transient conduction. External and internal flow convection, free convection, boiling and condensation and heat exchangers and radiation heat transfer.
Prerequisite/Restriction: MAE 2300 , MAE 3420 Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Spring
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MAE 3600 - Engineering Professionalism and Ethics
1 credit
Seminar course introducing engineering students to the professional skills required in engineering practice. Topics address professional issues in ethics, legal responsibilities, economics, business, management, safety, environmental and societal impacts, contemporary issues, and lifelong learning.
Prerequisite/Restriction: Student must be in the Professional Engineering Program.
Semester(s) Traditionally Offered: Fall
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MAE 4300 - Machine Design
3 credits
Computer-aided design and synthesis of mechanisms, mechanical linkages, cams, fasteners, welds, gears, bearings, power transmission components, and lubrication. Component failure analysis based on metal fatigue related to dynamic loading.
Prerequisite/Restriction: MAE 3040 Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Spring
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MAE 4400 - Fluids/Thermal Laboratory (CI)
CI Communications Intensive
2 credits
Laboratory experiences in observation and measurement of fundamental fluid and thermal phenomena.
Prerequisite/Restriction: MAE 3340 , MAE 3440 Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Fall
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MAE 4800 - Capstone Design I (CI)
CI Communications Intensive
3 credits
First course in the senior design sequence. Includes design process, teaming skills, engineering economics, project selection and management, proposal writing, technical writing, and technical presentations.
Prerequisite/Restriction: MAE 3440 , MAE 4300 (both of which may be taken concurrently) Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Fall, Spring
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MAE 4810 - Capstone Design II
3 credits
Second course in the senior design sequence. Includes design reviews, technical reporting, and design realization.
Prerequisite/Restriction: MAE 4800 Student must be in the Professional Engineering Program
Semester(s) Traditionally Offered: Fall, Spring
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MAE 5020 - Finite Element Methods in Solid Mechanics I
3 credits
Introduction to finite element methods and their application to the analysis and design of mechanical engineering systems.
Prerequisite/Restriction: MAE 3040 Student must be in the Professional Engineering Program or have Graduate Standing
Cross-listed as:
Semester(s) Traditionally Offered: Fall
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MAE 5060 - Mechanics of Composite Materials I
3 credits
Stress-strain relations for nonisotropic composites, such as fiber-reinforced plastic laminates, properties and their uses, strength and life determination, and methods for design using composite materials.
Prerequisite/Restriction: MAE 3040 Student must be in the Professional Engineering Program or have Graduate Standing
Cross-listed as:
Semester(s) Traditionally Offered: Spring
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MAE 5300 - Vibrations
3 credits
Vibration of single and multiple degree of freedom, and discrete mass systems. Natural frequencies and mode shapes for free, damped, and undamped systems. Forcing functions and transient responses. Matrix methods, numerical solution, and random vibrations. Applications and design.
Prerequisite/Restriction: ENGR 2030 , ENGR 2140 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5310 - Dynamic Systems and Controls
3 credits
Study of continuous-time systems, classical and modern systems design methods, transfer function models, state space, dynamics of linear systems, and frequency domain analysis and design techniques. Introduction to controllability and observability, and full-state pole placement controller design. Laboratory work required.
Prerequisite/Restriction: MAE 3340 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5320 - Mechatronics
4 credits
Principles, modeling, interfacing, and signal conditioning of motion sensors and actuators. Hardware-in-the-loop simulation and rapid prototyping of real-time closed-loop computer control of electromechanical systems. Modeling, analysis, and identification of discrete-time or sampled-data dynamic systems. Commonly used digital controller design methods. Introduction to nonlinear effects and their compensation in mechatronic systems. Laboratory work and a design project required. Three lectures and one lab.
Prerequisite/Restriction: ECE 5310 or MAE 5310 and student must must be in the Professional Engineering Program or have Graduate standing
Cross-listed as: ECE 5320
Semester(s) Traditionally Offered: Spring
Effective Term
Spring 2016
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MAE 5350 - Kinematics
3 credits
The study of the motion of rigid bodies and systems of rigid bodies. This includes the kinematic analysis of linkages, cams and gear trains.
Prerequisite/Restriction: ENGR 2030 and student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Spring
Effective Term
Fall 2016
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MAE 5410 - Design and Optimization of Thermal Systems
3 credits
Discussion of the basic considerations that occur in the design of thermal systems, including problem formulation, appropriate modeling and solution methodologies, optimization techniques, and economic analysis.
