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MGT 532 - Marketing Strategy.
MGT 531 and graduate standing. (3).
Traditional concepts such as market segmentation and product life cycle; new concepts such as product positioning, market structure analysis, portfolio management, and consumer measurement. Theory and models applicable to product development; emphasis on consumer measurement techniques and new product planning. Focus on strategic issues of the marketing planning process and its integration with the new product development process.
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MGT 533 - Advanced Consumer Behavior.
MGT 531 and graduate standing. (3).
Focus on transition from an economics-driven, rational understanding of behavior towards a more psychosocial understanding, including the role of affect (feelings) and how they modify consumer rationales, with input from various disciplines including economics, psychology, sociology and neuroscience. Managerial application in product-related industries with the objective of understanding how consumers choose and use products and modifying marketing plans to better suit decision processes.
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MGT 534 - Integrated Marketing Communications.
MGT 531 and graduate standing. (3).
Integrated marketing communication (IMC) as a customer-centric data-driven approach to communicating with customers. Organized communication, including advertising, direct marketing, public relations, sales promotion, brand management and interactive services, for building successful long-term relationships with customers. How firms develop integrated cross-media strategies to reach a target audience and deliver the brand promise.
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MGT 535 - Brand Strategy.
MGT 531 and graduate standing. (3).
Integrative, dynamic view of competitive brand strategy applicable to manufacturers, service organizations and resellers. Why brands are important, what they represent to consumers, and what organizations should do to manage their brands over time; how to create brand equity and how to use it to expand global business opportunities. Strategies for pioneering brands, for late entry, for growth, for mature and declining markets, and for defensive marketing.
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MGT 536 - International and Global Marketing Management.
MGT 531 or equivalent and graduate standing. (3).
International marketing and its role in multinational firms. Appraising international marketing opportunity; product, price, promotion and distribution policies; analysis of the foreign marketing environment. Not open to students with credit for BUS 432 .
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MGT 537 - Technology Mediated Marketing Applications..
MGT 531 and graduate standing. (3).
The marketplace as it has changed over the past decade, as brick and mortar commerce has given way to e-commerce, m (mobile)-commerce, and u (ubiquitous)-commerce. New technologies and applications used to target customers and influence them (e.g., social media such as YouTube, Second Life and virtual communities). Includes training on types of online consumer behavior, online marketing tools, wireless media, and location-aware advertising.
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MGT 541 - Organizational Behavior.
Graduate standing. (3).
Research-and theory-based examination of human behavior in organizations, with emphasis on management of human resources. Contributions of historical and organizational theorists; contemporary trends in organizations. Examination of individual elements of motivation, personality, perception and diversity (including global/international differences), and group issues of power, conflict, group dynamics, and team building. Personal and organizational ethics; leadership and decision making; use of organizational human resource policies and their affect on human behavior.
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MGT 542 - Strategic Human Resource Management.
MGT 541 and graduate standing. (3).
Effective use of human resources within an organization; behavioral forces which affect decision making and leadership behavior. Personnel policies and procedures, employment training, merit rating, wage administration, labor relations, cross-cultural differences in people and organizations, and international personnel problems.
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MGT 545 - Innovation Management/Entrepreneurship.
Graduate standing. (3).
Qualities and requirements of both entrepreneurship and intrapreneurship; management of entrepreneurial efforts and innovations. Case studies, discussions and lecture. Students develop own plans for a new endeavor.
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MGT 549 - Contemporary Issues in Leadership.
Graduate standing. (3).
Applied research and discussion of recent developments and trends that affect organizational behavior and human resource management; exploration of how to affect organization-wide change. Not open to students with credit for BUS 449 .
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MGT 551 - Business Economics.
Graduate standing. (3).
Analysis of the economic environment; major forces and government policies affecting business conditions. Macro and micro economic theory analyzed and applied to efficient operation. Measuring business conditions, monetary and fiscal policy, inflation, interest rates, employment, and demand analysis for the firm and industry, short and long-run production and costs, market structures, determination of prices, and non-price aspects of competition.
