May 01, 2024  
Graduate Catalog 2018 - 2019 
    
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Graduate Catalog 2018 - 2019 [ARCHIVED CATALOG]

Course Descriptions

 

Mathematics
  

  • MTH 521 - Time Series Analysis

    [4 credit(s)]
    Prerequisite: MTH 567 or permission of instructor. The course will cover techniques of modeling data that are collected sequentially. Topics to be covered include a review of basic ideas of modeling a continuous variable, time series regression, autocorrelation, decomposition methods, ARMA (Autoregressve Moving Average) models, and ARIMA (Autoregressive Integrated Moving Average) models. The course will use a statistical programming language. The course will also require the completion of a time series analysis project. Data from a variety of fields will be studied. Credit cannot ve earned for this course if a student has already taken MTH 421.


    Click here for the schedule of courses

  

  • MTH 524 - Probability and Mathematical Statistics

    [4 credit(s)]
    MTH 524 is an introduction to the mathematical theory of probability and statistics using calculus. It is the study of statistics from a mathematical standpoint and prepares students for further study of statistical inference. It provides a strong foundation in mathematical statistics for understanding the concepts and development of statistical methodology. The class is designed for an audience with diverse interests. If you are an engineering, science, economics or business major, mathematical statistics will be a basic part of your mathematical toolkit; If you are a secondary math education major, this course will help you understand concepts of discrete mathematics and basic probability theory; If you are interested in taking the actuarial probability exam, this course is absolutely fundamental since we will use some problems from actuarial exams as examples.


    Click here for the schedule of courses

  

  • MTH 525 - Mathematical Methods in Engineering and Science I

    [4 credit(s)]
    Part one of a two-part sequence devoted to methods of applied mathematics, including various topics in ordinary and partial differential equations, integral equations, and calculus of variations, as well as specific applications to engineering and the sciences.


    Click here for the schedule of courses

  

  • MTH 526 - Numbers, Patterns and Operations for Middle School Teachers

    [4 credit(s)]
    Prerequisite: Teacher licensure or consent of Mathematics Department Chair. An in-depth study of mathematical topics in middle school curricula in the area of numbers, patterns, and operations. Topics include numeration concepts, concepts of measurement, study of rational and irrational numbers, proportionality, estimation, and operations. Credit does not count toward the M.A. or M.S. degree in Mathematics.


    Click here for the schedule of courses

  

  • MTH 527 - Algebra and Functions for Middle School Teachers

    [4 credit(s)]
    Prerequisite: Teacher licensure or consent of Mathematics Department Chair. Emphasis on algebra as a powerful symbolic language for studying patterns, relations, and variation; for solving linear and quadratic equations and inequalities; and for modeling real-life situations. Emphasis is on variables and functions in symbolic and graphical forms, especially linear, quadratic, exponential, logarithmic, and inverse functions. Goals include developing a deep understanding of these topics as appropriate for middle school teachers. Credit does not count toward the M.A. or M.S. degree in Mathematics.


    Click here for the schedule of courses

  

  • MTH 528 - Measurement and Geometry for Middle School Teachers

    [4 credit(s)]
    Prerequisite: Teacher licensure or consent of Mathematics Department Chair. This course is designed to increase the conceptual understanding of geometry for middle school teachers. Topics include dynamic geometry, integrating the use of computer software; basic geometry theorems and constructions; similarity, proportion, scaling, and geometric growth; tessellations; simple trigonometric relationships; van Hiele levels of geometric graphical representations; transformational geometry; and analytic geometry. Credit does not count toward the M.A. or M.S. degree in Mathematics.


    Click here for the schedule of courses

  

  • MTH 529 - Data Analysis and Probability for Middle School Teachers

    [4 credit(s)]
    Prerequisite: Teacher licensure or consent of Mathematics Department Chair. Ratios, fractions, percentages, data collection, graphical experimentation, basic strategies of data analysis, some statistical methods to analyze data, and inference based on date and simulation. Credit does not count toward the M.A. or M.S. degree in Mathematics.


    Click here for the schedule of courses

  

  • MTH 530 - Conversational Calculus for Middle School Teachers

    [4 credit(s)]
    Prerequisite: Teacher licensure or consent of Mathematics Department Chair. An introduction to the concepts of calculus. Pictures and hands-on experiments are used to develop an overview of the big ideas and an appreciation of how calculus helps us understand the real world. Includes differentiation, integration, and applications of calculus to the real world. Credit does not count toward the M.A. or M.S. degree in Mathematics.


