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Catalog of Courses for Mechanical & Aerospace Engineering

MAE 1501
Special Topics in MAE Offered Spring 2026

Student-led special topic courses which vary by semester.

MAE 2000
Intro to Mechanical Engr

Overview of the mechanical engineer's role as analyst and designer. Introduction to manufacturing tools, equipment, and processes; properties of materials relative to manufacture and design; communication through engineering graphics; engineering drawing interpretation, sectioning, auxiliary views; and analysis and design of mechanical devices. Workshop includes CAD and solid modeling. Prerequisite: PHYS 1425, Corequisite: APMA 2120

MAE 2010
Intro to Aerospace Engineering

Historical introduction, standard atmosphere, basic aerodynamics, airfoils and wings, flight mechanics, stability and control, propulsion (airbreathing, rocket and space), orbital mechanics.

MAE 2020
Intro to Mechanical Engrng

Overview of the mechanical engineer's role as analyst and designer. Introduction to manufacturing tools, equipment, and processes; properties of materials relative to manufacture and design. Pre-requisite: PHYS 1425 or PHYS 1420 or PHYS 1710. Co-requisite: APMA 2120 or MATH 2310 or MATH 2315

MAE 2030
Intro to Aerospace Engineering

Historical introduction, standard atmosphere, basic aerodynamics, airfoils and wings, flight mechanics, stability and control, propulsion (airbreathing, rocket and space), orbital mechanics.

MAE 2040
Computer Aided Design Offered Spring 2026

Communication through engineering graphics; engineering drawing interpretation, sectioning, auxiliary views; and analysis and design of mechanical devices. Workshop includes CAD and solid modeling.

MAE 2100
Thermodynamics Offered Spring 2026

Includes the formulation of the first and second laws of thermodynamics; energy conservation; concepts of equilibrium, temperature, energy, and entropy; equations of state; processes involving energy transfer as work and heat; reversibility and irreversibility; closed and open systems; and cyclic processes. Prerequisite: APMA 1110 or MATH 1320

MAE 2300

Basic concepts of mechanics, systems of forces and couples: equilibrium of particles and rigid bodies; analysis of structures: trusses, frames, machines; internal forces, shear and bending moment diagrams; distributed forces; friction, centroids and moments of inertia; introduction to stress and strain; computer applications. Cross-listed as CE 2300. Prerequisite: PHYS 1425 or PHYS 1420 or PHYS 1710

MAE 2310
Strength of Materials Offered Spring 2026

Normal stress and strain, thermal strain, shear stress, shear strain; stress and strain transformations; Mohr's circle for plane stress and strain; stresses due to combined loading; axially loaded members; torsion of circular and thin-walled closed sections; statically indeterminate systems; deformation, strains and stresses in beams; beam deflections; column stability. Prerequisites: MAE 2300 or CE 2300

MAE 2320

Kinematic and kinetic aspects of motion modeling applied to rigid bodies and mechanisms. Focus on free-body-analysis. Use of work-energy and impulse-momentum motion prediction methods. Use of Cartesian and simple non-Cartesian coordinate systems. Rotational motion, angular momentum, and rotational kinetic-energy modeling; body mass rotational moment of inertia. Relative-velocity and acceleration. Prerequisite: MAE 2300 or CE 2300

MAE 2330
Mechanics Laboratory Offered Spring 2026

Application of experimental methods for the mechanical behavior of components and materials. Topics include mechanical measurement systems (load cells, accelerometers, extensometers, rotary sensors, etc.), truss design, destructive material testing methods (e.g. tensil test), connections, data analysis, experiment design and technical writing. Co-requisites: MAE 2320 Dynamics and MAE 2310 Strength of Materials.

MAE 2503
Spec Topics Aerospace Engr

Special topics in aerospace engineering

Course was offered:  Fall 2017 · Fall 2016 · Fall 2015
MAE 3010

Discussion of the Keplerian two-body problem; elliptic, parabolic, and hyperbolic orbits; solution of Kepler's equation and analogs; the classical orbital elements; orbit determination; prediction of future position and velocity; orbital perturbations; Lambert's problem. Prerequisites: MAE 2320.

MAE 3120
Thermal Systems Analysis

Analysis of thermodynamic cycles and energy conversion systems. Topics include multi-component system analysis, real fluids, chemical equilibrium, and renewable energy systems. Applications include power generation, internal combustion engines, refrigeration/heat pump systems, energy audits, fuel cells, bio-derived fuels, and solar, wind, and water energy systems. Prerequisite: MAE 2100.

