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| MATH 106 |
AC SUPPORT FOR MATH 116E |
0 HOURS |
Corequisites: MATH 116E
Provides supervised sessions in which students work individually or in groups to complete supplementary assignments or projects; may include assistance with text-specific online homework and graphing calculators.
Note: A student who withdraws from MATH 116E must also withdraw from MATH 106. |
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| MATH 109 |
GENERAL MATHEMATICS |
3 HOURS GEN ED D2 |
| Terminal course for non-science majors suggested for the student who has satisfactorily completed minimum high school mathematics requirements and needs no further work in algebra. Topics include sets, introduction to probability and statistics, geometry, and consumer mathematics. |
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| MATH 116 |
COLLEGE ALGEBRA |
3 HOURS GEN ED D2 |
Prerequisites: High school Algebra I and II and satisfactory score on Math Placement Exam; or MATH 096 with a grade of C or better. (Student must enroll in MATH 116E if his/her: (1) Math 096 grade was a C; or (2) previous Math 116 grade was D,F, or W; or (3) Math ACT and MPE scores indicate need for enhanced version.
Graphing and problem solving are integrated throughout the study of polynomial, absolute value, rational, radical, exponential, and logarithmic functions. (Graphing calculator required.) |
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| MATH 116E |
COLLEGE ALGEBRA |
3 HOURS GEN ED D2 |
Corequisites: MATH 106, Academic Support for MATH 116E
Prerequisites: High school Algebra I and II and a satisfactory score on
Math Placement Exam; or MATH 096 with a grade of C or better. (Student must enroll in Math 116E if his/her: (1) Math 096 grade was C; or (2) previous Math 116 grade was D,F, or W; or (3) Math ACT and MPE scores indicate need for enhanced version.)
Special requirement: Students who withdraw from MATH 106 must also withdraw from MATH 116E.
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| MATH 117 |
TRIGONOMETRY |
3 HOURS GEN ED D2 |
Prerequisites: Four years of high school mathematics including Algebra I and II and geometry, and satisfactory score on Math Placement Exam; or MATH 116 with a grade of C or better.
Unit circle; trigonometric functions and graphs; trigonometric identities and equations; right triangle trigonometry; laws of sines and cosines; DeMoivre's Theorem; vectors and applications of trigonometry. (Graphing calculator required.) |
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| MATH 118 |
COLLEGE ALG/TRIG |
5 HOURS GEN ED D2 |
Prerequisites: High school Algebra I and II and geometry, and satisfactory score on Math Placement Exam; or MATH 096 with a grade of C or better. (Students who have completed MATH 096 are urged to substitute MATH 116-117 for MATH 118.)
Real number system, algebraic manipulations, and solutions of equations and inequalities, absolute value, exponential and logarithmic functions, trigonometry, systems of equations, complex numbers. (Graphing calculator required.) |
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| MATH 119 |
FUND OF CALCULUS |
4 HOURS GEN ED D2 |
Prerequisites: Four years of high school mathematics, including Algebra I and II and geometry, and satisfactory score on Math Placement Exam; or MATH 116 or MATH 118, with a grade of C or better.
An introduction to calculus designed for non-science and non-technical majors. Applications are directed toward the management sciences and related areas. Not accepted for credit toward a mathematics major or minor. (Graphing calculator required.) |
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| MATH 121 |
COMPUTATIONAL PROBLEM SOLVING |
4 HOURS |
Prerequisite: Enrollment in Gatton Academy of Mathematics and Science in Kentucky
Equivalent Course: CS 121
Students will tackle problems ranging from elementary to advanced, using mathematical methods, algorithmic techniques, and computational methods. This course is taught jointly by mathematics and computer science faculty; it is equivalent to CS 121 |
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| MATH 122 |
CALCULUS SINGLE VARIABLE I |
3 HOURS GEN ED D2 |
Pre-requisites: Four years of high school mathematics, including Algebra II, geometry and trigonometry, and satisfactory score on Math Placement Exam; or MATH 117 or MATH 118, with grade of C or better.
Introductory analytic geometry and differential calculus. First course of a three-course sequence presenting a unified development of analytical geometry, differential and integral calculus, and series. (Graphic calculator required.)
