(3 credits) Prerequisite(s): Must be admitted as a graduate student to be eligible for this course. Examines theoretical and practical considerations in strategic market planning. Explores managerial, ethical, societal, and global dimensions of marketing decision making. Focuses on segmenting markets and making product, pricing, promotion, and distribution decisions.
(4 credits) Prerequisite(s): MKT 601; must be admitted as a graduate student to be eligible for this course. Provides retail management and merchandising framework for all types of businesses. Includes store location, layout, and design; merchandise offerings, assortments, pricing, and control; internal operations-staffing, supervision, promotions, customer services, store operations, and expense control; opportunities for small retailers; and legal and ethical considerations.
(4 credits) Prerequisite(s): MKT 601; must be admitted as a graduate student to be eligible for this course. Covers quantitative and qualitative research methods for analyzing marketing efforts and opportunities. Emphasizes primary techniques such as setting objectives, designing projects, collecting, processing, and analyzing data, reporting results to management, and integrating results into decision-making. Uses computers and latest statistical software.
(4 credits) Prerequisite(s): MKT 601; must be admitted as a graduate student to be eligible for this course. Covers tasks and responsibilities of professional selling and the challenges of managing both the individual and team sales function. Stresses analytical and interpersonal skills, account management, proposal development, planning, organizing, directing, motivating, and controlling a sales organization. Examines legal and ethical issues.
(4 credits) Prerequisite(s): MKT 601; must be admitted as a graduate student to be eligible for this course. Explores concepts, analytic tools, management practices, and advances in marketing goods and services to industrial, commercial, institutional, and other business markets in domestic and global environments. Includes lectures, case analyses, discussions, oral presentations, written reports, and implementation of a field project.
(4 credits) Prerequisite(s): MKT 501; must be admitted as a graduate student to be eligible for this course. The course provides an introduction to Internet technology and the marketing opportunities this technology presents. A multi-dimensional approach is used to combine practical application with marketing principles.
(4 credits) Prerequisite(s): MKT 601; must be admitted as a graduate student to be eligible for this course. Introduces the basic theories and methodology of customer relationship management, including identifying profitable customers, understanding their needs and wants, and building a bond with them by developing customer-centric products and services directed toward providing customer value. Provides hands-on experience with popular analytical CRM and data mining tools that are widely used in the industry. Topics will cover the issues in the customer life cycle: market segmentation, customer acquisition, basket analysis and cross-selling, customer retention and loyalty, and practical issues in implementation of successful CRM programs.
(3 credits) Prerequisite(s): MKT 501; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Explores advanced theories, concepts, and techniques for formulating strategic marketing plans for business and non-business organizations in U.S. and global environments. Topics include environmental analysis, market opportunity analysis, segmentation and positioning, marketing-mix decisions, and formulating action plans.
(4 credits) Prerequisite(s): MKT 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Examines social and psychological influences on individual, household, and organizational buyer behavior. Investigates models of buyer behavior and applies them in the marketing decision-making processes. Includes readings, lectures, discussions, and team projects.
(4 credits) Prerequisite(s): MKT 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Provides an in-depth understanding of marketing planning, focusing on the tools necessary for analysis and decision making in a planning context. Emphasizes marketing decision-support systems in the planning process.
(4 credits) Prerequisite(s): MKT 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Explores the marketing of services in consumer, business, nonprofit, and global settings. Investigates the nature of services and the theories, concepts, tactics, and strategies for solving marketing problems, improving service quality, and building customer satisfaction.
(4 credits) Prerequisite(s): MKT 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Examines the key managerial topics involved in the design, implementation, and evaluation of the marketing communications program. Focuses on objective setting, strategy formulation, and promotional research and evaluation.
(4 credits) Prerequisite(s): MKT 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Provides a managerial introduction to special problems encountered in the evaluation, introduction, and management of consumer and industrial products. Focuses on market analysis, new product development, and product planning.