Course was offered:  Fall 2021 · Fall 2019 · Fall 2018
MAE 3130
Nanoscale Heat Transfer

Development of fundamentals of heat transfer from a nanoscale or atomic perspective, as applied to nanotechnology and energy applications; topics include selected relevant concepts from Kinetic Theory, Quantum Mechanics, Solid State Physics, Statistical Thermodynamics, wave vs. particle transport theory, Landauer and Boltzmann Transport Formalisms, and thermoelectricity. Prerequisite: APMA 2130 or MATH 3250 or APMA 2501 - Differential Equations & Linear Algebra.

MAE 3140
Heat and Mass Transfer Offered Spring 2026

Analysis of steady state and transient heat conduction in solids with elementary analytical and numerical solution techniques; fundamentals of radiation heat transfer, including exchange among black and diffuse gray surfaces; free and forced convective heat transfer with applications of boundary layer theory and an introduction to mass transfer by diffusion using the heat-mass transfer analogy. Prerequisite: MAE 2100 and MAE 3210.

MAE 3210
Fluid Mechanics

Introduction to fluid flow concepts and equations; characteristics of a fluid; mass and momentum conservation equations; fluid statics including buoyancy; Reynolds¿ Transport Theorem; Bernoulli's equation; viscous effects; Couette and Poiseuille flow; pipe and internal flow systems; fluid power systems; external boundary layers; flow over objects and associated lift and drag forces.  Corequisite: APMA 3140 or equivalent. 

MAE 3220
Compressible Aerodynamics Offered Spring 2026

Boundary layers: similarity, Blasius and momentum integral methods. Ideal Flows: Kelvin's circulation theorem; complex potential; superposition; Kutta-Joukowski; thin airfoils; finite wings; lifting lines. Gas dynamics: sound waves; normal and oblique shocks; Prandtl-Meyer expansion; quasi 1D flows; converging-diverging nozzles; choked flows; diffusers; Rayleigh line and Fanno line flows. Prerequisites: MAE 2100 and MAE 3210

MAE 3230
Thermal Fluids Laboratory

Application of experimental methods for thermal-fluid behavior. Topics include fluid properties, pressure and buoyancy, jet momentum, dimensional analysis, pipe flow, data analysis, particle image velocimetry, and measurement uncertainty. The laboratory experience will include activities to reinforce principles from Thermodynamics (MAE 2100) and Fluid Mechanics (MAE 3210).  Corequisite: MAE 3210 OR MAE 3215 

MAE 3310
Aerospace Structures

Analyzes the design of elements under combined stresses; bending and torsional stresses in thin-walled beams; energy and other methods applied to statically determinate and indeterminate aerospace structural elements; buckling of simple structural members; and matrix and finite element analysis. Prerequisite: MAE 2310 or CE 2310.

MAE 3420
Computational Methods in MAE Offered Spring 2026

Introduces numerical modeling concepts used in engineering simulation tools like computational fluid dynamics and structural mechanics analysis software. Topics covered include discretization methods of partial differential equations, numerical solutions of linear matrix equations, and relaxation techniques for solving stiff equation sets. As part of the course, students will use Matlab, CFD, and mechanical analysis tools.

MAE 3503
Spec Topics Aero Engineering

Special topics in aerospace engineering

Course was offered:  Spring 2025
MAE 3610
Aerospace Materials

Introduces physical-chemical/microstructural and working mechanical properties, along with practical applications, for materials of wide interest on aerospace materials. Includes common metal, polymer, ceramic, and composite materials. Topics include standard materials names/designations; standard forming methods; usual strengthening means; temperature and temperature-history effects. Prerequisite CHEM 1410 or 1610 or CHEM 1810: Corequisite MAE 2310 or CE 2310.

MAE 3620
Machine Elem & Fatigue Design Offered Spring 2026

Applies mechanical analysis to the basic design of machine elements; basic concepts in statistics and reliability analysis, advanced strength of materials, and fatigue analysis; and the practical design and applications of materials to fastening systems, weldments, power screws, springs, journal and anti-friction bearings, gears, brake clutches and flexible power transmission elements. Prerequisites: MAE 3310.

MAE 3710
Mechanical Systems

Presents general concepts of dynamical systems modeling and provides mathematical tools to develop and analyze models that describe input/output behaviors of physical systems. Topics include basic elements of mechanical systems, transfer functions, frequency response, stability and poles, resonance and natural frequency, transient and time constant, steady state and DC gain, block diagrams. Prerequisites: MAE 2320 and APMA 2130

MAE 3730
Flight Vehicle Dynamics Offered Spring 2026

Introduces definitions and concepts and includes a review of longitudinal static stability; rigid body dynamics: general equations of motion, rotating coordinate systems; small disturbance theory; atmospheric flight mechanics, stability derivatives; motion analysis of aircraft; static and dynamic stability; aircraft handling qualities; and an introduction to flight control systems and automatic stabilization. Prerequisite: MAE 2320.

