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Course Criteria
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3.00 Credits
Classical theory of probability. Sample spaces, probability and conditional probability, random variables and their distributions. Standard discrete distributions, normal distributions, moment generating functions and central limit theorems. Prerequisite: "C" orbetter in Mathematics 112. 3 semester hours
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3.00 Credits
Linear programming formulation of optimization problems, hyper planes, convex sets, linear independence, bases of vector spaces, matrix inversion, theory and computation techniques of simple. revised simplex methods, degeneracy, duality. Transportation and assignment problems, integer programming and network flows. Prerequisite: Computer Science 320, "C" or better in Mathematics323. 3 lecture hours; 3 semester hours
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3.00 Credits
Limits, continuity, differentiality, integrability. Functions of several variables, partial differentiation, implicit functions, multiple integrals, line integrals, Green's theorem. Required of mathematics majors. Prerequisite: "C" or better in Mathematics 215. 3 semester hours
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3.00 Credits
Continuation of Mathematics 347. Line and surface integrals, Green's theorem, limits, indeterminate forms, infinite series, impro-per integrals, Fourier series. Prerequisite: "C" orbetter in Mathematics 347. 3 semester hours
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1.00 - 3.00 Credits
Selected topics such as calculus of variations which are not currently in other Mathematics courses. Topics will vary from semester to semester. May be taken more than once for credit when topics are different. 1-3 semester hours
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3.00 Credits
Set theory, including the concepts of mapping and denumerable and non-denumerable sets. Study of abstract structures such as groups, rings, fields and algebras. Required of mathematics majors; Prerequisite: "C" orbetter in Mathematics 214. 3 semester hours
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3.00 Credits
This course is, in part, designed to acquaint the participants with mathematics reference works, resource materials, periodicals, and expository writings. Each student is required to write several papers and to make periodic oral presentations. Visiting speakers conduct some of the seminars. Required of mathematics majors and normally taken in the junior or senior year. Prerequisite: "C" orbetter in Mathematics 214 or permission of instructor. 3 semester hours
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3.00 Credits
Prerequisite: Permission of Division Director. 1-3 semester hours The following mathematics courses, described in the Graduate Section of the College of Science, Engineering and Technology 01233are also open to selected upperclassmen: 401, 402-Advanced Analysis for Scientists and Engineers I and II.
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3.00 Credits
Partial differential equations, Bessel functions, Legendre polynomials. Fourier series, boundary and initial value problems, topics in vector analysis, tensor analysis. Prerequisite: Math 301 (Differential Equations) and one semester of advanced calculus strongly recommended. 3 semester hours
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3.00 Credits
Functions of a complex variable conformal mapping, calculus of residues, operators. Prerequisites: Math 301 (Differential Equations) and one semester of advanced calculus, or permission of the instructor. 3 semester hours
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