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Mathematics (MATH)
MATH 4513 Numerical Analysis Prerequisites: MATH 2233 and MATH 3013 with grades of "C" or better and knowledge of programming, or consent of instructor. Description: Machine computing, algorithms, and analysis of errors applied to interpolation and approximation of functions solving equations and systems of equations, discrete variable methods for integrals and differential equations. Same course as CS 4513. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4553 Linear and Nonlinear Programming Prerequisites: MATH 2163 and MATH 3013 with grades of "C " or better. Description: Linear programming, simplex methods, duality, sensitivity analysis, integer programming and nonlinear programming. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4590 Professional Practice in Mathematics Prerequisites: MATH 2163, MATH 2233, MATH 3013 and consent of instructor. Description: Experience in applying mathematical principles to solve problems encountered during employment or an internship in business, industry or government. Documentation of solutions through written and oral reports. Offered for variable credit, 1-3 credit hours, maximum of 3 credit hours. Credit hours: 1-3
MATH 4623 Abstract Algebra II Prerequisites: MATH 4613 with grade of “C” or better; grade of “B” or better recommended. Description: Continuation of MATH 4613. A rigorous treatment of ring theory including ideals, homomorphism, unique factorization domains, principal ideal domains, modules and vector spaces. Field theory and Galois theory. Honors and regular sections are offered and meet with MATH 5013. May not be used for degree credit with MATH 5013. Credit hours: 3 Contact hours: Lecture: 3
Levels: Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4663 Combinatorics Prerequisites: MATH 3013 with a grade of "C" or better.
Description: Introduction to graph theory and network theory, counting techniques, generating functions, recurrence relations, and difference equations. Previously offered as MATH 4273. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4713 Number Theory Prerequisites: MATH 3613 with a grade of "C" or better. Description: Divisibility of integers, congruencies, quadratic residues, distribution of primes, continued fractions and the theory of ideals. Previously offered as MATH 4243. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4753 Introduction to Cryptography Prerequisites: MATH 3013 and (MATH 3613 or CS 3653) with grades of "C" or better. Description: Classical and modern techniques for transmitting and managing information in the presence of eavesdroppers or adversaries and the mathematical principles on which they are based. Symmetric and asymmetric ciphers such as RSA and public key cryptography. Modular arithmetic, the factoring problem, and the discrete logarithm problem. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4813 Groups and Representations Prerequisites: MATH 3013 and MATH 3613 with grades of "C" or better, or consent of instructor. Description: An introduction to groups, group actions, symmetry groups, representations and characters. Further topics may include infinite symmetry groups, applications to chemistry and physics, finite isometry groups and geometry. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics
Contact hours: Other: 1 Levels: Undergraduate
Schedule types: Independent Study Department/School: Mathematics MATH 4603 Intermediate Abstract Algebra Prerequisites: MATH 3613 with grade of “C” or better.
Description: Introduction to groups, subgroups, homomorphisms, quotient groups. Theory of field extensions and automorphisms, introduction to Galois theory. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4613 Abstract Algebra I Prerequisites: MATH 3613 with grade of “C” or better; grade of “B” or better recommended. Description: A rigorous treatment of group theory including subgroups and quotient groups, isomorphism and homomorphism, structure theory, group actions, and the Sylow theorems. Introduction to rings, ideals, and homomorphisms. Honors and regular sections are offered and meet with MATH 5003. May not be used for degree credit with MATH 5003. Credit hours: 3 Contact hours: Lecture: 3
Levels: Undergraduate Schedule types: Lecture Department/School: Mathematics
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