May 13, 2024  
2018-2019 Graduate Catalog 
    
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2018-2019 Graduate Catalog [ARCHIVED CATALOG]

Course Descriptions

 

Language, Literacy & Culture
  

  • LLC 898 - Pre-Candidacy Doctoral Research

    [3]
    Students conducting dissertation research under the direction of a faculty advisor before candidacy enroll in this course.
  

  • LLC 899 - Doctoral Dissertation Research

    [9]
    Research on doctoral dissertation is conducted under direction of faculty advisor.
    Prerequisite: Admission to Doctoral Candidacy Required
    Note: A minimum of 18 credit hours are required. This course is repeatable.
  

  • LLC 8800 - Doctoral Special Study

    [1]

Linguistics
  

  • LING 600 - Advanced Special Projects in Linguistics

    [3]
    A directed reading and research-oriented course on an agreed-upon topic. A theory significant and original term paper is required.
  

  • LING 610 - Language Planning

    [3]
    This course examines the language planning choices that have been made in a variety of multi-lingual settings in the world, with particular reference to the role of ethnic or national identity. It also identifies the impact of those choices on the political, cultural, educational and socio-economic domains.
  

  • LING 680 - Studies in Theoretical Linguistics

    [3]
    This course provides an in-depth examination of specific issues in either general or subfield-specific linguistic theory, with special reference to a variety of linguistic phenomena observable in different languages, including English. A theory-significant and original term paper is required.
  

  • LING 690 - Seminar in Applied Linguistics

    [3]
    Advanced research on a particular topic in applied linguistics. Students are expected to give frequent oral reports and complete work on a theory-significant and original term paper.

Management of Aging Services
  

  • AGNG 600 - Social & Economic Context of Aging

    [3]
    This course presents an overview of the many changes at all levels, from individual to societal, driven by the aging of the population in the United States. An interdisciplinary synthesis is the basis for understanding normal human aging in a cultural and community context and examining the harmful effects of stereotypes and ageism.
    Course ID: 052110
    Components: Lecture
    Grading Method: R
  

  • AGNG 604 - Policy Foundations of Aging Services

    [3]
    The course operates on two parallel tracks. First, it examines fundamental and theoretical underpinnings of public policy goals, the strategic construct of problem identification and definition, processes of policy initiation, development and advocacy and specifically, how to construct and implement a strategic plan to successfully advance policy initiatives. Secondly, and in the process, significant emphasis is placed on discussions of current policy issues affecting older adults and the organizations that provide services to them.
    Course ID: 052111
    Components: Lecture
    Grading Method: R
  

  • AGNG 610 - Leadership, Management & Organizations I

    [2]
    This course focuses on advancing the understanding and development of individual and organizational leadership models that result in building dynamic enterprise in government, business, and in non-profits with a special focus on aging service organizations. AGNG 610 focuses on leadership and the “Self.” Measurements and tools are introduced to enable individuals to better understand their individual strengths and weaknesses around issues of leadership.
    Course ID: 052113
    Components: Lecture
    Grading Method: R
  

  • AGNG 611 - Leadership, Management & Organizations II

    [3]
    Students will begin to explore, acquire and apply the skills needed to drive larger organizational change. AGNG 611 focuses on effective tools and resources necessary for developing strategy and tactics to manage change in aging service organizations. The course divides into three segments around leadership: organizational assessment, strategy development and managing change.
    Course ID: 052114
    Components: Lecture
    Grading Method: R
  

  • AGNG 612 - Finance & Accounting

    [3]
    This course introduces students to the fundamentals of financial accounting and its use in managerial control systems to enhance organizational performance, with a particular focus on the aging services industry. Emphasis is placed on strengthening the students’ ability to interpret and apply financial information as opposed to an in-depth study and application of accounting theory and practice.
    Course ID: 052115
    Components: Lecture
    Grading Method: R
  

  • AGNG 624 - Strategy, Marketing & Service Delivery

    [3]
    This course examines the role of strategy in successful organizations. Insights into how to identify and develop an organization’s strategy and to understand its implications for execution and marketing are explored. The need for in-depth analysis of broad environmental forces and the anticipation of future developments are stressed. It considers how government, technology and other environmental factors can impact organizational performance and how leaders can strengthen their organization’s abilities to deal with such factors.
    Course ID: 052116
    Components: Lecture
    Grading Method: R
  

  • AGNG 625 - Research & Evaluation

    [3]
    This course helps students become informed consumers of research. Key components of this course include understanding what information is required, how it can best be obtained, alternative ways of interpreting relevant data, and how to best incorporate knowledge into practice. Fundamentals of research and evaluation will be introduced including qualitative (e.g., focus groups, interviews), quantitative (e.g., surveys, measures of change over time), using archival data, and others. Case studies related to aging service organizations will be used for review and discussion of applicable subject areas.
    Course ID: 052117
    Components: Lecture
    Grading Method: R
  

