MS in Mechanical Engineering (Students Entering Spring 2022 or Earlier)
4+1 BS/MS Students: Follow these requirements if you entered as a first-year undergraduate
in spring 2020 or earlier (including transfer students whose Bulletin year is fall
2019 or earlier).
Available courses
MS Non-Thesis Option (10 Course Option) and 4+1 BS/MS Program
Select at least one from:
-
ME 533 - Applied Mathematical Methods
The course covers a range of topics involving mathematical and numerical methods
for solving engineering problems. The list includes: linear algebra, nonlinear equations,
ordinary differential equations, Laplace Transforms, data analysis, statistics and
numerical solution to partial differential equations. Both analytical and numerical
techniques will be presented and applied to solve problems in mechanical engineering
as well as other technical fields. The MATLAB computing environment will be used throughout
the course for graphic, numerical computation and symbolic manipulation. Prerequisites:
Calculus I-III; Ordinary Differential Equations. Offered in the fall. 3 credits.
Levels: Graduate, Undergraduate
-
ME 535 - Analytical Methods I
A survey of important analytical and numerical methods for mathematical modeling
of engineering and scientific problems. Solution of partial differential equations,
including methods for linear equations, separation of variables and eigenfunction
expansions ; review of multi-variable calculus, including vector analysis; selected
topics in linear algebra, integral transforms and numerical approximation techniques.
The analysis methods are introduced in the context of typical engineering applications.
Prerequisites: ordinary differential equations, ME 302. Offered in the Fall. 3 credits
Levels: Graduate, Undergraduate
*4+1 BS/MS students must take ME535
Select at least one from:
-
ME 517 - Finite Element Analysis I
An introductory course in the finite element (FE) method dealing with the fundamental
principles. Problems solved in the areas of solid mechanics, structures, fluid mechanics
and heat transfer. Use of standard FE software such as ANSYS. Prerequisite: mechanics
of materials or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 541 - Computational Fluid Dynamics
Fundamentals of computational fluid dynamics as they relate to compressible and
incompressible flows as well as interfacial phenomena. The course involves both MATLAB
implementations and the use of commercial software. Prerequisites: fluid mechanics
and differential equations, or consent of instructor. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
Select at least one from:
-
ME 511 - Elasticity
Topics covered include three-dimensional analysis and representation of stress
and strain, development of governing equations of elastic media, applications of these
equations to two- and three-dimensional problems. Prerequisite: mechanics of materials
or consent of instructor. Prerequisite: ME 211 or equivalent. Offered in the Fall.
3 credits
Levels: Graduate, Undergraduate
-
ME 514 - Plasticity
Fundamentals of deformation and strength concepts of isotropic materials. Plastic
stress-strain relations, criteria for yielding under multiaxial stress and properties
of the yield surface under loading and unloading schemes. Hardness tests and forging
problems. Elasto-plastic deformation of torsional and flexural members, hollow spheres
and thick-walled tubes. Slip-line analysis for indentation problems, and limit analysis
for frame structures and plates. Finite element theory with applications and practical
programming experience in a convenient FEM code. Dynamic plasticity experimental methods
are discussed. Prerequisites: ME 511 or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 520 - Mechanics and MFG of Composite
Course introduces the concepts and advantages of composite materials to the graduate
student and advanced senior students. It covers the nature of composites, mechanics
of composites for analytical approaches to model the behavior of material, and the
manufacturing of composites. Prerequisite: ME511 or consent of instructor. Term
varies. 3 credits.
Levels: Graduate, Undergraduate
-
ME 550 - Intro To Fluid Dynamics
A foundation for the analysis of inviscid and viscous incompressible flow is developed.
Foundation topics include Eulerian description, material derivative, relative motion
(strain-rate tensor), vorticity, Newtonian fluid model. Equations of motion are formulated,
leading to Euler and Navier-Stokes equations. Potential flow solutions are discussed.
Viscous flow is studied using Stokes, lubrication and boundary layer approximations.
Prerequisite: graduate standing or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
Four courses must come from one of the following specializations:
AND
Three advisor-approved technical electives (these courses may be outside the department).
