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School of Engineering

Graduate Master of Science (MS) Courses

ME 2001: DIFFERENTIAL EQUATIONS (3 credits)
Ordinary differential equations, series solutions of differential equations, introduction to partial differential equations. Prerequisite: MATH 0250.

ME 2002: LINEAR AND COMPLEX ANALYSIS (3 credits)
Linear analysis, including linear algebra, vector spaces and linear transformations, and vector analysis. Complex analysis, including analytic functions of a complex variable, infinite series in the complex plane, and conformal mapping. Calculus or variations. Prerequisite: MATH 0250.

ME 2003: INTRODUCTION TO CONTINUUM MECHANICS (3 credits)
The fundamental concepts of continuum mechanics necessary for studying the mechanical behavior of solids and fluids. Includes a review of vector and tensors, stress, strain and deformation, general principles in the form of balance laws, constitutive equations and their restrictions, and specialization to the theories of linearized elasticity and fluid mechanics. Corequisite: ME 2001.

ME 2004: ELASTICITY (3 credits)
Fundamental concepts of stress and strain. Linear theory: boundary value problems of elasticity, including plane stress, plane strain, and torsion. Elementary variation theory of elasticity. Prerequisite: ME 2001, ME 2003.

ME 2020: MECHANICAL VIBRATIONS (3 credits)
Analysis of linear multi-degree of freedom systems. Lagrangian formulation, model analysis, lumped parameter analysis of discrete systems, and continuous system vibrations. Introduction to non-linear systems. Prerequisites: MATH 0250, ME 1014.

ME 2022: APPLIED SOLID MECHANICS (3 credits)
Covers fundamental, classical, and advanced topics in mechanics of materials. These include but are not limited to theories and relationships of stress and strain, energy methods, elementary plasticity, thermal stresses, and elasticity problems in axial, torsion, bending, and 2D problems. Prerequisites: MATH 0250, ME 1028, and ME 2001.

ME 2027: ADVANCED DYNAMICS (3 credits)
Kinematics and dynamics of rigid bodies, Euler's equations and Euler's angles, the elementary calculus of variations, the development of Lagrange's equations, the principle of virtual work as used in Kane's equations, and stability of mechanical systems as applied to a single rotating body. Prerequisite: ME 1015.

ME 2033: FRACTURE MECHANICS FOR PRODUCT DESIGN & MFG. (3 credits)
Failure of manufactured products in service and implications for design; energy release rates, toughness, and evaluation of experimental tests; fracture mechanisms in different material systems; fracture toughness testing; materials selection; damage tolerance; and design studies.

ME 2040: EXPERIMENTATION (3 credits)
Study of process of planning and conducting engineering experiments. Topics include the development of hypotheses of physical phenomena, the use of uncertainty analysis, experimental design, methods of evaluating experimental results, and the construction of empirical models. Prerequisite: ME 1042.

ME 2041: EXPERIMENTAL MECHANICS (3 credits)
Stress determination from strain measurements, strain measuring device and system; variable resistance strain gages with emphasis on circuits, calibration, compensation, static, and dynamic application; stress analysis in Bio and MEMS system. Force measurement in the micro- and nano-Newton level in bio and micro-system by optical and piezoelectric techniques.

ME 2044: FUNDAMENTALS OF TRIBOLOGY (3 credits)
Fundamentals of friction theory and models; advanced topics in lubrication, mechanism in wear, micro-scale analysis of surface interaction.

ME 2045: LINEAR CONTROL SYSTEMS (3 credits)
Control systems analysis and design techniques are presented for a wide range of dynamic systems through the use of modern control tools. Builds upon the foundation of classical feedback control theory. Tools will be developed for analyzing and designing controllers for multi-input, multi-output dynamic systems, including state space, controllability and observability, stability, and state estimation. Design problems with hands-on experience. Prerequisite: ME 1020/ME 2020.

ME 2046: DIGITAL CONTROL SYSTEMS (3 credits)
This course provides the tools necessary to analyze and design discrete time (digital computer) control systems for real-time control of dynamic systems, using both transform and state space approaches. Topics include the z-transform, relationships between the z-domain and Laplace domain, and characteristics of sampled-data systems, including sample rate and quantization effects. Emphasis is on design of digital controllers for dynamic systems. Prerequisite: ME 2045.

ME 2047: FINITE ELEMENT ANALYSIS (3 credits)
Finite element method is introduced and applied to problems in two-dimensional elasticity, plates, heat transfer, and transient structural mechanics. Prerequisite: ENGR 0145.

ME 2050: THERMODYNAMICS (3 credits)
This course introduces the basic concepts and principles of thermodynamics. Topics include the construction of tables of thermodynamic properties, the design and optimization of energy conversion devices, the elements of chemical thermodynamics, and the elements of non-equilibrium thermodynamics. Prerequisite: ME 0050, ME 1051.