  • AGNG 632 - Diversity in Management of Aging Services

    [3]
    This course provides a fundamental understanding of the concepts and complexities of diversity in management of aging services. “Diversity” is examined beginning with self-evaluation, awareness and group beginnings, and expands to current workforce concepts such as generational diversity, managing and leading from diverse places, handling conflict and the social issues involving diversity in aging. A variety of techniques are deployed to understand commonalities and differences while effectively facing the core issues of management in aging services. Students will learn to engage in dialogue versus debate and to manage social scenarios commonly encountered in aging services organizations.
    Course ID: 100301
    Components: Lecture
    Grading Method: R
  

  • AGNG 638 - Entrepreneurship, Innovation & Design I

    [3]
    This is the first of two courses covering Entrepreneurship, Innovation and Design. Entrepreneurship I has a primary emphasis on the business or ‘for-profit’ components of the endeavor and includes consideration of both Innovation as well as Design.  Entrepreneurship II (Spring 2016) focuses on Entrepreneurial efforts and approaches within an existing organization (with an emphasis on nonprofit organizations) - including organizational leadership and governance.
    Course ID: 100384
    Components: Lecture
    Grading Method: R
  

  • AGNG 639 - Entrepreneurship, Innovation & Design II

    [2]
    Entrepreneurship II expands upon Entrepreneurship I, with particular emphasis on leadership roles in creating and managing sustainable growth in an innovative and entrepreneurial organization. This course focuses on entrepreneurship leadership and management within the context of non-profit companies, and explores the comparisons with for-profit corporations.
    Course ID: 100470
    Components: Lecture
    Grading Method: R
  

  • AGNG 640 - Design, Think, Technology, Environmental Design

    [2]
    Designing for optimal function, adaptation and quality of life in aging can be a unique challange. This course will examine human centered design, a unique approach to problem solving that aims to arrive at solutions that are desirable, feasible and viable. Students are encouraged to approach the world like a designer in order to solve dynamic problems in the field of aging services. Design principles, rapid prototyping and storyboard exercises will help students in building a new and innovative concept that could improve the lives of older adults.
    Course ID: 102301
    Prerequisite: Permission of Instructor
    Components: Lecture
    Grading Method: R
  

  • AGNG 643 - Law, Ethics and Longevity

    [1]
    This course explores concepts in the fields of law and ethics. Various approaches to legal and ethical issues will be discussed. An emphasis is placed on understanding how issues related to human longevity and the delivery of aging services are approached and decided from a legal and ethical perspective.
    Course ID: 052120
    Components: Lecture
    Grading Method: R
  

  • AGNG 645 - Mental Health & Wellness

    [3]
    This course will introduce students to an overview of some of the major mental wellness issues in later life using an integrated analysis of the aging, policy and management concerns that influence mental wellness in elders. Traditional illness and deficit-based models of assessment, intervention and service provision will be contrasted with wellness and strength-based approaches from the perspectives of social and illness narratives, the social and organizational context and the management demands and leadership challenges each presents. Issues such as problem identification, engaging elders, impact on the family, multi-disciplinarity vs. interdisciplinarity, assessment and intervention, provider-consumer relationships, and program outcomes will be addressed.
    Course ID: 100153
    Prerequisite: Permission of Instructor
    Faculty: Peter V. Rabins
    Grading Method: R
  

  • AGNG 661 - Introduction to Interdisciplinary Thinking in MAGS

    [1]
    Using case studies from aging service industries, strategies for interdisciplinary thinking and entrepreneurial solutions are explored. Student teams are tasked to address complex problems in aging services using integrative thinking and an interdisciplinary perspective that draws from the areas of management, policy, and aging studies. Upon completion of AGNG 661, students will be able to describe interdisciplinary approaches to problem solving and why such approaches matter, be familiar with several strategies of interdisciplinary integration and be able to apply integrative thinking to an identified gap or entrepreneurial opportunity.
    Course ID: 100264
    Components: Lecture
    Grading Method: R
  

  • AGNG 662 - Correlation & Review

    [2]
    This course serves as the capstone of the curriculum and requires that the student submit an independently researched paper on an issue of significant importance to older adults and/or to their aging service organization. The intent is for students to structure a proposed solution to the issue selected while bringing to bear an interdisciplinary approach using the knowledge, skills and abilities they have learned in the fields of aging, management and policy. Students will present their research to the advising faculty.
    Course ID: 100300
    Components: Lecture
    Grading Method: R

Marine, Estuarine & Environmental Science
  

  • MEES 608 - Mees Seminar - Advanced Topics in Ecology

    [2]
  

  • MEES 799 - Master’s Thesis Research

    [2-9]
    Master’s thesis research under the direction of a UMBC MEES faculty member.
    Note: Six credit hours are required for the master’s degree.
  

