Jul 31, 2024  
2012-2013 Graduate Catalog 
    
2012-2013 Graduate Catalog [ARCHIVED CATALOG]

Graduate Course Descriptions


 

Linguistics

  
  • LIN 505 - Phonetic Theory

    (4 credits)

    An introduction to articulatory and acoustic descriptions of spoken language, and training in the recognition and production of sounds found in languages other than English.

     

  
  • LIN 507 - Introduction to Semantics

    (4 credits)

    Fundamentals of semantic analysis using data from a variety of languages.

  
  • LIN 510 - Language Structure, Variation and Change

    (4 credits)

    Nature of human language within a modern linguistic framework using data from English and other languages. Overview of sound, structure, meaning, dialect variation, historical change, and linguistic universals. Survey of the English language from its beginning to modern times.

  
  • LIN 515 - Computer Parsing of Natural Language

    (4 credits)

    An examination of the syntactic and semantic properties of natural language and a survey of the techniques for computer parsing. Student projects in the computer analysis of language.

  
  • LIN 557 - Cognitive Linguistics

    (4 credits)

    A cognitive/functional approach to grammatical theory focusing on the relation between language and cognition in the study of semantic, lexical and grammatical structure.

  
  • LIN 576 - History of the English Language

    (4 credits)



    A detailed survey of the English language from its beginning to modern times.

  
  • LIN 580 - Proseminar in Linguistics

    (4 credits)



    Overview of current major issues and research in theoretical and applied linguistics.

     

    Prerequisite(s): Student must meet prerequisites (LIN 503 and LIN 504).

  
  • LIN 590 - Directed Readings

    (4 credits)



    Directed individual research on specific topics.

     

    Prerequisite(s): Student must have permission of instructor.

  
  • LIN 600 - Special Topics in Linguistics

    (4 credits)



     

    Topics and problems selected by the instructor.

    Prerequisite(s): Student must have permission of instructor.

  
  • LIN 603 - Phonological Theory

    (4 credits)

     

    Theory and application of phonological analysis, with emphasis on original work.

     

    Prerequisite(s): Student must meet prerequisite (LIN 503) with a grade of 3.0 or higher.

  
  • LIN 604 - Syntactic Theory

    (4 credits)

     

    Presentation of theory and application of syntactic analysis, with emphasis on original work.

     

    Prerequisite(s): Student must meet prerequisite (LIN 504) with a grade of 3.0 or higher.

  
  • LIN 607 - Semantic Theory

    (4 credits)

    Inquiry into contemporary efforts to formulate and articulate a theory of meaning adequate for the analysis of natural language, with emphasis on the relation between syntactic and semantic analysis. 

     

    Prerequisite(s): Student must meet prerequisite (LIN 507) with a grade of 3.0 or higher.

  
  • LIN 609 - Studies in the Structure of a Language

    (4 credits)



    A study of the structural aspects of an individual language to be determined by the instructor.

     

    Prerequisite(s): Student must meet prerequisite (LIN 503 or LIN 504).

  
  • LIN 613 - Advanced Phonology

    (4 credits)

    An advanced course in phonology with emphasis on current issues in phonological theory.

    Prerequisite(s): Student must meet prerequisite (LIN 603).

  
  • LIN 614 - Advanced Syntax

    (4 credits)

    An advanced course in syntax with emphasis on current issues in syntactic theory.

    Prerequisite(s): Student must meet prerequisite (LIN 604).

  
  • LIN 615 - Problems in Computational Linguistics

    (4 credits)

    Directed research projects on special topics in computational linguistics.

    Prerequisite(s): Student must have permission of instructor.

  
  • LIN 617 - Advanced Semantics

    (4 credits)

    An advanced course in semantics with emphasis on current issues in semantic theory.

    Prerequisite(s): Student must meet prerequisite (LIN 607).

  
  • LIN 670 - History of Linguistics

    (4 credits)

    An examination of the major movements and trends in the history of linguistics from ancient India to the present.

    Prerequisite(s): Student must have completed 12 credits in LIN courses including LIN 503 and LIN 504.