MAE 3810
Experimental Methods Lab

The study of basic concepts and methods in engineering measurements and data analysis. Basic topics include mechanical and electrical sensors and measurement instruments, measurement uncertainty, statistic and data analysis. Additional topics include digital signal processing and data acquisition systems using Labview. Applications are to mechanical and aero/thermofluids devices. Two lectures and two laboratory hours Prerequisite: PHYS 2415, MAE 2320; corequisite: APMA 3110

MAE 3820
Aerodynamics Laboratory Offered Spring 2026

Application of experimental methods to the design of experiments. Topics include data acquisition, hypothesis testing, and uncertainty assessment. Includes two experiments to investigate wing aerodynamic behaviors in a low speed wind tunnel and supersonic flow over a model or through a nozzle. Additional activities and experiments may vary to meet student interest. Prerequisite: MAE 2330 or MAE 3230.

MAE 3840
Mechanical Engineering Lab Offered Spring 2026

Application of experimental methods to the design of experiments. Topics include data acquisition, hypothesis testing, and uncertainty assessment. Students will complete an array of experiments requiring the examination of test equipment and procedures for heat transfer, mechanical and fluid systems. Pre-requisites: MAE 2330 or MAE 3230.

MAE 4120
Air Breathing Propulsion

Aero- and thermodynamics of compressible fluids in air-breathing and rocket engines. Performance and cycle analysis of air-breathing engines, emphasizing turbojets, turbofans, turboprops, and ramjets; space propulsion including rocket dynamics, thrust chamber thermodynamics, and propulsion performance; performance of axial-flow and centrifugal compressors; turbines; and the matching of engine components. Prerequisite: MAE 3210 and MAE 2100.

MAE 4260
Robotic Autonomy

Principles of robotic autonomy for navigating unstructured environments using mathematical principles. Basic probability theory, numerical techniques for recursive Bayesian estimation and multi-sensor data fusion, Simultaneous Localization and Mapping, quantification of belief, and autonomous control. Prerequisites: MAE 2320 Dynamics and CS 1110 or CS 1111 or CS 1112 Introduction to Programming, or instructor's permission.

MAE 4270
Experimental Robotics

Mechanical design and build of a robot complete with sensors and actuators. Install Robot Operating System (ROS) and operate. Communication using ROS. Integration of microcontrollers and onboard computers. Object recognition. Simultaneous Localization and Mapping (SLAM) of the environment. Pre-requisites: 4th year standing or instructor's permission

Course was offered:  Fall 2024 · Fall 2023 · Fall 2022
MAE 4280
Motion Biomechanics

Focuses on the study of forces (and their effects) that act on the musculoskeletal structures of the human body. Based on the foundations of functional anatomy and engineering mechanics (rigid body and deformable approaches); students are exposed to clinical problems in orthopedics and rehabilitation. Cross-listed as BIOM 4280. Prerequisite: MAE 2310 and 2320.

MAE 4300
Wind Energy

Fundamentals of modern wind turbines with emphasis on mechanical and aerospace engineering aspects as well as design and economic considerations. Topics include wind resources, aerodynamics and performance, control of turbine dynamics for power and safety, structural loads and response, blade materials and design, siting and installation, and economic drivers of wind systems. Prerequisite: MAE/CE 3210 or MAE 3215

Course was offered:  Spring 2025
MAE 4501
Spec Topics in Mechanical Engr Offered Spring 2026

Applies basic engineering science, design methods, and systems analysis to developing areas and current problems in mechanical engineering. Topics vary based on student and faculty interest. Prerequisite: 3rd or 4th year standing.

MAE 4502
Spec Topics in Mechanical Engr Offered Spring 2026

Applies basic engineering science, design methods, and systems analysis to developing areas and current problems in mechanical engineering. Topics vary based on student and faculty interest.

MAE 4503
Special Topics: Aerospace Engr

Applies basic engineering science, design methods, and systems analysis to developing areas and current problems in aerospace engineering. Topics vary based on student and faculty interest. Prerequisite: Third or Fourth-year standing.

Course was offered:  Fall 2019 · Fall 2018 · Fall 2015
MAE 4504
Special Topics: Aerospace Engr Offered Spring 2026

Applies basic engineering science, design methods, and systems analysis to developing areas and current problems in aerospace engineering. Topics vary based on student and faculty interest. Prerequisite: Third or Fourth-year standing.

MAE 4511
Mech Engr Special Project

Individual survey, analysis, or apparatus project in the mechanical engineering field, concluded with the submission of a formal report. Subject originates with students wishing to develop a technical idea of personal interest. One hour conference per week. Prerequisite: Professional standing and prior approval by a faculty member who is project supervisor. Prerequisite: fourth year standing.