  • MEES 898 - Pre-Candidacy Doctoral Research

    [3-9]
    Research on doctoral dissertation conducted under the direction of a faculty advisor before candidacy.
  

  • MEES 899 - Doctoral Dissertation Research

    [9]
    Doctoral dissertation research under the direction of a UMBC MEES faculty member.
    Note: A minimum of 18 credit hours is required for the doctorate.
  

  • MEES 7700 - Master’s Special Study

    [1]
  

  • MEES 8800 - Doctoral Special Study

    [1]

Math Education
  

  • MAED 501 - Rational Number Operations and Problem-Solving

    [3]
    This course will be an interactive exploration and development of problem-solving skills and strategies. A problem may be solved by several approaches; two problems that seem solvable by a similar approach may use very different forms of that approach. To that end, problems and their solutions are unique. Confidence and skill in problem-solving, then, are built through practice. The class time and the related assignments will be structured around this practice. A variety of strategies will be suggested and modeled; however, the focus will be on student-generated solutions. Participants will be expected to work both individually and cooperatively in small groups in this process.
  

  • MAED 502 - Geometry and Spatial Reasoning

    [3]
    This course will examine the major topics of geometry, including inductive and deductive reasoning; area, perimeter and volume; similarity, congruence and proportional reasoning; application and proofs of the Pythagorean theorem; symmetry and transformational geometry; comparisons and proofs. A major project is required.
  

  • MAED 503 - Algebraic Reasoning

    [3]
    This course is designed to help the participants improve their technical skills in algebra while deepening their understanding of the major concepts and principles underlying algebraic reasoning. Graphing calculators will be used to develop conceptual understanding of algebraic concepts, procedures and problem-solving strategies.
  

  • MAED 504 - Statistics, Data Analysis and Probability

    [3]
    This course is an introduction to the basic concepts of statistics and probability, including measures of central tendency and variability, sampling distributions, correlation and regression, and the empirical determination of probabilities. Much of the course is spent on the analysis of data, the examination measures of center spread and correlation and the mathematics involved with drawing inferences and making predictions. Calculator-based methods for data collection and display, statistical calculation and simulation of probability experiments are also explored.
  

  • MAED 505 - Advanced Algebra and Trigonometry

    [3]
    This course is designed to help the participants improve their technical skills in advanced algebra and trigonometry while deepening their understanding of the major concepts and principles underlying algebraic and trigonometric reasoning. This course is a prerequisite for MAED 506 : Concepts and Applications of Calculus.
  

  • MAED 506 - Concepts and Applications of Calculus

    [3]
    Calculus is the study of how things change mathematically. It also studies how continuous data can be accumulated and manipulated. In this course, participants will learn to use derivatives and integrals to calculate rates of change, areas and volumes, velocity and acceleration, growth and decay and to produce sketches of unknown objects. Through class discussions and problem sessions participants will learn to use the tools of calculus to understand and quantify the physical world.
  

  • MAED 507 - Adv Teaching, Learning, And Curricula In Math

    [3]
    This course is designed to improve student learning in the mathematics classroom by deepening the participants understanding of how children learn mathematics, how to select instructional tasks and strategies that will enhance the learning of mathematics, and how to integrate assessment with instruction to implement change in the mathematics program.
  

  • MAED 521 - Mathematical Reasoning

    [3]
    This course examines different types of mathematical reasoning. Topics include but are not limited to arithmetic, proportional, algebraic, probabilistic, geometric/spatial, analogical, deductive, inductive, and axiomatic thinking. Inquiry experiences provide course participants with the opportunities to experience and compare these different forms of reasoning and a variety of problem-solving strategies. Research on learning and teaching mathematical reasoning in school mathematics will be explored and applied through a case study of students’ mathematical reasoning.
  

  • MAED 527 - Culturally Responsive Teaching in Mathematics

    [3]
    Culturally responsive instruction is a dynamic form of teaching which considers students’ culture to choose and implement instruction in a way that builds and supports the culture and individual characteristics of all students in the mathematics classroom. Culturally responsive instruction includes but is not limited to the following instructional strategies: relating mathematics to real-life experiences, creating a safe and supportive learning community within the classsroom which is student-centered and teacher facilitated, and helping students develop the language and concepts of mathematics.
  

  • MAED 531 - Number, Number Systems and Operations

    [3]
    This course examines the foundations of number, number systems and operations. Emphasis is on whole number, integers, and rational numbers. Teachers use manipulatives, calculators and a variety of visual technologies to represent number concepts and processes. Emphasis is on inquiry to develop students’ number sense. Focus on student thinking samples and diagnosis and development of student thinking.
  