Prerequisite/Restriction: MAE 3440 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5420 - Compressible Fluid Flow
3 credits
Application of conservation of mass, momentum, and energy to the design and analysis of compressible fluid systems.
Prerequisite/Restriction: MAE 2300 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5440 - Computational Fluid Dynamics
3
Introduction to computational fluid dynamics and heat transfer using the finite-volume method. Extensive code development. Application of a commercial CFD solver to a problem of interest.
Prerequisite/Restriction: MAE 3420 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Spring
Effective Term
Fall 2016
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MAE 5450 - Renewable Energy
3 credits
Fundamentals of thermodynamics, fluid mechanics, and systems analysis applied to alternative energy systems; analysis of energy conversion and storage in thermal, mechanical, chemical, and electrochemical processes in power and transportation systems, with emphasis on efficiency, performance, and environmental impact.
Prerequisite/Restriction: MAE 3440 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5500 - Aerodynamics
3 credits
Fundamentals of incompressible, inviscid flow; aerodynamic forces and moments; airfoil characteristics; incompressible flow around two-dimensional airfoils and finite wings; three-dimensional incompressible flow; and introduction to aircraft performance.
Prerequisite/Restriction: MAE 3420 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5510 - Dynamics of Atmospheric Flight
3 credits
Aircraft equations of motion; aerodynamic forces and moments; aircraft stability and control in roll, pitch, and yaw; aircraft motion with six degrees of freedom; aircraft performance and design; and design project.
Prerequisite/Restriction: MAE 5500 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Spring
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MAE 5520 - Elements of Space Flight
3 credits
Introduction to astrodynamics and orbital design. Spacecraft systems engineering including spacecraft subsystems (e.g., attitude control, communications, power, structures). Introduction to propulsion and launch vehicles.
Prerequisite/Restriction: MAE 3320 or PHYS 3550 ; or both ECE 2290 and ECE 2700 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5530 - Space System Design
3 credits
Students in teams perform a space system design involving all aspects, including technical, cost, and schedule. Class is linked to national design competitions and/or current USU spacecraft design projects.
Prerequisite/Restriction: ECE 5230 or MAE 5520 Student must be in the Professional Engineering Program or have Graduate Standing
Cross-listed as: ECE 5240 .
Semester(s) Traditionally Offered: Spring
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MAE 5540 - Propulsion Systems
3 credits
Fundamentals of rocket and air breathing propulsion, including space flight dynamics, nozzle theory, combustion processes, and flight performance. Rocket propulsion systems, including solid, liquid, hybrid, and combined cycles. Air breathing propulsion systems, including ramjet, scramjet, turbojet, and turbofan engine concepts.
Prerequisite/Restriction: MAE 5420 or consent of instructor Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Spring
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MAE 5560 - Dynamics of Space Flight
3 credits
Fundamentals of spacecraft dynamics, including Keplerian orbits, orbital position as a function of time, three-dimensional orbits, orbital determination, orbital maneuvers, satellite attitude dynamics, and rocket vehicle dynamics.
Prerequisite/Restriction: MAE 3320 or instructor permission Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5580 - Aircraft Design
3 credits
Design and optimization of aircraft systems. Students work in teams to design and optimize an aircraft to satisfy a specific set of mission requirements, including mission effectiveness, cost, and scheduling. Class is linked to national design competitions and/or current USU aircraft design projects.
Prerequisite/Restriction: MAE 5500 and MAE 5510 Student must be in the Professional Engineering Program or have Graduate Standing
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MAE 5670 - Fracture Mechanics
3 credits
Covers linear elastic and elastic-plastic fracture mechanics; micro-mechanisms of fracture in metals, polymers, ceramics, composites, and concrete; and failure analysis of engineering. Enrollment limited to students accepted into College of Engineering.
Prerequisite/Restriction: Grade of C- or better in MAE 2160 and grade of D or better in MAE 3040 Student must be in the Professional Engineering Program or have Graduate Standing
Semester(s) Traditionally Offered: Fall
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MAE 5900 - Cooperative Practice
3 credits
Planned work experience in industry. Detailed program must have prior approval. Written report required.
Prerequisite/Restriction: Student must be in the Professional Engineering Program or have Graduate Standing.