MAE 4512
Mechanical Engr Spec Project Offered Spring 2026

Individual survey, analysis, or apparatus project in the mechanical engineering field, concluded with the submission of a formal report. Subject originates with students wishing to develop a technical idea of personal interest. One hour conference per week. Prerequisite: Professional standing and prior approval by a faculty member who is project supervisor. Prerequisite: fourth year standing.

MAE 4513
Aerospace Engrng Special Prjct

Applied research in areas pertinent to aerospace engineering; conducted in close consultation with a departmental faculty advisor. Includes the design and construction of experiments, analysis, or the investigation of physical phenomena. The research may be related to ongoing faculty research and may be the topic of the senior thesis, but its scope must be significantly beyond that required for the thesis. Prerequisite Fourth yr. standing.

MAE 4514
Aerospace Engrng Special Prjct Offered Spring 2026

Applied research in areas pertinent to aerospace engineering; conducted in close consultation with a departmental faculty advisor. Includes the design and construction of experiments, analysis, or the investigation of physical phenomena. The research may be related to ongoing faculty research and may be the topic of the senior thesis, but its scope must be significantly beyond that required for the thesis. Prerequisite Fourth yr. standing

MAE 4605
Manufacturing & Proc Tech

Includes familiarization with concepts of mass production tooling and automation; metallurgical and mechanical aspects of machining and metal forming; and experiments with machine tools. Prerequisite: MAE 2000, MAE 3620.

MAE 4610
ME Design I

Coverage of the design process including project management, specifications, budgeting and case histories, Conceptual, preliminary, and detailed design phases. Technical proposal and report preparation and technical presentations. Organization of design teams to work on specific semester long mechanical design projects selected to illustrate the design process. Engineering 4th Year Standing or instructor permission.

MAE 4620

A continuation of MAE 4610 that applies the design process to projects. Organization of design teams to work on specific semester-long design projects, including oral presentations and written reports. Pre- or Co-Requisite MAE 4610

MAE 4650
Aircraft Design I

Analyze design requirements for and produce conceptual design of an aircraft. Includes synthesis of materials, structures, propulsion, flight mechanics, stability and control, interior and external configuration, cockpit design and all systems. Work in teams. Trade studies and optimization. State-of-the-art report, presentations and interimreport. Prerequisite: MAE 3220, MAE 3310, MAE 3730; Corequisite: MAE 4120.

MAE 4660
Aircraft Design II

A continuation of MAE 4650. Completion of preliminary aircraft design, with cost analysis and manufacturability considerations. Submission of final report. Prerequisite: MAE 4650.

MAE 4670
Creativity and Product Dev I

Engineering design process by engaging teams of students in design activities that results in useful and novel products. Stages of the typical product design process, concepts of intellectual property and its protection through patents, copyrights, trademarks, and trade secrets, and the technical tools of modern engineering practice, including solids modeling and rapid prototyping. Prerequisite: 4th year standing - ENU

Course was offered:  Fall 2015 · Fall 2014 · Fall 2013
MAE 4680
Creativity and Product Dev II

Creating working prototypes, development of business plans for commercialization, and writing of proposals for external funding.Prerequisite: MAE 4670.

Course was offered:  Spring 2016 · Spring 2015 · Spring 2014
MAE 4690
Spacecraft Design I

This course will examine the multidisciplinary aspects of spacecraft design for a NASA mission. Students will work in teams on an open ended multidisciplinary design problem using industrial methodologies. Students will be introduced to space mission engineering and spacecraft design. Students will conduct mission concept definition and exploration, requirements definition and conceptual design of the spacecraft. Requisite: 4th-Year Standing

MAE 4700
Spacecraft Design II

The course will result in the detailed design of the spacecraft, the fabrication of a full scale prototype and a proposal to NASA for funding of the real spacecraft and mission. The spacecraft will be designed to conform to the small satellite class, with a weight under 100 kg and a size less than 1 m. It will be designed for low-Earth orbit, geosynchronous orbit or a space exploration mission. Requisite: MAE 4690

MAE 4710

Presents the synergistic integration of mechanical engineering with electronics and computer control in the design of industrial products and processes. Surveys basic electronics, electromechanical actuators, analog and digital signals, sensors, basic control algorithms, and microcontrol programming. Weekly laboratory exercises and a final design project. Prerequisite: Third year standing in ME or AE or instructor permission.

MAE 4720
Advanced Mechatronics

Mechatronics studies synergistic integration of mechanical engineering, electronics, and intelligent control in the design and manufacture of devices. Advanced Mechatronics follows MAE 4710 Mechatronics and dives deeper into circuits, electromechanical actuators, analog and digital signals, sensors, control algorithms, and microcontroller programming. An emphasis is placed on synergistically combining components to design and invent new products.