  • MAED 535 - Explorations in Discrete Mathematics and Calculus

    [3]
    This course is designed for elementary and middle school teachers to explore discrete mathematics and calculus concepts. Topics in discrete mathematics include logic, set theory, combinatorics and graph theory. Calculus topics will include introductions to limits, derivatives and integrals. Applications of discrete mathematics and calculus will be explored. Students will investigate national mathematics standards at the elementary and middle school level to make connections between the mathematics they teach and the discrete mathematics and calculus topics of this course.
  

  • MAED 551 - Inquiry I: Patterns, Functions and Algebra

    [3]
    This course uses an inquiry approach to investigate essential and advanced algebraic concepts. Topics include but are not limited to patterns, functions, relations, variables, equality, algebraic representation, justification, and proof. Course participants learn how to use manipulatives graphing calculators, and other visual technologies to create active learning classroom communities. Research on learning and teaching algebra, with emphasis on linear, quadratic, and exponential functions is the foundation for developing research-based teaching practices in algebra. Course participants assess student work samples in algebra, and design intervention strategies to deepen students’ algebraic understanding.
  

  • MAED 552 - Inquiry II: Probability, Data Analysis, and Statistics

    [3]
    This course uses an inquiry approach to investigate essential concepts from probability, data analysis, and statistics including descriptive and inferential statistics topics. Course participants learn how to use manipulatives, graphing calculators, software, and other analogical reasoning tools to create active learning classroom communities. Research on learning and developing students’ probabilistic and statistical reasoning is the foundation for developing research-based teaching practices in probability and statistics. Course participants assess student work samples in probability, data analysis, and statistics, and design instructional activities and intervention strategies to move students’ mathematical thinking forward.
  

  • MAED 553 - Inquiry III: Spatial Reasoning, Geometry, and Proof

    [3]
    This course uses an inquiry approach to investigate essential and advanced geometric concepts and spatial reasoning. This course is designed for secondary mathematics teachers who want to boost their content and pedagogy knowledge by exploring Euclidean, Non-Euclidean, and finite geometries to develop an appreciation of axiomatic systems and proof. Additionally, students will use manipulatives, graphing calculators, dynamic geometry drawing tools to create inquiry experiences and active learning classrooms. Exposure to research on learning and teaching geometry, measurement and proof as the foundation for the developing research-based teaching and assessment practices in geometry. Course participants assess student work samples in geometry, and design intervention strategies to move the thinking of geometry students forward using the Van Hiele Levels of Geometric Understanding. Applications to geometry in art, architecture, nature, computer graphics, and other fields are incorporated.
  

  • MAED 556 - Discrete Mathematics and Problem Solving

    [3]
    This course explores discrete mathematics and its applications in science and technology. Topics include logic and proof, induction and recursion, number theory, set theory, combinatorics and discrete probability, algorithms, algorithm analysis, and discrete structures. Students will use a variety of problem solving strategies and reflect upon the mathematical process of problem solving. Students will also investigate how discrete mathematics concepts are embedded in the national standards of K-12 mathematics courses and ways to teach discrete mathematics in the K-12 classroom.
    Prerequisite: Prerequisite: Admission to the MAE program or permission of the Education Department

Mathematics
  

  • MATH 404 - Introduction to Partial Differential Equations I

    [3]
    Linear and quasi-linear first order equations, method of characteristics, linear second order equations,derivations, classifications, and fundamental solutions, integral transforms, self-adjoint operators, Sturm-Liouville problems and eigenfunction expansions, Fourier series, boundary and initial value problem for potential, wave, and heat equations, Green’s functions, and distributions.
  

  • MATH 600 - Real Analysis

    [3]
    Review of properties of (usual) norm and inner product in Rn, countable and uncountable sets. Basic ideas of metric spaces. Compact, connected, and complete metric spaces, continuous and uniformly continuous functions on metric spaces. Fixed points and Banach contraction principle. Uniform convergence of sequences and series of functions, term-by-term differentiation and integration. Power series and radius/interval of convergence. Arzela-Ascoli theorem. The weierstrass approximation theorem on a compact interval. Differentiation in Rn. Inverse and implicit function theorems.
    Prerequisite: Prerequisite: MATH 301.
  

  • MATH 601 - Measure Theory

    [3]
    Measure and integration: sigma-algebras, measures, outer measures, Borel measures on R, measurable functions, integration of non-negative functions, mode of convergence, product measures, Lebesgue integral on R, decomposition and differentiation of measures, signed measures, the Lebesgue- Radon-Nikodym theorem, differentiation on R, functions of bounded variation spaces, basic theory of Lp spaces and the dual of Lp.
    Prerequisite: Prerequisite: MATH 302, MATH 401 or consent of instructor.
  

  • MATH 602 - Complex Analysis

    [3]
    Complex numbers and their algebraic and geometric properties, moduli, polar form, powers and roots, analytic functions, derivatives, Cauchy-Riemann equations, harmonic functions, elementary functions, definite integrals, contours, line integrals, Cauchy-Goursat theorem, Cauchy integral formula, derivatives, Morera’s theorem, maximum modulus theorem, Liouville’s theorem and fundamental theorem of algebra, Schwarz lemma and applications, Taylor and Laurent series, integration and differentiation of series, residues and poles, mapping by elementary functions and conformal mapping.
    Prerequisite: Prerequisite: MATH 600  or consent of instructor.
  