MS Thesis Option
Select at least one from:
-
ME 533 - Applied Mathematical Methods
The course covers a range of topics involving mathematical and numerical methods
for solving engineering problems. The list includes: linear algebra, nonlinear equations,
ordinary differential equations, Laplace Transforms, data analysis, statistics and
numerical solution to partial differential equations. Both analytical and numerical
techniques will be presented and applied to solve problems in mechanical engineering
as well as other technical fields. The MATLAB computing environment will be used throughout
the course for graphic, numerical computation and symbolic manipulation. Prerequisites:
Calculus I-III; Ordinary Differential Equations. Offered in the fall. 3 credits.
Levels: Graduate, Undergraduate
-
ME 535 - Analytical Methods I
A survey of important analytical and numerical methods for mathematical modeling
of engineering and scientific problems. Solution of partial differential equations,
including methods for linear equations, separation of variables and eigenfunction
expansions ; review of multi-variable calculus, including vector analysis; selected
topics in linear algebra, integral transforms and numerical approximation techniques.
The analysis methods are introduced in the context of typical engineering applications.
Prerequisites: ordinary differential equations, ME 302. Offered in the Fall. 3 credits
Levels: Graduate, Undergraduate
Select at least one from:
-
ME 517 - Finite Element Analysis I
An introductory course in the finite element (FE) method dealing with the fundamental
principles. Problems solved in the areas of solid mechanics, structures, fluid mechanics
and heat transfer. Use of standard FE software such as ANSYS. Prerequisite: mechanics
of materials or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 541 - Computational Fluid Dynamics
Fundamentals of computational fluid dynamics as they relate to compressible and
incompressible flows as well as interfacial phenomena. The course involves both MATLAB
implementations and the use of commercial software. Prerequisites: fluid mechanics
and differential equations, or consent of instructor. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
Select at least one from:
-
ME 511 - Elasticity
Topics covered include three-dimensional analysis and representation of stress
and strain, development of governing equations of elastic media, applications of these
equations to two- and three-dimensional problems. Prerequisite: mechanics of materials
or consent of instructor. Prerequisite: ME 211 or equivalent. Offered in the Fall.
3 credits
Levels: Graduate, Undergraduate
-
ME 514 - Plasticity
Fundamentals of deformation and strength concepts of isotropic materials. Plastic
stress-strain relations, criteria for yielding under multiaxial stress and properties
of the yield surface under loading and unloading schemes. Hardness tests and forging
problems. Elasto-plastic deformation of torsional and flexural members, hollow spheres
and thick-walled tubes. Slip-line analysis for indentation problems, and limit analysis
for frame structures and plates. Finite element theory with applications and practical
programming experience in a convenient FEM code. Dynamic plasticity experimental methods
are discussed. Prerequisites: ME 511 or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 520 - Mechanics and MFG of Composite
Course introduces the concepts and advantages of composite materials to the graduate
student and advanced senior students. It covers the nature of composites, mechanics
of composites for analytical approaches to model the behavior of material, and the
manufacturing of composites. Prerequisite: ME511 or consent of instructor. Term
varies. 3 credits.
Levels: Graduate, Undergraduate
-
ME 550 - Intro To Fluid Dynamics
A foundation for the analysis of inviscid and viscous incompressible flow is developed.
Foundation topics include Eulerian description, material derivative, relative motion
(strain-rate tensor), vorticity, Newtonian fluid model. Equations of motion are formulated,
leading to Euler and Navier-Stokes equations. Potential flow solutions are discussed.
Viscous flow is studied using Stokes, lubrication and boundary layer approximations.
Prerequisite: graduate standing or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
Three courses must come from one of the following specializations:
AND
Two advisor-approved technical electives (these courses may be taken outside the department).
AND
A research thesis (6 credits of ME599). The written thesis and an oral presentation
defending the thesis must be approved by the student's research committee before he
or she is eligible for the degree.
Three committee members are required for MS defense including the advisor and must
be assigned at least a month before the defense.
