Analytical Mathematical Modeling | Statistical Data Analysis | PLUS Courses | Master's Project |
Required credit hours in analytical mathematical modeling (9 cr.)
ACM 610
Continuous Foundations of Applied Mathematics From a Problem Solving
Perspective
1 (0/0)
Prerequisite: Instructor permission.
Problem solving and applications of Continuous Mathematics, including Real Analysis, single and multivariable Calculus, Differential Equations, Optimization and Fourier Analysis. Emphasis on team building and group management through problem solving activities. Read more, download PDF.
ACM 611
Discrete Foundations of Applied Mathematics From a Problem Solving Perspective
1 (0/0)
Prerequisite: Instructor permission.
Problem solving and applications of Discrete Mathematics, including Combinatorics, Graph Theory, Logic, Linear Algebra, Number Theory and Set Theory. Emphasis on team building and group management through problem solving activities. Read more, download PDF.
ACM 612
Computational Foundations of Applied Mathematics From a Problem Solving Perspective
1 (0/0)
Prerequisite: Instructor Permission
Introduction to algorithm design to implement mathematical models, procedural and functional programming, programming paradigms, higher level languages: statistical and visualization software, typesetting software for science and mathematics. Read more, download PDF.
ACM 620 Optimization of Discrete Models
1 (0/0)
Prerequisite: MAT 202 or equivalent
Realworld problems which optimize linear objective functions subject to systems of linear inequalities are formulated mathematically and solved by the two-phase revised simplex method. Applications are given in diverse areas such as business management, industry, economics, finance, and game theory. Read more, download PDF.
ACM 621 Empirical Model Building
1 (0/0)
Prerequisites: (MAT 162 and MAT 202) or equivalents
Exploratory data analysis; polynomial interpolation; curve fitting; least squares; cubic splines; minimax polynomial; Taylor and Chebyshev series; applications to fitting experimental data. Read more, download PDF.
ACM 622 Modeling Change with Dynamical Systems
1 (0/0)
Prerequisites: (MAT 162 and MAT 202) or equivalents
Difference equations; systems of differential equations; Euler and RungeKutta
methods; error analyses; logistic models; applications to ecology, finance, conflicts, natural and social sciences. Read more, download PDF.
ACM 630 Numerical Linear Algebra
1 (0/0)
Prerequisite: MAT 202 OR MAT404
Numerical algorithms for linear algebra problems, matrix operations, matrix
decompositions, solving systems of linear equations. Read more, download PDF.
ACM 631 Eigenvalue Problems
1 (0/0)
Prerequisite: MAT 202 OR equivalent
Numerical algorithms for eigenvalue problems, matrix factorization, matrices, vectors, eigenvalues, eigenvectors, eigenspaces, eigenvalue algorithms. Read more, download PDF.
ACM 632 Numerical Calculus
1 (0/0)
Prerequisite: MAT 162 and MAT 241
Numerical methods and algorithms for finding roots of nonlinear equations, numerical integrals, Fourier series and Laplace transform. Read more, download PDF.
Required credit hours in statistical data analysis (9 cr.)
ACM 640 Linear Regression and Correlation
1 (0/0)
Prerequisite: MAT 202 or equivalent
Simple linear regression and correlation, multiple linear regression, multicollinearity, multiple and partial correlations, confounding and interaction, sequential methods of model selection. Read more, download PDF.
ACM 641 Design and Analysis of Experiments
1 (0/0)
Prerequisite: MAT 202 or equivalent
Design of experiments (one, two and three factors), multiple comparisons, randomized complete block designs, Latin square design. Read more, download PDF.
ACM 642 Nonparametric Statistics
1 (0/0)
Prerequisite: MAT 202 or equivalent
Introduction to nonparametric tests such as signtest, signed rank test, rank sum test, twoway analysis of variance by ranks, tests of randomness, rank correlation coefficient, and other topics as time permits. Read more, download PDF.