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MGT 552 - Business and Society.
Graduate standing. (3).
Focus on the external (social, political, legal) environment within which organizations operate, from a managerial perspective. Ethical and corporate social responsibility; public issues management within the corporation, including environmental scanning, public policy analysis, and political action.
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MGT 561 - Financial Management.
MGT 521 , MGT 551 and graduate standing. (3).
Introduction to tools of financial management in a large modern corporation. Core topics include valuation, risk-return relationships, capital budgeting, capital structure, long-term financing, dividend policy and international finance. Overall emphasis on understanding analytical models for financial decision making.
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MGT 562 - Advanced Corporate Finance: Application and Financial Strategy.
MGT 561 or equivalent and graduate standing. (3).
Study of major decision-making areas of managerial finance and topics in financial theory. Theory and empirical evidence related to the investment and financing policies of the firm; development of decision-making abilities. Emphasis on case study; applications to specific areas. Offered infrequently.
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MGT 564 - Investments Analysis and Portfolio Management.
MGT 561 or equivalent and graduate standing. (3).
Concepts of portfolio analysis in the general area of institutional investment management. Principles for managing financial assets such as corporate pension funds, bank-administered trust and other institutional funds, including many of the latest quantitative approaches. Students learn how to establish appropriate investment objectives, develop optimal portfolio strategies, estimate risk-return tradeoffs, and evaluate investment performance.
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MGT 565 - Financial Engineering and Risk Management.
MGT 561 or equivalent and graduate standing. (3).
Skills necessary to value and employ options, futures, and related financial contracts as risk management strategies. Valuation of futures contracts on stock indices, commodities and treasury instruments; valuation of options; empirical evidence; strategies with respect to these assets; dynamic asset allocation strategies including portfolio insurance; swaps; the use (and misuse) of derivatives in context of corporate applications. Not open to students with credit for BUS 463 .
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MGT 566 - International and Global Financial Management.
MGT 561 or equivalent and graduate standing. (3).
Analysis of financial problems faced by corporations operating in an international environment. Corporate strategy and the decision to invest abroad; forecasting exchange rates; international portfolio diversification; managing currency risk; taxation issues; cost of capital and financial structure in the multinational firm; sources of funding. Not open to students with credit for BUS 466 .
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MGT 567 - Financial Statement Analysis.
ACC 530 or MGT 561 or BUS 321 , and graduate standing. (3).
Focus on uses and interpretation of public financial statements and economic data from the markets. Quantitative methods to analyze, forecast, and examine market reactions to data. Emphasis on real world cases, research, and communication of results. Not open to students with credit for BUS 467 . Also listed as ACC 567 .
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MGT 568 - Financial Markets and Institutions.
MGT 561 or equivalent and graduate standing. (3).
Provides a framework for understanding our financial environment, including markets, institutions, and securities. Each type of market and how financial institutions use it, its internationalization, and recent events that have affected it. Not open to students with credit for BUS 468 .
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MGT 571 - Operations Management.
MGT 512 and graduate standing. (3).
Introduction to operations management; issues relevant to effective integration of human and technical elements of productive systems. Decision making framework for assessing and evaluating a wide range of operating alternatives relative to design, scheduling and control in both manufacturing and service organizations. Key characteristics, management tasks, and means of organization and control in different types of operating systems.
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MGT 573 - Topics in Quality Management.
MGT 571 or equivalent and graduate standing. (3).
Total quality management concepts, management issues related to quality improvement, Baldrige Award criteria, TQM implementation issues and strategies, and international standards. Statistical tools for quality improvement such as statistical process control, problem-solving methods, quality engineering (Taguchi methods), re-engineering and quality function deployment also will be discussed with emphasis on applications. Not open to students with credit for BUS 473 .
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MGT 580 - Special Topics in International Business Study Abroad.
Graduate standing. (3).
Study abroad course open to UM-Flint MBA students. The location and topics for the course will be determined by faculty and student interests.
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MGT 581 - Management Information Systems.
Graduate standing. (3).
