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

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

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.

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.

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.

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

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

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

Introduction to fluid flow concepts and equations; integral and differential forms of mass, momentum, and energy conservation with emphasis on one-dimensional flow; fluid statics; Bernoulli's equation; viscous effects; Courette flow, Poiseuille flow, and pipe flow; boundary layers; one-dimensional compressible flow; normal shock waves; flow with friction or heat addition; isothermal flow; and applications. Prerequisite: APMA 2130 or MATH 3250 or APMA 2501 - Differential Equations & Linear Algebra.

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.

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.

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.

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

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.

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.

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.

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.

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.

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

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. Must have completed MAE 2330 or MAE 3230.

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.

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.

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.

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.

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

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.

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: Fourth-year standing.

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.

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

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.

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.

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

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.

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.

Special topics in aerospace engineering

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.

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

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

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

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.

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

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.

For master's students.

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.

For doctoral students.

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.