Mechanical Engineering, M.S.

3 Credits Applied Mathematics in Mechanical Engineering ME-GY 6003

The course covers vector and tensor calculus. Topics: Ordinary differential equations. Laplace and Fourier Transforms. Sturm-Liouville problems. Partial differential equations. Applications to structural analysis, fluid mechanics and dynamical systems.
Prerequisite: Graduate standing or advisor approval

3 Credits Thermal Engineering Fundamentals ME-GY 6043

Presentation of basic scientific and engineering principles that all energy systems must satisfy, including thermodynamic, fluid mechanic and heat transfer principles that constrain or facilitate energy systems.
Prerequisite: Graduate standing or advisor approval

3 Credits Introduction to Solid Mechanics ME-GY 6213

The course explores fundamentals of kinematics of solid bodies; displacement and strain measures, introduction to statics of solid bodies, stress tensor, equilibrium equations. Topics include analysis of columns, beams and beams on elastic foundations.
Prerequisite: Graduate standing or advisor approval

3 Credits Linear Control Theory and Design I ME-GY 6703

The course covers modeling of mechanical systems (e.g., mechatronic, vibrational, robotic and smart systems) in state-space. Topics: Description and analysis of linear mechanical systems, transform and transition matrix methods and properties such as stability, controllability/stabilizability, observability/detectability.
Prerequisite: Graduate standing or advisor approval

Fluids and Energy Engineering 

A minimum of two additional courses (6 credits) must be selected from

3 Credits Thermodynamics of Hvac Systems ME-GY 6153

Principles of thermodynamics. Description of HVAC systems. Vapor compression and adsorption cycles. Heat pump cycles. Geothermal systems. Solar heating and cooling systems. Phychometric analysis for design and off-design conditions. Indoor environmental quality analysis. Green and sustainable systems.
Prerequisite: ME-UY 3333 or advisor approval

3 Credits Fluid Mechanics for Hvac Systems ME-GY 6163

Fundamentals of fluid mechanics. Centrifugal pumps and system-pump characteristics. Piping systems fundamentals and design. Jets and air diffusers. Fans, fan performance, installation and testing. Duct sizing and design. Design of sprinkler systems.
Prerequisites: ME-UY 3313 or advisor approval

3 Credits Heat Transfer for Hvac Systems ME-GY 6173

Fundamentals of heat transfer. Solar radiation fundamental. Heat transmission in buildings and space heat load calculations. Space cooling load calculations. Energy calculations; degree by day procedure, bin methods and building simulation methods. Energy modeling and conformance with NYS Code. Extended surface heat exchangers. LEED Score sheet and design for green buildings.
Prerequisite: ME-UY 4313 or advisor approval

3 Credits Design of Hvac Systems ME-GY 6183

This course involves the dynamic and sustainable design process to perform a complete design of HVAC systems for a commercial or residential building using state of the art software and processes. Design schematic phase. Design development phase. Construction documents phase. Students work on specific project, design a system through all stages.
Prerequisite: ME-UY 4313 or advisor approval

3 Credits Energy Conversion Systems ME-GY 6813

This course provides description and analysis of current and future energy systems including fuel sources, energy harvesting, energy delivery to the point of conversion, energy conversion to heat or electricity, distribution to end users, basic economics of power plant and environmental impact. Security, reliability and life cycle cost considerations are reviewed and analyzed for impact on selecting the optimum energy systems.
Prerequisite: Graduate Standing

3 Credits Energy Policy, Regulations, and Incentives ME-GY 6823

This course focuses on impact of local, state and national policy on energy choices. Regulatory limitations and incentives influencing energy options and economics. Quantitative trade off analyses of various technically feasible options when policies, regulations and incentives are considered. Environmental impact, positive as well as negative, of energy systems are analyzed. Costs of mitigating negative environmental impact are reviewed and their impact on the choice of a system is analyzed through case studies presented in term papers.
Prerequisite: Graduate Standing