    Click here for the schedule of courses

  

  • MTH 531 - Categorical Data Analysis

    [4 credit(s)]
    Prerequisite: MTH 536 or MTH 567 or permission of instructor. The course will cover techniques of modeling data for data that are categorical rather than continuous in nature. Topics to be covered include joint, marginal, and conditional probabilities, relative risk, odds ratios, generalized linear models, logistic regression, multi-category logit models, and loglinear models. The course will utilize data examples from the fields of biology, medicine, health, epidemiology, environmental science, and psychology. The course will use a statistical programming language. The course will also require the completion of a categorical data analysis project. Credit cannot be earned for this course if a student has already taken MTH 431.


    Click here for the schedule of courses

  

  • MTH 532 - Probabilistic Models

    [4 credit(s)]
    Modeling of real-world problems using methods of probability theory such as Markov chains, queuing theory, decision analysis, and simulation.


    Click here for the schedule of courses

  

  • MTH 534 - Differential Geometry

    [4 credit(s)]
    Geometry of curves and parametric surfaces, Gaussian and mean curvatures, geodesics, and other topics as time permits, including minimal surfaces, non-Euclidean models, and aspects of relativity.


    Click here for the schedule of courses

  

  • MTH 536 - Design and Analysis of Experiments

    [4 credit(s)]
    This course provides a review of basic statistical concepts and a comprehensive introduction to statistical methods of designing experiments and analyzing data. A variety of experimental designs are covered, and regression analysis is presented as the primary technique for analyzing data from designed experiments, and in discriminating between various possible statistical models. This course is designed for students who have completed the first course in statistical methods. This background course should include at least some techniques of descriptive statistics, the normal distribution and an introduction to basic concepts of confidence intervals and hypothesis testing. Students will learn how to use Statistical Software for data manipulation and data analysis.


    Click here for the schedule of courses

  

  • MTH 537 - Operations Research I

    [4 credit(s)]
    Linear programming, including the simplex method, sensitivity analysis, duality, and integer programming. Additional topics selected from LU decomposition, dual simplex algorithm, game theory, Karmarkar’s algorithm, as well as topics from nonlinear programming, such as steepest descent and Kuhn-Tucker conditions. Part one of a two-part sequence.


    Click here for the schedule of courses

  
  
  

  • MTH 547 - Calculus From An Advanced Viewpoint

    [4 credit(s)]
    A historical approach to calculus emphasizing the difficulties in formulating and controversies surrounding the fundamental ideas of the subject.


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  • MTH 553 - Algebra With Applications

    [4 credit(s)]
    Introduction to modern algebra with emphasis on topics relevant to the secondary mathematics curriculum, including congruence, fields, polynomials and roots, and applications.


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  • MTH 564 - Statistics and Data Analysis

    [4 credit(s)]
    Introduction to statistics, including descriptive statistics, sampling, expected value, estimation, hypothesis testing, and statistical computing software.


    Click here for the schedule of courses

  

  • MTH 567 - Applied Regression Models

    [4 credit(s)]
    Students will learn techniques, ideas, and concepts associated with linear regression. In the context of linear regression, they will learn how to use specific statistical methods and general modes of statistical thinking to make inferences from data. The emphasis is on being able to build an appropriate regression model, on being able to assess the adequacy of a proposed model, and on drawing and formulating conclusions about the fitted model. They will also learn how to assess the relative merits and applicability of competing statistical techniques. Students will learn how to perform the techniques covered in this course by using a statistical software package. Topics may also include transformations, matrix representation, non-linear regression and other topics as time allows. Credit cannot be earned for this course if the student has already taken MTH 467.


    Click here for the schedule of courses

  

  • MTH 571 - Statistical Methods for Genetic Data

    [4 credit(s)]
    Prerequisite: MTH 514 or permission of the instructor. This is an introduction to quantitative methods assoicated with the analysis of human genetic data, with an emphasis on applied projects aimed at prediction of disease status of a new sample on the basis of observed samples and identification of biomarkers leading to human disease. Topics will include overview of microarray, proteomics, and metablomics data, overview of supervised learning, linear methods for classification, kernel methods, boosting and additive trees, neural networks, support vector machines and flexible discriminants, and unsupervised learning. Students must be familiar with matrix notation and the statistical programming language R will be used in this course.


    Click here for the schedule of courses

  

  • MTH 577 - Numerical Methods I

    [4 credit(s)]
    Introduction to the numerical methods of financial derivatives. Topics include an overview of the basic concepts of mathematical finance, computational tools such as binomial methods, finite-difference methods, and methods for evaluating American options and Monte Carlo simulation. Numerical experiments are conducted using software such as Matlab, Microsoft Excel, and Maple, but no previous familiarity with these packages is assumed. Part one of a two-part sequence.