Concepts, techniques and equipment required for information systems supporting management decisions. Information requirements for decisions. Systems for collecting, processing, storing, retrieving and distributing information. Critical decisions in the design of a management information system.
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MGT 585 - Global Dimensions of Management.
Graduate standing. (3).
Understanding the relationship between business strategy and structure in global context; and how managerial actions impact global strategy. Students develop skills and competencies related to information gathering, strategic analysis and interpretation, judgment, and forecasting in a global context.
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MGT 586 - International Business Law.
Graduate standing. (3).
Basic overview of major legal areas affecting business in a global setting; sources of law as a foundation for understanding U.S. and international law. National, regional and global controls on business, voluntary or mandatory; the problematic enforcement of international laws and decisions. Attention to human rights law affecting business decision-making; corporate responsibility and ethics, such as child labor, outsourcing, farm subsidies, and NAFTA; problems with no associated international treaty; negotiating a solution; drafting or redrafting a treaty.
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MGT 588 - Global Strategy.
MGT 585 or equivalent and graduate standing. (3).
Focus on challenges confronting multinational firms that compete in the global marketplace, for enhanced understanding of what determines their success and failure. A range of issues pertinent to firms operating on the global stage, including growing and internationalizing the entrepreneurial firm; developing foreign entry and growth strategies; leveraging resources and capabilities internationally; managing global competitive dynamics; diversifying, acquiring, and restructuring in foreign markets; and strategizing in multiple countries with corporate social responsibility. Emphasis on business implications for global strategists.
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MGT 589 - Strategic Management.
All core MBA courses and graduate standing. (3).
Examination of macro organization issues (stages, technology, structure, culture, environment) that influence and demonstrate the organization’s strategic choices. Development of a framework for strategy formulation and implementation, including identification of alternatives; study of the total organization as viewed by top management; analysis, synthesis and presentation of policies and action plans.
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MGT 591 - Applied Research Project.
Selection and agreement of advisor and graduate standing. (3).
Independent work with guidance by a faculty advisor of choice on an applied research project demonstrating command of material, ability to relate material to a real problem, and including analysis and conclusions. In-depth study of a management problem; the student is encouraged to choose a job-related topic whose solution will benefit student’s employer and career. May be reelected for credit. Graded ABCDE/Y.
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MGT 595 - Business Internship Experience.
Graduate standing. (1-3).
Business internship job assignment, planned by student, supervisor, and Coordinator, Student Services, with duties relating to student’s academic program. Cannot be completed at current place of employment. A maximum of three credits in MGT 591 and MGT 595, together, may be applied to MBA degree requirements. Graded Satisfactory/Unsatisfactory/Y.
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MGT 599 - Special Topics in Management.
Graduate standing. (3).
Specific topics to be announced in advanced of registration. Offered at irregular intervals.
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MTH 090 - Intermediate Algebra.
Qualifying score on departmental placement test. (3).
Review of basic algebra, inequalities, polynomials, rational expressions, radicals and rational exponents. Not open to students who have completed MTH 111 with a grade of C (2.0) or better. Credit for MTH 090 applies to determination of grade point average and full-time or part-time status, but does not count toward a degree.
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MTH 111 - College Algebra.
MTH 090 with a grade of C (2.0) or better, or equivalent as determined by departmental placement test. (3).
Review of basic algebraic concepts, equalities and inequalities, lines, equations and graphs, functions, linear systems. Not open to students who have completed MTH 118 or higher with a grade of C (2.0) or better.
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MTH 112 - Liberal Arts Mathematics.
MTH 090 with a grade of C (2.0) or better, or equivalent as determined by departmental placement test. (3) FQ.
Exploration and problem-solving in topics chosen to develop a broad understanding of the nature of mathematics.
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MTH 118 - Calculus for Management and Social Sciences.
MTH 111 with a grade of C (2.0) or better, or equivalent as determined by departmental placement test. (4) FQ.
Polynomial, exponential and logarithmic functions and their graphs; the derivative and applications; the integral and applications; functions of several variables and partial derivatives. Not open to students with credit for MTH 121 or MTH 122 .