MAE 4730
Intro to Automatic Controls Offered Spring 2026

Discusses the mathematics of feedback control systems; transfer functions; basic servo theory; stability analysis; root locus techniques; and graphical methods. Applications to analysis and design of mechanical systems, emphasizing hydraulic, pneumatic, and electromechanical devices. Prerequisite: MAE 2320 and 3710.

MAE 4740
Mechanical Vibrations

Studies free and forced vibration of damped and undamped single and multiple degree of freedom systems. Includes modeling of discrete and continuous mass systems; application to vibration measurement instruments; analysis of concepts of modal analysis; concepts of linear stability; application to rotating machinery, Prerequisite MAE 2320, corequisite MAE 3710

MAE 4790
AE Design I

Analyze design requirements for and produce the conceptual design of an aircraft or a spacecraft. Includes synthesis of materials, structures, propulsion, flight mechanics, avionics, data handling and telemetry, stability and control, interior and external configuration, and all systems. Exploration of industrial design tools and program management strategies. Work in teams. Oral presentations and report writing. Design topics vary. Pre-requisite: 4th Year Standing in Aerospace Engineering

Course was offered:  Fall 2025 · Fall 2024
MAE 4800

A continuation of MAE 4790. Completion of the design topics. Includes the option to advance the design to the critical design stage and build prototypes. Final report and oral presentations. Pre-requisite: MAE 4790

Course was offered:  Spring 2026 · Spring 2025
MAE 4990
Prof Dev in ME and AE

Review of the fundamental topics in Mechanical and Aerospace Engineering covered on the Fundamentals of Engineering licensure examination. Prerequisites: MAE 3140, 4710, 3620.

Course was offered:  Fall 2013
MAE 6020
Continuum Mechanics

Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed as APMA 6020, AM 6020. Taught concurrently w/ CE 6720. Prerequisite: Instructor permission.

MAE 6070
Theory of Elasticity Offered Spring 2026

Concepts of stress, strain, equilibrium, compatibility; Hooke's law (isotropic materials); displacement and stress formulations of elasticity problems; plane stress and strain problems in rectangular coordinates (Airy's stress function approach); plane stress and strain problems in polar coordinates, axisymmetric problems; thermal stress; and energy methods.

MAE 6080
Constitutive Modeling Biosys

The course covers state-of-the-art mechanical models to describe the constitutive behavior of hard and soft tissues with emphasis on biological form following physiological function. The course will cover linear and nonlinear elasticity, viscoelasticity, poroelasticity, and biphasic constitutive relations in the context of biological systems and will include the dependence of macroscopic behavior and properties on material microstructure. Prerequisite: MAE 6020

MAE 6100
Thermomechanics Offered Spring 2026

Review of classical thermodynamics; introduction to kinetic theory; quantum mechanical analysis of atomic and molecular structure; statistical mechanical evaluation of thermodynamic properties; chemical thermodynamics and equilibria. Prerequisite: Graduate standing.

MAE 6110
Heat & Mass Trans Phenom Offered Spring 2026

Fundamentals of conduction and convection heat and mass transfer. Derivation and application of conservation equations for heat and mass transfer in laminar and turbulent flows. Steady, unsteady and multidimensional transport. Applications to free and confined flows in forced, natural and mixed convection regimes. Phase change problems with moving boundaries, condensation and evaporation. High speed flows. Prerequisite: Undergraduate fluid mechanics or instructor permission.

Course was offered:  Spring 2026 · Fall 2023 · Spring 2021
MAE 6120
Microscale Heat Transfer

This course will begin with a study of the fundamental microscopic energy carriers (definitions, properties, energy levels and disruptions of photons, phonons, and electrons.) Transport of energy will then be investigated with an emphasis on microscale effects in space and in time. The approaches used to describe microscale heat transportation differ significantly from the macroscopic phenomenological approaches and include new physical mechanisms. They often involve solution of the Boltzman transport equation and the equation of phonon radiative transfer. These approaches will be introduced with an emphasis on ultra-short time scale heating and ultra-low temperatures. Prerequisite: Instructor Permission

MAE 6210
Analytical Dynamics

Classical analytical dynamics from a modern mathematical viewpoint: Newton's laws, dynamical variables, many particle systems; the Lagrangian formulation, constraints and configuration manifolds, tangent bundles, differential manifolds; variational principles, least action; non-potential forces; constrained problems; linear oscillations; Hamiltonian formulation: canonical equations, Rigid body motion. Prerequisite: Undergraduate physics, ordinary differential equations.

MAE 6230
Vibrations

Topics include free and forced vibrations of undamped and damped single- and multi-degree-of-freedom systems; modal analyses; continuous systems; matrix formulations; finite element equations; direct integration methods; and eigenvalue solution methods. Cross-listed as CE 6731. Prerequisite: Instructor permission.