(4 credits) Prerequisite(s): MKT 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Emphasizes the marketing mix-product, promotion, distribution, and pricing-within the international context, particularly strategic marketing management. Uses cases, readings, films, and textbook. Bases learning materials selection on their pragmatic value to managers. Includes lectures, discussions, and individual/group presentations.
(4 credits) Prerequisite(s): MKT 501 or dept permission; must be admitted as a graduate student to be eligible for this course. Must be admitted as a graduate student to be eligible for this course. Specially arranged field experience abroad, providing intensive business exposure to the target country. Provides students with hands-on research skills, travel, and contact with many sectors of the business community in the target country.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Forms should be obtained prior to start of semester from Marketing Department Office. Student must work (under the supervision of a marketing professional) a minimum number of hours during the semester based on the number of credits desired: 150 (two credits), 225 (three credits), or 300 (four credits). Requires professional marketing work in an organizational environment that extends the curriculum and provides meaningful experience related the student’s area of interest. At the end of the semester, the student must submit a term report to the sponsoring organization and the faculty coordinator.
(4 credits) Prerequisite(s): MKT 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Selected problems in the field of marketing.
(4 credits) Prerequisite(s): MKT 601, prior approval of a written proposal by Marketing faculty advisor, and permission of Department Chair. Study of a significant problem or area in marketing, conducted under the supervision of the faculty advisor. Term report required.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MKT 601 or permission of department chair. Covers quantitative and qualitative research methods for analyzing marketing efforts and opportunities. Emphasizes primary techniques such as setting objectives, designing projects, collecting, processing, and analyzing data, reporting results to management, and integrating results into decision making. Uses computers and the latest statistical software.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MKT 601 or permission of department chair. Examines social and psychological influences on individual, household, and organizational buyer behavior. Investigates models of buyer behavior and applies them in the marketing decision-making processes. Includes readings, lectures, discussions, and team projects.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MKT 601 or permission of department chair. Provides an in-depth understanding of marketing planning, focusing on the tools necessary for analysis and decision making in a planning context. Emphasizes marketing decision-support systems in the planning process.
(4 credits) Prerequisite(s): MKT 601 or permission of department chair. Explores the marketing of services in consumer, business, nonprofit, and global settings. Investigates the nature of services and the theories, concepts, tactics, and strategies for solving marketing problems, improving service quality, and building customer satisfaction.
(4 credits) Prerequisite(s): MKT 601 or permission of department chair. Examines the key managerial topics involved in the design, implementation, and evaluation of the marketing communications program. Focuses on objective setting, strategy formulation, and promotional research and evaluation.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MKT 601 or permission of department chair. Provides a managerial introduction to special problems encountered in the evaluation, introduction, and management of consumer and industrial products. Focuses on market analysis, new product development, and product planning.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MKT 601 or permission of department chair. Emphasizes the marketing mix-product, promotion, distribution, and pricing-within the international context, particularly strategic marketing management. Uses cases, readings, films, and textbook. Bases learning materials selection on their pragmatic value to managers. Includes lectures, discussions, and individual/group presentations.
(3 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: Completion of the Advanced Analytical and Operational Core. Provides an in-depth discussion of research design and measurement issues. Includes principles and logic of experimental and nonexperimental design, measurement theory (validity, reliability, and multiple indicators), data theory and scaling methods (uni-dimensional and summated scales), and comparison, similarity, and preference data.
(3 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Investigates the development and evolution of marketing thought. Provides a historical perspective in marketing-theory development by reviewing and assessing selected scholarly works.
(3 credits) Prerequisite(s): MKT 801 or student group MK81 (MKT 801 waiver) Reviews international business theories and applications, such as absolute and comparative advantage, product life cycle, internalization, market imperfections, and eclectic approaches. Explores issues such as technology transfer, economic development, market integration, and privatization. Includes presentations, research papers, and/or trial dissertation proposal.
(3 credits) Prerequisite(s): MKT 801 or student group MK81 (MKT 801 waiver) Explores theoretical concepts of marketing strategies, their development and implementation, and their success and failure in application. Major tactical areas-such as market entry, positioning, product quality, price, promotion, distribution, and evaluation of market performance-are examined. Investigates issues, methods, models, and findings in the literature.
