Ohio University Graduate Catalog 2017-19 [Archived Catalog]
Courses
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LING 5920 - Language Teaching Practicum
Supervised graduate student teaching. Required twice for all M.A.–TESOL majors and all teaching associates.
Requisites: LING 5800 or concurrent Credit Hours: 2 Repeat/Retake Information: May be repeated for a maximum of 4.0 hours. Lecture/Lab Hours: 4.0 practicum Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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LING 5921 - CALL Teaching Practicum
Provides students with supervised opportunities to teach English online to students at Ohio University affiliated institutions, including Chubu University, Hong Kong Baptist University, Al-Baha University and others. Students will apply practices related to language teaching methods, materials design and computer assisted language learning. They will also be responsible for creating instructional materials and environments used in the practicum. Students will have opportunities to focus on general English as well as specific language skills, including writing for academic purposes, pronunciation, business English, and other foci as appropriate.
Requisites: LING 5510 and 5520 Credit Hours: 2 Repeat/Retake Information: May be repeated for a maximum of 4.0 hours. Lecture/Lab Hours: 4.0 practicum Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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LING 5922 - Practicum in Teaching Foreign Languages
Provides pedagogical support to Linguistics TAs teaching Chinese, Japanese, Swahili, Arabic, English as a Second language and other languages taught in the Linguistics department.
Requisites: Permission required Credit Hours: 1 Repeat/Retake Information: May be repeated for a maximum of 6.0 hours. Lecture/Lab Hours: 1.0 practicum Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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LING 5923 - Teaching Linguistics
Provides pedagogical support to Linguistics TAs teaching Linguistics courses especially LING2700 and LING3500
Requisites: Permission required Credit Hours: 1 Repeat/Retake Information: May be repeated for a maximum of 6.0 hours. Lecture/Lab Hours: 1.0 practicum Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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LING 5940 - Research Experience in Linguistics
Students will have an opportunity to gain research experience by working with faculty on their research areas.
Requisites: Permission required Credit Hours: 1 - 3 Repeat/Retake Information: May be repeated for a maximum of 6.0 hours. Lecture/Lab Hours: 3.0 research Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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LING 6000 - Studies in Linguistics
Directed individual investigation of particular area of interest in linguistics.
Requisites: Permission required Credit Hours: 1 - 4 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 1.0 tutorial Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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LING 6090 - Colloquium in Linguistics
Regularly scheduled lectures on topics related to theoretical and applied linguistics.
Requisites: Credit Hours: 1 Repeat/Retake Information: May be repeated for a maximum of 4.0 hours. Lecture/Lab Hours: 1.0 seminar Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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LING 6610 - Phonological Structures of English
Introduction to pedagogical issues related to the teaching of listening and speaking in ESL/EFL settings.
Requisites: Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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LING 6710 - Grammar in use
Introduction to pedagogical issues related to the teaching of English grammar in ESL/EFL settings.
Requisites: LING 5701 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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LING 6850 - An Introduction to the Teaching of Second Language Reading and Writing
Theories and applications of reading and writing research.
Requisites: LING 5800 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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LING 6900 - Special Topics in Linguistics
Specific course content will vary with offering.
Requisites: Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 1.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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LING 6950 - Thesis
Advanced research culminating in thesis.
Requisites: Permission required Credit Hours: 4 Repeat/Retake Information: May be repeated for a maximum of 8.0 hours. Lecture/Lab Hours: 3.0 thesis/dissertation Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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LPA 5640 - Conflict Management and Dispute Resolution in Public and Nonprofit organizations
Will introduce you to the concepts of conflict management and the field of Dispute Resolution in general and interpersonal dispute mediation in particular. We will examine how non-adversarial, collaborative dispute resolution approaches can be used to address complex issues. You will learn new perspectives on conflict, evaluate conflict resolution approaches, and practice mediation skills.