  • MATH 603 - Matrix Analysis

    [3]
    Topics in this course will include a review of basic matrix operations, determinants,rank, matrix inverse and solving linear equations. The course then will study partitioned matrices, eigenvalues and eigenvectors, spectral decomposition, singular-value decomposition, Jordan canonical form, orthogonal projections, idempotent matrices, quadratic forms, extrema of quadratic forms, non-negative definite and positive definite matrices, and matrix derivatives.
    Prerequisite: Prerequisite: MATH 221, 251 and 301, or permission of the instructor.
  

  • MATH 604 - Functional Analysis

    [3]
  

  • MATH 611 - Applied Analysis

    [3]
    Hilbert and Banach spaces, linear operators and quadratic functional, orthogonal bases and the generalized Fourier series, variational problems and the methods of Ritz-Galerkin, least squares and steepest descent, applications to boundary value problems for ordinary and partial differential equations.
    Prerequisite: Prerequisite: MATH 600  or consent of instructor.
  

  • MATH 612 - Ordinary Differential Equations

    [3]
    Matrix exponentials, linear systems of equilibria, phase diagrams, non-linear systems, existence, uniqueness and dependence on initial data, stability by linearization and by Liapunov’s direct method, limit sets and LaSalle’s invariance principle, periodic orbits and self-sustained oscillations, Poincare Bendixon theory, Floquet theory, gradient systems, applications to mechanical systems and predator-prey problems.
    Prerequisite: Prerequisite: MATH 225, MATH 301, MATH 302 or consent of instructor.
  

  • MATH 614 - Partial Differential Equations

    [3]
    Quasi-linear, first-order PDEs; conservation laws; the method of characteristics; discontinuous solutions and shock waves; linear second-order PDEs and their classification; maximum principles; elliptic PDEs; Sobolev spaces and existence of weak solutions; and regularity.
    Prerequisite: Prerequisite: MATH 600  or consent of instructor.
  

  • MATH 617 - Introduction to Industrial Mathematics

    [3]
    The objective of this course is the survey of mathematical and statistical techniques traditionally important to quantitative modeling in industry and government. Topics might include, but are not restricted to, data acquisition and manipulation, discrete Fourier transform and image processing, linear programming, regression, random variables and distributions, Monte Carlo method, ordinary and partial differential equations, with applications of these concepts to industrial problems. The course is not designed to substitute for any course covering these topics in detail, but rather to link a survey of techniques to applications.
    Prerequisite: Prerequisite: MATH 251, MATH 225, MATH 221, STAT 355 or consent of the instructor. Some programming experience is recommended.
  

  • MATH 620 - Numerical Analysis

    [3]
    Interpolation, numerical differentiation and integration, solution of non-linear equations, acceleration of convergence, numerical treatment of differential equations. Topics will be supplemented with programming assignments.
    Prerequisite: Prerequisites: MATH 221, MATH 301 and familiarity with a high-level programming language or consent of instructor.
  

  • MATH 621 - Numerical Methods For Partial Differential Equations

    [3]
    Finite difference methods for elliptic, parabolic and hyperbolic equations; first-order systems; the eigenvalue problems; variational formulation of elliptic problems, and the finite element method and its relation to finite difference methods.
    Prerequisite: Prerequisites: MATH 620 , MATH 630  and familiarity with a high-level programming language or consent of instructor.
  

  • MATH 625 - Computational Mathematics and C Programming

    [3]
    Introduction to theory and computational algorithms in selected topics of interest to mathematicians, engineers and scientists. Includes design and implementation of algorithms as C programs. Representative topics: solution of linear systems, the wavelet transform and applications to image processing and image compression, minimization routines for multi-variable functions and application to determining the equilibria of statically indeterminate trusses, Legendre polynomials and their derivatives, Gaussian quadrature of arbitrary order, non-linear system solvers, mesh generation routines and other ancillary components leading to an implementation of a simple but general-purpose finite element solver for elliptic partial differential equations in the plane. The course includes a concurrent and intensive introduction to programming in C.
    Prerequisite: Prerequisite: MATH 221, MATH 225, MATH 251 or consent of instructor.
  

  • MATH 627 - Introduction to Parallel Computing

    [3]
    This course introduces students to scientific computing on modern parallel computers. Examples of numerical algorithms will be taken from several areas of mathematics, including numerical analysis and numerical linear algebra. Students will discuss the implications of the parallel architecture on the design of numerical algorithms. Standard packages available for low-level parallel computing will be introduced to implement high-level algorithms. Parallel computing equipment will be made available to students enrolled in the course. The course includes a significant portion of instruction dedicated to learning the parallel programming language on that machine.
    Prerequisite: Prerequisite: MATH 630 , fluency in C or Fortran programming or consent of instructor.
  

