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Course Criteria
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3.00 Credits
Basic theoretical principles embodied in formal languages, automata and computability. Even spring semester. Basic theoretical principles embodied in formal languages, automata and computability. Spring semester of even-numbered years. Prerequisite: MAT 181, MAt 165 and either CS 143 or CS 170.
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3.00 Credits
A survey of the historical development of mathematics designed to help students develop their own philosophy of mathematics as well as their answer to the question, "What is mathematics:" Even spring semester. A survey of the historical development of mathematics designed to help students develop their own philosophy of mathematics as well as their answer to the question, "What is mathematics " Spring semester of even-numbered years. Prerequisite: MAT 182.
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3.00 Credits
Topics selected to enhance the students' understanding of analysis: point set topology, metric spaces, continuity, integration theory, uniform convergence, power series. Even spring semesters. Topics selected to enhance the student's understanding of analysis: point set topology, metric spaces, continuity, integration theory, uniform convergence, power series. Spring semester of even-numbered years. Prerequisite: MAT 281.
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3.00 Credits
Continuity, differentiability, analyticity, line integration and power series within the context of the complex number system. Residues and poles, conformal mapping, analytic continuation and most of the well-known classical theorems associated with the theory of complex variables. Even fall semester. Continuity, differentiability, analyticity, line integration and power series within the context of the complex number system. Residues and poles, conformal mapping, analytic continuation and most of the well-known classical theorems associated with the theory of complex variables. Falll semester of even-numbered years. Prerequisite: MAT 381.
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3.00 Credits
This course will investigate the applications fo mathematics to areas of human endeavor where quantification is possible. The mathematical descriptions so obtained may then be used to predict future states, make logical choices and obtain a deeper understanding of the systems and phenomena under study. Differential equations and other mathematical skills will be used to investigate topics in the natural and behavioral sciences. Even fall semester.
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2.00 Credits
A two-semester course that introduces the major distributions used in classical statistics, e.g., binomial, normal and chi square, and develops the mathematical theory basic to an understanding of them. Estimation theory, hypothesis testing, regression analysis and analysis of variance will be presented, and applications will be given. MAT 410 odd fall and MAT 411 even spring. A two-semester course that introduces the major distributions used in classical statistics (e.g., binomial, normal and chi square) and develops the mathematical theory basic to an understanding of them. Estimation theory, hypothesis testing, regression analysis and analysis of variance will be presented, and applications will be given. MAT 410, fall semester of odd-numbered year, and MAT 411, spring semester of even-numbered years. Prerequisite: MAT 120; MAT 281 for MAT 410; MAT 410 for MAT 411.
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2.00 Credits
A two-semester course that introduces the major distributions used in classical statistics, e.g., binomial, normal and chi square, and develops the mathematical theory basic to an understanding of them. Estimation theory, hypothesis testing, regression analysis and analysis of variance will be presented, and applications will be given. MAT 410 odd fall and MAT 411 even spring. A two-semester course that introduces the major distributions used in classical statistics (e.g., binomial, normal and chi square) and develops the mathematical theory basic to an understanding of them. Estimation theory, hypothesis testing, regression analysis and analysis of variance will be presented, and applications will be given. MAT 410, fall semester of odd-numbered years, and MAT 411, spring semester of even-numbered years. Prerequisite: MAT 120; MAT 281 for MAT 410; MAT 410 for MAT 411.
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3.00 Credits
This course deals with the mapping operation and relations of sets, as well as other axiomatic treatment of numbers. It includes some study of groups, integral domains and fields. Fall semester. This course deals with the ampping operation and relations of sets, as well as other axiomatic treatment of numbers. It includes some study of groups, integral domains and fields. Fall semester. Prerequisite: MAT 281.
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3.00 Credits
The study of numerical methods associated with systems of linear equations, eigenvalues, polynomial and transcendental equations, and solutions of differential equations; the theory of interpolation and functional approximation; techniques of numerical differentiation and integration. Also included are the topics of least squares and nonlinear functional optimization, the analysis of types of errors, and computational speed. Compute implementation of numerical methods will be emphasized throughout the course. MAT 431 even fall, and MAT 432 odd spring. The study of numerical methods associated with systems of linear equations, eigenvalues, polynomial and transcendental equations, and solutions of differential equations; the theory of interpolation and functional approximation; techniques of numerical differentiation and integration. Also included are the topics of least squares and nonlinear functional optimization, the analysis of types of errors, and computational speed. Compute implementation of numerical methods will be emphasized throughout the course. MAT 431, fall semester of even-numbered years, and MAT 432, spring semester of odd-numbered years. Prerequisite: MAT 272 for MAT 431; MAT 431 for MAT 432.
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3.00 Credits
The study of numerical methods associated with systems of linear equations, eigenvalues, polynomial and transcendental equations, and solutions of differential equations; the theory of interpolation and functional approximation; techniques of numerical differentiation and integration. Also included are the topics of least squares and nonlinear functional optimization, the analysis of types of errors, and computational speed. Compute implementation of numerical methods will be emphasized throughout the course. MAT 431 even fall, and MAT 432 odd spring. The study of numerical methods associated with systems of linear equations, eigenvalues, polynomial and transcendental equations, and solutions of differential equations; the theory of interpolation and functional approximation; techniques of numerical differentiation and integration. Also included are the topics of least squares and nonlinear functional optimization, the analysis of types of errors, and computational speed. Compute implementation of numerical methods will be emphasized throughout the course. MAT 431, fall semester of even-numbered years, and MAT 432, spring semester of odd-numbered years. Prerequisite: MAT 272 for MAT 431; MAT 431 for MAT 432.
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