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MTH 120 - Pre-Calculus Mathematics.
MTH 111 with a grade of C (2.0) or better, or equivalent as determined by departmental placement test. (4) FQ.
Trigonometric, exponential and logarithmic functions, their properties, graphs, and fundamental identities; conic sections. Not open to students who have completed MTH 121 or higher with a grade of C (2.0) or higher.
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MTH 122 - Calculus II.
MTH 121 with a grade of C (2.0) or better. (4).
Integration and its applications; infinite series.
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MTH 192 - Selected Topics.
See course schedule for prerequisites. (1-4).
Topics of interest in mathematics, to be announced in the course schedule. Various offerings treat different topics. May be reelected when topics vary.
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MTH 193 - Mathematics Honors Seminar.
Open by invitation. (1).
Introduction to advanced mathematics. May include the nature of the real line, limits and continuous functions, applications of calculus to mathematical modeling in biology and physics, and introductions to other branches of mathematics such as number theory and topology.
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MTH 200 - Mathematical Proofs and Structures.
MTH 122 with a grade of C (2.0) or better. (3).
Introduction to propositional and predicate logic; reading and writing of mathematical proofs; naïve set theory; number systems. Designed for students considering a concentration in mathematics or intending to take MTH 328 , MTH 329 , MTH 333 , MTH 354 , MTH 422 , MTH 423 or MTH 456 .
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MTH 220 - Elementary Linear Algebra.
MTH 122 with a grade of C (2.0) or better. (3).
Systems of linear equations, matrices, Euclidean spaces, eigenvectors, applications.
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MTH 222 - Multivariate Calculus.
MTH 122 with a grade of C (2.0) or better; MTH 220 recommended. (4).
Differential and integral calculus of several variables, including partial derivatives, multiple integrals, and line integrals.
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MTH 230 - Introduction to Discrete Structures.
MTH 118 or MTH 121 , with a grade of C (2.0) or better. (3).
Sets, integers and modular arithmetic, propositional logic, induction, recurrence relations, permutations and combinations, relations and equivalence relations, functions and order of growth, trees and graphs. Also listed as CIS 230 and CSC 230 .
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MTH 272 - Introduction to Statistics.
MTH 122 with a grade of C (2.0) or better or concurrent election of MTH 122 . (3).
Descriptive statistics, rules of probability, discrete and normal distributions, measures of location and spread, confidence intervals, hypothesis testing, correlation and regression, analysis of variance. Use and misuses of statistics to draw conclusions; utilization of graphing calculators and computer software for statistical computation. Not offered every semester; see http://www.umflint.edu/math.
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MTH 305 - Differential Equations.
MTH 222 with a grade of C (2.0) or better, or concurrent election of MTH 222 . (3).
Solution of first order equations, linear equations with constant coefficients; certain higher order differential equations, Laplace transform methods, applications. Usually offered in the Fall.
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MTH 328 - Modern Algebra.
MTH 200 , MTH 220 , each with a grade of C (2.0) or better. (3).
Integer and polynomial rings and their quotients; field extensions and the impossibility of geometric constructions. Additional topics may include groups, rings, finite fields, or the unsolvability of quintics. Not offered every semester; see www.umflint.edu/math.
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MTH 329 - Linear Algebra.
MTH 200 , MTH 220 , each with a grade of C (2.0) or better. (3).
Linear transformations of vector spaces; canonical forms of matrices. Not offered every semester; see www.umflint.edu/math.
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MTH 331 - Conics and Cubics.
MTH 200 , MTH 220 , each with a grade of C (2.0) or better. (3).
Introduction to algebraic curves of low degree. Intersections of curves; Bezout’s Theorem; theorems of Pascal and Brianchon; classification of cubics, addition on cubics. Not offered every semester; see www.umflint.edu/math.
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MTH 333 - College Geometry.
MTH 122 with a grade of C (2.0) or better; MTH 200 with a grade of C (2.0) or better or concurrent election of MTH 200 . (3).