  • MATH 630 - Numerical Linear Algebra

    [3]
    Review of basic matrix theory, algebraic properties of eigenvalues and eigenvectors, diagonalization of square matrices, vector and matrix norms, singular value decomposition, orthogonal projections and generalized inverses, Matrix decompositions, LU, QR and Cholesky decompositions, numerical algorithms and applications. Topics will be supplemented with programming assignments.
    Prerequisite: Prerequisites: MATH 221, MATH 301 and familiarity with a high-level programming language or consent of instructor.
  

  • MATH 635 - Foundations of Finite Element Methods

    [3]
    Variational formulations of physical problems; Ritz-Galerkin method; h, p and hp finite element spaces; approximation theory. A selection of topics from: plate and shell elements, mixed methods, superconvergence, a posterior error estimation, reliability and adaptivity. Computational experience with finite element codes will be provided.
    Prerequisite: Prerequisites: MATH 600 , MATH 620  and familiarity with a high-level programming language or consent of instructor.
  

  • MATH 640 - Linear Systems

    [3]
    Impulsive functions, signal representations and input-output relations, dynamic equations in the time and frequency domains, observability and controllability for continuous and discrete time, real stability and stabilization of linear systems, quadratic regulators for continuous and discrete time systems, asymptotic observers and compressor design.
    Prerequisite: Prerequisite: STAT 451 or consent of instructor.
  

  • MATH 650 - Foundations of Optimization

    [3]
    Study of the fundamental theory underlying linear and nonlinear optimization; unconstrained and constrained optimization; first- and second-order optimality conditions for unconstrained optimization; Fritz John and Kuhn-Tucker conditions; fundamental notions of convex sets and convex functions; theory of convex polyhedral; duality; linear programming, quadratic programming.
    Prerequisite: Prerequisites: MATH 251, MATH 430, MATH 302 or consent of instructor.
  

  • MATH 651 - Optimization Algorithms

    [3]
    Design and analysis of algorithms for linear and non-linear optimization; first-order numerical methods for unconstrained optimization (line-search methods, steepest-descent method, trust-region method, conjugate-gradient method, quasi-Newton methods, methods for large scale problems); Newton’s method; numerical methods for linear programming (simplex methods, interior-point methods); numerical methods for constrained optimization (penalty, barrier, and augmented-Lagrangian methods, sequential quadratic programming method).
    Prerequisite: Prerequisite: MATH 221, MATH 251, or consent of instructor. MATH 650  recommended.
  

  • MATH 652 - Stochastic Models in Operations Research

    [3]
    Stochastic programming, Markov decision processes, stochastic inventory models and sequential stochastic games.
    Prerequisite: Prerequisites: MATH 650 , MATH 681 , STAT 611  or consent of instructor.
  

  • MATH 655 - Calculus of Variations

    [3]
    Classical calculus of variations, the simplest variational problem, examples, variation of a functional, the Euler-Lagrange equations, the isoperimetric problem, constrained variational problems, Legendre’s condition, Jacobi necessary condition, connection between Jacobi condition and the theory of quadratic forms, the field of a functional, Hilbert invariant integral, Weierstrass E-function, Riccati differential equation, Noether’s theorem, the principle of least action, conservation laws and the Hamilton-Jacobi equation.
  

  • MATH 671 - Topology

    [3]
    Metric spaces, topological spaces, derived topological spaces, separation axioms, generalized convergence, covering properties and compactness, connectedness, metrizability, complete metric spaces and introduction to homotopy theory.
    Prerequisite: Prerequisite: MATH 301.
  

  • MATH 673 - Differential Geometry

    [3]
    The differential geometry of curves and surfaces, curvature and torsion, moving frames, fundamental differential forms and intrinsic geometry of a surface.
    Prerequisite: Prerequisites: MATH 221 and MATH 251.
  

  • MATH 681 - Linear Algebra

    [3]
    Finite-dimensional vector spaces, subspaces, linear transformations and matrices. Further topics to be chosen from: convex sets and convex functional; dual space; direct sum and quotient space; minimal polynomials; Jordan canonical form; inner product; normal, symmetric and orthogonal transformations and applications.
    Prerequisite: Prerequisite: MATH 221 or consent of instructor.
  

  • MATH 683 - Number Theory

    [3]
    Divisibility, prime numbers, modules and linear forms, unique factorization theorem, Euler’s function, Mobius function, cyclothymic polynomials, congruences and quadratic residues, Legendre’s and Jacobi’s symbol, reciprocity law of quadratic residues and introductory explanation of the method of algebraic number theory.
    Prerequisite: Prerequisite: MATH 301.
  

