| MATH 6110 | Foundations of Mathematics (3-0-3) | |||
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| A study of logic, set theory, cardinality, the Axiom of Choice and its equivalences. Semester to be offered: To be arranged. Prerequisite: Admission to graduate program and at least the equivalent of a minor in mathematics in undergraduate program or permission of instructor. | ||||
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| MATH 6211 | Abstract Algebra I (3-0-3) | |||
| An advanced study of group theory and ring theory. Semester to be offered: To be arranged. Prerequisite: MATH 6110 and MATH 4211 (or equivalent) or permission of instructor. | ||||
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| MATH 6212 | Abstract Algebra II (3-0-3) | |||
| Further study of advanced ring theory. An advanced study of field theory including extension fields and Galois theory. Semester when offered: To be arranged. Prerequisite: MATH 6211 or permission of instructor. | ||||
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| MATH 6250 | Mathematical Statistics (3-0-3) | |||
| A detailed study of descriptive statistics, probability, discrete and continuous random variables and their distributions and moments, bivariate and multivariate distributions, central limit theorem, estimation, hypothesis testing and regression and correlation. Semester when offered: To be arranged. Prerequisite: Admission to graduate program or permission of instructor. | ||||
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| MATH 6280 | Linear Algebra (3-0-3) | |||
| A study of vector spaces, modules, linear transformations, matrices and linear systems. Semester when offered: To be arranged. Prerequisite: Admission to graduate program or permission of instructor. | ||||
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| MATH 6320 | Advanced Number Throry (3-0-3) | |||
| A brief survey of divisibility and primes followed by in-depth study of congruences, residues, Diophantine Equations, numbertheoretic functions, Farey and continued fractions, Pell's Equation, and algebraic numbers. Semester when offered: To be arranged. Prerequisite: Admission to graduate program and MATH 4320 or permission of instructor. | ||||
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| MATH 6360 | Mathematics Curriculum (3-0-3) | |||
| The study of the mathematics curriculum in the secondary school and the effects of research and technology on this curriculum. Semester when offered: TBA. Prerequisite: Permission of instructor. | ||||
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| MATH 6420 | Introduction to the Theory of Graphs (3-0-3) | |||
| A study of graphs, subgraphs, paths, arcs, trees, circuits, digraphs, colorability. Normally offered fall semester, even years. Prerequisite: Admission to graduate program and MATH 3030 or permission of instructor. | ||||
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| MATH 6460 | Strategies for Teaching Mathematics (3-0-3) | |||
| A study of contemporary learning theories as they relate to secondary mathematics, and teaching strategies including technology and other aids. Semester when offered: To be arranged. Prerequisite: Admission to graduate program or permission of instructor. | ||||
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| Augusta State University Catalog | 319 | |||
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