Selected topics in Euclidean, projective, and other geometries. Not offered every semester; see www.umflint.edu/math.
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MTH 354 - Number Theory.
MTH 200 with a grade of C (2.0) or better, or consent of instructor. (3).
Divisibility, congruences, number theoretic functions. Diophantine equations, distribution of primes, rational approximation. Not offered every semester; see www.umflint.edu/math.
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MTH 357 - Advanced Calculus.
MTH 222 with a grade of C (2.0) or better; MTH 305 with a grade of C (2.0) or better or concurrent election of MTH 305 . (3).
Intended for science concentrators. Fourier series, differential and integral vector calculus. Additional topics chosen from orthogonal functions and partial differential equations. Not offered every semester; see www.umflint.edu/math.
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MTH 362 - Combinatorics with Applications.
MTH 200 , MTH 220 , each with a grade of C (2.0) or better, or concurrent election. (3).
Combinatorics including permutations, combinations, and inclusion/exclusion. Recurrence relations and finite differences. Graph theory including paths, trees, and optimization algorithms. Introduction to linear programming. Not offered every semester; see www.umflint.edu/math. Not open to students with credit for MTH 230 /CIS 230 /CSC 230 .
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MTH 370 - Probability with Statistical Applications.
MTH 220 with a grade of C (2.0) or better. (3).
Probabilities of events; independence and conditional probabilities; discrete and continuous random variables; expectation, variance and standard deviation; special distributions; joint distributions; applications to statistics. Not offered every semester; see www.umflint.edu/math. Not open to students who have completed MTH 372 with a grade of C (2.0) or better.
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MTH 372 - Probability.
MTH 222 with a grade of C (2.0) or better. (3).
Random experiments, sample spaces, probabilities of events; independence and conditional probability; discrete and continuous random variables, distribution and density functions; expectation, variance, and standard deviation; special distributions and moment generating functions; analysis of joint distributions. Not offered every semester; see www.umflint.edu/math.
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MTH 374 - Introduction to Numerical Analysis.
MTH 220 with a grade of C (2.0) or better; knowledge of a programming language. (3).
Numerical methods for solving algebraic equations in one or more variables, integration, interpolation, curve-fitting, and solving differential equations. Emphasis on theoretical aspects, including error analysis. Applications and problems for computer solutions. Not offered every semester; see www.umflint.edu/math.
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MTH 375 - Mathematical Statistics.
MTH 372 with a grade of C (2.0) or better; or MTH 222 , MTH 370 , each with a grade of C (2.0) or better. (3).
Limiting distributions, stochastic convergence, central limit theorem, point and interval estimation of parameters, hypothesis testing, nonparametric tests, sufficiency, completeness, linear regression, analysis of variance. Not offered every semester; see www.umflint.edu/math.
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MTH 377 - Methods of Operations Research.
MTH 220 with a grade of C (2.0) or better; or consent of instructor. (3).
Topics in mathematical modeling, including detailed study of linear programming and simplex methods. Additional topics chosen among dynamic programming, game theory, queuing theory, integer programming, and project scheduling. Not offered every semester; see www.umflint.edu/math.
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MTH 378 - Theory of Interest.
MTH 122 with a grade of C (2.0) or better or concurrent election of MTH 122 ; or MTH 118 with a grade of B (3.0) or better. (3).
Theory and applications of interest, including measurement of interest; annuities certain; amortization schedules and sinking funds; bonds and related securities. Intended for students interested in actuarial science, finance, or applications of mathematics to business. Not offered every semester; see www.umflint.edu/math.
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MTH 380 - Financial Derivatives.
MTH 122 with grade of C (2.0) or better, or concurrent election of MTH 122 ; or MTH 118 with a grade of B (3.0) or better. MTH 378 recommended. (3).
Analysis of financial derivatives including options, forwards, futures and swaps; no-arbitrage pricing and put-call parity. Introduction to binomial and Black-Scholes option pricing. Emphasis on preparation for actuarial exam FM. Intended for students interested in actuarial science, finance, or applications of mathematics.