(3 credits) Prerequisite(s): MKT 801 or student group MK81 (MKT 801 waiver) Introduces current theoretical and methodological issues in consumer behavior. Emphasizes critical evaluation of the relevant literature and explores avenues for theory development and research.
(12 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: Completion of two 800-level marketing electives. Up to 12 credits may be considered toward dissertation credit requirements.
(3 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Focuses on research in marketing involving faculty, outside speakers, and dissertation-stage doctoral students. Students must also be enrolled in MKT 899 (Dissertation).
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisites: MKT 800, MKT 801, and MKT 802. Investigation of selected problems in the field of marketing. May be repeated with change in topic.
(3 credits) Prerequisite(s): Must be admitted as a graduate student to be eligible for this course. Explores and analyzes the ethical and legal implications of significant environmental forces impacting business. Topics include corporate social responsibility, workplace and employment issues, multinational business operations, U.S. and international legal/regulatory issues, ecology issues, and models of ethical analysis for management decisions.
(1 credits) Prerequisite(s): Completion of all Level One and Level Two courses and admission to the College of Business as a degree-seeking graduate student are required for eligibility. Prerequisites: Completion of Level I and Level II or permission of M.B.A. program advisor. A hands-on, exercise-oriented workshop, which explores issues in team building, group performance, team leadership, interpersonal interactions, and related topics.
(3 credits) Prerequisite(s): Completion of all Level One and Level Two courses and admission to the College of Business as a degree-seeking graduate student are required for eligibility. Explores the impact of global environmental forces on management strategies for entering or operating in international markets. Surveys theories and concepts in international marketing, finance, operations, and strategic planning. Considers managerial implications of global trends in politics, trade, culture, regulatory practices, and the role of international institutions.
(3 credits) Prerequisite(s): Completion of all Level One and Level Two courses and admission to the College of Business as a degree-seeking graduate student are required for eligibility. Integrates technology and quality into the strategic management and operations of the firm. Discussion of methods for formulating technology, strategy, choosing core technologies, organizing R&D, managing research projects, and bringing to market new products that meet quality specifications and cost targets. Students learn the techniques of total quality management, how they can be introduced, and how they can be used to improve products, processes, and services of the firm.
(4 credits) Prerequisite(s): Must be admitted as a graduate student to be eligible for this course. Must be admitted as a graduate student to be eligible for this course. The goal of this course is to provide overview of the core concepts, strategies and practices of sustainable businesses. The class is oriented around a list of concepts in sustainable business. Each of these concepts is discussed to a varying degree. The class also explores threats and opportunities created by persistent problems of environmental degradation and its economic consequences to businesses. The course addresses compliance strategies as well as entrepreneurial opportunities created by the sustainability movement.
(4 credits) Prerequisite(s): Must be admitted as a graduate student to be eligible for this course. Must be admitted as a graduate student to be eligible for this course. Application and integration of sustainable business practices, decision making and solutions. Applies principles, concepts, and theories from business and marketing strategy, corporate finance, human resources management, managerial accounting, and operations management to a field experience in sustainable business in order to analyze and solve practical, real-world sustainable business problems.
(4 credits) Prerequisite(s): Must be admitted as a graduate student to be eligible for this course. Must be admitted as a graduate student to be eligible for this course. In this course students will become familiar with sustainable business ventures and with businesses that tackle sustainability challenges while achieving profitability. The focus will be on understanding how to turn sustainable business opportunities into viable ventures. Sustainable venturing opportunities will be examined from the perspective of entrepreneurial startup firms, as well as from the perspectives of established companies. Topics included are: diffusion of innovation and sustainable entrepreneurs, market failures and sustainable venturing, and venturing opportunities in renewable energy, natural and organic products, and in sustainable consulting.