MAE 6250
Multibody Mechanical Systems Offered Spring 2026

Analytical and computational treatment for modeling and simulation of 3-Dimensional multibody mechanical systems. Provide a systematic and consistent basis for analyzing the interactions between motion constraints, kinematics, static, dynamic, and control behavior of multibody mechanical systems. Applications to machinery, robotic devices and mobile robots, biomechanical models for gait analysis and human motions, and motion control. Matrix modeling procedures with symbolic and numerical computational tools will be utilized for demonstrating the methods developed in this course. Focus on the current research and computational tools and examine a broad spectrum of physical systems where multibody behavior is fundamental to their design and control. Prerequisite: Engineering degree and familiarity with a programming language.

MAE 6260
Robotic Autonomy

Principles of robotic autonomy for navigating unstructured environments using mathematical principles. Basic probability theory, numerical techniques for recursive Bayesian estimation and multi-sensor data fusion, Simultaneous Localization and Mapping, quantification of belief, and autonomous control. Prerequisites: undergraduate dynamics, a programming course in Python, C++, or Matlab; or instructor's permission.

MAE 6270
Experimental Robotics

Mechanical design and build of a robot complete with sensors and actuators. Install Robot Operating System (ROS) and operate. Communication using ROS. Integration of microcontrollers and onboard computers. Object recognition. Simultaneous Localization and Mapping (SLAM) of the environment. Prerequisites: undergraduate dynamics; a programming course in Python, C++, or MATLAB; or instructor's permission

Course was offered:  Fall 2024 · Fall 2023 · Fall 2022
MAE 6290
Turbulence and Multiphase Flow Offered Spring 2026

Discussion of turbulence in engineering and natural systems; turbulent flow physics and statistical properties for velocity, kinetic energy, and dissipation; turbulent length, velocity, and time scales; turbulence governing equations and modeling.  Multiphase flow in engineering and natural systems; particle characteristics, multiphase flow equations of motion, trajectories and coupling regimes, including turbulent particle interactions.  Prerequisite MAE 3210 or CE 3210 or equivalent 

Course was offered:  Spring 2026
MAE 6300
Wind Energy

Fundamentals of modern wind turbines with emphasis on mechanical and aerospace engineering aspects as well as design and economic considerations.  Topics include wind resources, aerodynamics and performance, control of turbine dynamics for power and safety, structural loads and response, blade materials and design, siting and installation, and economic drivers of wind systems. Prerequisite: MAE/CE 3210 Fluid Mechanics or equivalent

Course was offered:  Spring 2025
MAE 6310
Fluid Mechanics I Offered Spring 2026

The topics covered are: dimensional analysis; physical properties of fluids; kinematic descriptions of flow; streamlines, path lines and streak lines; stream functions and vorticity; hydrostatics and thermodynamics; Euler and Bernoulli equations; irrotational potential flow; exact solutions to the Navier-Stokes equation; effects of viscosity - high and low Reynolds numbers; waves in incompressible flow; hydrodynamic stability. Prerequisite: Graduate Standing

MAE 6360
Gas Dynamics

Analyzes the theory and solution methods applicable to multi-dimensional compressible inviscid gas flows at subsonic, supersonic, and hypersonic speeds; similarity and scaling rules from small-petrurbation theory, introduction to transonic and hypersonic flows; method-of-characteristics applications to nozzle flows, jet expansions, and flows over bodies one dimensional non-steady flows; properties of gases in thermodynamic equilibrium, including kinetic-theory, chemical-thermodynamics, and statistical-mechanics considerations; dissociation and ionization process; quasi-equilibrium flows; and introduction to non-equilibrium flows. Prerequisite: MAE 6100.

Course was offered:  Fall 2025 · Fall 2024 · Spring 2022
MAE 6410
Engineering Mathematics I

Review of ordinary differential equations, initial/boundary value problems. Linear algebra including systems of linear equations, matrices, eigenvalues, eigenvectors, diagonalization. Solution of partial differential equations that govern physical phenomena in science and engineering by separation by variables, superposition, Fourier series, variation of parameter, d'Alembert's solution. Cross-listed as APMA 6410. Prerequisite: Graduate standing.

MAE 6420
Engineering Mathematics II

Further and deeper understanding of partial differential equations that govern physical phenomena in science and engineering. Solution of linear partial differential equations by eigenfunction expansion techniques. Green's functions for time-independent and time-dependant boundary value problems. Fourier transform methods, and Laplace transform methods. Solution of variety of initial-value, boundary-value problems. Various physical applications. Study of complex variable theory. Functions of complex variable, the complex integral calculus, Taylor series, Laurent series, and the residue theorem, and various applications. Serious work and efforts in the further development of analytical skills and response. Cross-listed as APMA 6420. Prerequisite: Graduate standing and APMA/MAE 6410 or equivalent.