  
  • LIN 680 - Seminar in Linguistics

    (4 credits)

    A research seminar designed to develop a student’s skill in linguistic investigation and exposition. Student must complete a research paper. May be graded numerically or Satisfactory/Unsatisfactory with prior agreement with instructor.

    Prerequisite(s): Student must meet prerequisites (LIN 503 and LIN 504) and have permission of instructor.

  
  • LIN 690 - The Master’s Thesis

    (4 credits)

    Completion of a project proposed by a degree candidate in consultation with his/her adviser.

    Prerequisite(s): Student must meet prerequisites (LIN 503 and LIN 504) and have permission of department.


Management

  
  • MGT 526 - International Business

    (3 credits)

    Examination of the international business environment, including cultural, economic, social, political, legal and financial dimensions. Topics include: strategic planning, production and distribution logistics, technology, transfer pricing, risk analysis. Accounting, finance, marketing, information systems and human resources in a global setting will be introduced. Multinational corporations, regional agreements and public policy round out the course.

  
  • MGT 535 - Policy, Strategy and Goals

    (3 credits)

    Application of management tools of economics, statistics, organizational behavior, accounting, marketing, finance, operations management and management information systems to the analysis of organizational case studies. International and ethical issues related to strategic management are discussed.

    Prerequisite(s): Student must be at the end of their MBA program and have permission of the Coordinator of Graduate Business Programs.

  
  • MGT 536 - Policy, Strategy and Goals-International

    (3 credits)

    An alternate capstone to the MBA program, where all facets of knowledge acquired through the core curriculum are used to analyze, assess, and formulate strategic plans to address the complex issues in the global marketplace. This course provides students a venue to develop strategic plans form a global lens.

  
  • MGT 550 - Legal Environment of Business

    (3 credits)

    Examination of the legal environment as it affects business, emphasizing the U.S. and international legal systems, ethical analysis of public policy and managerial decisions, functions and powers of regulatory agencies, and the laws relating to securities, business organizations, employment practices, antitrust and the environment.

  
  • MGT 611 - Master’s Project

    (6 credits)

    An intense study of a practical management problem that requires the collection and analysis of data in an actual organizational setting and the presentation of recommendations to solving the problem to the management of the organization. The final project report is to be submitted in approved format to the Office of Graduate Business Programs and the sponsoring faculty member.

    Prerequisite(s): A written contract must be prepared and approved by department chair and Office of Graduate Business Programs before registration is permitted. Student must have prior approval of instructor.

  
  • MGT 638 - Labor-Management Relations

    (3 credits)

    Analysis of management-employee relations in modern organizations and public policy in labor-management areas.

    Prerequisite(s): Student must meet the prerequisites (ECN 521, MGT 550, ORG 530) or their equivalents.

  
  • MGT 642 - Supply Chain Purchasing

    (3 credits)

    Strategic issues in purchasing. Topics covered include: distinction between cost and price; study of relationships with suppliers, negotiations and commodity strategies. Supplier evaluation techniques will also be discussed. This course will be helpful to both procurement and sales professionals.

    Prerequisite(s): Student must meet the prerequisites (MKT 560 and POM 521) or their equivalents.

  
  • MGT 656 - Entrepreneurship

    (3 credits)

    Study of entrepreneurship (including intrapreneurship) for students who are thinking of starting their own company or are striving to promote innovation within an established company. The course focuses on assessing venture feasibility, analyzing and planning product and service initiatives, and obtaining financing. The course will also provide a realistic preview of the challenges and excitement of entrepreneurship.

    Prerequisite(s): Student must meet the prerequisites (ACC 512, FIN 533, MKT 560) or their equivalents.

  
  • MGT 660 - Launching and Managing Small Businesses

    (3 credits)

    Analysis of the role of small businesses in the U.S. economy, the Small Business Administration, franchise opportunities, consulting as a business and the launching, financing and managing of a small business. A significant project is required.