3 Credits Energy Project Financing ME-GY 6833

Analysis of current and projected fuel costs, capital costs, maintenance costs, operating and environmental costs, and infrastructure costs of various competing energy systems. A term project providing an in-depth analysis of one candidate system is required. Student teams present the results of their work advocating for their system. A panel of judges will decide which group makes the best case for its system.
Prerequisite: ME-GY 6823

3 Credits Convective Heat Transfer ME-GY 7063

The course examines developments and applications of laminar hydrodynamic and thermal boundary layer equations for fluid media. Topics: Mechanics of turbulence; formulation and analysis of turbulent hydrodynamics and thermal applications; natural convection and film evaporation and condensation.
Prerequisite: ME-GY 6043 or adviser approval.

3 Credits Conductive Heat Transfer ME-GY 7073

This course covers theoretical development of transient and steady-state temperature distributions in finite and infinite solids. Topics: Pertinent mathematical techniques introduced as required. Solids undergoing phase change and two dimensional fields.
Prerequisite: ME-GY 6003 and ME-GY 6043 or adviser approval.

3 Credits Radiative Heat Transfer ME-GY 7083

This course covers fundamentals of radiative mechanisms of energy transfer. Topics: Definitions of basic qualities. Equations of transfer, radiative heat flux vector and conservation equations. Properties of surfaces and participating media. Applications to engineering systems.
Prerequisite: ME-GY 6003 and ME-GY 6043 or adviser approval.

3 Credits Viscous Flow and Boundary Layers ME-GY 7113

The course introduces molecular and macroscopic transport. Topics: Reynold's transport theorem.Concepts of stress and strain and derivation of the Navier-Stokes equations. Similarity principle. Exact solutions to the Navier-Stokes equations. Low Reynolds number flows. Boundary layer theory. Momentum integral equation. Introduction to turbulence.
Prerequisite: ME-GY 6003 and ME-GY 6043 or adviser approval.

3 Credits Compressible Flow ME-GY 7133

The course examines fundamentals of compressible fluid flow, including subsonic, transonic, supersonic and hypersonic flows over two-dimensional and axisymmetric bodies. Topics: One-dimensional flows with friction and heat addition. Shock-wave development in both two-dimensional steady and one-dimensional unsteady flow systems, including flow in shock tubes. Quasi-one-dimensional compressible flow, including flows in inlets, nozzles and diffusers. Introduction to numerical solution of compressible fluid flow.
Prerequisite: ME-GY 6043 or adviser approval.

3 Credits Computational Fluid Mechanics and Heat Transfer ME-GY 7153

The course centers on engineering solution of thermo-fluid problems by finite-difference methods, error and stability analyses, numerical dispersion and damping, matrix inversion methods, solution of model equations: wave, heat, Laplace, viscous and inviscid Burger's equations. Also covered are implicit and explicit procedures, SOR, ADI, hopscotch and direct solvers for evaluating linear and nonlinear diffusion and convection problems.
Prerequisite: ME-GY 6003 and ME-GY 6043 or adviser approval.

ME/ROB xxxx Electives Approved by the Graduate Adviser, Credits: 6.00 total

Free Electives, Credits: 6.00 total

Controls and Dynamic Systems Specialty

A minimum of two additional courses (6 credits) must be selected from

3 Credits Mechatronics ROB-GY 5103

Introduction to theoretical and applied mechatronics, design and operation of mechatronics systems; mechanical, electrical, electronic, and opto-electronic components; sensors and actuators including signal conditioning and power electronics; microcontrollers?fundamentals, programming, and interfacing; and feedback control. Includes structured and term projects in the design and development of proto-type integrated mechatronic systems.

3 Credits Microelectromechanical Systems ME-GY 5653

The course covers materials for MEMS, fundamentalof solid mechanics, electrostatics and electromagnetics. Topics: Electromechanical modeling and design of micromachined sensors and actuators. Microscale physics of microsystems. Overview of MEMS applications. Packaging and testing.
Prerequisite: Graduate standing or advisor approval

3 Credits Advanced Dynamics ME-GY 6513

The course covers kinematics and dynamics of a particle in space. Topics: Systems of particles. Two-body central force problem. Kinematics and dynamics of rigid bodies. Euler's equations. Euleragrange equations with holonomic and nonholonomic constraints. Stability analysis. Introduction to calculus of variations. Hamilton's principle. Hamilton's equations.
Prerequisite: Graduate standing or advisor approval.

