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Course Criteria
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3.00 Credits
This course is a study of algebra and functions designed to reinforce knowledge of the algebraic skills and processes taught at the middle grades level and to extend this knowledge to more advanced topics. The course includes a review of basic algebra; equations and inequalities in one variable with applications; functions and graphs with special attention to linear, quadratic, polynomial, and exponential functions; operations on functions and inverse function; and systems of equations and inequalities in two variables. This course is open only to in-service Georgia teachers.
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3.00 Credits
An exploratory approach to the study of plane, solid, analytic, transformational, spherical, and fractal geometry. Specific topics include symmetries of plane figures through rotations, reflections, and translations; construction of plane and solid figures (polygons and polyhedra); perimeter, area, surface area, and volume; triangle properties, including similarity and congruence theorems; Pythagorean Theorem; comparison of Euclidean and spherical geometry; locus of points; fractals; van Hiele levels of geometric understanding; informal and formal proof. Computer software will be used extensively. Includes a laboratory/practicum component. Required for all middle level teacher education students with a major concentration in mathematics. It is recommended that a high school level geometry course be taken prior to MATH 3010; students who have not had high school geometry should contact the Department of Mathematics for advice on remediation well in advance of registration for this course. Open to qualified students without credit for MATH 3010 by permission of the Head of the Mathematics Department. Prerequisite(s): MATH 3010.
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3.00 Credits
This course is a survey of group, ring, and field theory. Topics include algebraic structures on the integers, the real numbers, and the complex numbers; modular arithmetic; the Euclidean Algorithm; group and ring homomorphisms and isomorphisms; and field extensions with applications to constructions. Prerequisite: A grade of C or better in MATH 3005.
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3.00 Credits
This course is an introduction to multiple regression, analysis of variance, and other selected inference methods. Topics will be selected from chi-square tests, nonparametric statistical methods, analysis of variance using simple experimental designs, and multiple regression methods, including model checking, analysis of residuals, and model building. Throughout the course, real data and computer software will be utilized. Prerequisite A grade of C or better in MATH 1231 or PSYC 2105 and a grade of C or better in MATH 1241 or MATH 1501 or CHEM 2412 or BUSA 3101.
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3.00 Credits
This course provides an introduction to methods for solving ordinary differential equations. Course material will include modeling and methods of solution for linear and nonlinear first order equations, modeling and methods of solution for second and higher order linear equations and series solutions around ordinary points. Further topics (e.g. series solutions around regular singular points, Laplace transform methods and introductory methods for solving systems of ordinary differential equations) may be added at the instructor's discretion. Prerequisites: A grade of C or better in MATH 2502 and or a grade of C or better or concurrent enrollment in MATH 2140.
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3.00 Credits
This is a rigorous introduction to analysis of functions on Euclidean space. Topics include limits, continuity, sequences, series, differentiation, integration, and sequences and series of functions. Prerequisites: A grade of C or better in MATH 2503, MATH 3005.
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3.00 Credits
An applications-driven study of various topics needed in the field of information technology. Specific topics include probability and statistics, the predicate calculus, and selected concepts from discrete mathematics. Prerequisite(s): Grade of C or better in MATH 1221.
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3.00 Credits
This course is a study of extended and refined methods of mathematical problem solving. These methods will allow the use of problem-solving approaches to investigate and understand mathematical content, to apply integrated mathematical problem-solving strategies to solve problems from within and without mathematics, and to apply the processes of mathematical modeling to real-world problem situations. Problems to be solved will arise from a variety of areas including the course content of MATH 3010 and MATH 3020. Prerequisite(s): MATH 3020.
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3.00 Credits
This course is a study of mathematical topics characterized by discrete processes. The study focuses on combinatorics, the theory of graphs and trees, matrix representations, and iterative algorithms. Recursive thinking and inductive processes are emphasized through a variety of applications involving discrete mathematical models. Deductive proof is introduced through topics from logic, set theory, and graph theory; some relevant topics from the history of mathematics are explored. Prerequisite(s): MATH 3030. Prerequisite(s) or corequisite(s): MATH 4010.
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3.00 Credits
This course begins an investigation of how the theory of abstract algebra is applied to solve non-theoretical problems. Topics are selected from applications in exact computing, error correcting codes, block designs, crystallography, integer programming, cryptography and combinatorics. Students will work both singly and in groups on projects from the chosen topics. Prerequisite: A grade of C or better in MATH 3110 (C).
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