    Prerequisite(s): Student must meet the prerequisites (ECN 521, ACC 512, FIN 533, MIS 524, MKT 560, POM 521) or their equivalents.

  
  • MGT 670 - Business Ethics

    (3 credits)

    The examination of business ethics and morality as they shape and influence the business environment. The student will develop an awareness of problem areas in the conduct of business. Some of the issues discussed can include but are not limited to: conflicts of interest, honesty, environmental issues, whistle blowing and ethical theory.

    Prerequisite(s): Student must meet the prerequisite (MGT 550) or its equivalent.

  
  • MGT 680 - Special Topics in Management



    The analysis of topics of current interest in management. Topics vary. See Schedule of Classes for current offering. Course may be repeated for a maximum of 6 credits. Same course cannot be repeated.

  
  • MGT 681 - Special Topics in International Business

    (3 credits)

    The analysis of topics of current interest in international business. Topics vary. See Schedule of Classes for current offering. Course may be repeated for a maximum of 6 credits. Same topic cannot be repeated.

    Prerequisite(s): Student must meet the prerequisite (MGT 526) or its equivalent.

  
  • MGT 682 - Special Topics in Entrepreneurship

    (3 credits)

    The analysis of topics of current interest in entrepreneurship. Topics vary. See Schedule of Classes for current offering. Course may be repeated for a maximum of 6 credits. Same topic cannot be repeated.

    Prerequisite(s): Student must meet prerequisite (MKT 560).

  
  • MGT 690 - Independent Study in Management

    (1 to 3 credits)

    Independent individual research on a topic chosen by the student. A written contract must be prepared and approved by Department Chair and Office of Graduate Business Programs before registration is permitted.

    Prerequisite(s): Student must have prior approval of instructor.

  
  • MGT 691 - Independent Study in International Business

    (3 credits)

    Independent individual research on a topic chosen by the student in consultation with the instructor. A written contract must be prepared and approved by Department Chair and Office of Graduate Business Programs before registration is permitted.

    Prerequisite(s): Student must meet prerequisite (MGT 526) and have prior approval of instructor.

  
  • MGT 692 - Independent Study in Entrepreneurship

    (3 credits)

    Independent individual research on a topic chosen by the student in consultation with the instructor. A written contract must be prepared and approved by Department Chair and Office of Graduate Business Programs before registration is permitted.

    Prerequisite(s): Student must have prior approval of instructor.


Management Information Systems

  
  • MIS 504 - Introduction to Information Systems Management

    (3 credits)

    This course provides an introduction to various information systems and how they support the operations, control, planning and communication functions of a business. The role of technologies in support of various systems is discussed, along with some introduction to IT strategy and development methodologies.

    Prerequisite(s): Student must be admitted to the MSITM program or have permission of instructor.

  
  • MIS 505 - Technology of Information Systems

    (3 credits)

    This course introduces information technology as an enabler of the development, operation and management of information systems. A business process perspective is emphasized.

    Prerequisite(s): Student must be admitted to MSITM program or have permission of instructor.

  
  • MIS 514 - Systems Analysis

    (3 credits)

    This course looks at the analysis of user requirements in support of various business processes that are redesigned to meet organizational objectives. Given that systems are designed to support decisions at various levels in the organization, the life cycle as well as prototyping methodologies are used to develop user requirements and assess information systems development feasibility.

  
  • MIS 515 - Systems Design

    (3 credits)

    This course presents an overview of the theory and practice of designing information systems to meet users’ requirements. The course focuses on tools and techniques that one can use in the design of IS systems. Issues such as physical data modeling, system implementation and testing are emphasized.

  
  • MIS 516 - Software Program and Project Management

    (3 credits)

    This course presents an overview of general project management techniques and their application to software project management. The course also addresses specific software planning issues such as effort estimation, contingency planning, risk management and the application of user acceptance software process maturity models.

    Prerequisite(s): MIS 514

  
  • MIS 524 - Enterprise Information Systems

    (3 credits)

    The strategic use of information technology (IT) in the enterprise. Topics include intra-organizational systems, interorganizational systems, the use of IT in a competitive environment, control of IT, IT resource planning and organizational issues for the management of information systems.

