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MA 341: Theory of Computation
3.00 Credits
Butler University
Basic theoretical principles of computer science that are embodied in formal lanaguages automata, compatability and computational complexity.? Includes regular expressions, context-free grammars, and Turing machines, Church's thesis and unsolvability. Prerequisites: MA 206 and CS 142 or equivalent. (U-G) (3 credits)
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MA 341 - Theory of Computation
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MA 351: Geometry
3.00 Credits
Butler University
Various topics from Euclidean, projective and non-Euclidean geometry. Prerequisite: MA 107. (U-G) (3 credits)
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MA 351 - Geometry
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MA 354: Topology
3.00 Credits
Butler University
Introduction to topological spaces, separation axioms, compactness, connectedness, metric and function spaces. Prerequisite: MA 326. (U-G) (3 credits)
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MA 354 - Topology
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MA 360: Probability and Statistics I
3.00 Credits
Butler University
Exploratory data analysis, general probability, random variables, standard distributions, sampling distribution theory, and estimation. Prerequisite: MA 107. (U-G) (3 credits)
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MA 360 - Probability and Statistics I
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MA 361: Probability and Statistics II
3.00 Credits
Butler University
Tests of statistical hypotheses, linear models, nonparametric methods, multivariate distributions, and theory of statistical inference. Prerequisite: MA 360. (U-G) (3 credits)
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MA 361 - Probability and Statistics II
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MA 362: Applied Statistical Methods
3.00 Credits
Butler University
Simple linear regression, correlation, multiple regression and time series. Regression topics to be discussed include dummy variables, transformations of data, and multicollinearity. Time series topics cover model identification, parameter estimation, diagnostic checking, and forecasting. Prerequisites: MA 215 and MA 361. (U-G) (3 credits)
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MA 362 - Applied Statistical Methods
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MA 365: Numerical Analysis
3.00 Credits
Butler University
Solutions of equations and systems, error analysis, numerical differentiation and integration, interpolation, least squares approximation, numerical solution of ordinary differential equations. Prerequisites: MA 107. (U-G) (3 credits)
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MA 365 - Numerical Analysis
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MA 371: Stochastic Process Models
3.00 Credits
Butler University
Markov Chains, Exponential Distribution and the Poisson Process, Continuous-Time Markov Chains, Brownian Motion. Prerequisite: MA 360. (U-G) (3 credits)
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MA 371 - Stochastic Process Models
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MA 372: Loss Models
3.00 Credits
Butler University
Models for the amount of a single payment, models for the number of payments, aggregate loss models. Prerequisite: MA 361. (U-G) (3 credits)
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MA 372 - Loss Models
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MA 395: Theory of Interest
3.00 Credits
Butler University
Compound interest and annuities, applications to problems in finance. Prerequisite: MA 107. (U-G) (3 credits)
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MA 395 - Theory of Interest
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