    Click here for the schedule of courses

  

  • MTH 580 - Geometry From An Advanced Viewpoint

    [4 credit(s)]
    Transformational geometry in two- and three-dimensions, congruence and similarity, conics, tilings, and applications.


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  • MTH 582 - Topics in Number Theory

    [4 credit(s)]
    Prerequisites: A grade of C or better in a course of level 300 or above in one of the following disciplines: MTH, CIS, EEC, ESC; or instructor permission. This course presents advanced topics in number theory. Topics may include primality testing, prime number generation, integer factorization, discrete logarithms, elliptic curves and advanced cryptographic protocols, and other topics chosen by the instructor. Credit cannot be earned for this course if a student has already taken MTH 482.


    Click here for the schedule of courses

  

  • MTH 587 - Dynamical Systems

    [4 credit(s)]
    Systems of differential equations, local and global behavior of a vector field in the plane, discrete dynamical systems, structural stability, the Poincare-Bendixon theorem, bifurcations, chaos, and strange attractors.


    Click here for the schedule of courses

  

  • MTH 591 - Financial Mathematics

    [4 credit(s)]
    Prerequisites: A grade of C or better in MTH 182, or a special permission from the instructor. Basic mathematical interest theory and time value of money, annuities, loan repayment, bonds, equations of value and yield rates, interest rate sensitivity, stocks and financial markets, arbitrage, term structure of interest rates and derivatives. It can be used to prepare for the SOA Exam FM/CAS Exam 2 (Financial Mathematics Exam).


    Click here for the schedule of courses

  

  • MTH 593 - Special Topics In Mathematics

    [4 credit(s)]
    Detailed study of a selected topic in advanced mathematics. Topic varies with instructor. May be taken for credit more than once, but no single topic may be repeated. Consult the Mathematics Department for current offerings.


    Click here for the schedule of courses

  
  

  • MTH 626 - Mathematical Methods in Engineering and Science II

    [4 credit(s)]
    Prerequisite: MTH 525 or permission of instructor. Part two of a two-part sequence devoted to methods of applied mathematics, including various topics in ordinary and partial differential equations, integral equations, and calculus of variations, as well as specific applications to engineering and the sciences.


    Click here for the schedule of courses

  

  • MTH 635 - Statistical Consulting and Programming

    [4 credit(s)]
    Prerequisites: MTH 567 and MTH 536, or permission of instructor. This course assigns students to work in consulting teams with, when possible, university or community partners on real-world case studies of statistical methods learned in previous courses. Students prepare written reports and oral presentations that discuss the findings of the analysis. Topics specific to this course may include sample size determination, reliability, and validity, missing data imputation, random sampling, randomization schemas, data management techniques, ethics, IRB, or other topics chosen by the instructor. In addition, students learn data manipulation and graphics using a variety of software to include SAS, SPSS, Minitab, and R. May not take for credit if completed MTH 435.


    Click here for the schedule of courses

  

  • MTH 638 - Operations Research II

    [4 credit(s)]
    Prerequisite: MTH 537 or permission of instructor. Stochastic models, Markov chains, queuing theory, reliability theory, forecasting, and decision processes. Part two of a two-part sequence.


    Click here for the schedule of courses

  

  • MTH 668 - Applied Linear Models II

    [4 credit(s)]
    Prerequisite: MTH 567 or permission of instructor. The purpose of this course is to continue to explore the fundamental concepts involved in applied data analysis. We will study data analysis techniques that model differences in the response variable from independent factors. We will continue using the multiple regression model developed in MTH 567 to study model checking, two way analysis of variance, repeated measures, serial correlation, and multivariate response. We will also study categorical data techniques such as risk, odds, and logistic and Poisson regression. Part two of a two-part sequence.


    Click here for the schedule of courses

  

  • MTH 675 - Applied Multivariate Statistics

    [4 credit(s)]
    Prerequisite: MTH 524 and MTH 567 or permission of instructor. Applications of multivariate statistical methods to applications in medicine, biology, and the social sciences. The main topics of this course will address the issue of multiple measures of a response variable of interest. Topics will include multivariate analysis of variance (MANOVA), principal components, factor analysis, canonical correlation analysis, and discriminant analysis, among others. Students must be familiar with matrix notation, and statistical software will be used in the course.