  
  • MIS 546 - Business Analysis and Modeling

    (3 credits)

    Focuses on developing and using spreadsheet-based models and data analysis tools for supporting managerial decision making. Topics include Monte Carlo stimulation, optimization, and spreadsheet application development within the context of business problem solving.

    Prerequisite(s): Student must meet prerequisite (QMM 510) or have completed a course in statistics.

  
  • MIS 563 - Networks

    (3 credits)

    Technology, design, management, and use of data, voice, image, and video communication networks. Topics include local area networks, wide area networks, telephone systems, electronic mail, transborder data flows and communications protocols. Includes exercises using various network configurations.

    Prerequisite(s): Student must meet prerequisite (MIS 305) or an equivalent course in information technology foundations.

  
  • MIS 564 - Network Management

    (3 credits)

    This course provides a general overview of communications network design. Relevant data communication hardware and software characteristics are examined. Students are introduced to network models, and design of local area networks and wide area network along with intranet and extranet. The impact of communications technology on organizations as well as trends in the telecommunications industry are explored.

    Prerequisite(s): Student must meet prerequisite (MIS 563) or have completed a course in computer networks.

  
  • MIS 604 - Database Management

    (3 credits)

    Technology, organization, use and administration of database management systems (DBMS). Includes exercises using microcomputer and mainframe DBMS packages.

    Prerequisite(s): Student must meet the prerequisite (MIS 524) or have completed a course in information systems.

  
  • MIS 606 - Advanced Database Management Systems

    (3 credits)

    This course addresses the problems encountered by organizations with distributed and networked databases. Topics include transaction management, concurrency control, deadlocks, replicated data management, query processing and reliability. Database performance and recovery are also covered.

    Prerequisite(s): Student must meet prerequisite (MIS 604) or have permission of the Graduate Business Programs Coordinator.

  
  • MIS 620 - Electronic Commerce

    (3 credits)

    This course provides students with an analytical and technical framework to understand the emerging world of e-commerce. Topics include the complexities of the marketplace, design and implementation of an Internet business, and issues surrounding privacy, security and the protection of intellectual property on the Internet.

    Prerequisite(s): Student must meet prerequisites (MIS 504 or MIS 524) or have completed a course in information systems.

  
  • MIS 622 - Business Object Development

    (3 credits)

    The primary focus of the course is on the principles and applications of object-oriented methods in information systems. Objectoriented concepts and software design and programming principles will be introduced. The purpose of the course is to train students to write reasonably complex business application programs using higher level languages such as Java.

    Prerequisite(s): Student must meet prerequisites (MIS 504 and MIS 524) or have completed a course in information systems.

  
  • MIS 624 - Business Application Architecture

    (3 credits)

    This course focuses on the issues related to server-side aspects of web-based applications. In particular, it introduces the different solution architectures utilized and their relative advantages and disadvantages. Students are introduced to several server-side technologies such as Java Servlets, Java Server Pages and Java Beans. This project-based course will allow students to get hands-on experience through designing and building reasonably complex server-side applications.

    Prerequisite(s): Student must meet prerequisite (MIS 622) or have permission of instructor.

  
  • MIS 625 - IT Planning and Strategy

    (3 credits)

    Using a variety of case studies, this course links the business strategy of a firm to its IT/IS strategy and assesses the impact of the strategy on performance and competitiveness. Issues such as project prioritization and risk management are also addressed.

    Prerequisite(s): Student must meet prerequisites (MIS 504 or MIS 524) or must have completed a course in information systems.

  
  • MIS 630 - Managing Global Outsourcing of IT and IT Enabled Services

    (3 credits)

    This course explores the drivers of the globalization of IT service delivery along with the managerial and technological issues related to managing the outsourcing of information technology and business process services.

    Prerequisite(s): Student must meet prerequisite (MIS 524) or must have completed a course in information systems.