  • MATH 685 - Combinatorics and Graph Theory

    [3]
    General enumeration methods, difference equations, generating functions. Elements of graph theory, including transport networks, matching theory and graph algorithms.
    Prerequisite: Prerequisite: MAT 301 or consent of instructor.
  

  • MATH 688 - Abstract Algebra

    [3]
    Sets and mapping, groups, sub-groups, homomorphisms, Sylow and Cayley theorems, rings and ideals, Euclidean rings, extension fields and Galois theory.
    Prerequisite: Prerequisites: MATH 301 and MATH 302 or consent of instructor.
  

  • MATH 690 - Mathematics Seminars

    [0]
  

  • MATH 699 - Independent Study in Mathematics

    [1-6]
  

  • MATH 700 - Special Topics in Numerical Analysis

    [1-3]
  

  • MATH 710 - Special Topics in Applied Mathematics

    [1-3]
  

  • MATH 717 - Projects in Industrial Mathematics

    [3]
    The primary objective of the course is to apply knowledge gained in students’ graduate program to a number of micro-projects in a way that reflects procedures done in non-academic settings. This includes working in a team on the projects; helping to prepare a written report on the problem formulation, analysis and results; and giving an oral presentation on the work. The industrial-oriented problems might need modeling involving methodologies from probability, statistics, ordinary or partial differential equations or discrete mathematics. The course is considered a core requirement for students taking the industrial mathematics master’s degree option, but other students are encouraged to participate.
    Prerequisite: Prerequisite: MATH 617  or consent of instructor.
  

  • MATH 740 - Special Topics in Systems Theory and Operations Research

    [1-3]
  

  • MATH 750 - Introduction to Interdisciplinary Consulting

    [3]
    This course provides an introduction to professional consulting. Students will gain experience in approaching application problems, translating them into the language of mathematics and statistics, applying mathematical and statistical tools including software, and delivering the product to the client. People from across campus and from local companies and government agencies will serve as clients to provide real-life consulting experience. If the course is integral to a student’s curriculum, the course can be repeated once for credit by petitioning the graduate program director.
  

  • MATH 799 - Master’s Thesis Research

    [1-6]
    Master’s thesis research under the direction of a UMBC MEES faculty member.
    Note: Six credit hours are required for the master’s degree.
  

  • MATH 898 - Pre-Candidacy Doctoral Research

    [1-6]
    Research on doctoral dissertation conducted under the direction of a faculty advisor before candidacy.
  

  • MATH 899 - Doctoral Dissertation Research

    [9]
    Research on doctoral dissertation is conducted under direction of faculty advisor.
    Admission to Doctoral Candidacy Required
    Note: A minimum of 18 credit hours are required. This course is repeatable.
  

  • MATH 6140 - Dynamical Systems

    [3]
  

  • MATH 7700 - Master’s Special Study

    [1]
  

  • MATH 8800 - Doctoral Special Study

    [1]

Mechanical Engineering
  

  • ENME 501 - Principles of Engineering

    [3]
    This course provides an overview of engineering and engineering technology. Definitions and types of engineering, communication and documentation of engineering design, the design process, engineering systems, statics and strength of materials, materials and materials testing in engineering, engineering for reliability, and an introduction to dynamics/kinematics are discussed. Emphasis is placed on engineering education pedagogy, delivery methods and assessment. Does not apply to a graduate degree in Mechanical Engineering.
  

  • ENME 502 - Introduction to Engineering Design

    [3]
    Using computer modeling software, students solve design problems as they develop, create and analyze product models. Introduction to design, sketching and visualization, geometric relationships, modeling, assembly modeling, model analysis and verification, model documentation, presentation, production, and marketing are addressed. Autodesk Inventor is used as a design tool. Does not apply to a graduate degree in Mechanical Engineering.
  

  • ENME 503 - Digital Electronics

    [3]
    Develop logical thinking skills by solving problems and designing control systems. Use computer simulations to learn about the logic of electronics as to design, test and construct circuits and devices. Digital electronics fundamentals, number systems, gates, Boolean algebra, combination circuit design, adding, flip-flops, shift registers and counters, families and specifications, and microprocessors are studied. Emphasis is placed on engineering education pedagogy, delivery methods and assessment. Does not apply to a graduate degree in Mechanical Engineering.
  

  • ENME 600 - Design With Advanced Technology

    [3]
    Synthesis of stress analysis and properties and characteristics of materials as related to design. Areas covered: combined stress designs, optimizations, composite structures, stress concentrations, design under various environmental conditions, metal working and limit analysis. Review of design literature, design project.
  