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| MATH 126 |
CALC/ANALY GEO I |
4.5 HOURS GEN ED D2 |
Prerequisites: Four years of high school mathematics, including Algebra II, geometry, and trigonometry, and satisfactory score on Math Placement Exam; or MATH 117 or MATH 118, with grade of C or better.
This is the first of a sequence of courses which present a unified treatment of plane and solid analytic geometry and differential and integral calculus. (Graphing calculator required.) |
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| MATH 132 |
CALCULUS SINGLE VARIABLE II |
3 HOURS |
Pre-requisite: Math 122 with a grade of C or better.
Integral calculus. Second course of a three-course sequence presenting a unified development of analytical geometry, differential and integral calculus, and series. (Graphing calculator required.)
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| MATH 142 |
CALC WITH APPS FOR LIFE SCI |
5 HOURS GEN ED D2 |
Prerequisites: Four years of high school mathematics, including
Algebra I and II, Geometry, and a course that includes trigonometry, and satisfactory Math ACT and math placement scores; or MATH 118 or MATH 117 with a grade of C or better.
Exponential and logarithmic functions, derivatives, integration, first order differential equations, and systems of linear equations, with major emphasis on applications in life sciences. |
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| MATH 175 |
UNIVERSITY EXPERIENCE-MATH |
2 HOURS |
Pre-requisites: For beginning college freshmen or transfer students with fewer than 24 hours of credit.
Transition to university experience. Topics include study skills, critical thinking skills, library education, exploration of majors and careers, degree programs, campus resources, and personal development. Specific degree requirements for a major in mathematics and career opportunities in mathematics are also discussed. |
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| MATH 203 |
STATISTICS |
3 HOURS GEN ED D2 |
Prerequisite: MATH 116 or MATH 118 or permission of instructor.
Introduction to elementary probability theory. The analysis of data by means of frequency distributions and the statistics which describe them. The binomial and normal probability distributions. Statistical inference. Emphasis is on applied real world problems. Not accepted for credit toward a mathematics major or minor. |
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| MATH 205 |
NUMBER SYS & NUMBER THRY FOR TEACHERS |
3 HOURS |
Prerequisite: Completion of general education math course with a grade of C or better; for students in early grades (K-5), middle grades (5-9) or EXED teacher certification programs only.
Development of conceptual understanding of elementary place value, operations on whole numbers and integers, number theory, basic algebra, and functions. |
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| MATH 206 |
FUNDAMENTALS OF GEOMETRY FOR TEACHERS |
3 HOURS |
Prerequisite: Completion of general education math course and MATH 205 with grades of C or better; for students in early grades (K-5), middle grades (5-9) or EXED teacher certification programs only.
Conceptual of fundamental concepts of geometry and measurement. |
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| MATH 211 |
MATH/ELEM TCHR I |
3 HOURS |
Prerequisite: Completion of general education math requirement with a grade of C or higher. (For students in the early grades (K-5) teacher certification program or students pursuing middle grades (5-9) certification with a mathematics emphasis.)
Elementary work with relations, systems, and introductions to computers, probability, and statistics. |
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| MATH 212 |
MATH/ELEM TCHR II |
3 HOURS |
Prerequisite: MATH 211 with a grade of C or better. (For students in the early grades (K-4) teacher certification program or students pursuing middle grades (5-8) certification with a mathematics emphasis.)
Construction geometry, motion geometry, nonmetric geometry, measurement including the metric system, and introductions to computers, probability, and statistics. |
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| MATH 213 |
LAB/MATH ELEM TCH I |
1 HOURS |
Co-requisite: MATH 211.
Hands-on laboratory, using manipulatives and problem-solving techniques to strengthen mathematical vocabularies and deepen understanding of topics from MATH 211. |
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| MATH 214 |
LAB/MATH ELEM TCH II |
1 HOURS |
Co-requisite: MATH 212.