  
  • MIS 636 - Decision Support Systems

    (3 credits)

    This course provides an introduction to data warehousing, data warehouse architecture, online analytical processing, data mining and related development tools. Business applications using OLAP and data mining tools are covered.

    Prerequisite(s): Student must meet prerequisites (MIS 524 or MIS 504) or have completed a course in information systems.

  
  • MIS 638 - Knowledge Management

    (3 credits)

    This course provides students exposure to the issues and challenges both users and systems developers face as they analyze and evaluate the potential support of knowledge to meet the qualitative decision-making processes, as well as support the operational heuristics within an organization.

    Prerequisite(s): Student must meet prerequisites (MIS 504 or MIS 524) or have completed a course in information systems.

  
  • MIS 640 - IS Security

    (3 credits)

    This course addresses issues pertaining to ensuring the security of organizational and personal information systems. Topics covered include: cryptography, analysis of threats, problems particular to networks, vulnerability and risk assessment, identification and authentication, certificates, credentials, organizational security policies, and the human factor. An emphasis is placed on practical problems and ethical dilemmas that face those concerned with information system security.

    Prerequisite(s): Student must meet prerequisites (MIS 504 or MIS 524) or have completed a course in information systems.

  
  • MIS 641 - IS Privacy

    (3 credits)

    This course addresses issues pertaining to privacy and intellectual property both from the standpoint of the organization and the individual. It focuses on issues that have become increasingly relevant with the spread of information technology. Topics include: regulatory and technological choices for privacy, the impact of the use of database technology on privacy, global differences in privacy laws, uses of marketing and privacy, intellectual property law and software, software contracts, the concept of intellectual property piracy, and historical change in patents, copyrights, and trademarks. The course also explores ethical dilemmas associated with both privacy and intellectual property.

    Prerequisite(s): Student must meet prerequisites (MIS 504 or MIS 524) or have completed a course in information systems.

  
  • MIS 642 - IS Issues in Supply Chain Management

    (3 credits)

    The role of information systems in advancing in advancing supply chain integration, management and coordination. Aspects related to logistics, operations, marketing, enterprise information resource planning, and electronic commerce solutions are included. Development and use of internet and extranet applications.

    Prerequisite(s): Student must meet prerequisites (MIS 504 or MIS 524) or have completed a course in information systems.

  
  • MIS 643 - Intellectual Property and the Public Domain in the Age of Remix

    (3 credits)

    IT developments have enabled inexpensive copying, production of cultural artifacts and software, distribution of these artifacts, and remixing. All of this has disrupted our notions of so called intellectual property. Topics include historical change in IP law, the importance of the public domain for cultural production, and alternatives to current IP regimes. Case discussion and a remix project are included.

  
  • MIS 645 - Simulation in Management

    (3 credits)

    This course introduces computer simulation modeling of business processes using a variety of software tools and techniques including discrete event, Monte-Carlo, and systems dynamics. Implications of models and sensitivity analysis for forecasting, planning and decision making in the management environment are explored.

    Prerequisite(s): Student must meet prerequisite (POM 521) or have completed a course in operations management.

  
  • MIS 648 - Issues in International Information Technology

    (3 credits)

    IT environments around the world, national infrastructures and regulatory regimes, global IT application development and management strategies, management support systems. The critical role of IT in the success of global finance, marketing, manufacturing, trade and accounting practices. Perspectives include ethical, cultural technological, political, social, legal, regulatory, and demographic.

    Prerequisite(s): Student must meet the prerequisite (MIS 504) or have completed a course in information systems.

  
  • MIS 650 - Project Seminar

    (3 credits)

    This course will explore a variety of topics related to IT Management in a seminar format. Each student will also complete an indepth analysis of an IT Management issue. Specific project topics will be chosen by the student and approved by the instructor.

    Prerequisite(s): Student must be in the final semester of the MSITM program or have permission of instructor.

  
  • MIS 680 - Special Topics in Management Information Systems

    (3 credits)

    An advanced course involving study of current research issues and recent developments in IT and IS management. Topics vary. See Schedule of Classes for current offering. Course may be repeated for a maximum of 6 credits. Same topic cannot be repeated.