Requisites: Credit Hours: 3 Repeat/Retake Information: May be repeated for a maximum of 6.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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LPA 5660 - Theories and Practices in Collaboration
This seminar focuses on theories and practices in collaboration.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 seminar Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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LPA 5840 - Entrepreneurial Consulting for Public and Non-Profit Organizations
Designed to initially overview the consulting profession with a subsequent emphasis on entrepreneurial consulting issues as well as to introduce students to the entrepreneurial business enterprise in the public and non-profit sectors, its functional areas, challenges and success factors. Effort will be placed on developing proficiencies in a range of skills required to practice consulting as well as start, scale and run a successful organization. The course is relevant to those 1) who are specifically interested in consulting careers and / or 2) whose area of interest involves entrepreneurship, starting, scaling, managing and leading organizations in the public/non-profit sectors.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 seminar Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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LPA 5850 - Technology Transfer and Commercialization
Entrepreneurship education, in the sense of focusing on the creation of new economic entities centered
on a novel product/service, has been, until recently, relatively rare. At Ohio University, a pedagogy has
been developed focused on inter-disciplinary team-based projects that result in new venture formation and
long-term success for the newly-founded companies and the University that developed the research and
technologies which are the basis for many of the companies. The curriculum is structured such that
students from the disciplines of science, medicine, engineering, communication, and business can be
engaged and participate.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 seminar Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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LPA 5900 - Special Topics in Leadership and Public Affairs
Specific course content will vary with offering.
Requisites: Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 1.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MALA 5310 - Advanced Malaysian I
Culture based approach to increased language proficiency. Students continue to develop listening, reading, speaking, and writing skills as they study diverse history and customs of Malaysian speakers.
Requisites: INDO 5220 or (522 and 523) Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,PR,WP,WF,WN,FN,AU,I
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MALA 5320 - Advanced Malaysian II
Culture based approach to increased language proficiency. Students continue to develop listening, reading, speaking, and writing skills as they study diverse history and customs of Malay speakers.
Requisites: MALA 5310 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,PR,WP,WF,WN,FN,AU,I
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MALA 5930 - Independent Study-Malaysian
Independent study of topic of interest in Malaysian language or literature.
Requisites: Permission required Credit Hours: 1 - 4 Repeat/Retake Information: May be repeated for a maximum of 4.0 hours. Lecture/Lab Hours: 1.0 independent study Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MATH 5000 - History of Mathematics
Main lines of mathematical development in terms of contributions made by great mathematicians: Euclid, Archimedes, Descartes, Newton, Gauss, etc..
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5070 - Introduction to Number Theory
Investigation of properties of the natural numbers. Topics include mathematical induction, factorization, Euclidean algorithm, Diophantine equations, congruences, divisibility, multiplicative functions, and applications to cryptography.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5100 - Teaching of Mathematics in Secondary School
Selected topics related to teaching of mathematics in grades 7-12
Requisites: MATH 5100L or concurrent Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5100L - Teaching of Mathematics in Secondary School Early Field Experience
Early Field Experience for students in Teaching Mathematics in Secondary Schools.
Requisites: MATH 5100 or concurrent Credit Hours: 1 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 2.0 laboratory Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5110 - College Geometry
An axiomatic approach to Euclidean geometry. A core batch of theorems of Euclidean geometry are proven, and interesting geometric problems are solved using the axioms and theorems. Additional concepts and techniques – such as similarity, transformations, coordinate systems, vectors, matrix representations of transformations, complex numbers, and symmetry – are introduced as ways of simplifying the proofs of theorems or the solutions of geometric problems. Hyperbolic geometry is introduced from an axiomatic standpoint, primarily to illustrate the independence of the Parallel Postulate. Computers are used to produce dynamic drawings to illustrate theorems and problems.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5120 - College Mathematics Teaching for New Teaching Assistants
This course prepares new mathematics teaching assistants for undergraduate-level mathematics instruction. Students will investigate the technical, pedagogical, ethical, and other professional dimensions of undergraduate mathematics instruction.
Requisites: Permission required Credit Hours: 2 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 1.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5200 - Applied Linear Algebra
A course on linear algebra with an emphasis on applications and
computations. Solutions to linear systems, matrices and matrix algebra,
determinants, n-dimensional real vector spaces and subspaces, bases and dimension,
eigenvalues and eigenvectors, diagonalization, norms, inner product spaces, orthogonality
and least squares problems.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5210 - Linear Algebra
A course in linear algebra for students majoring or minoring in the mathematical sciences. The course will introduce both the practical and theoretical aspects of linear algebra and students will be expected to complete both computational and proof-oriented exercises. Topic covered will include: Solutions to linear systems, matrices and matrix algebra, determinants, n-dimensional real vector spaces and subspaces, bases and dimension, linear mappings, matrices of linear mappings, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality and applications.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5221 - Modern Algebra I
Groups, permutation groups, subgroups, quotient groups. Conjugate classes and class equation formula and its application to p-groups. Fundamental theorem on homomorphisms.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5222 - Modern Algebra II
Fundamental theorem on finite abelian groups and its consequences. Cauchy theorem and first Sylow theorem. Polynomial rings. UFD and Euclidean domains. Maximal ideals. Algebraic extensions and splitting fields. Fundamental theorem of Galois theory.