Hands-on laboratory, using manipulatives and problem-solving techniques to strengthen mathematical vocabularies and deepen understanding of topics from MATH 212. |
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| MATH 227 |
CALC/ANAL GEOM II |
4.5 HOURS |
| Prerequisite: MATH 126 with a grade of C or better. |
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| MATH 232 |
CALCULUS SINGLE VARIABLE III |
3 HOURS |
Pre-requisite: Math 132 with a grade of C or better.
Sequences, series, parametric equations and polar coordinates, applications using technology. Third course of a three-course sequence presenting a unified development of analytical geometry, differential and integral calculus, and series. (Graphing calculator required.) |
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| MATH 275 |
INTRODUCTORY TOPICS IN MATH |
1-3 HOURS |
Prerequisite: MATH 126 and permission of instructor.
Varied topics selected to give students an early introduction to interesting mathematical problems or applications not found in the foundation sequence. |
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| MATH 295 |
INTRO RESEARCH METHOD |
1 HOURS |
Prerequisite: Ogden Research Scholar, or 3.2 grade point average at the end of freshman year or OCSTH faculty member recommendation.
To familiarize Ogden Research Scholars and other interested students with the fundamentals of choosing a research topic, performing a bibliographical search on a subject, classification of instruments, data taking, data reduction, professional ethics and related topics. The common points of research methodology in the different scientific areas will be emphasized, with examples drawn from various disciplines. Computers will be utilized. (Course does not count toward any major or minor.) |
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| MATH 304 |
FUNCTIONS, APPLICATIONS AND EXPLORATIONS |
3 HOURS |
Prerequisite: MATH 126.
In-depth study of mathematical topics that are used in teaching pre-calculus and transition-to-calculus courses at the secondary school level. Modeling with linear, exponential, and trigonometric functions; curve fitting; discrete and continuous models. |
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| MATH 305 |
INTRO TO MATH MODEL |
3 HOURS |
Prerequisite: MATH 227 or MATH 232.
Theory and computer implementation of mathematical models. Deterministic, stochastic, discrete, continuous, and matrix models. Introduction to advanced topics such as linear algebra, differential and difference equations, probability, stochastic processes, and dynamical systems. |
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| MATH 307 |
INTRO TO LINEAR ALG |
3 HOURS |
Prerequisite: MATH 227 or MATH 232.
Systems of linear equations, matrix algebra, vector spaces, inner product spaces, linear transformations, eigenvectors, quadratic forms. |
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| MATH 308 |
RATIONAL NUMBERS & DATA ANAL FOR TEACHERS |
3 HOURS |
Prerequisite: Completion of MATH 206 with a grade of C or better; for students in early grades
(K-5), middle grades (5-9) or EXED teacher certification programs only.
Conceptual development of rational number system, including operations with and relationships among fractions, decimals, and percents; elementary probability and statistics. |
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| MATH 310 |
INTRO TO DISCRETE MA |
3 HOURS |
Prerequisite: MATH 227 or MATH 232.
Introduction to discrete topics. Development of skills in abstraction and generalization. Set theory, functions and relations, mathematical induction, elementary propositional logic, quantification, truth tables, validity; counting techniques, pigeonhole principle, permutations and combinations; recurrence relations and generating functions; elementary graph theory, isomorphisms, trees. |
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| MATH 315 |
THEORY OF NUMBERS |
3 HOURS |
Prerequisite: MATH 307.
A study of the arithmetic of the integers, divisibility, prime numbers, factorization, diophantine equations, congruences, quadratic residues. |
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| MATH 317 |
INTRO ALG SYSTEMS |
3 HOURS |
Prerequisites: MATH 307 and MATH 310.
Introduction to groups, rings, polynomial rings, integral domains, and fields. |
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| MATH 323 |
GEOMETRY I |
3 HOURS |
Prerequisite: MATH 307 or permission of instructor.
Beginning with a re-examination of elementary Euclidean geometry, the course includes a study of absolute plane geometry and the parallel postulate, which leads to an axiomatic treatment of hyperbolic geometry and related topics. |
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| MATH 327 |
MULTIVAR CALCULUS |
4 HOURS |
Prerequisite: MATH 227 or MATH 232.