    Prerequisite(s): Student must meet the prerequisites (MIS 504 or MIS 524).

  
  • MIS 690 - Independent Study in Management Information Systems



    Independent individual research on a topic chosen by the student.

    Prerequisite(s): A written contract must be prepared and approved by Department Chair and Office of Graduate Business Programs before registration is permitted. Student must have prior approval of instructor.


Marketing

  
  • MKT 560 - Marketing Management



    Comprehensive study of the foundations of marketing and the management of the marketing function including the role of marketing in society and within the business enterprise; the use of marketing to gain competitive advantage, and the practice of marketing in a rapidly changing business environment.

  
  • MKT 604 - Consumer Behavior

    (3 credits)

    Study of basic factors in influencing consumer behavior, with emphasis on structuring and managerial use of consumer decisionmaking models. Social-psychological and economic variables, including learning, motivation, attitude, personality, small groups, demographic and cultural factors are examined.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing.

  
  • MKT 605 - Marketing Research

    (3 credits)

    Focus on the generation and management of information in marketing decisions. Covers the evaluation of additional marketing information; how it is acquired and used; the manager’s role in market research; the researcher’s role in supplying marketing information.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing.

  
  • MKT 608 - Strategic Marketing

    (3 credits)

    This course examines issues such as market definition based on customer-oriented approaches, developing a competitive advantage and making an organization market-driven. In addition, the tools and techniques covered are recent, and likely to be useful in developing core competencies in strategic analysis not typically covered elsewhere.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing management.

  
  • MKT 620 - Distribution Channels Management and Logistics

    (3 credits)

    The management of the distribution function. Study of the management of marketing channels systems comprising of wholesalers, agents, retailers and other agencies. Logistics management and supply chain management in the fulfillment of marketing objectives.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing management.

  
  • MKT 625 - Supply Chain Logistics

    (3 credits)

    This course focuses on the role of logistics in adding value to the supply chain and in creating supply chain excellence. Topics covered will include the theory, the principles, and the practice of logistics and supply chain management, demand management, customer service, supply management, inventory flows, facilities and warehousing, transportation, third-party and fourth-party logistics, logistics information systems, logistics technology and infrastructure, connectivity, supply chain transparency, reverse logistics, and performance measurement in logistics and supply chain management.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing management.

  
  • MKT 650 - International Marketing

    (3 credits)

    The application of marketing principles to problems associated with marketing products and services to different nations. Cases in international marketing will be analyzed.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing.

  
  • MKT 670 - Business to Business Marketing

    (3 credits)

    Study of the area of marketing that addresses the needs of the organizational customer in industry, government and institutions. The special challenges of the industrial market, such as assessing marketing opportunities, the organizational buying process, and formulating and evaluating industrial marketing strategy and performance are discussed.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing.

  
  • MKT 675 - Customer and Supplier Relationships in the Global Enterprise

    (3 credits)

    No organization is an island. In today’s highly competitive markets it is essential than an organization relate to its customers and suppliers in a manner that maximizes the potential benefits to all members of the Global Enterprise, from its customers through the organization to its 2nd and 3rd tier suppliers. This course focuses on determining what those relationships should be and how they can be implemented in business-to-business environments. Emphasis is placed on customer and supplier relationships in manufacturing industries, particularly the automotive industry.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or have completed a course in marketing.

  
  • MKT 680 - Special Topics in Marketing

    (3 credits)

    Applications of recent theoretical and empirical findings in marketing. Students may work on a project, in cooperation with local firms, where they apply the tools acquired in marketing and related courses to a current managerial problem. Topics vary. Recent topics included industrial marketing, promotional strategies and international marketing. See Schedule of Classes for current offering. Course may be repeated for a maximum of 6 credits. Same topic cannot be repeated.

    Prerequisite(s): Student must meet the prerequisite (MKT 560) or its equivalent.

  
  • MKT 690 - Independent Study in Marketing



    Independent individual research on a topic chosen by the student. A written contract must be prepared and approved by Department Chair and Office of Graduate Business Programs before registration is permitted.

