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Course Criteria
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3.00 Credits
This course builds upon MA220 Linear Algebra I and introduces linear optimization and approximation methods and theory. Topics include: inner product spaces, infinite dimensional spaces, diagonalization, projections, linear programming and duality theory. Applications will be discussed. Prerequisites: "C-" or better in MA 220 and MA 241.
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3.00 Credits
This is an introduction to discrete mathematics and mathematical proof. Topics include: an introduction to logic and truth values, set theory and its relationship to numbers and numerical operations, numerical bases other than base 10, combinatorial methods including counting techniques and the Pigeon Hole principle, recursive functions, relations, modular arithmetic, and linear programming. Prerequisites: "C-" or better in MA220.
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3.00 Credits
This course is an introduction to ordinary differential equations. Topics covered will include: solving first order differential equations by direct integration, separation of variables, and substitution methods, homogeneous and non-homogeneous equations, power series methods, linear systems of differential equations, and stability conditions. Prerequisites: "C-" or better in MA241.
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3.00 Credits
This course develops skills in solving problems using professional mathematical software. The software ranges from the basic mathematical functions in EXCEL and various computational packages to the symbolic capabilities in software such as MAPLE, Mathematica or MATLAB. The course includes use of the software to generate graphics for instruction or illustration of results. Basic computer proficiency is required to take this course. Prerequisites: MA 240.
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3.00 Credits
This is an introduction to probability theory. Topics include: axioms of probability, discrete and continuous random variables, jointly distributed random variables, expected value, variance, and covariance. Further topics include: sample mean, sample variance, confidence intervals, hypothesis testing, and regression. Prerequisites: MA 241 and MA 321.
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3.00 Credits
This is an introduction to abstract algebra. Topics include: sets and types of functions corresponding to sets, the integers and their properties, modular arithmetic, equivalence classes, groups, homomorphisms, rings, integral domains, fields and polynomials. Prerequisites: "C-" or better in MA220.
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3.00 Credits
This course is a rigorous study of topics beyond the intermediate level of the calculus. It includes the real number system, point sets, basic topology of Rn functions, sequences, limits, continuity and uniform continuity, differentiation, indeterminate forms, and the Riemann integral. Prerequisites: "C-" or better in MA242 or MA 310.
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3.00 Credits
This course introduces students to concepts for effective development and evaluation of algorithms to implement mathematics. Topics such as methods of finding zeros of functions, approximation of functions by polynomials, finite differences, numerical integration, solutions of systems of linear equations, numerical solutions of differential equations, and round-off error analysis are studied. Prerequisites: "C-" or better in MA321 and MA366.
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3.00 Credits
This course is a review of topics covered in mathematics courses and mathematics education courses. The review concentrates mathematical topics that will appear on the terminal test that determines teacher certification for grades 7-12 in the State of Georgia. In addition to the review, the course provides an opportunity for teacher candidates to discuss issues that will arise in the secondary mathematics classroom. This class is for senior secondary mathematics education majors. Prerequisite: All mathematics courses in the student's plan of study except those that are taken concurrently with this course. 131
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3.00 - 6.00 Credits
A study of developmentally appropriate, effective methods and strategies for organizing and teaching P-6 music classes in a diverse society. Various approaches will be critically analyzed. The ability to write instructional objectives and lesson plans implementing a variety of activities will be emphasized, along with various assessment and evaluation techniques. Taken concurrently with ME 302P.
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