(4 credits) Prerequisite(s): Must be admitted as a graduate student to be eligible for this course. Must be admitted as a graduate student to be eligible for this course. To provide students with a working knowledge of the concepts, opportunities and challenges of social entrepreneurship in emerging markets; to demonstrate the role of social entrepreneurship in creating innovative responses to critical social needs (e.g., hunger, poverty, inner city education, global warming, etc.); to engage in a collaborative learning process to develop a better economies; and to help prepare you personally and professionally for meaningful employment by reflecting on the issues of social entrepreneurship.
(4 credits) Prerequisite(s): Completion of all Level One and Level Two courses; ACT 600, FIN 601, MKT 601 and MLR 601; must be admitted to the College of Business as a degree-seeking graduate student to be eligible for this course. Explores the integrative and cross-functional nature of corporate strategy and decision making. Applies principles, concepts, and theories from business and marketing strategy, corporate finance, human resources management, managerial accounting, and operations management to management decisions and the formulation of strategic business plans.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Topic varies from term to term. Special seminars are offered for lock-step programs. May be repeated with change in topic, with permission of instructor.
(3 credits) Explores the impact of global environmental forces on management strategies for entering or operating in international markets. Surveys theories and concepts in international marketing, finance, operations, and strategic planning. Considers managerial implications of global trends in politics, trade, culture, regulatory practices, and the role of international institutions.
(4 credits) Systems of linear equations, determinants and volumes, vector spaces, linear transformations, eigenvalues, and eigenvectors; an emphasis on the associated geometry in two- and three-dimensions.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Vector spaces, linear transformations, eigenvalues, eigenvectors, canonical forms of matrices, matrix decompositions, applications of linear algebra, calculus of functions of several variables, Jacobians, Taylor’s formula, multiple integrals, surface integrals, and change of variables formula.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. This course gives a rigorous introduction to the real numbers. Topics include sequences and series, basic topology of the real numbers, functional limits and continuity, the derivative, sequences and series of functions, the Riemann integral, and metric spaces. The major application is Fourier series. Credit cannot be earned for this course if a student has already taken MTH 415.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. This course deals with the fundamentals of complex analysis, including basic properties of complex numbers, analytical functions, harmonic functions, integration, Taylor and Laurent series, residue calculus and conformal mapping, and their applications. Credit cannot be earned for this course if a student has already taken MTH 416.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. A variety of topics that emphasize the use of computers and graphing calculators in mathematics and education.
(4 credits) A survey of combinatorial methods, including binomial coefficients and other special numbers, recurrence relations, calculus of finite differences, and generating functions, emphasizing exact evaluation of combinatorial sums in closed form. Credit cannot be earned for this course if a student has already taken MTH 420.
(4 credits) Prerequisite: MTH 567 or permission of instructor. The course will cover techniques of modeling data that are collected sequentially. Topics to be covered include a review of basic ideas of modeling a continuous variable, time series regression, autocorrelation, decomposition methods, ARMA (Autoregressve Moving Average) models, and ARIMA (Autoregressive Integrated Moving Average) models. The course will use a statistical programming language. The course will also require the completion of a time series analysis project. Data from a variety of fields will be studied. Credit cannot ve earned for this course if a student has already taken MTH 421.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Modeling techniques for probabilistic systems and analysis of Monte Carlo simulations. Discrete time Markov chains, Poisson process, Birth-and-Death process, Renewal process. Random walks and Brownian motion. Applications include queuing theory, financial models, populations, inventory theory, and optimization of stochastic systems.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Part one of a two-part sequence devoted to methods of applied mathematics, including various topics in ordinary and partial differential equations, integral equations, and calculus of variations, as well as specific applications to engineering and the sciences.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Prerequisite: Teacher licensure or consent of Mathematics Department Chair. An in-depth study of mathematical topics in middle school curricula in the area of numbers, patterns, and operations. Topics include numeration concepts, concepts of measurement, study of rational and irrational numbers, proportionality, estimation, and operations. Credit does not count toward the M.A. or M.S. degree in Mathematics.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Prerequisite: Teacher licensure or consent of Mathematics Department Chair. Emphasis on algebra as a powerful symbolic language for studying patterns, relations, and variation; for solving linear and quadratic equations and inequalities; and for modeling real-life situations. Emphasis is on variables and functions in symbolic and graphical forms, especially linear, quadratic, exponential, logarithmic, and inverse functions. Goals include developing a deep understanding of these topics as appropriate for middle school teachers. Credit does not count toward the M.A. or M.S. degree in Mathematics.