3 Credits Sensor Based Robotics ME-GY 6613

Topics in this course include robot mechanisms, robot arm kinematics (direct and inverse kinematics), robot arm dynamics (Euler Lagrange, Newton-Euler and Hamiltonian Formulations), six degree-of-freedom rigid body kinematics and dynamics, quaternion, nonholonomic systems, trajectory planning, various sensors and actuators for robotic applications, end-effector mechanisms, force and moment analysis and introduction to control of robotic manipulators. Co-listed as ME-GY 5223
Prerequisite: Graduate standing or advisor approval.

3 Credits Linear Control Theory and Design II ME-GY 6713

The course considers fundamentals of system realizations and random processes. Topics: Performance objectives for mechanical systems (e.g., mechatronic, vibrational, robotic and smart systems). Optimal design of state feedback controllers, observers and output feedback controllers for mechanical systems.
Prerequisite: ME-GY 6703 or adviser approval.

3 Credits Non-linear Systems: Analysis & Control ME-GY 7613

The course introduces nonlinear phenomenon, behavior and analysis of second-order nonlinear systems, fundamental properties of solutions of nonlinear ordinary differential equations, Lyapunov stability theory, absolute stability theory, describing functions, dissipativity, advanced topics.
Prerequisite: ME-GY 6003 and ME-GY 6713 or adviser approval.

3 Credits Co-operative Control ME-GY 7623

The course examines fundamentals of set theory, metric spaces, linear spaces, matrix theory and differential equations. Topics: Lyapunov stability. Algebraic graph theory. Consensus theory. Linear switched systems. Stochastic convergence. Averaging methods. Synchronization problems. Applications to multivehicle robotic teams, epidemic spreading and opinion dynamics.
Prerequisite: ME-GY 6003 and ME-GY 6703 or adviser approval.

3 Credits Optimal Robust Control ME-GY 7703

The course looks at mathematical preliminaries, matrix theory fundamentals, linear system properties, stability theory, constrained optimization and performance characterization: deterministic/stochastic formulations, Lagrange multiplier versus linear-matrix-inequality formulation of linear quadratic regulation (LQR), state estimation and dynamic output feedback control problems, static output feedback, regulation versus tracking problems, robustness properties of LQR, on lack of robustness of LQG controllers, loop-transfer recovery, small-gain theorem, introduction to H-infinity and multi-objective robust control.
Prerequisite: ME-GY 6703 or adviser approval.

3 Credits Robot Perception ROB-GY 6203

fulfil their tasks safely, accurately, and efficiently. This requires an intelligent extraction of both geometric and semantic information from sensory input (mainly visual sensors such as cameras/LIDAR). This course aims to combine the established theories of geometric vision and the recent progress in pattern recognition in the context of robotic/intelligent systems. Students will study and practice the basic theories of computer vision and machine learning through relevant applications. For example, pose estimation of a robotic agent from onboard cameras, 3D reconstruction for map creation, object detection/segmentation for obstacle avoidance, tracking for target following, place recognition from images when GPS is unreliable, and so on.
Prerequisite: Graduate Standing

ME/ROB xxxx Electives Approved by the Graduate Adviser, Credits: 6.00 total

Free Electives, Credits: 6.00 total

Mechanics and Structural Systems Specialty

A minimum of two additional courses (6 credits) must be selected from

3 Credits Composite Materials ME-GY 5243

This course introduces modern polymeric, metallic and ceramic composite materials, fabrication techniques, mechanical property characterization. Topics: Introduction to matrix and reinforcement materials, material selection and composite design criteria. Mechanics based analysis of continuous fiber reinforced unidirectional plies and woven fabrics. Applications of advanced composites in car, aircraft, construction and sports industries.
Prerequisite: Graduate standing or advisor approval