Requisites: MATH 5221 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5230 - Introduction to Algebraic Coding Theory
Encoding and decoding. Vector spaces over finite fields. Linear Codes, parity-check matrices, syndrome decoding, Hamming Codes, and Cyclic Codes.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5301 - Advanced Calculus I
A proof-based course on functions of one variable. Topics include properties of the real and complex numbers, metric spaces and basic topology, sequences and series, a careful study of limits and continuity, differentiation and Reimann-Stieltjes integration.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5302 - Advanced Calculus II
Sequences and series of functions, uniform convergence, power series and elementary functions, multidimensional differentiation and integration, special functions (as time permits)
Requisites: MATH 5301 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5310 - Complex Variables
A first course in complex variables focused on developing analytic techniques that are useful in applications. The course is also essential for further study in mathematics and students will be expected to do some proofs. Topics will include: Analytic and harmonic functions, Cauchy integration and residue theorems, contour integration, Taylor and Laurent expansions, conformality and linear fractional transformations with applications.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5320 - Vector Analysis
Vector algebra and its applications. Vector calculus and space curves. Scalar and vector fields, gradient, divergence, curl, and Laplacian. Line and surface integrals. Divergence theorem. Stoke’s theorem, and Green’s theorem.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5330 - Hilbert Spaces and Applications
A course in applied linear analysis, especially Hilbert spaces, for advanced undegraduate and graduate students in mathematics, the sciences or engineering. The course will introduce both the practical and theoretical aspects of linear analysis and students will be expected to complete both computational and proof-oriented exercises. Topic covered will include: Normed Vector Spaces, the spaces L1 and L2, Hilbert Spaces, orthonormal systems, linear operators on Hilbert space and applications to differential equations.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5400 - Advanced Differential Equations
An introduction to the qualitative theory of differential equations, with emphesis on linear systems.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5410 - Fourier Analysis and Partial Differential Equations
Representation of functions as sums of infinite series of trigonometric functions and complex exponentials,, Bessel functions, Legendre polynomials, or other sets of orthogonal functions. Use of such representations for solution of partial differential equations dealing with vibrations, heat flow, and other physical problems.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5470 - Applied Dynamical Systems
A survey of applied dynamical systems for Scientists, Engineers and Mathematicians with an emphasis on continuous time models.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5500 - Theory of Statistics
Probability distributions of one and several variables, sampling theory, estimation of parameters, confidence intervals, analysis of variance, correlation, and testing of statistical hypotheses.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5510 - Applied Statistics
Applications of the theory of statistics, including hypotheses testing, regression and correlation analysis, experimental design, and nonparametric statistics.
Requisites: MATH 5500 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5520 - Stochastic Processes
Markov chains, Poisson process, birth and death process, queuing, and related topics.
Requisites: MATH 5500 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5530 - Statistical Computing
Introduction to computational statistics; Monte Carlo methods, bootstrap, data partitioning methods, EM algorithm, probability density estimation, Markov Chain Monte Carlo methods.
Requisites: MATH 5500 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5550 - Basic Principles of Actuarial Science
Basic concepts of risk theory and utility theory, applied calculus and probability models for the analysis of claims, frequency and severity of distributions, loss distributions, premium determination, insurance with deductible, reinsurance and self-insurance.
Requisites: MATH 5500 or concurrent Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5560 - Theory of Interest and Life Contingencies
Theory of interest and contingent payment models. Mathematical models for the actuarial present value of a future set of payments contingent on some random event(s); life insurance, life annuities, benefit reserves.
Requisites: MATH 5550 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5600 - Introduction to Numerical Analysis
A survey of the ideas, methods, and algorithms in Numerical Analysis.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5610 - Introduction to Waves and Wavelets with Applications
An elementary introduction to Fourier and wavelet analysis and its applications in engineering, such as data analysis and signal and image analysis. Focus on understanding basic mathematical concepts and methodology, developing related numerical algorithms and their implementation using computer software such as Matlab wavelet toolbox. Prior experience with computer software and computer algebra systems, such as Matlab and basic computer programming skills are required.