Pass/Fail Only
Semester(s) Traditionally Offered: Fall, Spring, Summer
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MAE 5930 - Special Problems
1-3 credits
Formulation and solution of practical or theoretical problems.
Prerequisite/Restriction: Permission of department head Student must be in the Professional Engineering Program or have Graduate Standing
Repeatable for credit.
Semester(s) Traditionally Offered: Fall, Spring, Summer
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MAE 6010 - Finite Element Methods in Solid Mechanics II
3 credits
Advanced theory and applications of finite element methods to both static and dynamic solid mechanics problems.
Prerequisite/Restriction: MAE 5020
Semester(s) Traditionally Offered: Spring
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MAE 6040 - Continuum Mechanics and Elasticity
3 credits
Mechanics of continuous media; tensors, stress, strain, deformation, rate equations, and constitutive equations. Plane stress, plane strain, torsion, and bending theories, as well as problem solutions, investigated for linear elastic materials.
Prerequisite/Restriction: MAE 3040 , MATH 2210 , MATH 2250
Semester(s) Traditionally Offered: Fall
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MAE 6070 - Mechanics of Composite Materials II
3 credits
Second course in composite materials. Stress-strain states of laminated composite structures, including interlaminar stresses, failure criteria, and hygrothermal stresses.
Prerequisite/Restriction: MAE 5060
Cross-listed as:
Semester(s) Traditionally Offered: Fall
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MAE 6080 - Boundary Element Method
3 credits
Presents introduction to boundary element method to solve fluid and solid mechanics problems.
Prerequisite/Restriction: FORTRAN programming skills, MAE 3040 , MAE 5020
Semester(s) Traditionally Offered: Spring
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MAE 6090 - Theory of Plates and Shells
3 credits
Introduction to plate and shell theories. Development of bending and buckling of plates and shells through classical theory.
Prerequisite/Restriction: MAE 3040
Cross-listed as: CEE 6090 .
Semester(s) Traditionally Offered: Fall
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MAE 6130 - Structural Dynamics and Seismic Design
3 credits
Development and solutions for equations of motion for single- and multi-degree of freedom systems. Dynamic analysis by Modal Superposition and Response Spectra. Design of structures for seismically active areas.
Cross-listed as:
Semester(s) Traditionally Offered: Spring
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MAE 6180 - Dynamics and Vibrations
3 credits
Fundamentals of two-dimensional and three-dimensional rigid body dynamics, including Newtonian, Lagrangian, and Leavit Energy Methods. Equations of motion, mode shapes, and natural frequencies for continuous media and multi degree-of-freedom systems.
Prerequisite/Restriction: MAE 5300 or CEE 6130 /MAE 6130
Cross-listed as: CEE 6180 .
Semester(s) Traditionally Offered: Spring
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MAE 6320 - Linear Multivariable Control
3 credits
Modeling, analysis, and design of multi-input, multi-output control systems, including both state space and transfer matrix approaches, with an emphasis on stability.
Prerequisite/Restriction: ECE 5310 or MAE 5310
Cross-listed as: ECE 6320 .
Semester(s) Traditionally Offered: Fall
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MAE 6340 - Spacecraft Attitude Control
3 credits
Spacecraft attitude dynamics and controls. Spin stabilized, three axis, and dual spin modes. Attitude determination techniques.
Prerequisite/Restriction: ECE 5310 or MAE 5310
Cross-listed as: ECE 6340 .
Semester(s) Traditionally Offered: Spring
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MAE 6410 - Fluid Dynamics
3 credits
Basic laws of fluid motion, Navier Stokes equations, kinematics of the flow field, fundamental exact solutions of viscous flow, and elements of turbulence.
Prerequisite/Restriction: MAE 3420 or CEE 3500
Semester(s) Traditionally Offered: Fall
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MAE 6420 - Mechanical Engineering Experiments
3 credits
Topics include experimental design, digital data acquisition, Fourier transforms, uncertainty analysis, writing and presentation, and some specific measurement techniques of interest to mechanical engineers.
Prerequisite/Restriction: MAE 3340
Semester(s) Traditionally Offered: Spring
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MAE 6430 - Boundary Layer Theory and Convection Heat Transfer
3 credits
Derivation of the boundary layer equations. Exact, approximate, and numerical solution techniques. Boundary layers in compressible flow. Separation. Unsteady boundary layers. Stability and transition. Turbulent boundary layers. Integral, differential, and numerical methods for solving problems associated with transfer of heat in a viscous fluid.