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MTH 385 - History of Mathematics.
MTH 200 with a grade of C (2.0) or better. (3).
Mathematical ideas with emphasis on the development of at least one of the areas of algebra, geometry, or calculus. Not offered every semester; see www.umflint.edu/math.
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MTH 390 - Problem-Solving Seminar.
Consent of instructor. (1).
Emphasis on techniques such as exploring examples, special cases, extreme cases, and working backward from known answers. Students encouraged to submit solutions to the problem sections of mathematics journals and to enter mathematics competitions. May be reelected to a total of 4 credits.
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MTH 391 - Directed Study.
Consent of instructor. (To be arranged).
Independent study under supervision of the instructor. May be reelected for credit.
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MTH 392 - Selected Topics.
See course schedule for prerequisites. (1-3).
Topics of interest in mathematics, to be announced in the course schedule. Various offerings treat different topics. Not offered every semester; see www.umflint.edu/math. May be reelected when topics vary.
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MTH 393 - Actuarial Exam Preparation Seminar.
MTH 372 with a grade of C (2.0) or better. (1).
Review of calculus and probability required for Course 1 (exam) of the Society of Actuaries/Casualty Actuarial Society. Students solve problems from past exams. Not offered every semester; see www.umflint.edu/math.
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MTH 394 - Honors Independent Study.
Consent of Honors Advisor. Open only to Honors Program students in mathematics. (3).
Independent study in preparation for the senior honors thesis. Graded ABCDE/Y.
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MTH 395 - Mathematics Instructional Practicum.
Consent of TCP advisor. (1-2).
Teaching experience in mathematics under the supervision of a Mathematics faculty member. Based on interests and experience, students engage in tutoring, grading homework, aiding with cooperative learning in the classroom, serving as a supplemental instructor, and/or teaching lessons. Three hours of work per week, or 42 hours per semester, required for each credit hour. May be reelected to a total of 3 credits. Graded Pass/Fail.
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MTH 400 - Senior Seminar in Mathematics.
Concentration in mathematics; senior standing; grades of C (2.0) or better in four mathematics courses numbered 300 or higher; consent of instructor. (1).
Students individually prepare a written paper and an hour seminar talk on a mathematics topic. Students take the MFAT exam. Intended for election in the last year prior to graduation. Usually offered in the Fall and Winter.
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MTH 401 - Mathematics TCP Capstone Course.
Concentration in mathematics; senior standing; grades of C (2.0) or better in four MTH courses numbered 300 or higher; concurrent election of EDS 341 ; consent of instructor. (3) CAP.
Students revisit and synthesize key ideas in middle and high school mathematics through the skills and understandings gained from their major course work in mathematics. Students prepare a written paper and seminar talk related to content covered in the course, and take the MFAT exam. Intended for election in the last semester prior to Winter student teaching. Usually offered in the Fall.
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MTH 402 - Mathematics Capstone Course.
Concentration in mathematics; senior standing; grades of C (2.0) or better in four MTH courses numbered 300 of higher; consent of instructor. (3) CAP.
Theme chosen annually to complement and further the scope of standard major coursework. Students prepare a paper and a seminar talk on individually chosen themes relating to the year’s theme, and take the MFAT exam. Intended for election in the last year prior to graduation. Usually offered in the Winter.
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MTH 422 - Foundations of Mathematics.
MTH 200 , MTH 220 , each with a grade of C (2.0) or better. (3).
Source and evolution of mathematical ideas and methods, relation to logic. Axiomatic method, cardinal and ordinal numbers. Not offered every semester; see www.umflint.edu/math.
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MTH 423 - Elementary Topology of the Linear Continuum.
MTH 200 with a grade of C (2.0) or better; consent of instructor. (3).
Axiomatic development of the topological properties of the linear continuum without consideration of an algebraic structure. Neighborhoods, open sets, limit points, Bolzano-Weierstrass property, Heine-Borel property, category, Cantor-Bendixson theorem. Proofs presented by the students. Not offered every semester; see www.umflint.edu/math.