3 Credits Vibrations ME-GY 5443

The course looks at the dynamics of one-, two- and multi-degree of freedom systems with and without damping. Topics: Vibrations of distributed parameter systems: bars, beams and plates. Numerical methods. Introduction to nonlinear oscillations.
Prerequisite: Graduate standing or advisor approval

3 Credits Advanced Mechanics of Materials ME-GY 6223

The course discusses two-dimensional stress and strain analysis, applications of energy methods, Reyleighitz method. Topics: Applications of energy methods to beams, frames, laminates and sandwich structures. Torsion of prismatic bars, open and closed thin-walled cylinders, unsymmetric bending and shear center, curved bars.
Prerequisite: ME-GY 6213 or adviser approval.

3 Credits Mechanics of Non Materials ME-GY 6253

The course introduces nanosized and nanoscale materials: nanoparticles, nanotubes, nanowires, nanorods. Topics: Classical molecular dynamics, lattice mechanics, methods of thermodynamics and statistical mechanics, introduction to multiple scale modeling and introduction to bridging scale. Characterization techniques for nanomaterials. Applications in nanosystems such as nanocars, nanobots and nanoelectronics.
Prerequisite: Graduate standing or advisor approval.

3 Credits Additive Manufacturing Fundamentals ME-GY 6413

Additive manufacturing (AM), also known as 3D printing, is the fastest growing industrial field. Numerous examples are available where components manufactured by AM methods are now put into service. This course will focus on fundamentals of AM techniques and will take a broad view on the new possibilities enabled by the new manufacturing methods.
Prerequisite: Graduate Standing

3 Credits Additive Manufacturing of Metallic Materials ME-GY 6423

Additive manufacturing (AM), also known as 3D printing, is the fastest growing industrial field. Numerous examples are available where components manufactured by AM methods are now put into service. This course will focus on one of the largest share of materials used in current industrial scale 3D printing, i.e., metals. The topics will cover the basic characteristics of metals and alloys through discussion of powder characterization, phase diagram, and microstructure to relate them to additive manufacturing process and properties of the manufactured parts. The course will also discuss the applications of metal 3D printed parts and future opportunities.
Prerequisites: Graduate Standing

3 Credits Advanced Dynamics ME-GY 6513

The course covers kinematics and dynamics of a particle in space. Topics: Systems of particles. Two-body central force problem. Kinematics and dynamics of rigid bodies. Euler's equations. Euleragrange equations with holonomic and nonholonomic constraints. Stability analysis. Introduction to calculus of variations. Hamilton's principle. Hamilton's equations.
Prerequisite: Graduate standing or advisor approval.

3 Credits Advanced Manufacturing of Biomedical Devices ME-GY 6843

This course aims to provide the essential knowledge in the biomedical product development (e.g. material properties, fabrication processes and design techniques for different applications) in order to provide ways to speed up the product development cycle. This course is multidisciplinary and covers the principles in its mechanical, chemical, biological, and physiological aspects. Students can learn the techniques for applying this acquired knowledge to particular applications in which they are interested.
Prerequisites: Knowledge in Material Science and Mechanics of Materials or equivalent

3 Credits Elasticity I ME-GY 7213

The course looks at stress and strain tensors, generalized Hooke's law. Topics: Formulation of elasticity problems. Plane stress and plane strain concepts; solution by complex variables; stress concentrations. Rotating Discs and cylinders of uniform thickness and variable thickness. Deformation symmetrical about an axis.
Prerequisite: ME-GY 6213 or adviser approval.

3 Credits Advanced Composite Materials ME-GY 7243

The course covers mechanics based analysis of fibrous (continuous and discontinuous) and particulate composites, generalized Hooke's law for anisotropic and orthotropic materials. Topics: Stress strain transformations and failure criterion for anisotropic materials. Analysis of composite beams in tension, flexure and torsion. Analysis of composite shells and grid-stiffened structures.
Prerequisite: ME-GY 5243 and ME-GY 6213 or adviser approval.