    Click here for the schedule of courses

  

  • MTH 678 - Numerical Methods II

    [4 credit(s)]
    Prerequisite: MTH 577 or permission of instructor. Applications of numerical methods to real-life problems in science and engineering. Topics may include the following: initial value problems, the radar problem, the calibration problem, building exploratory environments, refined graphics, numerical approximation of orbits in the planar three-body problem, effect of spin on trajectories, least squares problems, and boundary value problems. Numerical experiments are conducted using software such as Matlab and Maple, but no previous familiarity with these packages is assumed. Part two of a two-part sequence.


    Click here for the schedule of courses

  

  • MTH 685 - Advanced Data Models

    [4 credit(s)]
    Pre-requisites: MTH 524 and MTH 567, or permission of instructor. This course introduces various methods of modern, computationally-based methods for exploring and drawing inferences from data. After a brief review of probability and inference, the course covers resampling methods, non-parametric regression, prediction, and dimension reduction and clustering. Specifically topics include: tree-based methods, boosting, ensemble learning, forests, neural networks, support vector machines, bootstrap, cross-validation, smoothing methods such as kernels, local regression, splines, smoothing in likelihood models, density estimation, shrinkage methods (ridge regression, lasso), longitudinal data analysis and high dimensional problems.


    Click here for the schedule of courses

  

  • MTH 686 - Reliability and Survival Analysis

    [4 credit(s)]
    Prerequisite: MTH 524 and MTH 567, or permission of the instructor. To expose students to the basic concepts of reliability and survival models and statistical inference for probability models and methods used in reliability assessment and survival analyses. It includes parametric and nonparametric models, graphical methods, and classical interference procedures used in analyzing time-to-event data, and Cox Proportional Hazards model.


    Click here for the schedule of courses

  

  • MTH 687 - Bayesian Data Analysis

    [4 credit(s)]
    Prerequisites: MTH 524 and (MTH 567 or MTH 536), or Permission of instructor. The course covers all the fundamental concepts of Bayesian methods, and works from the simplest models up through hierarchical models applied to various types of data. The course uses examples from a variety of disciplines. Topics include: The basics of Bayesian inference for single and multiparameter models, regression, hierarchical models, model checking, approximation of a posterior distribution by iterative and non-iterative sampling methods, and missing data.


    Click here for the schedule of courses

  

  • MTH 693 - Special Topics In Mathematics

    [4 credit(s)]
    Detailed study of a selected topic in advanced mathematics. Topic varies with instructor. May be taken for credit more than once, but no single topic may be repeated. Consult the Mathematics Department for current offerings.


    Click here for the schedule of courses

  

  • MTH 696 - Mathematics Exit Project

    [4 credit(s)]
    Prerequisites: Good standing in the graduate program. Working with a faculty supervisor, a student will read papers in technical journals, choose a research topic, and write a technical report in mathematics, statistics, or applied mathematics.


    Click here for the schedule of courses

  
  

  • MTH 767 - Data Analysis for Doctoral Students I

    [4 credit(s)]
    An applied data analysis course that begins with a quick review of techniques for analyzing two independent samples with a quantitative response. Other covered methodologies include One and Two Way Analysis of Variance, nonparametric statistics, and regression. The statistical methods taught will explore the concepts of estimation, hypothesis testing, statistical significance and p-value. The course emphasizes the link between statistical graphics and formal statistical tests and involve the use of a statistical programming language. Part one of a two-part sequence.


    Click here for the schedule of courses

  

  • MTH 768 - Data Analysis for Doctoral Students II

    [4 credit(s)]
    We will continue using the analysis of variance model developed in MTH 767 to study model repeated measures. We will continue the multiple regression model to study serial correlation, multivariate response, as well as collinearity and leverage. We will also study categorical data techniques such as risk and odds as well as logistic and poisson regression. Part 2 or a two-part sequence.


    Click here for the schedule of courses


Mechanical Engineering
  

  • MCE 501 - Mechanical Engineering Analysis

    [4 credit(s)]
    Mathematical modeling/analysis of physical systems; boundary value problems. Fourier series and integrals; diffusion equation, Sturm-Liouville theory; Wave equation, d’Alembert’s solution; Bessel and Legendre functions.


    Click here for the schedule of courses

  

  • MCE 503 - Modeling and Simulation of Mechatronic Systems

    [4 credit(s)]
    Modeling and analysis of dynamic systems with interacting energy domains: fluids, thermal, electrical, and mechanical; formulation of linear and nonlinear state equations; unified treatment of diverse systems with bond graphs.