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MTH 456 - Real Analysis.
MTH 200 , MTH 220 , each with a grade of C (2.0) or better. (4).
Topology of Euclidean spaces, concepts of limit, continuity, differentiability and integrability of real and vector functions. Additional topics chosen among infinite series, inverse and implicit function theorems, Stieltjes integrals, line and surface integrals. Not offered every semester; see www.umflint.edu/math.
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MTH 470 - Theory of Functions of a Complex Variable.
MTH 222 with a grade of C (2.0) or better. (3).
Complex numbers, the Cauchy-Riemann equations, analytic functions, power series, integration, the Cauchy theorems, meromorphic functions, Laurent series, the maximum principle, residues. Not offered every semester; see www.umflint.edu/math.
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MTH 494 - Honors Thesis I.
MTH 394 and consent of Honors Advisor. Open only to Honors Program students in mathematics. (4).
Credit and grade for MTH 494 is not given until successful completion of MTH 495 . Graded ABCDE/Y.
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MTH 495 - Honors Thesis II.
Prior or concurrent election of MTH 494 or HON 495 ; consent of Honors Advisor. Open only to Honors Program students in mathematics. (4).
Graded ABCDE/Y.
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MTH 501 - Mathematical Modeling.
Admission to Mathematics MA Program. (3).
Basic modeling methods to help develop student skills in the use of mathematics as a tool for understanding the real world. Discrete, continuous, deterministic and stochastic models; examples selected from engineering, management, and from behavioral, physical and biological sciences.
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MTH 502 - Paths and Surfaces.
Admission to Mathematics MA Program. (3).
Introduction to algebraic topology. Study of low dimension using algebraic and analytic tools. Topics may include fundamental groups, classification of surfaces, knot theory, the Jordan curve theorem, vector fields, differential forms and line integrals.
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MTH 503 - Axiomatic Mathematics.
Admission to Mathematics MA Program. (3).
Emphasis on mathematics as a deductive science. Axiom systems for algebra, geometry and topology; set-theoretic foundations of mathematics. An introduction to philosophies of mathematical truth.
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MTH 504 - Recent developments in mathematics.
Admission to Mathematics MA Program. (3).
Study of themes in mathematics centered on major problems which are unsolved or only recently solved. Emphasis on the vitality and scope of mathematics in the 20th and 21st centuries. Topics may include higher-dimensional geometry, infinite sets, chaos theory, limits of computability, prime numbers, knots and the theory of randomness.
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MTH 505 - Differential Equations.
Admission to Mathematics MA Program. (3).
Solution of first order equations, linear equations with constant coefficients; certain higher order differential equations, Laplace transform methods, applications. Not open to students with credit for MTH 305 .
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MTH 522 - Foundations of Mathematics.
Admission to Mathematics MA Program. (3).
Source and evolution of mathematical ideas and methods, relation to logic, Axiomatic method, cardinal and ordinal numbers. Not open to students with credit for MTH 422 .
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MTH 523 - Elementary Topology of the Linear Continuum.
Admission to Mathematics MA Program. (3).
Axiomatic development of the topological properties of the linear continuum without consideration of an algebraic structure. Neighborhoods, open sets, limit points, Bolzano-Weierstrass property, Heine-Borel property, category, Cantor-Bendixson theorem. Proofs presented by the students. Not open to students with credit for MTH 423 .
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MTH 527 - Coding Theory.
Admission to Mathematics MA Program. (3).
Fundamental concepts of error-correcting codes and cryptography. Finite fields; linear, cyclic and BCH codes; Reed-Solomon codes and digital audio recording. Not open to students with credit for MTH 327 .
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MTH 528 - Modern Algebra.
Admission to Mathematics MA Program. (3).
Integer and polynomial rings and their quotients; field extensions and the impossibility of geometric constructions. Additional topics may include groups, rings, finite fields, or the unsolvability of quintics. Not open to students with credit for MTH 328 .
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MTH 529 - Linear Algebra.
Admission to Mathematics MA Program. (3).
