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MATH 6320: Advanced Number Theory
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
A brief survey of divisibility and primes followed by in-depth study of congruences, residues, Diophantine equations, number theoretic functions, Farey and continued fractions, Pell’s equation, and algebraic numbers.
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MATH 6320 - Advanced Number Theory
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MATH 6341: Mathematics for Early Childhood Teachers I
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
The first mathematics course required to receive the mathematics endorsement. Designed for individuals teaching mathematics in grades K-5, the course focuses on enhancing understanding of the concepts and techniques related to numbers, numeration, numerical operations, and algebraic thinking. Collaboration, critical thinking, hands-on explorations using manipulatives, problem-based inquiry, technological tools, and a variety of print and electronic resources will be used.
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MATH 6341 - Mathematics for Early Childhood Teachers I
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MATH 6342: Mathematics for Early Childhood Teachers II
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
The second mathematics course required to receive the mathematics endorsement. Designed for individuals teaching mathematics in grades K-5, the course focuses on strengthening and enhancing educator content competency in the areas of geometry, measurement and data analysis. A variety of physical and visual materials for exploration and development of geometric concepts and spatial visualization, measurement concepts and procedures, and concepts of probability and elementary data analysis will be used. Collaboration, critical thinking, problem-based inquiry, technological tools, and a variety of print and electronic resources will be used.Prerequisite(s): Completion of MATH 6341 (C or better).
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MATH 6342 - Mathematics for Early Childhood Teachers II
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MATH 6350: Numerical Analysis
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
Further study of numerical approximations and algorithms, including the solution of non-linear equations and systems of equations, numerical differentiation and integration, interpolation and approximation, and the numerical solution of initial value problems.
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MATH 6350 - Numerical Analysis
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MATH 6360: Mathematics Curriculum
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
The study of the mathematics curriculum in the secondary school and the effects of research and technology on this curriculum.
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MATH 6360 - Mathematics Curriculum
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MATH 6410: History of Mathematics
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
A study of the historical origin of mathematics. Analysis of the concepts of algebra, geometry, trigonometry, and calculus. Solution of problems pointed toward appreciation of early mathematical developments. Emphasis is placed on the development of differential and integral calculus.
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MATH 6420: Introduction to the Theory of Graphs
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
A study of graphs, subgraphs, paths, arcs, trees, circuits, digraphs, colorability.
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MATH 6420 - Introduction to the Theory of Graphs
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MATH 6460: Strategies for Teaching Mathematics
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
A study of contemporary learning theories as they relate to secondary mathematics and teaching strategies including technology and other aids.
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MATH 6460 - Strategies for Teaching Mathematics
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MATH 6510: Complex Analysis
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
A study of elementary functions of a complex variable, limits, derivatives, analytic functions, mapping by elementary functions, integrals, power series, poles, residues, applications of residues and conformal mapping.
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MATH 6510 - Complex Analysis
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MATH 6520: General Topology
3.00 Credits
Augusta State University (merged with Georgia Regents to become Augusta University)
Further study of general topology including applications to Euclidean spaces, surfaces, topological invariants, continuous functions and homeomorphisms.
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MATH 6520 - General Topology
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