    Click here for the schedule of courses

  

  • MCE 504 - Continuum Mechanics

    [4 credit(s)]
    General discussion of Cartesian tensors. Application to the mechanics of linear and nonlinear continua. Unified analysis of stress and deformations in solids and fluids.


    Click here for the schedule of courses

  

  • MCE 505 - Numerical Methods in Mechanical Engineering

    [4 credit(s)]
    Numerical methods for linear algebra; interpolation; integration; solving nonlinear algebraic equations and ordinary differential equations; spectrum analysis; optimization; and modeling of data.


    Click here for the schedule of courses

  

  • MCE 509 - Numerical Methods for Partial Differential Equations

    [4 credit(s)]
    Advanced numerical methods for solving parabolic, elliptic, and hyperbolic partial differential equations; convergence and stability criteria; grid generation; special mesh systems and orthogonal coordinate systems; computer applications.


    Click here for the schedule of courses

  

  • MCE 512 - Advanced Vibrations I

    [4 credit(s)]
    Study of multi-degree-of-freedom and continuous systems; modal analysis and modal summation methods; wave equation solution for strings, rods, beams, and plates; approximate and energy method solutions; introduction to finite element solution techniques.


    Click here for the schedule of courses

  

  • MCE 521 - Applied Thermodynamics

    [4 credit(s)]
    Availability analysis (exergy); irreversibility; combustion; applications to internal and external combustion engine, vapor power, and refrigeration cycles.


    Click here for the schedule of courses

  

  • MCE 524 - Applied Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 324. Convective heat and mass transfer analogies; heat exchangers; enhanced convection heat transfer; boiling, condensation, two-phase flow and heat transfer; radiation in enclosures and gaseous media; micro- and nanoscale heat transfer; heat transfer applications (e.g. heat pipes, cooling of electronics, applications in biological/biomedical systems, alternative enery systems, mini-/microsensor systems, etc).


    Click here for the schedule of courses

  

  • MCE 530 - Applied Fluid Mechanics

    [4 credit(s)]
    Prerequisites: Consent of instructor needed. Navier-Stokes equations and boundary layer analysis; introduction to compressible flow; fundamentals of turbomachinery; propulsion systems; practical fluid systems analysis and design.


    Click here for the schedule of courses

  

  • MCE 541 - Linear Control Systems

    [4 credit(s)]
    Prerequisites: ESC 350 and MCE 371 for students in the accelerated BSc-MSc program in Mechanical Engineering (MCE 541 to be taken instead of MCE 441). Graduate students who did not take an undergraduate course equivalent to MCE 441 may take MCE 541 strictly under instructor consent. Introduction to mathematical modeling and design of engineering dynamic systems; controller design; stability analysis; root-locus techniques; Bode diagrams; transient and steady-state response and design of closed-loop control systems.


    Click here for the schedule of courses

  

  • MCE 544 - Applied Combustion Proc

    [4 credit(s)]
    Review of chemical kinetics; conservation equation for multicomponent reacting systems; premixed laminar and turbulent flames.


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  • MCE 545 - Modern Controls

    [4 credit(s)]
    Classical design of control systems; state space analysis; state space design of regulator systems; linear quadratic regulator problems; optimal observer design; computer simulation of control systems.


    Click here for the schedule of courses

  

  • MCE 550 - Advanced Dynamics

    [4 credit(s)]
    Lagrangian dynamics; Hamilton’s and D’Alembert’s principles; autonomous and nonautonomous systems; behavior of conservative and non-conservative systems; approximate solutions; perturbation methods of solution; study of damping.


    Click here for the schedule of courses

  

  • MCE 565 - Advanced Machine Analysis

    [4 credit(s)]
    Finite element analysis of stresses and deflections in complex mechanical systems under static and dynamic loading. Integrating modeling techniques with two- and three-dimensional CAD systems for inputting geometric data. Comparisons of finite element results with theoretical and empirical results.


    Click here for the schedule of courses

  

  • MCE 566 - Machine Design II

    [4 credit(s)]
    Prerequisites: Permission of instructor. Design and analysis of power transmission components for static and fatigue loading: gears, belts, chains, shafts and pulleys. Use of keys, pins, splines, brakes, and clutches. Design of rolling element bearings.


    Click here for the schedule of courses

  

  • MCE 567 - Lubrication and Bearing Design

    [4 credit(s)]
    Study of the the theoretical aspects of elastohydrodynamic, hydrodynamic, and hydrostatic lubrication regimes. Design and analysis of bearings for industrial and aerospace applications.