ACM 650 Random Walks and Brownian Motion
1 (0/0)
Prerequisite: MAT 202 or equivalent
Symmetric random walks, ballot theorem, returns to origin and arcsine laws; gambler’s ruin; Brownian motion, conditional distributions, hitting times and maxima. Read more, download PDF.
ACM 651 Markov Chains
1 (0/0)
Prerequisite: MAT 202 or equivalent
Transition matrices, classification of states, limiting probabilities, applications. Read more, download PDF.
ACM 652 Continuous time Stochastic Processes
1 (0/0)
Prerequisite: MAT 202 or equivalent
Exponential distribution; Poisson, Yule, pure birth, and birth and death processes; applications. Read more, download PDF.
ACM 660 Logistic Regression
1 (0/0)
Prerequisite: MAT 202 or equivalent
Comparison of linear and logistic regression, multiple logistic regression, regression diagnostics, indicator variables, multicollinearity, confounding and interaction, model selection, maximum likelihood techniques, polychotomous logistic regression. Read more, download PDF.
ACM 661 Survival Analysis
1 (0/0)
Prerequisite: MAT 202 or equivalent
Survival and Hazard functions, life tables, KaplanMeier survival analysis, Cox
regression proportional hazards model and Cox regression with time dependent variables, comparison with logistic regression approaches. Read more, download PDF.
ACM 662 Time Series Analysis and Forecasting
1 (0/0)
Prerequisite: MAT 202 or equivalent
Time and frequency domain techniques including topics such as autocorrelation, spectral analysis, autoregressive moving average and integrated moving average models, BoxJenkins methodology, fitting, forecasting and seasonal adjustments. Read more, download PDF.
Required credit hours in PLUS courses (9 cr.)
One 3 credit course from each area below:
Business Communication
COM 519
Communication for Managers
3, 3/0
Theories of effective communication; face-toface communication; group problem solving; public speaking; power and leadership in organizational settings; persuasive messages and campaigns that public relations practitioners design for a variety of publics. Designed for graduate students interested in improving their workplace communication skills.
COM 610
Strategic Public Relations
3, 3/0
Prerequisite: Admission to the graduate program in public relations management.
Organizational principles and strategic planning practices underscoring effective management of public relations.
Project Management
ECO 660
Cost-Benefit Analysis
3, 3/0
Methods of estimating and comparing benefits and costs for the purpose of policy analysis and project evaluation in the public, private, and not-for-profit spheres. Topics include present-value calculations and estimating monetary values of nonmarketed, qualitative benefits and costs, such as health, education, environmental impact, recreation, and quality of life.
MET 620
Managing Engineering Projects
Operations Management
EDF/BUS 688
Lleadership in Organizations
3, 3/0
Prerequisite: EDF/BUS/PSY 715.
Theories of leadership; organizational contexts and culture for leadership; role of the leader in organizations; leadership competencies for organizational effectiveness; the leader’s role in mentoring and coaching for effective performance; leader’s role in achievement of organizational mission and goals.
EDF/BUS/PSY 715
Management Practices and Techniques
3, 3/0
Major management theories and factors affecting organizational systems; managing conflict and negotiating agreements; effective interpersonal skills for managers; defining problems and generating creative alternatives; types and sources of information needed by managers; relation of leadership style to staff productivity and development; relating effectively to upper-level management.
INT 602
Operations Management (Advanced Systems Analysis)
3, 3/0
Prerequisite: Graduate status.
Concepts and analytical techniques of comprehensive systems for operations management;
quantitative methods in practical situations; modeling, computer interactive analysis, and nonsteady state situations; data streams; smoothing; forecasting; cyclic components;
feedback.
ACM 690
The required course PSM 690 Master's Project is an individual internship in a professional setting arranged by the student's adviser. It includes data collection, analysis and synthesis of knowledge into an analytical mathematical model. Written reports and oral presentations are also required. Read more, download PDF.