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Prerequisite: Teacher licensure or consent of Mathematics Department Chair. This course is designed to increase the conceptual understanding of geometry for middle school teachers. Topics include dynamic geometry, integrating the use of computer software; basic geometry theorems and constructions; similarity, proportion, scaling, and geometric growth; tessellations; simple trigonometric relationships; van Hiele levels of geometric graphical representations; transformational geometry; and analytic geometry. Credit does not count toward the M.A. or M.S. degree in Mathematics.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Prerequisite: Teacher licensure or consent of Mathematics Department Chair. Ratios, fractions, percentages, data collection, graphical experimentation, basic strategies of data analysis, some statistical methods to analyze data, and inference based on date and simulation. Credit does not count toward the M.A. or M.S. degree in Mathematics.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Prerequisite: Teacher licensure or consent of Mathematics Department Chair. An introduction to the concepts of calculus. Pictures and hands-on experiments are used to develop an overview of the big ideas and an appreciation of how calculus helps us understand the real world. Includes differentiation, integration, and applications of calculus to the real world. Credit does not count toward the M.A. or M.S. degree in Mathematics.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Prerequisite: MTH 567 or permission of instructor. The course will cover techniques of modeling data for data that are categorical rather than continuous in nature. Topics to be covered include joint, marginal, and conditional probabilities, relative risk, odds ratios, generalized linear models, logistic regression, multi-category logit models, and loglinear models. The course will utilize data examples from the fields of biology, medicine, health, epidemiology, environmental science, and psychology. The course will use a statistical programming language. The course will also require the completion of a categorical data analysis project. Credit cannot be earned for this course if a student has already taken MTH 431.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Modeling of real-world problems using methods of probability theory such as Markov chains, queuing theory, decision analysis, and simulation.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Geometry of curves and parametric surfaces, Gaussian and mean curvatures, geodesics, and other topics as time permits, including minimal surfaces, non-Euclidean models, and aspects of relativity.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Linear programming, including the simplex method, sensitivity analysis, duality, and integer programming. Additional topics selected from LU decomposition, dual simplex algorithm, game theory, Karmarkar’s algorithm, as well as topics from nonlinear programming, such as steepest descent and Kuhn-Tucker conditions. Part one of a two-part sequence.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Counting principles, basic combinatorics and graph theory, graph theory algorithms, and linear programming.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Modeling of real-world problems in science and economics using differential equations.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. A historical approach to calculus emphasizing the difficulties in formulating and controversies surrounding the fundamental ideas of the subject.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Introduction to modern algebra with emphasis on topics relevant to the secondary mathematics curriculum, including congruence, fields, polynomials and roots, and applications.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Introduction to statistics, including descriptive statistics, sampling, expected value, estimation, hypothesis testing, and statistical computing software.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. An applied data analysis course. A quick review of techniques for analyzing a single variable will be followed by emphasizing methodologies including One Way Analysis of Variance, nonparametric statistics, and regression. The statistical methods taught will explore the concepts of estimation, hypothesis testing, normal distribution and p-value. The course emphasizes the link between statistical graphics and formal statistical tests and involve the use of a statistical programming language. Part one of a two-part sequence.
(4 credits) Prerequisite: MTH 514 or permission of the instructor. This is an introduction to quantitative methods assoicated with the analysis of human genetic data, with an emphasis on applied projects aimed at prediction of disease status of a new sample on the basis of observed samples and identification of biomarkers leading
to human disease. Topics will include overview of microarray, proteomics, and metablomics data, overview of supervised learning, linear methods for classification, kernel methods, boosting and additive trees, neural networks, support vector machines and flexible discriminants, and unsupervised learning. Students must be familiar with matrix notation and the statistical programming language R will be used in this course.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Introduction to the numerical methods of financial derivatives. Topics include an overview of the basic concepts of mathematical finance, computational tools such as binomial methods, finite-difference methods, and methods for evaluating American options and Monte Carlo simulation. Numerical experiments are conducted using software such as Matlab, Microsoft Excel, and Maple, but no previous familiarity with these packages is assumed. Part one of a two-part sequence.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Transformational geometry in two- and three-dimensions, congruence and similarity, conics, tilings, and applications.