Topics in real-valued functions of several variables including directional derivatives, implicit functions, gradient, Taylor's Theorem, maxima, minima, and Lagrange multipliers. Differential calculus of vector-valued functions including chain rule and Inverse Function Theorem. Multiple integrals, line integrals, surface integrals, Stokes' and Green's Theorems. |
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| MATH 329 |
PROBAB/STAT I |
3 HOURS |
Prerequisites: MATH 307 and MATH 310.
Axioms and laws of probability; discrete and continuous probability distributions; multivariate distributions; random variables; expectation; moment generating functions; Central Limit Theorem. |
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| MATH 331 |
DIFFERENTIAL EQNS |
3 HOURS |
Prerequisite: MATH 227 or MATH 232. (Recommended corequisite: MATH 307.)
Methods of solution of differential equations, existence and nature of solutions, systems of differential equations, applications, and numerical solutions. |
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| MATH 350 |
ADV ENGINEERING MATH |
3 HOURS |
Prerequisite: MATH 331 or equivalent.
Special topics in Laplace transforms, linear algebra and complex analysis. Designed for engineering students. |
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| MATH 398 |
SEMINAR - MATHEMATICS |
1 HOURS |
(May be repeated for up to a total of 3 hours credit.)
Prerequisite: MATH 327.
Students will work on a topic of interest under the direction of a mathematics faculty member, who will set the requirements for the course. Mathematics majors could have the opportunity to continue this work in MATH 498. |
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| MATH 403 |
GEOM EL/MID TCHRS |
3 HOURS |
Prerequisites: MATH 211 and 212. (For students in the early grades (K-4) teacher certification program or students pursuing middle grades (5-8) certification with a mathematics emphasis.)
Both formal and informal methods are used to explain the basic concepts of Euclidean geometry. Emphasis is given to the investigative approach, organizational skills, and problem solving. |
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| MATH 403G |
GEOM EL/MID TCHRS |
3 HOURS |
Prerequisites: MATH 211 and MATH 212, or equivalent. (For students enrolled in elementary or middle grades graduate programs.)
Both formal and informal methods are used to explain the basic concepts of Euclidean geometry. Emphasis is given to the investigative approach, organizational skills, and problem solving. (Not applicable for the M.S. degree in Mathematics or the M.A.E. degree in Secondary Education.) |
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| MATH 405 |
NUMERICAL ANALY I |
3 HOURS |
Prerequisites: MATH 307 or 310 or 327, and CS 230 or CS 240 or permission of instructor.
Computer arithmetic, roots of equations, polynomial approximation and interpolation, numerical differentiation and integration. Computer solutions of problems will be required. |
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| MATH 405G |
NUMERICAL ANALY I |
3 HOURS |
Prerequisites: MATH 307 or 310 or 327; and CS 230 or CS 240 or permission of instructor.
Computer arithmetic, roots of equations, polynomial approximation and interpolation, numerical differentiation and integration. Computer solutions of problems will be required. |
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| MATH 406 |
NUMERICAL ANALY II |
3 HOURS |
Prerequisites: MATH 307, 327, 331, and either MATH 405 or CS 405.
The solution of linear systems by direct and iterative methods, matrix inversion, the calculation of eigenvalues and eigenvectors of matrices. Initial and boundary value problems in ordinary differential equations. Computer solution of problems will be required. |
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| MATH 406G |
NUMERICAL ANALY II |
3 HOURS |
| Prerequisites: MATH 307, 327 and 331; and either MATH 405 or CS 405.The solution of linear systems by direct and iterative methods, matrix inversion, the calculation of eigenvalues and eigenvectors of matrices. Initial and boundary value problems in ordinary differential equations. Computer solution of problems will be required. |
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| MATH 409 |
HISTORY OF MATHEMATICS |
3 HOURS |
Prerequisite: Six hours of approved mathematics courses at the 300 and/or 400 level or permission of instructor.
History of mathematics from ancient times through the development of calculus, with emphasis on famous problems. Provides knowledge and appreciation useful in the classroom. This course cannot be accepted as part of the 35-hour requirement for the non-certifiable mathematics major. Term papers will be required. |
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| MATH 409G |
HISTORY OF MATHEMATICS |
3 HOURS |
Prerequisite: Graduate standing with at least 6 hours of undergraduate mathematics or permission of instructor.
