Graduate Catalog - University of Central Oklahoma
Graduate Catalog - University of Central Oklahoma
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 />
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