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Course Criteria
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3.00 Credits
3 Semester Hours. (Technology or programming required.) (Lab fee.) Prerequisite: MA 305, 310. Introduction to numerical methods for interpolation, evaluating roots of polynomials, systems of equations, integration, differentiation, differential equations, and approximation and error analyses.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 421. Fourier series, classical PDE's (heat, wave and Laplace's equations), and numerical methods.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 304 Calculus II. This is a calculus based introduction to probability that studies the development and analysis of probability models through the basic concepts of sample spaces, random variables, probability distributions (including distribu- tions for discrete functions like the Binomial, Hypergeometric, and Poisson, etc., and distributions for continuous functions like the Normal, Exponential, Gamma, Chi-Squared, t-distribution, and F-distribution, etc.). The course will also cover expected values of random variables, conditional probabilities, moment generating functions, and the Central Limit Theorem.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 431 Introduction to Probability. This is a calculus based introduction to statistics that studies the development and analysis of point and interval estimation of population parameters, testing hypotheses about population means, population variances, and population proportions, from one to several means/variances/proportions, including Pearson's Chi-Squared for categorical data and Analysis of Variance (ANOVA). This course also covers simple Linear Regression and analysis of the regression.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 304. Considers topics in abstract algebra, theory of equations, and various mathematical applications.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 310, 421 or equivalent. Covers techniques in vector rotation of three-space coordinates, Perron's eigenvalue theorem, date fitting by the normalization processes for multivariable function approximation, Bezier representation of polynomials for "real-time", computer graphic application, and other topics.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 305, 310. Vector operations and spaces, linear transformations, functions of several variables, limits, continuity, total differential, Jacobian, general chain rule, implicit functions, higher order derivatives, change of variables in integrals.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 450. A continuation of MA 450 with various applications of multivariate calculus.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 310, 320, 421. Covers logic and the foundation for differential and integral calculus of a function of one variable.
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3.00 Credits
3 Semester Hours. Prerequisite: MA 314 , College Geometry and SC 331, Classroom Management for Secondary Education and full standing as a student in the Teacher Education Program and senior standing at Athens State University. This course should be taken the semester prior to internship. (Taught in Fall and Spring only.) This course presents fundamental principles and techniques for the teaching and learning of secondary mathematics and is designed to prepare prospective secondary mathematics teachers to identify, cultivate, and display essential knowledge, skills, and attitudes necessary for the successful planning, teaching, and evaluating of middle and high school mathematics. The course also includes a study of selected topics in mathematics. Opportunities will be provided for the student to demonstrate techniques and methods of teaching various components of the secondary mathematics curriculum. Five days (35 hours) of field experience are required. Does not satisfy requirements for mathematics major, minor, or general studies.
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