    Prerequisite(s): Student must have prior approval of instructor.


Mathematics

  
  • MTH 505 - Special Topics

    (2 or 4 credits)

    Study of some topics in mathematics. May be taken more than once.

    Prerequisite(s): Student must have permission of the graduate coordinator.

  
  • MTH 551 - Real Analysis

    (4 credits)

    Lebesgue measure, measurable functions and the Lebesgue integral; convergence theorems; monotone functions, bounded variation and absolute continuity. The Lp spaces; product measures and Fubini’s theorem; the Radon-Nikodym theorem.

    Prerequisite(s): Required background: a course in advanced calculus.

  
  • MTH 555 - Complex Analysis

    (4 credits)

    Analytic functions and the Cauchy-Riemann equations. Cauchy Integral Theorem, Cauchy integral formula, argument principle, Rouche’s theorem. Taylor and Laurent series. Singularities and residues. Conformal mapping.

    Prerequisite(s): Required background: a course in advanced calculus.

    Recommended prerequisite(s): A course in complex variables is recommended.

  
  • MTH 561 - Topology I

    (4 credits)

    Introduction to algebraic topology. Topics include elementary homotopy and homology theory.

    Prerequisite(s): Required background: an introductory course in general topology.

  
  • MTH 562 - Advanced Topics in Topology

    (4 credits)

    Topics in modern topology, chosen from uniform spaces, topological dimension theory, homology and co-homology theory, homotopy theory.

    Prerequisite(s): Student must meet prerequisite (MTH 561).

  
  • MTH 571 - Algebra I

    (4 credits)

    Groups, Sylow theorems, solvable and simple groups, free groups, generators and relations of groups, finitely generated abelian groups, semi-direct products, extension of groups, rings, polynomial and power series rings, maximal and prime ideals of commutative rings, Euclidean domains, principal ideal domains, and unique factorization domain. Required background: a course in abstract algebra.

  
  • MTH 572 - Algebra II

    (4 credits)

    Injective modules, projective modules, tensor products, modules over PID, decomposition theorems, linear algebra, field extensions, finite fields, geometric constructions, Galois theory, solvability by radicals, computing Galois groups of polynomials.

  
  • MTH 590 - Directed Reading and Research

    (4 credits)

    Reading and independent research activities under faculty supervision.

    Prerequisite(s): Student must have permission of the graduate coordinator.

  
  • MTH 651 - Functional Analysis

    (4 credits)

    Metric spaces, category, compactness. Banach, Hilbert and Sobolev spaces. The Hahn-Banach theorem, open mapping theorem and Banach-Steinhaus theorem. Weak and weak* topologies. Elementary operator and spectral theory.

    Prerequisite(s): Student must meet prerequisite (MTH 551).

  
  • MTH 652 - Functional Analysis II

    (4 credits)

    Distributions, Sobolev spaces, fixed point theorems, nonlinear operators, monotone and pseudomonotone operators.

    Prerequisite(s): Student must meet prerequisite (MTH 651).

  
  • MTH 670 - Algebraic Number Theory

    (4 credits)

    Algebraic number fields, integrality and Noetherian properties, Dedekind domains, extensions, ramified and non-ramified extensions, ramification in Galois extensions, class groups and units, cyclotomic fields, L-functions, Dedekind zeta-function, Brauer relations.

    Prerequisite(s): Student must meet prerequisite (MTH 571).

  
  • MTH 671 - Commutative Algebra

    (4 credits)

    Rings and ideals, modules, exact sequences, tensor products, integral dependence and valuations, the going-up and going-down theorem, chain conditions, Noetherian rings, discrete valuation rings, Dedekind domains.

    Prerequisite(s): Student must meet prerequisite (MTH 571).

  
  • MTH 672 - Algebraic Geometry

    (4 credits)

    Introduction to affine and projective spaces, algebraic varieties, maps between varieties, Hilbert’s Nullstellensatz, Zariski topology, abelian varieties, the Riemann-Roch theorem, Jacobians of curves, sheaves and cohomology.