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  • MCE 580 - Finite Element Analysis I

    [4 credit(s)]
    Introduction to calculus of variations, virtual work, complementary virtual work, potential energy, complementary energy, and Castigliano theorems; approximate methods; finite element development and applications.


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  • MCE 602 - Mechanical Engineering Internship

    [1 credit(s)]
    Prerequisite(s): Graduate standing, completion of at least one full time academic year in MSME or Doctor of Philosophy in Engineering program, and permission of advisor. Provides students with practical experience in mechanical engineering. Students will be required to submit progress reports on a regular basis, in addition to submitting a project report at the end of the course. May be taken up to two times for credit. Graded on pass/fail (S/U) basis.


    Click here for the schedule of courses

  

  • MCE 603 - Interfacing and Control of Mechatronic Systems

    [4 credit(s)]
    Prerequisites: MCE 503 and MCE 441 or consent of instructor. Study of mechatronic sensors and actuators from the physical principles governing their behavior. Bond graph modeling of specific devices like piezoelectric and magnetostrictive transducers, capacitance sensors, electric motors, change coupled devices, operational amplifiers, Hall effect sensors and others. Digital control applied to mechatronic systems. Electronic interfacing.


    Click here for the schedule of courses

  

  • MCE 610 - Computational Fluid Flow & Heat transfer

    [4 credit(s)]
    Prerequisite: MCE 501. Application of advanced numerical methods to current problems in the fluid flow and heat transfer areas; internal and external incompressible and compressible flows; numerical methods for inviscid flow equations; multigrid procedure; computer applications.


    Click here for the schedule of courses

  

  • MCE 618 - Engineering Plasticity

    [4 credit(s)]
    Prerequisite: MCE 504. Yield criteria and application to elastic-plastic and rigid-plastic deformation; flow stress; plastic deformation processes; tribology; thermal effects; analysis by slab method, upper and lower bound on power, and finite element methods.


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  • MCE 622 - Energy Conversion

    [4 credit(s)]
    Prerequisite: MCE 521. Nuclear, solar, and chemical energy conversion techniques. Thermodynamics of power cycles and systems; thermoelectric devices; thermionic generators; MHD systems; fuel cells; photovoltaic cells.


    Click here for the schedule of courses

  

  • MCE 632 - Gas Dynamics

    [4 credit(s)]
    Pre- or co-requisite: MCE 501. Generalized one-, two-, and three-dimensional compressible flows, normal shocks, oblique shocks, flow with friction and heat transfer, method of characteristics, real gas effects.


    Click here for the schedule of courses

  

  • MCE 638 - Viscous Flow I

    [4 credit(s)]
    Prerequisite: MCE 501. Derivation and exact solutions of Navier-Stokes equations governing incompressible, laminar viscous flow; applications include non-steady flow, low Reynolds numbers flows, parallel flows, and laminar boundary layer; classification of fluid behavior, rheometry, and viscoelastic and time-dependent properties.


    Click here for the schedule of courses

  

  • MCE 639 - Viscous Flow II

    [4 credit(s)]
    Prerequisite: MCE 638. Derivation and formulation of compressible fluid flow equations in both integral and differential forms; applications include exact solutions with and without pressure gradients; introduction to turbulence and modeling of turbulent boundary layers; laminar and turbulent flows of non-Newtonian fluids; internal and external flows; boundary layer equations for momentum and energy transport.


    Click here for the schedule of courses

  

  • MCE 641 - Convection Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 501. Convective processes involving heat, momentum, and mass transfer, and their applications. Laminar and turbulent convection heat transfer; internal and external flows.


    Click here for the schedule of courses

  

  • MCE 642 - Advanced Conduction Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 501. Heat transfer by conduction in steady, transient, and periodic states in solids for one-, two-, and three-dimensional problems; applications of various analytical and numerical methods.


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  • MCE 643 - Radiation Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 501. Physics of the thermal radiation process; surface properties; exchange factors and networks for heat transfer between surfaces; characteristics of emission and absorption of flames, gases, and the atmosphere; solar radiation.


    Click here for the schedule of courses

  

  • MCE 644 - Heat Transfer With Phase Change

    [4 credit(s)]
    Prerequisite: MCE 641. Heat transfer in phase change; nucleate and film boiling mechanisms; pool and forced convection boiling; two-phase flow, flow regimes, and transitions; application to cryogenics and nuclear reactors.