MAE 6430
Statistics Engrs & Scientists Offered Spring 2026

Role of statistics in science, hypothesis tests of significance, confidence intervals, design of experiments, regression, correlation analysis, analysis of variance, and introduction to statistical computing with statistical software libraries. Cross-listed as APMA 6430. Prerequisite: Admission to graduate studies or instructor permission.

MAE 6555
Spec Topics Distance Learning
MAE 6592
Spec Topcs in Mech & Aero Engr Offered Spring 2026

Study of a specialized, advanced, or exploratory topic relating to mechanical or aerospace engineering science, at the first-graduate-course level. May be offered on a seminar or a team-taught basis. Subjects selected according to faculty interest. New graduate courses are usually introduced in this form. Specific topics and prerequisites are listed in the Course Offering Directory.

MAE 6594
Special Graduate Project

A design or research project for a first-year graduate student under the supervision of a faculty member. A written report must be submitted and an oral report presented. Up to three credits from either this course or MAE 7540 may be applied toward the master's degree. Prerequisite: Students must petition the department Graduate Studies Committee before enrolling.

MAE 6600
Intro to Control Systems Offered Spring 2026

This course has been developed for general graduate students and advanced undergraduate students in engineering. Assuming only basic knowledge of matrix operations, differential equations and electric circuits, the course aims to introduce, through numerous examples, fundamental concepts and tools for the analysis and design of control systems.

MAE 6610
Linear Automatic Cntrl Systems

Studies the dynamics of linear, closed-loop systems. Analysis of transfer functions; stability theory; time response, frequency response; robustness; and performance limitations. Design of feedback controllers. Cross-listed as ECE 6851. Prerequisite: Instructor permission.

MAE 6620
Linear State Space Systems

A comprehensive treatment of the theory of linear state space systems, focusing on general results which provide a conceptual framework as well as analysis tools for investigation in a wide variety of engineering contexts. Topics include vector spaces, linear operators, functions of matrices, state space description, solutions to state equations (time invariant and time varying), state transition matrices, system modes and decomposition, stability, controllability and observability, Kalman decomposition, system realizations, grammians and model reduction, state feedback, and observers. Cross-listed as SYS 6012 and ECE 6852. Prerequisite: Graduate standing.

MAE 6710
Finite Element Analysis Offered Spring 2026

The topics covered are: review of vectors, matrices, and numerical solution techniques; discrete systems; variational formulation and approximation for continuous systems; linear finite element method in solid mechanics; formulation of isoparametric finite elements; finite element method for field problems, heat transfer, and fluid dynamics. Prerequisite: MAE 6020 or equivalent

MAE 6720
Computational Fluid Dynamics I

Includes the solution of flow and heat transfer problems involving steady and transient convective and diffusive transport; superposition and panel methods for inviscid flow, finite-difference methods for elliptic, parabolic and hyperbolic partial differential equations, elementary grid generation for odd geometries, primitive variable and vorticity-steam function algorithms for incompressible, multidimensional flows. Extensive use of personal computers/workstations, including interactive graphics. Prerequisite: MAE 6310 or instructor permission.

MAE 6780
CPS Technology and Ethics

This course is designed to develop cross-competency in the technical, analytical, and professional capabilities necessary for the emerging field of Cyber-Physical Systems (CPS). It provides convergence learning activities based around the applications, technologies, and system designs of CPS as well as exploring the ethical, social, and policy dimensions of CPS work. The course also emphasizes the importance of communication as a necessary skill.

Course was offered:  Fall 2025 · Fall 2024 · Fall 2023
MAE 6870
Applied Engineering Optics

Analyzes modern engineering optics and methods; fundamentals of coherence, diffraction interference, polarization, and lasing processes; fluid mechanics, heat transfer, stress/strain, vibrations, and manufacturing applications; laboratory practice: interferometry, schlieren/shadowgraph, and laser velocimetry. Prerequisite: PHYS 2415.

Course was offered:  Fall 2025 · Fall 2022 · Fall 2020
MAE 6993
Independent Study: Interm Levl Offered Spring 2026

Independent study of first-year graduate level material under the supervision of a faculty member. Prerequisite: Students must petition the department Graduate Studies Committee before enrolling.

MAE 7030
Injury Biomechanics

This is an advanced applications course on the biomechanical basis of human injury and injury modeling. The course covers the etiology of human injury and state-of-the-art analytic and synthetic mechanical models of human injury. The course will have a strong focus on modeling the risk of impact injuries to the head, neck, thorax, abdomen and extremities. The course will explore the biomechanical basis of widely used and proposed human injury criteria and will investigate the use of these criteria with simplified dummy surrogates to assess human injury risk. Brief introductions to advanced topics such as human biomechanical variation with age and sex, and the biomechanics of injury prevention will be presented based on current research and the interests of the students. Prerequisite: MAE 6080.