History of mathematics from ancient times through the development of calculus with emphasis on famous problems. Provides knowledge and appreciation useful in the classroom. Term papers will be required. (Not applicable to the M.S. degree in Mathematics). |
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| MATH 411 |
PROB SOLV EL/MG TCH |
3 HOURS |
Prerequisites: MATH 403 or MATH 323 or permission of instructor.
Integrates concepts developed in algebra, geometry, logic, statistics, probability, and elementary number theory. Students are encouraged to use problem-solving strategies, models, and technologies, and to create problems of their own. |
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| MATH 411G |
PROB SOLV EL/MG TCH |
3 HOURS |
Prerequisites: MATH 403 or MATH 323 or permission of instructor.
Integrates concepts developed in algebra, geometry, logic, statistics, probability, and elementary number theory. Students are encouraged to use problem-solving strategies, models, and technologies, and to create problems of their own. (Not applicable to the M.S. degree in Mathematics or the M.A.E. in Secondary Education.) |
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| MATH 413 |
ALG/TECH FOR MIDDLE SCHOOL |
3 HOURS |
Prerequisite: MATH 212 or equivalent.
The use of graphing calculators and computer software to explore algebraic ideas including patterns, functions, equations, inequalities, linear programming, curve fitting, and practical applications of algebra and technology. |
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| MATH 413G |
ALG/TECH FOR MID GRADES TCHRS |
3 HOURS |
Prerequisite: MATH 212 or equivalent and graduate standing.
The use of graphing calculators and computer software to explore algebraic ideas including patterns, functions, equations, inequalities, linear programming, curve fitting, and practical applications of algebra and technology. (Not applicable to the M.S. degree in Mathematics or the M.A.E. degree in Secondary Education.) |
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| MATH 415 |
ALG/NUMBER THEORY |
3 HOURS |
Prerequisite: MATH 315 or 317.
An integrated survey of modern algebra and number theory. Topics include number systems, divisibility, congruences, groups and their application to number theory. |
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| MATH 415G |
ALG/NUMBER THEORY |
3 HOURS |
| Prerequisite: MATH 315 or 317.Survey of modern algebra and number theory. Includes number systems, divisibility, congruences, groups and their application to number theory. |
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| MATH 417 |
ALGEBRAIC SYSTEMS |
3 HOURS |
Prerequisite: MATH 317.
Theory of groups. |
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| MATH 417G |
ALGEBRAIC SYSTEMS |
3 HOURS |
| Prerequisite: MATH 317.Theory of groups. |
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| MATH 421 |
PROB SOLV SEC TCH |
3 HOURS |
Prerequisite: MATH 307 and 310; MATH 329 and 323, or permission of instructor.
Utilizes various techniques and technology to solve mathematical problems. Integrates concepts from algebra, geometry, trigonometry, probability, statistics, number theory, discrete mathematics, linear algebra, and calculus. |
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| MATH 421G |
PROB SOLV SEC TCH |
3 HOURS |
Prerequisites: MATH 307 and MATH 310; MATH 329 and MATH 323, or permission of instructor.
Utilizes various techniques and technology to solve mathematical problems. Integrates concepts from algebra, geometry, trigonometry, probability, statistics, number theory, discrete mathematics, linear algebra, and calculus. (Not applicable to the M.S. degree in mathematics). |
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| MATH 423 |
GEOMETRY II |
3 HOURS |
Prerequisite: MATH 323.
An axiomatic development of hyperbolic geometry based on the hyperbolic parallel postulate and the absolute geometry developed in MATH 323, including an emphasis on contrasts with Euclidean geometry. |
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| MATH 423G |
GEOMETRY II |
3 HOURS |
| Prerequisite: MATH 323.An axiomatic development of plane hyperbolic geometry which presupposes a development of absolute geometry. |
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| MATH 429 |
PROBAB/STATS II |
3 HOURS |
Prerequisite: MATH 327 and MATH 329.
