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Graduate Catalog - University of Central Oklahoma

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<strong>University</strong> <strong>of</strong> <strong>Central</strong> <strong>Oklahoma</strong><br />

<strong>Graduate</strong> <strong>Catalog</strong>, 2012 - 2013<br />

<strong>Graduate</strong> Course Descriptions<br />

MATH 5113 - Operations Research I<br />

Topics for this course include linear programming formulation, the<br />

simplex method, duality, and Linear sensitivity analysis. Applications<br />

will include the transportation model and its variants, integer linear<br />

programming, goal programming, network models, CPM and PERT.<br />

Prerequisite(s): MATH 3143.<br />

MATH 5123 - Operations Research II<br />

Topics in this course include deterministic dynamic programming,<br />

deterministic inventory modes, forecasting models, decision analysis<br />

and games, probabilistic dynamic programming, probabilistic inventory<br />

models, queuing systems and simulation modeling. Prerequisite(s):<br />

MATH 4113 or 5113.<br />

MATH 5134 - Calculus For Secondary Teachers<br />

This course is a survey <strong>of</strong> calculus in view <strong>of</strong> modern concepts and<br />

is intended for students preparing to teach advanced secondary<br />

mathematics.<br />

MATH 5143 - Advanced Calculus For Applications 1<br />

This is the first course in a two-course sequence <strong>of</strong> differential and<br />

integral calculus. Its topics include sequences and limits <strong>of</strong> sequences,<br />

limits <strong>of</strong> single variable functions, and differentiation and integration<br />

<strong>of</strong> single variable functions. Students will be required to apply the<br />

ideas learned to individual investigations. Prerequisite(s): Math 3103.<br />

MATH 5153 - Advanced Calculus For Applications 2<br />

This is the second course ina two-course sequence <strong>of</strong> differential<br />

and integral calculus. Its topics include infinite series <strong>of</strong> numbers,<br />

sequences and series <strong>of</strong> functions, Fourier series, vector calculus,<br />

and limits, differentiation, and multiple integration <strong>of</strong> functions <strong>of</strong><br />

several variables. Prerequisite(s): MATH 5143.<br />

MATH 5164 - Calculus For Secondary Teachers<br />

This course is a continuation <strong>of</strong> MATH 5134. Prerequisite(s): MATH<br />

5134.<br />

MATH 5183 - Numerical Analysis II<br />

This course is a continuation <strong>of</strong> MATH 3263. Topics include the study<br />

<strong>of</strong> quadrature formulae, the numerical solution <strong>of</strong> ordinary differential<br />

equations, an introduction to linear programming, and error analysis.<br />

Prerequisite(s): MATH 3263.<br />

MATH 5203 - Foundations Of Mathematics<br />

This course is a study <strong>of</strong> the fundamental concepts <strong>of</strong> mathematics.<br />

Topics include axiomatic methods in algebra and geometry, the theory<br />

<strong>of</strong> sets and other cultural aspects <strong>of</strong> mathematics.<br />

MATH 5243 - Vector Analysis<br />

Topics in this course include vector algebra, vector functions <strong>of</strong> one<br />

variable, differential invariants, integral theorems, and vector spaces.<br />

Prerequisite(s): MATH 2343.<br />

MATH 5323 - Non-Linear Programming<br />

Topics in this course include the N.L.P. problem, Kuhn-Tucker conditions,<br />

quadratic, separable, and integer programming, and the<br />

method <strong>of</strong> Griffith and Stewart. Prerequisite(s): MATH 4113 or 5113.<br />