Requisites: MATH 5600 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5620 - Linear and Nonlinear Optimization
Solution methods, theory and applications of linear and nonlinear optimization problems. The focus is on the mathematics of efficient optimization algorithms, such as Simplex method and steepest ascent. Applications include production planning, financial models, network problems, game theory.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5630 - Discrete Modeling and Optimization
Modeling and solving real-life problems by discrete optimization techniques. The discrete models include integer programming, dynamic programming, network optimization problems. Applications in large economic systems, scheduling, voting theory, telecom and transportation networks are discussed.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5680 - Quantitative Foundations for Bioinformatics
Bioinformatics is the science of extracting biologically relevant information from large sets of biomolecular data. The course will introduce students to the mathematical models, statistical techniques, and algorithms on which this process is based.
Requisites: Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5700 - Introduction to Topology
Topology of Euclidean spaces and general metric spaces. Introduction to general topological spaces.
Requisites: MATH 5301 Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 5900 - Special Topics in Mathematics
Specific course content will vary with offering.
Requisites: Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 1.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MATH 5910 - Internship
Internship at an employer outside the university.
Requisites: Credit Hours: 1 Repeat/Retake Information: May be repeated for a maximum of 3.0 hours. Lecture/Lab Hours: 1.0 field experience/internship Eligible Grades: F,CR,PR,WP,WF,WN,FN,AU,I
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MATH 5960 - Seminar
Seminar
Requisites: Credit Hours: 1 - 4 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 1.0 seminar Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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MATH 6221 - Algebra I
G-sets. Orbits and stabilizers. Orbit decomposition formula. Permutation groups. Alternating groups. Simple groups. Composition series. Jordan-Holder Theorem. The Sylow Theorems. Fundamental theorem of abelian groups. Solvable and nilpotent groups. Rings of power series and Laurent series. Division rings. Prime and maximal ideals in a ring (not necessarily commutative). Nil radical. Rings of quotients of domains (not necessarily commutative). Artinian and Noetherian rings and modules. Hilbert Basis Theorem. Completely reducible modules. Semi-simple Artinian rings. Free, projective, and divisible modules. Tensor product of modules and algebras. Polynomial rings. Irreducible polynomials. Quotient rings. Eisenstein Criterion. Algebraic extension. Algebraically closed fields. Splitting fields. Normal and separable extensions. Finite fields. Fixed fields. Fundamental Theorem of Galois Theory. Solvability by radicals. Constructability by ruler and compass.
Requisites: MATH 5222 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6222 - Algebra II
Continuation of Algebra I.
Requisites: MATH 6221 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6231 - Coding Theory I
A mathematically rigorous survey of Error-Correcting Codes with emphasis on their parameters and their algorithmic efficiency for coding and decoding. Reed Solomon Codes, Goppa Codes, Reed Muller Codes, Algebraic Geometry Codes. Coding and Decoding based on Fast Fourier Transform algorithms. This course surveys various approaches to the structure theory of convolutional codes. They are considered as vector spaces over fields of Laurent expansions, as modules over rings of polynomials and as graph codes. All necessary algebraic background beyond linear algebra is presented in the class, including concepts related to modules over principal ideal domains and ideas regarding trellises and other relevant types of graphs.
Requisites: MATH 5230 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6232 - Coding Theory II
This course surveys various approaches to the structure theory of convolutional codes. They are considered as vector spaces over fields of Laurent expansions, as modules over rings of polynomials and as graph codes. All necessary algebraic background beyond linear algebra is presented in the class, including concepts related to modules over principal ideal domains and ideas regarding trellises and other relevant types of graphs. The course also addresses topics on algebraic coding theory over ring alphabets.
Requisites: MATH 6231 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6301 - Analysis I
Abstract measure and integration, Lebesgue measure on real line; Lp-spaces; Fubini and Radon-Nikodym theorems; differentiation theory.
Requisites: MATH 5302 or 5700 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6302 - Analysis II
Continuation of Analysis I.