    Prerequisite(s): Student must meet prerequisite (MTH 671).


Mathematics Education - Secondary

  
  • MTS 505 - Special Topics

    (2 or 4 credits)

    Study of some topics in mathematics. May be taken more than once.

    Prerequisite(s): Student must have permission of instructor.

  
  • MTS 510 - The Secondary Mathematics Curriculum

    (4 credits)

    A seminar that examines problems of the secondary mathematics curriculum. Topics will be determined by the instructor and the students. Emphasis is on the role and responsibility of the secondary teacher in developing curriculum.

    Prerequisite(s): Student must have permission of instructor.

  
  • MTS 514 - Concepts in Abstract Algebra

    (4 credits)

    Includes topics from groups, rings, fields, matrices, linear transformations and vector spaces.

    Prerequisite(s): Required background: a course in linear algebra.

  
  • MTS 515 - Foundations of Mathematics

    (4 credits)

    Examination of the logical foundations of mathematics including analysis of the axiomatic method, basic set theory, cardinal and ordinal numbers, and the axiom of choice. MTS 515 is cross listed with MTH 415. Student cannot receive credit for both courses.

    Prerequisite(s): Required background: a course in abstract algebra or advanced calculus.

  
  • MTS 516 - History of Mathematics

    (4 credits)

    Mathematics from ancient to modern times: its growth, development and place in culture. MTS 516 is cross listed with MTH 414. Student cannot receive credit for both courses.

    Prerequisite(s): Required background: a course in abstract algebra or advanced calculus.

  
  • MTS 517 - Concepts in Analysis I

    (4 credits)

    Includes a study of real and complex numbers, functions, limits, differentiation, integration and infinite series, with emphasis on careful proofs of theorems.

    Prerequisite(s): Required background includes courses in multivariable calculus and linear algebra.

  
  • MTS 518 - Concepts in Analysis II

    (4 credits)

    Improper integrals, derivatives and integrals in n-dimensional Euclidean space, implicit and inverse function theorems, differential geometry and vector calculus, Fourier series.

    Prerequisite(s): Student must meet prerequisite (MTS 517).

  
  • MTS 562 - Concepts of Geometry

    (4 credits)

    Development of elementary Euclidean geometry from an advanced standpoint; introduction to and basic properties of non-Euclidean geometry. MTS 562 is cross listed with MTH 462. Student cannot receive credit for both courses.

    Prerequisite(s): Required background: a course in linear algebra.

  
  • MTS 572 - Number Theory

    (4 credits)

    Number-theoretic functions, diophantine equations, congruences and quadratic residues, including some experimental work aided by the computer. MTS 572 is cross listed with MTH 372. Student cannot receive credit for both courses.

    Prerequisite(s): Required background: a course in linear algebra or a course in discrete mathematics.

  
  • MTS 590 - Directed Reading and Research

    (2 to 8 credits)

    Reading and independent research activities under faculty supervision.

    Prerequisite(s): Student must have permission of graduate coordinator.


Mathematics in Operations Research

  
  • MOR 554 - Linear and Integer Optimization

    (4 credits)

    Topics include linear and integer programming models, simplex method, complementary slackness, duality, sensitivity analysis, interior point methods, systems of alternatives and branch-price-cut. This course is cross listed with MOR 454.

    Prerequisite(s): Required background includes courses in multivariable calculus and linear algebra.

  
  • MOR 555 - Nonlinear Optimization

    (4 credits)

    Topics include nonlinear programming, convex programming, unconstrained optimization, first and second order conditions, Constrained optimization, KKT conditions, quadratic programming and separable convex programming.

    Prerequisite(s): Student must meet prerequisite (MOR 554).

  
  • MOR 556 - Stochastic Models in Operations Research

    (4 credits)

    Topics include probability theory, Poisson processes, queuing theory, birth and death processes and Markov chains.

    Prerequisite(s): Required background includes courses in multivariable calculus and linear algebra.

 

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