  • ENME 605 - Advanced Control Systems

    [3]
    This course deals with modeling, analysis, and control of both linear and nonlinear dynamic systems. Topics covered include input-output and state space representations of continuous and discrete-time systems; modeling of mechanical and electrical systems; stability, controllability, and observability; design and analysis of feedback control systems in the transform and time domains; state observers and estimation methods; linear quadratic optimal control; and advanced nonlinear control strategies. Graduate student research areas and topics may be integrated into the course project component.
    Course ID: 054250
    Prerequisite: Prerequisite: ENME 403
  

  • ENME 606 - Systems Analysis II

    [3]
    Non-linear systems using series and linearization techniques, switching systems, classical and state space techniques, discrete systems and hybrid systems, systems using stochastic inputs, introduction to filtering and estimating.
  

  • ENME 607 - Systems Integration and Simulation

    [3]
    Modeling of complex electro-mechanical, fluid and thermal systems, digital and analog computer simulation in the time and frequency domain for dynamic analysis, modification of system characteristics to meet response requirements and application to mechanical engineering systems.
    Prerequisite: Prerequisite: Graduate-level mathematics.
  

  • ENME 610 - Design Optimization with Engineering Applications

    [3]
    This graduate-level course presents analytical and numerical methods utilized in the solution of design optimization problems encountered across different disciplines in engineering. The content of the course includes mathematical analysis of one- and multi-deminsional problems, gradient-based (e.g., GRG, SQP), and gradient-free (e.g., GA, SA) methods. Students will have the opportunity to develop their programming skills and use commercially available computational tools.
    Course ID: 054253
    Prerequisite: Prerequisite: Advanced standing in ME
  

  • ENME 611 - Advanced Manufacturing Processes

    [3]
    Consideration of the costs of manufacturing processes in design; characterization of manufacturing processes as basic (casting, forging, molding) or secondary (machining, cold working, drawing), and description of processes in terms of capabilities, costs and effects on mechanical properties of the product.
    Prerequisite: Prerequisite: ENME 300 or equivalent.
  

  • ENME 615 - Product Development

    3
    This course will address the methods and processes for developing new products, defining market opportunities, product planning, product design and manufacturing. Topics covered will include market research and collecting user requirements, translation of user needs into product specifications, prototyping/market testing to evaluate product concepts, product design, manufacturing planning, and product launch.
    Course ID: 102394
    Prerequisite: Undergraduate degree in engineering or related field
    Components: Lecture
    Grading Method: R
  

  • ENME 616 - Manufacturing Operations

    [3]
    This course will cover the process of translating a prototype into a viable product, specifically focusing on the business/operational aspects of product development and manufacturing. Topics covered will include manufacturing process planning, statistical process control and six sigma, product testing, lean manufacturing, and supply chain management.
    Course ID: 102387
    Prerequisite: ENME 615 Product Development or Instructor Permission
    Components: Lecture
    Grading Method: R
  

  • ENME 617 - Advanced Manufacturing Processes

    [3]
    The focus of the course is for students to develop an understanding of the design for manufacturing and assembly (DFMA) process, specifically how to select a fabrication process for a particular component/application and then optimize the design for that process. The course will cover the spectrum of manufacturing processes, from prototyping and digital fabrication methods to machining and injection molding and will include hands-on fabrication of components using a variety of fabrication methods (machining, digital fabrication, injection molding).
    Course ID: 102388
    Prerequisite: ENME 616 Manufacturing Operations or Instructor Permission
    Components: Lecture
    Grading Method: R
  

  • ENME 618 - Organizational Management for Product Design and Manufacturing

    [3]
    This course will cover management of the product development process and cross-functional product development teams. It will include organizational structures, personality profiles and diversity, management practices, the challenges of cross-functional team dynamics, project management tools, earned value, and fundamentals of budgets/accounting.
    Prerequisite: ENME 615 or Instructor Permission
    Components: Lecture
    Grading Method: R
  

  • ENME 631 - Advanced Conduction and Radiation Heat Transfer

    [3]
    Theory of conduction and radiation, anisotropic conduction and bi-directional radiation properties and experiments, general conduction and radiation governing equations, integration, finite difference and finite element techniques; combined conduction and radiation; and engineering applications.
    Prerequisite: Prerequisites: ENME 315, ENME 321 and ENME 700.
  

  • ENME 632 - Advanced Convection Heat Transfer

    [3]
    Theory of convection and mass transfer in pipe flow, boundary layer flow, separated flow, free convection, boiling and condensing; flow and energy equations, solutions and engineering applications; and experimental methods.
    Prerequisite: Prerequisite: ENME 315, ENME 342, ENME 343 and graduate-level mathematics.
  

  • ENME 633 - Advanced Classical Thermodynamics

    [3]
    The laws of classical thermodynamics, equations of state, temperature scales, availability, general equilibrium, corollaries to the second law and chemical thermodynamics.
    Prerequisite: Prerequisite: ENME 217.
  

  • ENME 640 - Fundamentals of Fluid Mechanics I

    [3]
    A broad study of fundamental principles of fluid mechanics, including potential flow, viscous flow, compressible flow and convection.
 

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