Requisites: MATH 6301 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6310 - Complex Analysis
A graduate course in complex analysis focused on classical results for analytic and harmonic functions. Many of the techniques explained in the course, e.g. integrals along paths and the residue theorem, are useful in applications. Topics will include: Analytic and harmonic functions, Cauchy’s theorem and Cauchy’s integral formula, classification of singularities, and entire functions.
Requisites: MATH 5302 or 5310 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6320 - Functional Analysis
An introduction to the basic results of functional analysis in the setting of Banach and Hilbert spaces. Key topics include the weak and weak* topologies, distributions, and an introduction to the Spectral Theorem. Theorems covered include the Hahn-Banach theorem, the Principle of Uniform Boundedness, the Closed Graph theorem, and the Open Mapping Theorem.
Requisites: MATH 6301 and (MATH 5330 or 6302) Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6330 - Fourier Analysis
A graduate course in Fourier Analysis focused on classical results for Fourier series and Fourier transforms. Standard techniques explained in the course, e.g. representations of functions by Fourier series, forward and inverse Fourier transforms, are useful in applications. Topics will include: Fourier series on [-pi,pi], Bessel inequality, convergence theorems, the Fourier transform, and the inverse Fourier transform.
Requisites: MATH 6301 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6400 - Ordinary Differential Equations
A rigorous, proof based course on ordinary differential equations and systems.
Requisites: MATH 5400 and (MATH 5302 or 5330) Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6411 - Partial Differential Equations I
Classical methods in partial differential equations. First-order PDEs, Laplace’s equation, the wave and heat equations, second-order elliptic, parabolic and hyperbolic equations, maximum principles.
Requisites: (MATH 5302 or 5330) and 5400 and 5410 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6412 - Partial Differential Equations II
Advanced functional analytic methods in partial differential equations
Requisites: MATH 6411 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6420 - Calculus of Variations and Optimal Control
A basic course in calculus of variations and optimal control of systems governed by differential equations.
Requisites: MATH 5302 and 5400 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6470 - Dynamical Systems
An advanced course in dynamical systems with an emphasis on canonical examples and mathematical theory.
Requisites: MATH 5400 or 5470 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6500 - Mathematical Statistics
Different types of convergence, consistency, sufficiency and completeness of estimators, theory of hypotheses testing, asymptotic theory.
Requisites: MATH 5510 and 5302 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6510 - Linear Models
Simple linear and multiple regression models, one-sample and one-factor analysis of variance, analysis of residuals, generalized linear models, analysis of deviance as a generalization of the analysis of variance.
Requisites: MATH 5510 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6520 - Experimental Design
Randomization, blocking, Latin squares, balanced incomplete block designs, factorial experiments, confounding and fractional replication, components of variance, orthogonal polynomials, response surface methods.
Requisites: MATH 5510 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6530 - Time Series Analysis
Introductory examples and models, autocorrelation, stationary processes, ARMA models, spectral analysis, nonstationary time series, state-space models, further topics and applications.
Requisites: MATH 5510 and 5302 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6640 - Numerical Analysis: Linear Algebra
In-depth analysis of numerical aspects of problems and algorithms in linear algebra.
Requisites: MATH 5600 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6650 - Numerical Analysis: Approximation Methods
In-depth treatment of numerical approximation techniques, including differentiation and integration.
Requisites: MATH 5600 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6660 - Numerical Analysis: Differential Equations
In-depth treatment of numerical methods for ordinary differential equations; introduction to methods for partial differential equations.
Requisites: MATH 5400 and 5600 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6700 - Point Set Topology
General topological spaces, product and quotient spaces, convergence, separation, countability properties, compactness and paracompactness, connectivity, metric spaces, completion, metrization, completely regular spaces, uniform spaces.
Requisites: MATH 5302 or 5700 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6710 - Algebraic Topology
The fundamental group and the van Kampen theorem, homology of complexes, exact sequences, polyhedra and CW-complexes, simplicial and singular homology and cohomology, applications to Euclidean spaces (the Jordan theorem, the Brouwer fixed point theorem, topological invariance of open sets), covering spaces, fibrations and cofibrations, higher homotopy groups, manifolds and Poincare duality, characteristic classes of vector bundles, introduction to K-theory.
Requisites: MATH 6700 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6750 - Set Theory
Introduction to axiomatic set theory; ordinals and cardinals; equivalents of axiom of choice. Introduction to combinatorial set theory.
Requisites: Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6900 - Special Topics in Mathematics
Specific course content will vary with offering.