Linear transformations of vector spaces; canonical forms of matrices. Not open to students with credit for MTH 329 .
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MTH 531 - Conics and Cubics.
Admission to Mathematics MA Program. (3).
Introduction to algebraic curves of low degree. Intersections of curves; Bezout’s Theorem; theorems of Pascal and Brianchon; classification of cubics, addition on cubics. Not open to students with credit for MTH 331 .
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MTH 534 - College Geometry.
Admission to Mathematics MA program. (3).
Selected topics in Euclidean, projective, and other geometries. Not open to students with credit for MTH 333 .
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MTH 554 - Number Theory.
Admission to Mathematics MA Program. (3).
Divisibility, congruences, number theoretic functions. Diophantine equations, distribution of primes, rational approximation. Not open to students with credit for MTH 354 .
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MTH 556 - Real Analysis.
Admission to Mathematics MA Program. (4).
Topology of Euclidean spaces, concepts of limit, continuity, differentiability and integrability of real and vector functions. Additional topics chosen among infinite series, inverse and implicit function theorems, Stieltjes integrals, line and surface integrals. Not open to students with credit for MTH 456 .
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MTH 557 - Advanced Calculus.
Admission to Mathematics MA Program. (3).
Fourier series, differential and integral vector calculus. Additional topics chosen from orthogonal functions and partial differential equations. Not open to students with credit for MTH 357 .
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MTH 562 - Combinatorics with Applications.
Admission to Mathematics MA program. (3).
Combinatorics including permutations, combinations, inclusion/exclusion. Recurrence relations and finite differences. Graph theory including paths, trees, and optimization algorithms. Introduction to linear programming. Not open to students with credit for MTH 362 .
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MTH 570 - Complex Variables.
Admission to Mathematics MA Program. (3).
Complex numbers, the Cauchy-Riemann equations, analytic functions, power series, integration, the Cauchy theorems, meromorphic functions, Laurent series, the maximum principle, residues. Not open to students with credit for MTH 470 .
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MTH 572 - Probability.
Admissions to Mathematics MA Program. (3).
Random experiments, sample spaces, probabilities of events; independence and conditional probability; discrete and continuous random variables, distribution and density functions; expectation, variance, and standard deviation; special distributions and moment generating functions; analysis of joint distributions. Not open to students with credit for MTH 372 .
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MTH 574 - Introduction to Numerical Analysis.
Admissions to Mathematics MA Program. (3).
Numerical methods for solving algebraic equations in one or more variables, integration, interpolation, curve-fitting, and solving differential equations. Emphasis on theoretical aspects, including error analysis. Applications and problems for computer solutions. Not open to students with credit for MTH 374 .
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MTH 575 - Mathematical Statistics.
Admission to Mathematics MA Program; MTH 372 or MTH 572 or equivalent. (3).
Limiting distributions, stochastic convergence, central limit theorem, point and interval estimation of parameters, hypothesis testing, nonparametric tests, sufficiency, completeness, linear regression, analysis of variance. Not open to students with credit for MTH 375 .
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MTH 577 - Methods of Operations Research.
Admission to Mathematics MA Program. (3).
Topics in mathematical modeling, including detailed study of linear programming and simplex methods. Additional topics chosen among dynamic programming, game theory, queuing theory, integer programming, and project scheduling. Not open to students with credit for MTH 377 .
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MTH 585 - History of Mathematics.
Admission to Mathematics MA Program. (3).
Mathematical ideas with emphasis on the development of at least one of the areas of algebra, geometry, or calculus. Not open to students with credit for MTH 385 .
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MTH 590 - Problem-Solving Seminar.
Admission to Mathematics MA Program. (3).
Emphasis on techniques such as exploring examples, special cases, extreme cases, and working backward from known answers. Students encouraged to submit solutions to the problem sections of mathematics journals and to enter mathematics competitions.
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MTH 591 - Independent Study.
Admission to Mathematics MA Program, consent of instructor. (1-4).
Independent study under supervision of the instructor. May be reelected for credit. Graded ABCDE/Y.
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