Multivariate probability distributions; sampling distributions, statistical inference; point and interval estimation, properties of estimators; hypothesis testing; regression and correlation; analysis of variance; non-parametric methods. |
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| MATH 429G |
PROBAB/STATS II |
3 HOURS |
| Prerequisite: MATH 327, 329.Multivariate probability distributions; sampling distributions, statistical inference; point and interval estimation, properties of estimators; hypothesis testing; regression and correlation; analysis of variance; non-parametric methods. |
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| MATH 431 |
INTER ANALYSIS I |
3 HOURS |
Prerequisite: MATH 317.
Topics chosen from cardinality, limits, continuity, elementary topological concepts, sequences and series, differentiation and integration, elementary functional analysis. |
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| MATH 431G |
INTER ANALYSIS I |
3 HOURS |
| Prerequisite: MATH 317.Topics chosen from cardinality, limits, continuity, elementary topological concepts, sequences and series, differentiation and integration, elementary functional analysis. |
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| MATH 432 |
INTER ANALYSIS II |
3 HOURS |
Prerequisite: MATH 431.
Continuation of MATH 431. |
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| MATH 432G |
INTER ANALYSIS II |
3 HOURS |
| Prerequisite: MATH 431.Continuation of MATH 431. |
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| MATH 435 |
PARTIAL DIFF EQNS |
3 HOURS |
Prerequisites: MATH 307, 327 and 331.
Equations of first and second order; elliptic, hyperbolic and parabolic equations; Sturm-Liouville theory; applications to equations of mathematical physics using separation of variables and Fourier series. |
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| MATH 435G |
PARTIAL DIFF EQNS |
3 HOURS |
| Prerequisites: MATH 307, 327, and 331.Equations of first and second order; elliptic, hyperbolic and parabolic equations of mathematical physics using separation of variables and Fourier series. |
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| MATH 439 |
TOPOLOGY I |
3 HOURS |
Effective Fall 2009
Prerequisite: MATH 317 or permission of instructor.
Introduction to topology including topics selected from: topological spaces, mappings, homeomorphisms, metric spaces, surfaces, knots, manifolds, separation properties, compactness and connectedness. |
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| MATH 439G |
TOPOLOGY I |
3 HOURS |
Effective Fall 2009
Prerequisite: MATH 317 or permission of instructor.
Introduction to topology including topics selected from: topological spaces, mappings, homeomorphisms, metric spaces, surfaces, knots, manifolds, separation properties, compactness and connectedness. |
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| MATH 450 |
COMPLEX VARIABLES |
3 HOURS |
Prerequisite: MATH 327.
Complex number plane, analytic functions of a complex variable, integration, power series, calculus of residues, conformal representation, applications of analytic function theory. |
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| MATH 450G |
COMPLEX VARIABLES |
3 HOURS |
| Prerequisite: MATH 327.Complex number plane, analytic functions of a complex variable, integration, power series, calculus of residues, conformal representation, applications of analytic function theory. |
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| MATH 470 |
INTRO TO OPERAT RES |
3 HOURS |
Prerequisite: MATH 307 and 327 or permission of instructor.
Principles and techniques of operations research including linear programming, integer programming, quality theory, sensitivity analysis, and dynamic programming. |
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| MATH 470G |
INTRO TO OPERAT RES |
3 HOURS |
Prerequisite: MATH 307 and 327 or permission of instructor.
Principles and techniques of operations research including linear programming, integer programming, quality theory, sensitivity analysis, and dynamic programming. |
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| MATH 475 |
SEL TOPICS MATH |
1-3 HOURS |
Prerequisite: Permission of instructor.
A consideration of special topics to acquaint the advanced undergraduate student with significant problems and developments of current interest in mathematics. Topics may vary each semester offered. |
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| MATH 475G |
SEL TOPICS MATH |
1-3 HOURS |
| Prerequisite: Permission of instructor. Significant problems and developments of current interest. |
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| MATH 490 |
SEMINAR IN MIDDLE GRADES MATHEMATICS |
3 HOURS |
Prerequisite/Corequisite: MATH 411.