MAE 7150
Combustion

Reviews chemical thermodynamics, including conservation laws, perfect gas mixtures, combustion chemistry and chemical equilibrium; finite-rate chemical kinetics; conservation equations for multicomponent reacting systems; detonation and deflagration waves in premixed gases; premixed laminar flames; gaseous diffusion flames and droplet evaporation; introduction to turbulent flames; chemically-reacting boundary-layer flows; ignition; applications to practical problems in energy systems, aircraft propulsion systems, and internal combustion engines. Projects selected from topics of interest to the class. Prerequisite: Undergraduate thermodynamics and MAE 6310, or instructor permission.

Course was offered:  Fall 2024 · Spring 2017
MAE 7510
Research Seminar

Required one-hour weekly seminar for master's students in mechanical and aerospace and nuclear engineering. Students enrolled in MAE 8999 or 6594/7540 make formal presentations of their work.

MAE 7520
Spec Top Mech/Aerospc Engr Sci

A specialized, advanced, or exploratory topic relating to mechanical or aerospace engineering science, at the second-year or higher graduate level. May be offered on a seminar or team-taught basis. Subjects selected according to faculty interest. Topics and prerequisites are listed in the Course Offering Directory.

Course was offered:  Fall 2020 · Fall 2018
MAE 7530
Independent Study: Adv Level

Independent study of advanced graduate material under the supervision of a faculty member. Prerequisite: Students must petition the department Graduate Studies Committee before enrolling.

MAE 7540
Special Graduate Project

A design or research project for an advanced graduate student under the supervision of a faculty member. A written report must be submitted and an oral report must be presented. Up to three credits of either this course or MAE 6594 may be applied toward the master's degree. Prerequisite: Students must petition the department Graduate Studies Committee before enrolling.

MAE 7650
Multivariable Control

State space theories for linear control system design have been developed over the last 40 years. Among those, H2 and Hinf control theories are the most established, powerful, and popular in applications. This course focuses on these theories and shows why and how they work. Upon completion of this course, student will be confident in applying the theories and will be equipped with technical machinery that allows them to thoroughly understand these theories and to explore new control design methods if desired in their own research. More importantly, students will learn a fundamental framework for optimal system design from a state perspective. Cross-listed as ECE 7855. Prerequisite: MAE 6620.

Course was offered:  Fall 2017 · Spring 2015
MAE 7660
Nonlinear Control Systems

Studies the dynamic response of nonlinear systems; approximate analytical and graphical analysis methods; stability analysis using the second method of Liapunov, describing functions, and other methods; adaptive, learning, and switched systems; examples from current literature. Cross-listed as ECE 7856. Prerequisite: ECE 6851 or instructor permission.

MAE 7680
Digital Control Systems

Topics include sampling processes and theorems, z-transforms, modified transforms, transfer functions, stability criteria; analysis in both frequency and time domains; discrete-state models for systems containing digital computers; and applications using small computers to control dynamic processes. Cross-listed as ECE 7858. Prerequisite: MAE 5265 or instructor permission.

Course was offered:  Spring 2017 · Spring 2015
MAE 7720
Computationl Fluid Dynamics II

A continuation of MAE 6720. More advanced methods for grid generation, transformation of governing equations for odd geometries, methods for compressible flows, methods for parabolic flows, calculations using vector and parallel computers. Use of personal computers/workstations/supercomputer, including graphics. Prerequisite: MAE 6720 or instructor permission.

Course was offered:  Fall 2025
MAE 8100
Research Seminar, MAE Offered Spring 2026

Required one-hour weekly seminar for graduate students in mechanical and aerospace engineering. Students enrolled may make formal presentations of their research work. 

Course was offered:  Spring 2026
MAE 8591
Research Seminar

Required one-hour weekly seminar for doctoral students in mechanical, aerospace, and nuclear engineering. Students enrolled in MAE 9999 may make formal presentations of their work.

MAE 8999
Non-Topical Research, Masters Offered Spring 2026

Formal documentation of faculty supervision of thesis research. Each full-time, resident Master of Science student in mechanical and aerospace engineering is required to register for this course for the number of credits equal to the difference between his or her regular course load (not counting the one-credit MAE 7510 seminar) and 12.

MAE 9999
Non-Topical Research, Doctoral Offered Spring 2026

Formal documentation of faculty supervision of dissertation research. Each full-time resident doctoral student in mechanical and aerospace engineering is required to register for this course for the number of credits equal to the difference between his or her regular course load (not counting the one-credit MAE 8591 seminar) and 12.