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MATH 4351-6351: Introduction to Real Analysis II
3.00 Credits
University of Memphis
Integration theory; Riemann and Lebesgue integrals; partial differentiation, implicit function theorem. PREREQUISITE: MATH 4350, or permission of instructor.
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MATH 4351-6351 - Introduction to Real Analysis II
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MATH 4361-6361: Complex Variables
3.00 Credits
University of Memphis
Complex numbers; analytic functions; Cauchy-Riemann conditions; Taylor and Laurent series; integration. PREREQUISITE: MATH 2110.
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MATH 4361-6361 - Complex Variables
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MATH 4391-6391: Partial Differential Equations I
3.00 Credits
University of Memphis
Laplace transforms; Fourier series; introduction to partial differential equations. PREREQUISITE: MATH 3120.
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MATH 4391-6391 - Partial Differential Equations I
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MATH 4392-6392: Partial Differential Equations II
3.00 Credits
University of Memphis
Methods of characteristics; Green's functions; existence and regularity of solutions of boundary value; Cauchy problems. PREREQUISITE: MATH 4391.
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MATH 4392-6392 - Partial Differential Equations II
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MATH 4402: Senior Honors Seminar
3.00 Credits
University of Memphis
In-depth study of one or more topics in mathematical sciences; emphasis on individual research and problem solving techniques; student writes and presents an Honors Thesis. PREREQUISITE: open only to senior Honors Students in mathematical sciences with permission of instructor.
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MATH 4402 - Senior Honors Seminar
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MATH 4411-6411: Topology
3.00 Credits
University of Memphis
Introductory set theory; metric spaces; topological spaces; continuous functions; separation axioms; separability and countability axioms; connectedness and compactness. PREREQUISITE: MATH 2702 and either 3242 or 4350.
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MATH 4411-6411 - Topology
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MATH 4607-6607: Introduction to SAS Programming
3.00 Credits
University of Memphis
SAS program statement syntax and flow control; selecting and summarizing observations; combing, dividing and updating SAS dataset; input tailoring and output customization; SAS built-in functions SAS Macro Language Programming and other SAS packages such as SAS/GRAPH and SAS/IML. PREREQUISITE: Introductory course in statistics.
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MATH 4607-6607 - Introduction to SAS Programming
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MATH 4611-6611: Introduction to Applied Statistics
3.00 Credits
University of Memphis
Binomial, hypergeometric, Poisson, multinomial and normal distributions, test of hypotheses, chi-square test, t-test. F-test, etc, nonparametric tests; correlation analysis. Credit earned for this course may not be applied toward requirements for the Mathematical Sciences major. Students who have a calculus background are encouraged to take MATH 4635 instead of this course. PREREQUISITE: 6 hours in mathematics at level of MATH 1710 or above (except MATH 1601).
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MATH 4611-6611 - Introduction to Applied Statistics
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MATH 4614-6614: Probability and Statistics
3.00 Credits
University of Memphis
Probability distribution; statistical methods of parameter estimation and hypothesis testing; comparisons of two population means, proportions, and variances; analysis of variance, linear models and multiple regression. Students may not receive credit for both MATH 4614 and MATH 4635. PREREQUISITE: MATH 1920 and 2701.
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MATH 4614-6614 - Probability and Statistics
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MATH 4635-6635: Introduction to Probability Theory
3.00 Credits
University of Memphis
Basic probability theory, random variables, expectation, variance, covariance, moment generating functions; binomial, hypergeometric, Poisson, geometric, negative binomial, uniform, normal, exponential, Cauchy. chi-square, t, and F distributions; central limit theorem. functions of a random variable; bivariate, marginal, and conditional distributions. NOTE: Students may not receive credit for both MATH 4614 and MATH 4635. PREREQUISITE: MATH 1920.
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MATH 4635-6635 - Introduction to Probability Theory
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