(4 credits) Topics in chaotic dynamical systems and fractals, such as one-dimensional discrete systems, Julia and Mandelbrot sets, chaotic differential equations, and iterated function systems.
(4 credits) Prerequisites: A grade of C or better in a course of level 300 or above in one of the following disciplines: MTH, CIS, EEC, ESC; or instructor permission. This course presents advanced topics in number theory. Topics may include primality testing, prime number generation, integer factorization, discrete logarithms, elliptic curves and advanced cryptographic protocols, and other topics chosen by the instructor. Credit cannot be earned for this course if a student has already taken MTH 482.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Systems of differential equations, local and global behavior of a vector field in the plane, discrete dynamical systems, structural stability, the Poincare-Bendixon theorem, bifurcations, chaos, and strange attractors.
(4 credits) Prerequisites: A grade of C or better in MTH 182, or a special permission from the instructor. Basic mathematical interest theory and time value of money, annuities, loan repayment, bonds, equations of value and yield rates, interest rate sensitivity, stocks and financial markets, arbitrage, term structure of interest rates and derivatives. It can be used to prepare for the SOA Exam FM/CAS Exam 2 (Financial Mathematics Exam).
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Detailed study of a selected topic in advanced mathematics. Topic varies with instructor. May be taken for credit more than once, but no single topic may be repeated. Consult the Mathematics Department for current offerings.
(4 credits) Prerequisite(s): Grad course eligibility for undergraduates: credits earned greater than or equal
to 144 and gpa 2.75 OR level is graduate. Independent study under the supervision of a faculty member.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MTH 525 or permission of instructor. Part two of a two-part sequence devoted to methods of applied mathematics, including various topics in ordinary and partial differential equations, integral equations, and calculus of variations, as well as specific applications to engineering and the sciences.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MTH 537 or permission of instructor. Stochastic models, Markov chains, queuing theory, reliability theory, forecasting, and decision processes. Part two of a two-part sequence.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MTH 567 or permission of instructor. The purpose of this course is to continue to explore the fundamental concepts involved in applied data analysis. We will study data analysis techniques that model differences in the response variable from independent factors. We will continue using the multiple regression model developed in MTH 567 to study model checking, two way analysis of variance, repeated measures, serial correlation, and multivariate response. We will also study categorical data techniques such as risk, odds, and logistic and Poisson regression. Part two of a two-part sequence.
(4 credits) Prerequisite: MTH 514 and MTH 567 or permission of instructor. Applications of
multivariate statistical methods to applications in medicine, biology, and the social sciences. The main topics of this course will adress the issue of multiple measures of a response variable of interest. Topics will include multivariate analysis of variance (MANOVA), principal components, factor analysis, canonical correlation analysis, and discriminant analysis, among others. Students must be familiar with matrix notation, and statistical software will be used in the course.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Prerequisite: MTH 577 or permission of instructor. Applications of numerical methods to real-life problems in science and engineering. Topics may include the following: initial value problems, the radar problem, the calibration problem, building exploratory environments, refined graphics, numerical approximation of orbits in the planar three-body problem, effect of spin on trajectories, least squares problems, and boundary value problems. Numerical experiments are conducted using software such as Matlab and Maple, but no previous familiarity with these packages is assumed. Part two of a two-part sequence.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Detailed study of a selected topic in advanced mathematics. Topic varies with instructor. May be taken for credit more than once, but no single topic may be repeated. Consult the Mathematics Department for current offerings.
(4 credits) Prerequisites: Good standing in the graduate program. Working with a faculty supervisor, a student will read papers in technical journals, choose a research topic, and write a technical report in mathematics, statistics, or applied mathematics.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. Independent study under the supervision of a faculty member.