ME 2053: HEAT AND MASS TRANSFER (3 credits)
Steady state and transient conduction in solids; conservation laws of mass, momentum, and energy; forced and free convection heat transfer, condensation, and boiling; and thermal radiation. Prerequisite: ME 1052.

ME 2055: COMPUTER AIDED ANALYSIS IN TRANSPORT PHENOMENA (3 credits)
Presentation of modern computational procedures for solving engineering problems in the areas of heat transfer and fluid mechanics. Topics include solutions of problems formulated as ordinary differential equations or partial differential equations. Solutions by numerical integration software and finite-difference methods are presented. Prerequisites: ENGR 0012, ME 0051.

ME 2056: INTRODUCTION TO COMBUSTION THEORY (3 credits)
This course presents an introduction to combustion theory, covering the general solution techniques associated with combustion phenomena. It covers preparatory materials such as chemical thermodynamics, heat and mass transfer, and conservation equations for multi-component reacting systems. The primary emphasis of the course is to prepare a foundation for the student who has not previously studied combustion phenomena.

ME 2060: NUMERICAL METHODS (3 credits)
Introduction to numerical techniques for the solution of linear and non-linear equations, numerical integration and differentiation, interpolation, ordinary and partial differential equations, and Eigenvalue problems.

ME 2064: INTRODUCTION TO CELL MECHANOBIOLOGY (3 credits)
The objective of this course is to provide an overview and a basic understanding of cell mechanobiology. The materials that will be covered in this introductory course include 1) stress, strain, and deformation; uniaxial and biaxial loading; hydrostatic pressure, 2) fluid shear stress, 3) cell structure and function, 4) basic cell and molecular techniques, 5) effects of mechanical forces on cells, 6) mechanotransduction, and 7) applications of cell mechanobiology to tissue engineering.

ME 2067: MUSCULOSKELETAL BIOMECHANICS (3 credits)
Coursework will include the structure, function, and mechanics of the musculoskeletal system. Specific topics will include the kinematics and control of human movement and the mechanics of the musculoskeletal connective tissues, such as ligament, tendon, bone, cartilage, and muscle. Special emphasis will be placed on the relationship between function and material properties of these tissues. A research paper will be required as a term project.

ME 2074: ADVANCED FLUID MECHANICS (3 credits)
First graduate-level course in viscous fluid flow. Elementary solutions to Navier-Stokes equations, laminar and turbulent flows, and boundary layers. Prerequisites: ME 2001, ME 2003.

ME 2080: INTRO. TO MICROELECTROMECHANICAL SYSTEMS (MEMS) (3 credits)
Aimed to provide basic understanding of microfabrication processes and fundamentals of MicroElectroMechanical Systems (MEMS) technologies.

ME 2082: PRINCIPLES OF ELECTROMECHANICAL SENSORS & ACTUATORS (3 credits)
The objective of this course is to provide a thorough understanding of the various mechanisms that can be exploited in the design of electromechanical sensors and actuators. These transduction mechanisms include transduction based on changes 1) in the energy in the electric field, 2) in the energy stored in the magnetic field, 3) piezoelectricity and pyroelectricity, 4) linear inductive transduction mechanisms, and 5) resistive transduction mechanisms. Will also discuss various transduction materials, sensors, and actuators from a wide range of applications. Prerequisite: ME 1014, ME 1020, and ME 2001.

ME 2085: GRADUATE SEMINAR (0 credits)
Designed to acquaint graduate students with various subjects in advanced mechanics, current graduate-level research in mechanical engineering, and aspects of graduate-level engineering and applied mechanics not normally encountered in classes.

ME 2094: PRACTICUM (1 credit)
This course is designed to provide students who are engaged in thesis or dissertation research an opportunity to participate in an internship with an external organization (industry or government laboratory). The internship must be related to the thesis or dissertation research. Please see the Graduate Handbook for more information. Prerequisites: approval of advisor and graduate coordinator

ME 2095: GRADUATE PROJECTS (1-15 credits)
A special problem or reading course of individual study guided by the student's major advisor. Topics are selected from any phase of mechanical engineering not covered in the regular master's-level curriculum.

ME 2097: SPECIAL STUDY (3 credits)
Special topics of particular importance to an individual's plan of study. Prerequisite: approval of advisor

ME 2997: MS RESEARCH (3 credits)
Students prepare a literature survey on a major research problem and submit an outline for future work on the master of science thesis.

ME 2999: ME THESIS
Students must take a minimum of six credits up to a maximum of 12 credits.

Admissions

Graduate Admissions information, including requirements, tuition & fees, and financial assistance are located on the School of Engineering Graduate Admissions section.

STUDENTS

Over 300 undergraduates, 70 MS, and 40 Ph.D. students make up the ME student body.