    Click here for the schedule of courses

  

  • MCE 647 - Robot Dynamics and Control

    [4 credit(s)]
    Prerequisites: MCE 441/541 or EEC 510 or exposure to undergraduate controls, with instructor consent. Study of robotic manipulator systems, with strong emphasis on dynamics and control. Energy-based nonlinear models. Motion control using PD, inverse dynamics and passivity. Geometric nonlinear control applied to robotic manipulators.


    Click here for the schedule of courses

  

  • MCE 654 - Computer Aided Design & Optimizatn

    [4 credit(s)]
    Prerequisite: MCE 501 or MCE 504. Optimum design problem formulation, optimum design concepts, numerical methods for unconstrained and constrained optimum designs; 3-D graphics techniques, non-traditional computing techniques, such as artificial neural networks and fuzzy logic, which provide a different approach in engineering design and analysis.


    Click here for the schedule of courses

  

  • MCE 655 - Acoustics

    [4 credit(s)]
    Prerequisite: MCE 501. Elements of theoretical acoustics: plane and spherical acoustic waves; transmission and absorption of acoustic waves; theory of resonators and filters; application of theory to noise problems in mechanical and air moving equipment.


    Click here for the schedule of courses

  

  • MCE 660 - Lubrication

    [4 credit(s)]
    Prerequisite: MCE 501. Hydrodynamic lubrication, self-excited instability of hydrodynamic bearings, design optimization. Hydrostatic lubrication with design optimization. Elastohydrodynamic lubrication, calculation of Hertzian contact stresses, and deformation in rolling contact bearings.


    Click here for the schedule of courses

  

  • MCE 666 - Adv Control Of Mechanical Systems

    [4 credit(s)]
    Prerequisite: MCE 503. Design and analysis of multivariable systems using state variable techniques; introduction to system modeling, observability, controllability, stability, Z transforms, and controller design.


    Click here for the schedule of courses

  

  • MCE 670 - Turbomachinery Rotordynamics

    [4 credit(s)]
    Prerequisite: MCE 512. Introduces students to a collection of phenomena and related analysis techniques associated with the dynamics of rotating machinery, e.g., turbines, compressors, pumps, power transmission shafting, etc. Development of adequate, computationally oriented component and system models for the analysis of rotors.


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  • MCE 680 - Finite Element Analysis II

    [4 credit(s)]
    Prerequisite: MCE 580. Study of two- and three-dimensional continua; application of finite element methods to mechanical engineering analysis and design problems.


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  • MCE 693 - Selected Topics In Mechanical Engineering

    [4 credit(s)]
    Topics of current interest to the mechanical engineering profession. Total credits in MCE 693 should not exceed eight.


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  • MCE 696 - Directed Study

    [1-4 credit(s)]
    Prerequisite: Permission of instructor. Directed study of an individual problem or subject area under the supervision of a faculty member. Total credits for this course are limited to four.


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  • MCE 698 - Master’s Project In Mechanical Engineering

    [1-5 credit(s)]
    A project involving design and analysis or theoretical investigation of a topic in mechanical engineering approved by the graduate advisor. A written report is required.


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  • MCE 699 - Master’s Thesis

    [1-6 credit(s)]
    Independent investigation by the student selected from an area of mechanical engineering that results in a significant contribution to the field. This may be analytical, computational, or experimental and needs the approval of the graduate advisor and the thesis committee. A bound copy of the thesis must be submitted to the department.


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  • MCE 703 - Interfacing and Control of Mechatronic Systems

    [4 credit(s)]
    Prerequisites: MCE 403/503 and MCE 441. Permission of instructor required for graduate students without the MCE 441 prerequisite. Study of mechatronic sensors and actuators from the physical principles governing their behavior. Bond graph modeling of specific devices like piezoelectric and magnetostrictive transducers, capacitance sensors, electric motors, charge coupled devices, operational amplifiers, Hall effect sensors and others. Digital control, signal processing and filtering applied to mechatronic systems. Electronic interfacing.


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  • MCE 710 - Computational Fluid Flow & Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 501. Application of advanced numerical methods to current problems in the fluid flow and heat transfer areas; internal and external incompressible and compressible flows; numerical methods for inviscid flow equations; multigrid procedure; computer applications.


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  • MCE 718 - Engineering Plasticity

    [4 credit(s)]
    Prerequisite: MCE 504. Yield criteria and application to elastic-plastic and rigid-plastic deformation; flow stress; plastic deformation processes; tribology; thermal effects; analysis by slab method, upper and lower bound on power, and finite element methods.