MATH 5403 - Introduction To Actuarial Science<br />

Topics in this course include single-life mortality functions, annuities,<br />

life insurance, premiums, and reserve multiple-life functions.<br />

Prerequisite(s): STAT 4113 or 5113 or 4353 or 5353.<br />

MATH 5413 - Differential Equations<br />

Topics in this course include partial differential equations, elliptic,<br />

hyperbolic, and parabolic equations, separation <strong>of</strong> variables, special<br />

functions, eigen function expressions, and the existence and uniqueness<br />

<strong>of</strong> solutions. Prerequisite(s): MATH 5363.<br />

MATH 5433 - Theory Of Functions<br />

This course is an introduction to the theory <strong>of</strong> functions <strong>of</strong> real and<br />

complex variables.<br />

MATH 5443 - Introduction To Complex Variables<br />

This course is an introduction to the theory <strong>of</strong> functions <strong>of</strong> a complex<br />

variable. Topics include analytic functions, complex integrals, Taylor<br />

and Laurent series, and conformal mappings. Prerequisite(s): MATH<br />

2343.<br />

MATH 5453 - Mathematical Modeling<br />

This course is a case study approach to mathematical modeling.<br />

Problems from a variety <strong>of</strong> problem areas and demonstrating various<br />

mathematical methodology will be discussed. Prerequisite(s):<br />

Permission <strong>of</strong> the instructor.<br />

MATH 5503 - Symbolic Logic<br />

Topics in this course include the logic <strong>of</strong> syntax, an analysis <strong>of</strong><br />

truth-functional compound statements, truth tables, formal and indirect<br />

pro<strong>of</strong>s, propositional functions and the use <strong>of</strong> quantifiers, the<br />

logic <strong>of</strong> relations, and a study <strong>of</strong> the nature <strong>of</strong> deductive systems.<br />

Prerequisite(s): MATH 2323 and 6 hours <strong>of</strong> mathematics.<br />

MATH 5543 - Applied Group Theory<br />

Applications <strong>of</strong> group theory to finite state machines, switching functions,<br />

and error detecting codes will be examined in this course. Other<br />

topics include sets, partially ordered sets, functions, and boolean<br />

algebras. Prerequisite(s): MATH 4583.<br />

MATH 5563 - Introduction To Graph Theory<br />

Topics in this course include the structure <strong>of</strong> graphs, trees, connectivity,<br />

planarity, colorability <strong>of</strong> graphs, digraphs, matrices associated with<br />

a graph, and the automorphism group <strong>of</strong> a graph. Graph theoretic<br />

modeling and applications to engineering, computer science, and data<br />

structures will be emphasized. Prerequisite(s): MATH 3183 or 3143.<br />

MATH 5843 - Methods <strong>of</strong> Teaching Mathematics & Computer Science<br />

This course examines general aspects <strong>of</strong> the teaching <strong>of</strong> mathematics<br />

and computer science at the secondary and junior college levels.<br />

Prerequisite(s): CMSC 1613 and MATH 4843.<br />

MATH 5853 - Introduction To <strong>Graduate</strong> Research<br />

Students in this course will learn how to conduct scholarly research,<br />

read pr<strong>of</strong>essional journals, structure a comprehensive paper, and<br />

communicate mathematical concepts. Each student will submit a<br />

comprehensive report in a format appropriate to the nature <strong>of</strong> the<br />

investigated problem. Prerequisite(s): Enrollment open to math<br />

majors only.<br />

MATH 5900 - Practicum In Mathematics<br />

Credit will vary from 1 to 4 hours. Subject matter will vary within the<br />

department’s field <strong>of</strong> study.<br />

MATH 5910 - Seminar / Special Topics<br />

Credit will vary from 1 to 4 hours. Directed intensive study on selected<br />

problems or special topics. Prerequisite(s): Undergraduate minor in<br />

the subject matter area and permission <strong>of</strong> graduate advisor.<br />

MATH 5920 - Workshop<br />

Credit will vary from 1 to 4 hours. Subject matter will vary within the<br />

department’s field <strong>of</strong> study. Normally involves lecture, films, guest<br />

speaker, etc. A grade <strong>of</strong> “P” or “F” is given.<br />

MATH 5930 - Individual Study<br />

Credit will vary from 1 to 4 hours. Directed intensive study on definite<br />

or special subject, based on approved outlines or plans; conference,<br />

oral and written reports. Prerequisite(s): Permission <strong>of</strong> instructor.<br />

238

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