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Course Criteria
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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
The study of the mathematics curriculum in the secondary school and the effects of research and technology on this curriculum.
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3.00 Credits
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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3.00 Credits
A study of graphs, subgraphs, paths, arcs, trees, circuits, digraphs, colorability.
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3.00 Credits
A study of contemporary learning theories as they relate to secondary mathematics and teaching strategies including technology and other aids.
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3.00 Credits
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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3.00 Credits
Further study of general topology including applications to Euclidean spaces, surfaces, topological invariants, continuous functions and homeomorphisms.
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