(4 credits) Prerequisite(s): Undergraduate students, Nondegree graduates ineligible to enroll in 600/700/800 level graduate courses. An applied data analysis course that begins with a quick review of techniques for analyzing two independent samples with a quantitative response. Other covered methodologies include One and Two Way Analysis of Variance, nonparametric statistics, and regression. The statistical methods taught will explore the concepts of estimation, hypothesis testing, statistical significance and p-value. The course emphasizes the link between statistical graphics and formal statistical tests and involve the use of a statistical programming language. Part one of a two-part sequence.
(4 credits) We will continue using the analysis of variance model developed in MTH 767 to study model repeated measures. We will continue the multiple regression model to study serial correlation, multivariate response, as well as collinearity and leverage. We will also study categorical data techniques such as risk and odds as well as logistic and poisson regression. Part 2 or a two-part sequence.
(4 credits) Prerequisite(s): Restriction for undergraduates in graduate courses and enrolled in the college
of Engineering Mathematical modeling/analysis of physical systems; boundary value problems. Fourier series and integrals; diffusion equation, Sturm-Liouville theory; Wave equation, D’Alem-bert’s solution; Bessel and Legendre functions.
(4 credits) Prerequisite(s): Restriction for undergraduates in graduate courses and enrolled in the college
of Engineering Modeling and analysis of dynamic systems with interacting energy domains: fluids, thermal, electrical, and mechanical; formulation of linear and nonlinear state equations; unified treatment of diverse systems with bond graphs.
(4 credits) Prerequisite(s): Restriction for undergraduates in graduate courses and enrolled in the college
of Engineering General discussion of Cartesian tensors. Application to the mechanics of linear and nonlinear continua. Unified analysis of stress and deformations in solids and fluids.
(4 credits) Prerequisite(s): Restriction for undergraduates in graduate courses and enrolled in the college
of Engineering Advanced numerical methods for solving parabolic, elliptic, and hyperbolic partial differential equations; convergence and stability criteria; grid generation; special mesh systems and orthogonal coordinate systems; computer applications.
(4 credits) Prerequisite(s): Restriction for undergraduates in graduate courses and enrolled in the college
of Engineering Study of multi-degree-of-freedom and continuous systems; modal analysis and modal summation methods; wave equation solution for strings, rods, beams, and plates; approximate and energy method solutions; introduction to finite element solution techniques.
(4 credits) Prerequisite(s): Restriction for undergraduates in graduate courses and enrolled in the college
of Engineering Availability analysis (exergy); irreversibility; combustion; applications to internal and external combustion engine, vapor power, and refrigeration cycles.
(4 credits) Prerequisite: MCE 324. Convective heat and mass transfer analogies; heat exchangers; enhanced convection heat transfer; boiling, condensation, two-phase flow and heat transfer; radiation in enclosures and gaseous media; micro- and nanoscale heat transfer; heat transfer applications (e.g. heat pipes, cooling of electronics, applications in biological/biomedical systems, alternative enery systems, mini-/microsensor systems, etc).
(4 credits) Prerequisites:Consent of instructor needed. Navier-Stokes equations and boundary layer analysis; introduction to compressible flow; fundamentals of turbomachinery; propulsion systems; practical fluid systems analysis and design.
(4 credits) Prerequisites: ESC 350 and MCE 371 for students in the accelerated BSc-MSc program in Mechanical Engineering (MCE 541 to be taken instead of MCE 441).
Graduate students who did not take an undergraduate course equivalent to MCE 441 may take MCE 541 strictly under instructor consent. Introduction to mathematical modeling and design of engineering dynamic systems; controller design; stability analysis; root-locus techniques; Bode diagrams; transient and steady-state response and design of closed-loop control systems.
(4 credits) Prerequisite(s): Restriction for undergraduates in graduate courses and enrolled in the college
of Engineering Review of chemical kinetics; conservation equation for multicomponent reacting systems; premixed laminar and turbulent flames.