Hands-on activities emphasize connections among various areas of mathematics; communicating mathematics effectively and applications of middle school mathematics. Papers and oral presentations are required.. |
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| MATH 498 |
SENIOR SEMINAR |
1 HOURS |
** EFFECTIVE SPRING 2009 **
Prerequisites: MATH 317 and MATH 327 and senior standing, or permission of instructor.
Recommended prerequisite: MATH 398
Students will study articles in current mathematical journals or undertake independent investigations in mathematics. Written and oral presentations will be required. |
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| MATH 500 |
READINGS IN MATH |
1-3 HOURS |
Prerequisite: Undergraduate major in mathematics.
Students read and present papers that have appeared in (or have been accepted by) mathematical journals. Topics covered are determined by areas of interest. |
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| MATH 501 |
INTRO PROB/STAT I |
3 HOURS |
Prerequisite: Permission of instructor.
Interpreting and analyzing univariate and bivariate data; data collection; planning and conducting experiments; probability and sampling distributions; statistical inference. (Not applicable to the M.S. degree in Mathematics.) |
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| MATH 502 |
INTRO PROB/STAT II |
3 HOURS |
Prerequisite: MATH 203 or 329 or 501; or permission of instructor.
Review of linear algebra, Markov chains, decision theory, linear programming and game theory. |
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| MATH 503 |
INTRO TO ANALYSIS |
3 HOURS |
| Examination of selected topics in elementary calculus including sequences, series, limits, continuity, the derivative, and the Riemann integral. Introductory material includes logic, set theory, and functions. |
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| MATH 504 |
COMP APP PROB MAT |
3 HOURS |
| Computer techniques and solutions of problems in mathematics including calculus, applied statistics, simulation, linear programming, game theory and linear algebra. |
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| MATH 507 |
MATH CONCEPTS FOR ELEM TEACHER |
3 HOURS |
Prerequisites: MATH 211 and MATH 212 or permission of instructor.
Description: Course intended for graduate students in Elementary Education only. Focuses on mathematics and strategies to effectively teach Kentucky Mathematics Core Content in grades K-5.
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| MATH 508 |
NUMBER CONCEPTS ELEM/MID TEACH |
3 HOURS |
Prerequisites: Math 211 and Math 212 or permission of instructor
Mathematical structures of integers and rational numbers; numeration systems; elementary number theory; special sequences and numerical of relationships; applications of fractions, decimals, percents, ratio, proportion, exponents, and scientific notation. (Not applicable to M.S. degree in Mathematics or M.A.E. degree in Secondary Education.)
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| MATH 509 |
HIST MODERN MATH |
3 HOURS |
Prerequisite: MATH 227 or permission of the instructor.
History and development of mathematics since the 18th century with an emphasis on important problems and famous mathematicians. (Not applicable to the M.S. degree in mathematics). |
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| MATH 511 |
SEC MATH ADV PERSPECTIVE I |
3 HOURS |
| Intended for teachers wishing to develop a deeper understanding of high school algebra and calculus. Examines links among different fields of mathematics and connections among high school, mathematics, college mathematics and higher mathematics. (Not applicable to the M.S. degree in Mathematics, general option.) |
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| MATH 512 |
SEC MATH ADV PERSPECTIVE II |
3 HOURS |
Prerequisites: Mathematics major, mathematics minor or permission of instructor.
Description: Intended for teachers wishing to develop a deeper understanding of underlying concepts of geometry. Examines relationships among different fields of mathematics and connections among high school mathematics, college mathematics and higher mathematics. (Not applicable to the M.S. degree in Mathematics). |
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| MATH 514 |
APP MODELING SEC TCHR |
3 HOURS |
Prerequisites: Mathematics major, mathematics minor, or permission of the instructor.
Description: Utilizes concepts from many fields of mathematics to explore how high school and college mathematics are used in real world settings. Intended for secondary teachers. (Not applicable to the M.S. degree in Mathematics.) |
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| MATH 517 |
TOPICS FROM ALG |
3 HOURS |
| Prerequisite: MATH 417.Theory of rings, fields, and vector spaces. Topics include: polynomial rings, principal ideal domains, unique factorization domains, field extensions, Galois theory. |
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| MATH 523 |
TOPICS FROM GEOM |
3 HOURS |
| Prerequisite: Undergraduate geometry and permission of instructor. Geometry of special lines and points, isometrics, similarities, inversion, applications. |
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| MATH 529 |
APPLIED PROBABILITY |
3 HOURS |
Prerequisites: MATH 431 or MATH 327, and permission of instructor.