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  • MCE 722 - Energy Conversion

    [4 credit(s)]
    Prerequisite: MCE 521. Nuclear, solar, and chemical energy-conversion techniques. Thermodynamics of power cycles and systems; thermoelectric devices; thermionic generators; MHD systems; fuel cells; photovoltaic cells.


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  • MCE 732 - Gas Dynamics

    [4 credit(s)]
    Prerequisite: MCE 501. Generalized one-, two-, and three-dimensional compressible flows, normal shocks, oblique shocks, flow with friction and heat transfer, method of characteristics, real gas effects.


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  • MCE 738 - Viscous Flow I

    [4 credit(s)]
    Prerequisite: MCE 501. Derivation and exact solutions of Navier-Stokes equations governing incompressible, laminar viscous flow; applications include non-steady flow, low Reynolds numbers flows, parallel flows, and laminar boundary layer; classification of fluid behavior, rheometry, and viscoelastic and time-dependent properties.


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  • MCE 739 - Viscous Flow II

    [4 credit(s)]
    Prerequisite: MCE 738. Derivation and formulation of compressible fluid flow equations in both integral and differential forms; applications include exact solutions with and without pressure gradients; introduction to turbulence and modeling of turbulent boundary layers; laminar and turbulent flows of non-Newtonian fluids; internal and external flows; boundary layer equations for momentum and energy transport.


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  • MCE 741 - Convection Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 638. Convective processes involving heat, momentum, and mass transfer, and their applications. Laminar and turbulent convection heat transfer; internal and external flows.


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  • MCE 742 - Advanced Conduction Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 501. Heat transfer by conduction in steady, transient, and periodic states in solids for one-, two-, and three-dimensional problems; applications of various analytical and numerical methods.


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  • MCE 743 - Radiation Heat Transfer

    [4 credit(s)]
    Prerequisite: MCE 501. Physics of the thermal radiation process; surface properties; exchange factors and networks for heat transfer between surfaces; characteristics of emission and absorption of flames, gases, and the atmosphere; solar radiation.


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  • MCE 744 - Heat Transfer With Phase Change

    [4 credit(s)]
    Prerequisite: MCE 741. Heat transfer in phase change; nucleate and film-boiling mechanisms; pool and forced-convection boiling; two-phase flow, flow regimes, and transitions; application to cryogenics and nuclear reactors.


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  • MCE 747 - Robot Dynamics and Control

    [4 credit(s)]
    Prerequisites: MCE 441/541 or EEC 510 or exposure to undergraduate controls, with instructor consent. Study of robotic manipulator systems, with strong emphasis on dynamics and control. Energy-based nonlinear models. Motion control using PD, inverse dynamics and passivity. Geometric nonlinear control applied to robotic manipulators.


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  • MCE 754 - Computer Aided Design & Optimization

    [4 credit(s)]
    Prerequisite: MCE 501 or MCE 504. Optimum design problem formulation, optimum design concepts, numerical methods for unconstrained and constrained optimum designs; 3-D graphics techniques, non-traditional computing techniques such as artificial neural networks and fuzzy logic, which provide a different approach in engineering design and analysis.


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  • MCE 755 - Acoustics

    [4 credit(s)]
    Prerequisite: MCE 501. Elements of theoretical acoustics: plane and spherical acoustic waves; transmission and absorption of acoustic waves; theory of resonators and filters; application of theory to noise problems in mechanical and air moving equipment.


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  • MCE 760 - Lubrication

    [4 credit(s)]
    Prerequisite: MCE 501. Hydrodynamic lubrication, self-excited instability of hydrodynamic bearings, design optimization. Hydrostatic lubrication with design optimization. Elastohydrodynamic lubrication, calculation of Hertzian contact stresses, and deformation in rolling contact bearings.


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  • MCE 766 - Adv Control Of Mechanical Systems

    [4 credit(s)]
    Prerequisite: MCE 503. Design and analysis of multivariable systems using state variable techniques; introduction to system modeling, observability, controllability, stability, Z transforms, and controller design.


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  • MCE 770 - Turbomachinery Rotordynamics

    [4 credit(s)]
    Prerequisite: MCE 512. Introduction to a collection of phenomena and related analysis techniques associated with the dynamics of rotating machinery, e.g., turbines, compressors, pumps, power transmission shafting, etc. Development of adequate, computationally oriented component and system models for the analysis of rotors. State-of-the-art computer codes to analyze modern rotating machinery are used during the second half of the course.


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  • MCE 780 - Finite Element Analysis II

    [4 credit(s)]
    Prerequisite: MCE 580. Study of two- and three-dimensional continua; application of finite element methods to mechanical engineering analysis and design problems.


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