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Mathematics (MATH)
MATH 3910 Special Studies Prerequisites: Consent of instructor. Description: Special subjects in mathematics. Offered for variable credit, 1-3 credit hours, maximum of 3 credit hours. Credit hours: 1-3
MATH 4023 Introduction to Analysis Prerequisites: MATH 2153 and MATH 3613 with grades of "C" or better, or consent of instructor. Description: An introduction to analysis of functions of one real variable emphasizing the reading and writing of mathematical proof. Basic logic, set theory, functions and relations, cardinality of sets. Structure of the real numbers, completeness, open and closed sets, compact sets. Convergence of sequences bounded and monotone sequences, subsequences. Limits of functions, continuity. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture
Contact hours: Other: 1 Levels: Undergraduate
Schedule types: Independent Study Department/School: Mathematics MATH 3933 Research Methods Prerequisites: MATH 3013 with grade of "C" or better; MATH 3613 with grade of "C" or better recommended. Description: A project-based introduction to the core methods used in mathematical research: computation, pattern recognition, conjecture, proof, and generalization. Students conduct inquiries in various mathematical areas to be selected from number theory, combinatorics, game theory, and others. Calculation and computer experimentation will be used to gather data and facilitate recognition of patterns. Written reports and oral presentation of solutions required. Credit hours: 3 Contact hours: Lecture: 3
Department/School: Mathematics MATH 4033 History of Mathematics Prerequisites: MATH 2153 with a grade of "C" or better.
Description: Historical development of mathematical ideas and methods relating to concepts of number, geometry, algebra, and other areas, from the time of the ancient Greeks through major developments in the Renaissance and 17th and 18th centuries, with a brief survey of later developments. Includes contributions from diverse cultures and individuals, and influences from astronomy and physics. The emphasis in the course will be on replicating historical techniques and relating them to contemporary practice. The course provides future secondary and college teachers with a foundation for incorporating historical perspectives in their lessons. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4063 Advanced Linear Algebra Prerequisites: MATH 3013 and MATH 3613 with grades of “C” or better; grades of “B” or better recommended. Description: A rigorous treatment of vector spaces, linear transformations, determinants, orthogonal and unitary transformations, canonical forms, bilinear and hermitian forms, and dual spaces. Honors and regular sections are offered and meet with MATH 5023. May not be used for degree credit with MATH 5023. Credit hours: 3 Contact hours: Lecture: 3
Levels: Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4003 Mathematical Logic and Computability
Prerequisites: MATH 3613 or PHIL 3003 or consent of instructor. Description: The basic metatheorems of first order logic: soundness, completeness, compactness, Lowenheim-Skolem theorem, undecidability of first order logic, Godel's incompleteness theorem. Enumerability, diagonalization, formal systems, standard and nonstandard models, Godel numberings, Turing machines, recursive functions, and evidence for Church's thesis. Same course as PHIL 4003. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4013 Calculus of Several Variables Prerequisites: MATH 2163 and MATH 3013 with grades of "C" or better. Description: Differential and integral calculus of functions of several variables, vector analysis, Stokes’ Theorem, Green’s Theorem and applications. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics
Levels: Undergraduate Schedule types: Lecture
Department/School: Mathematics MATH 4083 Intermediate Analysis Prerequisites: MATH 4023 with grade of “C” or better.
Description: Continuation of MATH 4023. Review of limits and continuity. Properties of continuous functions, uniform continuity, the derivative, the Mean Value Theorem. The Riemann integral, the Fundamental Theorem of Calculus. Infinite series, power series, pointwise and uniform convergence of series of functions. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics
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