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MAT 333: Modern Geometry
4.00 Credits
Indiana Wesleyan University
A critical study of the foundations of geometry in which Euclidean and non-Euclidean geometries are explored and compared. A sound logical basis is then built for Euclidean geometry within the framework of Hilbert's postulates. Prerequisite or co-requisite: MAT-254 or permission of the Division.
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MAT 333 - Modern Geometry
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MAT 342: Number Theory
3.00 Credits
Indiana Wesleyan University
A study of the theory of numbers that includes concepts about the fundamental theorem of arithmetic, theory of prime numbers, Diophantine equations, congruences, Euler's Theorem, and number theoretic functions. Prerequisite: MAT-223.
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MAT 342 - Number Theory
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MAT 344: Modern Abstract Algebra
3.00 Credits
Indiana Wesleyan University
An introductory study of significant algebraic structures and their properties. Introduction to group theory including cyclic groups, permutations, Lagrange's Theorem, product groups, First Isomorphism Theorem, and Finite Abelian Groups. Introduction to rings and fields, including polynomial rings and factorization. Prerequisite: MAT-342.
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MAT 344 - Modern Abstract Algebra
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MAT 353: Differential Equations
3.00 Credits
Indiana Wesleyan University
A study of ordinary differential equations including classification, theory and common solution techniques of linear equations, basic numerical and qualitative methods, power series solutions, Laplace transform methods, linear systems, and applications. Prerequisites: MAT-254 and MAT-280.
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MAT 353 - Differential Equations
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MAT 363: Mathematical Statistics I
3.00 Credits
Indiana Wesleyan University
An introduction to the theory of probability and statistics using basic concepts of probability and its laws, probability distributions for discrete and continuous random variables, mathematical expectation, and sampling theory. Multivariate probability distributions are examined, along with methods of distribution functions, transformations and moment-generating functions. Prerequisites: MAT-255.
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MAT 363 - Mathematical Statistics I
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MAT 364: Mathematical Statistics II
3.00 Credits
Indiana Wesleyan University
A continued study of the theory of probability and statistics covering sampling distributions, The Central Limit Theorem, methods of estimation, and hypothesis testing. Analysis of variance and chi-square will be derived theoretically and then applied to various designs of experiments. Prerequisite: MAT-363.
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MAT 364 - Mathematical Statistics II
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MAT 370: Statistical Research Design I
3.00 Credits
Indiana Wesleyan University
An introduction to experimental design using statistical inference as the basis for applying statistical tests to various parameters. Design of experiments will include single factor experiments using analyses of variance, randomized block and Latin Square Designs. Factorial experiments will be explored in depth, and regression techniques will be extended to include multiple regression. Prerequisite: MAT-304.
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MAT 370 - Statistical Research Design I
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MAT 371: Statistical Research Design II
3.00 Credits
Indiana Wesleyan University
A continuation of experimental design reinforcing elementary models and including complex design methods. Topics will include fixed, random and mixed models, nested experiments, and covariance analysis. A survey of factorial experiments will include split-plot designs, confounding and replication. Prerequisite: MAT-370.
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MAT 371 - Statistical Research Design II
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MAT 373: Numerical Analysis
3.00 Credits
Indiana Wesleyan University
A study of the operation, efficiency, and accuracy of numerical algorithmic processes. Topics include rates of convergence, analysis of error, solution of equations, interpolation, numerical integration and differentiation, solution of linear systems, and approximation/curve-fitting. Prerequisites: MAT-254, MAT-280 and CIS-125.
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MAT 373 - Numerical Analysis
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MAT 444: Advanced Algebra
3.00 Credits
Indiana Wesleyan University
A continuation of MAT-344 Modern Abstract Algebra. Topics include advanced group theory, theory of factorization, extension fields, Galois theory, and selected applications. Prerequisite: MAT-344.
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MAT 444 - Advanced Algebra
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