Requisites: Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 1.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MATH 6930 - Independent Study
Independent study of topics under guidance of faculty member. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 independent study Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 6940 - Project in Computational Mathematics
Students complete an individual project such as design, implementation, testing, or analysis of an algorithm.
Requisites: MATH 5600 Credit Hours: 4 Repeat/Retake Information: May be repeated for a maximum of 8.0 hours. Lecture/Lab Hours: 3.0 research Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6942 - Project in Mathematics Education Research
Students complete an individual project such as designing and conducting a small pilot study and writing a report detailing the importance of the research question, its place in extant literature, framework and methods, results, and implications.
Requisites: Credit Hours: 4 Repeat/Retake Information: May be repeated for a maximum of 8.0 hours. Lecture/Lab Hours: 3.0 research Eligible Grades: A-F,WP,WF,WN,FN,AU,I
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MATH 6950 - Thesis
Master level Thesis. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 10.0 hours. Lecture/Lab Hours: 3.0 thesis/dissertation Eligible Grades: F,CR,PR,WP,WF,WN,FN,AU,I
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MATH 7000 - Topics in the Foundation and History of Mathematics
Selected topics not offered in normal course offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7010 - Topics in Number Theory
Selected topics not offered in normal course offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7100 - Topics in the Teaching of Mathematics
Selected topics not covered in regular course offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7150 - Topics in Geometry
Selected topics not covered in regular offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7200 - Topics in Algebra
Selected topics not covered in regular offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7300 - Topics in Analysis
Selected topics not covered in regular offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7400 - Topics in Differential Equations
Selected topics not covered in regular offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7500 - Topics in Probability, Statistics, and Stochastic Processes
Selected topics not covered in regular offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7600 - Topics in Applied Mathematics
Selected topics not covered in regular offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 7700 - Topics in Topology
Selected topics not covered in regular offerings. May be repeated for credit.
Requisites: Credit Hours: 1 - 10 Repeat/Retake Information: May be repeated for a maximum of 50.0 hours. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I
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MATH 8900 - Special Topics in Mathematics
Specific course content will vary with offering.
Requisites: Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 1.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MATH 8950 - Dissertation
Doctoral dissertation research. May be repeated for credit.
Requisites: Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 3.0 thesis/dissertation Eligible Grades: F,CR,PR,WP,WF,WN,FN,AU,I
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MATH 8960 - Seminar
Seminar. May be repeated for credit.
Requisites: Credit Hours: 1 Repeat/Retake Information: May be repeated for a maximum of 20.0 hours. Lecture/Lab Hours: 1.0 seminar Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
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MBA 6110 - MBA Core I
Business-related subjects delivered in modular format. Consists of 12 credit hours of modular units in accounting, statistics, marketing, and economics. Units may be added by the faculty team from other 600-level business courses based on the current business environment.
Requisites: Admission to MBA program Credit Hours: 12 Repeat/Retake Information: May be repeated for a maximum of 24.0 hours. Lecture/Lab Hours: 12.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MBA 6120 - MBA Core II
Modular content of business-related subjects. Consists of 13 credit hours of modular units in accounting, finance, marketing, and management. Units may be added from other 600-level business courses based on current business environment. Students must take a 3 credit hours elective in addition to the 13 credit hours of business modules.
Requisites: MBA 6110 Credit Hours: 13 Repeat/Retake Information: May be repeated for a maximum of 26.0 hours. Lecture/Lab Hours: 13.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MBA 6130 - MBA Core III
Modular content of business-related subjects. Consists of 13 credit hours of modular units in management information systems, marketing, management, finance, operations, and international business. Units may be added from other 600-level business courses based on current business environment. Students must take a 3 credit hours elective in addition to the 13 credit hours of business modules.
Requisites: MBA 6120 Credit Hours: 13 Repeat/Retake Information: May be repeated for a maximum of 26.0 hours. Lecture/Lab Hours: 13.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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MBA 6310 - Foundations of Accounting
Introduction to the basic tenets and processes of accounting systems for financial statements and managerial reports. Study of the financial reporting process for investor and creditor decisions, including internal controls. Study of cost behavior, budgeting, and capital budgeting for managerial reports. Spreadsheet design and application integrated throughout the course.
Requisites: Admission to MBA program Credit Hours: 3 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I
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