Axiomatic development of the theory of probability. Introduction to Markov chains, random variables, distributions, transformations. Limit theorems and various modes of convergence. |
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| MATH 530 |
MATH STATISTICS |
3 HOURS |
| Prerequisite: MATH 529.Statistical inference. Point estimates and their properties; Bayes estimates, Cramer-Rao inequality, interval estimates, hypothesis testing, linear models, analysis of variance, non-parametric inference. |
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| MATH 531 |
ADV DIFF EQNS |
3 HOURS |
| Prerequisites: MATH 331, 431.Power series solutions, existence and uniqueness theorems, stability and Liapunov's method, regular singular points, perturbations of periodic solutions. |
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| MATH 532 |
REAL ANALYSIS |
3 HOURS |
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|
| MATH 535 |
ADV APPL MATH I |
3 HOURS |
|
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| MATH 536 |
ADV APPL MATH II |
3 HOURS |
|
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| MATH 539 |
TOPOLOGY II |
3 HOURS |
| Prerequisite: MATH 439.Homotopy, homology theory. |
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| MATH 540 |
STOCHASTIC PROCESSES |
3 HOURS |
| Theory and application of stochastic processes; random walks; Markov chains; Poisson processes; birth and death processes; queues; renewal and branching processes; computer simulations. |
|
| MATH 541 |
GRAPH THEORY |
3 HOURS |
| Prerequisite: Undergraduate major in mathematics or permission of instructor. Introduction to the basic concepts of graph theory. Topics include Eulerian circuits, Hamiltonian cycles, coloring problems and planar graphs. |
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| MATH 542 |
ADV DISCRETE MATH |
3 HOURS |
Prerequisites: MATH 310 and Math 317
Description: Combinatorics, ordered sets and lattice theory, modeling with difference equations, discrete calculus, dynamic equations on time scales. |
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| MATH 550 |
COMPLEX ANALYSIS |
3 HOURS |
| Prerequisites: MATH 432, 450.Analytic continuation, conformal mapping, Riemann surfaces, and univalent functions. |
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| MATH 560 |
FUNCT ANALYSIS |
3 HOURS |
| Prerequisite: MATH 432.Theory of abstract linear spaces. Topics include: normed vector spaces, inner product spaces, Hilbert spaces, open mapping and closed graph theorems, Banach-Steinhaus theorem, weak and weak-*topologies. |
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| MATH 570 |
TOP OPERATION RES |
3 HOURS |
Prerequisites: MATH 432, 470, or consent of instructor.
Specific area(s) of operations research. |
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| MATH 590 |
SPEC TOPICS IN MATHEMATICS |
3 HOURS |
| Prerequisite: Permission of instructor. |
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| MATH 599 |
THESIS/RESEARCH |
1-6 HOURS |
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| MATH 600 |
MAINTAINING MATRIC |
1-6 HOURS |
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| STAT 301 |
PROB/APPLIED STAT |
3 HOURS |
Prerequisite: MATH 126 or MATH 132.
A calculus based introduction to applied statistics, with emphasis on analysis of real data. Curve fitting, probability models, estimation and testing for means and proportions, quality control; use of computers for data analysis and simulation. |
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| STAT 330 |
INTRO TO STATISTICAL SOFTWARE |
3 HOURS |
Prerequisites: 3 hours of undergraduate statistics and junior standing or consent of instructor.
Using proprietary and open-source statistical software for data analysis. Interactive techniques for data management, manipulation and transformation. Interactive techniques for data error checking, descriptive statistics, basic inferential statistics, and basic report generation such as tabular and graphical displays. Introduction to scripts and batch processsing when applicable. Proper use and interpretation of themethods are emphasized. |
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| STAT 549 |
STAT METH I |
3 HOURS |
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