3 Credits Failure Mechancis ME-GY 7323

The course introduces fracture mechanics. Topics: Linear elastic, elastic-plastic and fully plastic fracture mechanics modeling and design. Fatigue and design against fatigue failures. Standard fracture mechanics testing procedures and related material properties. Micromechanics of fracture. Dynamic fracture. Continuum damage mechanics.
Prerequisite: ME-GY 6213 or adviser approval.

3 Credits Non-destructive Evaluation ME-GY 7333

The course introduces various NDE techniques used in engineering applications, xray radiography, ultrasonic imaging, acoustic emission, optical interferometry, magnetic resonance imaging. Also introduced are embedded optical and electromechanical sensors for continuous health monitoring and defect detection.
Prerequisite: ME-GY 6003 or adviser approval.

3 Credits Fracture Mechanics ME-GY 7353

The course introduces fracture mechanics. Topics: Linear elastic, elastic-plastic and fully plastic fracture mechanics modeling and design. Fatigue and design against fatigue failures. Standard fracture mechanics testing procedures and related material properties. Micromechanics of fracture. Dynamic fracture. Continuum damage mechanics.
Prerequisite: ME-GY 6213 or adviser approval.

3 Credits Advanced Vibrations ME-GY 7443

This course reviews analytical dynamics and vibrations of lumped parameter systems. Topics: Vibrations of distributed parameter systems. Approximate solution methods. Introduction to nonlinear vibrations and analysis tools. Advanced topics.
Prerequisite: ME-GY 5443 or adviser approval.

3 Credits Elasticity II ME-GY 8213

This class continues studies in elasticity problems. Topics: Three dimensional problems; St. Venant problems, extension, flexure, tension. Energy principles and variational methods; approximation techniques.
Prerequisite: ME-GY 7213 or adviser approval.

3 Credits Mechanics of Cellular Materials ME-GY 8273

The course looks at structure of cellular composites and natural cellular materials, including single phase open and closed cell foams and two-phase closed cell foams. Topics: Mechanics of honeycombs and foams, mechanics of wood and bones, effect of density, cell size and cell periodicity, introduction to homogenization techniques for cellular composites.
Prerequisite: ME-GY 7213 or adviser approval.

ME/ROB xxxx Electives Approved by the Graduate Adviser, Credits: 6.00 total

Free Electives, Credits: 6.00 total

• To graduate, you must have a 3.0 GPA or better in each of the following:
  • In the average of all graduate courses taken at the School of Engineering (whether or not some of these courses are being used to satisfy specific degree requirements)
  • In the average of all courses submitted for the graduate degree
  • In each guided studies, readings, projects, thesis, courses, or credits enrolled
• You must take at least 21 credits out of the 30 credits needed for the degree at the School of Engineering. In other words, 9 credits may be transferred from elsewhere.
• No more than 6 credits in “Guided Reading” courses are allowed
• Validation credit is not allowed, but the graduate adviser may waive specific requirements (and substitute designated ones), based upon your prior studies or experience
• Transfer credits are not granted for the following:
  • Undergraduate courses
  • Courses counted toward satisfying undergraduate degree requirements
  • Courses not related to the graduate program as stated in this catalog
  • Courses that received a grade lower than B
• You must complete your degree in 5 years, unless a formal leave of absence is approved before the period for which studies are interrupted
• If you decide to do a ME-GY 996X Masters Project or ME-GY 997X Masters Thesis (9 credits) as part of your work for the degree, those 9 credits will be counted against 3 out of the 6 credits in ME electives, 3 out of the 6 credits in ME Required for the Specialty Area credits, and 3 out of the 6 credits of Free Electives. Formatting guidelines for the submission of a Master's Thesis or Project can be found by clicking here. 
• You are not allowed to submit more than 3 courses (9 credits), starting with a 5 for MS degree requirements satisfaction
• Departmental electives include courses with a mechanical (ME), aerospace (AE), or materials (MT) prefix, plus departmental thesis or project credits
• All courses and program details are subject to adviser approval