Prerequisite/Restriction: MAE 3440 , MAE 6410
Semester(s) Traditionally Offered: Spring
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MAE 6440 - Advanced Computational Fluid Dynamics
3 credits
Advanced topics in computational fluid dynamics using the finite-volume method, compressible flow algorithms including body-fitted nonorthogonal grids, linear solvers, turbulence modeling, and parallel computing. Includes extensive code development.
Prerequisite/Restriction: MAE 5440 and MAE 6410
Semester(s) Traditionally Offered: Spring
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MAE 6450 - Thermodynamics
3 credits
Topics in classical and statistical thermodynamics, including distribution functions, free molecular flow, electron and photon gas modeling, derived properties of solids, and thermodynamic applications in areas of current research interest.
Prerequisite/Restriction: MAE 3440
Semester(s) Traditionally Offered: Fall
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MAE 6460 - Conduction Heat Transfer
3 credits
Integral, differential, and numerical methods for solving engineering problems associated with the diffusion of heat in a rigid solid.
Prerequisite/Restriction: MAE 3440
Semester(s) Traditionally Offered: Spring
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MAE 6480 - Radiation Heat Transfer
3 credits
Radiation theory and applications. Includes utilization of computer software.
Prerequisite/Restriction: MAE 3440
Semester(s) Traditionally Offered: Fall
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MAE 6490 - Turbulence
3 credits
Fundamentals of turbulent fluid flow, with emphasis on providing student with sufficient physical and mathematical background to critically evaluate current literature and make original research contributions. Topics include stochastic tools, the governing equations, transition to turbulence, isotropic turbulence, measurement techniques, and free and wall bounded turbulent shear flows.
Prerequisite/Restriction: MAE 6410 or instructor permission
Semester(s) Traditionally Offered: Spring
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MAE 6500 - Potential Flow
3 credits
Inviscid, irrotational fluid flow with emphasis on aircraft analysis and design. Exact solutions with complex variables and conformal mapping; perturbation methods; singularity elements and influence coefficients; lifting-line method; numerical vortex lattice method; numerical panel methods; and software design and development.
Prerequisite/Restriction: MAE 5500
Semester(s) Traditionally Offered: Fall
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MAE 6510 - Aircraft Dynamics and Flight Simulation
3 credits
Aircraft control and maneuverability, control response and transfer functions, nonlinear dynamics with gyroscopic and aerodynamic coupling, Euler angle formulations, direction cosine formulation, quaternion formulation, numerical integration methods, software design and development.
Prerequisite/Restriction: MAE 5510
Semester(s) Traditionally Offered: Fall
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MAE 6530 - Propulsion Systems
3 credits
Fundamentals of turbine and rocket propulsion, including nozzle theory and thermodynamic relations, combustion processes, and flight performance. Rocket propulsion topics, including solid, liquid, and hybrid rocket engines; and advanced engine concepts. Turbine engine propulsion systems, including turbojets, turbofans, afterburners, and advanced unducted fan concepts.
Prerequisite/Restriction: MAE 5420
Semester(s) Traditionally Offered: Spring
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MAE 6540 - Advanced Astrodynamics
3 credits
Advanced topics in astrodynamics to include: general and special perturbations, universal variables, methods of orbit determination, Lambert’s theorem, the restricted three-body problem, and space mission planning.
Prerequisite/Restriction: MAE 5560
Semester(s) Traditionally Offered: Fall
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MAE 6550 - Advanced Structural Analysis
3 credits
Explores advanced structures in modern civil, mechanical, and aerospace systems. Emphasizes concepts through problem solving, and fosters an in-depth understanding of the subject. Provides understanding of the fundamental principles to analyze and design advanced structures.
Prerequisite/Restriction: MAE 6040
Semester(s) Traditionally Offered: Spring
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MAE 6560 - Spacecraft Navigation
3 credits
Fundamentals of aircraft and spacecraft navigation systems. Techniques in celestial and inertial navigation. Global Positioning System (GPS) principles. Least squares estimation and Kalman filtering for optimal estimation of stochastic systems.
Prerequisite/Restriction: MAE 5310 or ECE 5310 or equivalent
Cross-listed as: ECE 6560 .
Semester(s) Traditionally Offered: Spring
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