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MTH 367: Statistical Methods I
3.00 Credits
University of Dayton
Probability distributions including binomial, hypergeometric, Poisson, and normal. Estimation of population mean and standard deviation: Confidence intervals and tests of hypotheses using t-, Chi-square, and F-statistics. Mathematics majors enroll in MTH 411 instead of 367. Prerequisite(s): MTH 149 or 169.
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MTH 367 - Statistical Methods I
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MTH 368: Statistical Methods II
3.00 Credits
University of Dayton
Distribution-free methods including rank tests, sign tests, and Kolmogorov-Smirnov test. Method of least squares, correlation, linear regression, analysis of variance. Design of experiments and computer applications. Mathematics majors enroll in MTH 412 instead of 368. Prerequisite(s): MTH 367.
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MTH 368 - Statistical Methods II
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MTH 370: Introduction to Higher Geometry
3.00 Credits
University of Dayton
Projective, affine, and hyperbolic geometries using synthetic and/or analytic techniques. Prerequisite(s): MTH 218, 308.
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MTH 370 - Introduction to Higher Geometry
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MTH 376: Number Theory
3.00 Credits
University of Dayton
Topics include Diophantine equations, Chinese Remainder theorem, Mobius inversion formula, quadratic residues and the Law of Quadratic Reciprocity, Gaussian integers, and integral quaternions. Prerequisite(s): MTH 218, 308.
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MTH 376 - Number Theory
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MTH 395: Development of Mathematical Ideas
3.00 Credits
University of Dayton
The evolution of mathematical ideas and techniques from ancient times to the present with emphasis on the Greek era. Famous people and famous problems. Chronological outline of mathematics in each of its branches along with applications. Prerequisite(s): MTH 218, 308.
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MTH 395 - Development of Mathematical Ideas
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MTH 403: Boundary Value Problems
3.00 Credits
University of Dayton
Introduction to the Sturm-Liouville problem. Fourier trigonometric series, Fourier integrals, Bessel functions, and Legendre polynomials. The heat equation, wave equation, and Laplace's equation with applications. Solutions by the product method. Prerequisite(s): MTH 219.
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MTH 403 - Boundary Value Problems
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MTH 404: Complex Variables
3.00 Credits
University of Dayton
Functions of a complex variable, conformal mapping, integration in the complex plane. Laurent series and residue theory. Prerequisite(s): MTH 219.
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MTH 404 - Complex Variables
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MTH 411: Probability And Statistics I
3.00 Credits
University of Dayton
Mathematical probability, random variables, Bayes' Theorem, Chebyshev's Inequality, Binomial, Poisson, and Normal probability laws, moment generating functions, limit theorems, descriptive statistics, large sample statistical inference. Prerequisite(s): MTH 218, 308.
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MTH 411 - Probability And Statistics I
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MTH 412: Probability And Statistics II
3.00 Credits
University of Dayton
Multivariate distributions, transformations of random variables, sampling distribution theory, estimation of parameters including maximum likelihood, confidence intervals, the Neyman-Pearson lemma, tests of hypotheses, likelihood ratio tests. Prerequisite(s): MTH 411.
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MTH 412 - Probability And Statistics II
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MTH 413: Probability And Statistics III
3.00 Credits
University of Dayton
Statistical decision theory, partitioning of sums of squares, analysis of variance, regression on several independent variables, multiple regression approach to analysis of variance, design of experiments. Prerequisite(s): MTH 412.
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MTH 413 - Probability And Statistics III
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