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Course Criteria
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3.00 Credits
Listed as Economics 336. Prerequisite: Economics 223, 224, and Mathematics 122 or 162. Four credit hours. VULETIN
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3.00 Credits
An introduction to real analysis, with special focus on foundational issues. Prerequisite: Mathematics 122 or 162, and 274 or 275. Four credit hours. LAMBERT
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3.00 Credits
The arithmetic and calculus of complex numbers and functions. The properties of analytic functions, including Cauchy's integral theorem and formula, representation by Laurent series, residues and poles, and the elementary functions. Offered in alternate years. Prerequisite: Mathematics 122 or 162, and 274 or 275. Four credit hours.
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3.00 Credits
An introduction to the theory of numbers. Factorization and primes: unique factorization, greatest common divisors, the sequence of primes, primality testing and factoring on the computer, connections with cryptography. Congruences: linear congruences, theorems of Fermat, Euler, and Wilson, Chinese remainder theorem, quadratic residues, quadratic reciprocity law. Further topics chosen by the instructor. Offered in alternate years. Prerequisite: Mathematics 102, 121, 131, or 161. Two semesters of calculus or Mathematics 253 is recommended. Four credit hours.
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3.00 Credits
Application of mathematics to real-life problems in a variety of areas. Interpretation of existing mathematical models, analysis, and computer simulation. Formulation and development of mathematical models. Prerequisite: Mathematics 122 or 162, and 253. Four credit hours.
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3.00 Credits
Methods of designing and analyzing scientific experiments to address research questions. Emphasis on statistical thinking and applications as much as underlying mathematical structures and theory. Topics include completely randomized factorial designs, randomized block designs, Latin squares, factorial designs, and fractional factorial designs. Computer applications are integrated throughout. Formerly offered as Mathematics 398A. Prerequisite: Mathematics 212, 231, or 382. Four credit hours.
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3.00 Credits
A survey of the history of mathematics since the dawn of civilization. Original sources will be examined. The instructor may choose to focus on one theme or topic and its development throughout the history of mathematics. Prerequisite: Mathematics 274 or 275. Four credit hours. H.
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3.00 Credits
Listed as Computer Science 378. Prerequisite: Mathematics 274 or 275 or Computer Science 231 and either Mathematics 122 or 162. Four credit hours.
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3.00 Credits
A first course in probability covering axiomatic foundations, combinatorics, random variables, discrete and continuous probability distributions, special probability distributions, independence, conditional and marginal probability distributions, properties of expectations, moment generating functions, sampling distributions, weak and strong laws of large numbers, and the central limit theorem. Prerequisite: Mathematics 122 or 162. Four credit hours. O'BRIEN
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3.00 Credits
An introduction to statistical inference covering method of moments and maximum likelihood estimation, sample properties of estimators including sufficiency, consistency, and relative efficiency, Rao-Blackwell theorem, tests of hypotheses, confidence intervals, linear models, analysis of variance, and regression. Although applications are discussed the emphasis is on theory. Prerequisite: Mathematics 381. Four credit hours. O'BRIEN
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