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MAT MATHEMATICS (School of Mathematical and Natural Sciences)

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105. Nature of Mathematics - 3-0-3
An exploration of mathematical ideas with an emphasis on conceptual understanding and effective thinking. Topics may include, but are not limited to, elementary number theory, infinity, mathematical aesthetics, chaos and chance.

111. Elementary Statistics - 3-0-3
Descriptive statistics, probability, random variables, probability distributions, estimation, hypothesis testing, correlation and simple linear regression. Intended to be a first course in statistics for a variety of disciplines.

120. Precalculus - 4-0-4
Designed to prepare students for the calculus. Polynomial and rational functions, theory of equations, logarithmetic and exponential functions, trigonometric functions.

145. Applied Calculus - 3-0-3
Mathematical tools using continuous and basic calculus techniques. Topics to include continuous functions, polynomials, rational functions, limits, instantaneous rates of change (derivatives) and continuous summations (integrals); applications to include area and volume calculations, related rates, minimization and maximization.

201. Calculus I - 4-0-4
An introduction to calculus including the following topics: functions; limits; continuity; derivatives and their applications; introduction to integrals; fundamental theorem of calculus; applications of the definite integral, trigonometric, logarithmic and exponential functions; and beginning integration techniques. PR: Grade of C or better in MAT 120 or CI.

202. Calculus II - 4-0-4
Continuation from MAT 201, including the following topics: additional integration techniques and further applications, indeterminate forms, improper integrals, infinite series, topics in analytical geometry, multidimensional calculus including vectors, partial derivatives, multiple integrals and applications. PR: Grade of C or better in MAT 201.

203. Multivariable Calculus - 4-0-4
Continuation from MAT 201. Multivariable calculus, including functions of several variables, vector-valued functions and applications, gradients, vector fields, line and surface integrals, Green's theorem and Stokes' theorem. PR: Grade of C or better in MAT 201.

219. Discrete Structures - 3-0-3
(See CSC 219.) Elementary logic, sets, relations, functions, sequences, linear systems, introduction to graphs and trees, counting principles and recurrence.

220. Mathematics for Teachers P-8 - 3-0-3
Development of numeration systems, number sense and number relationships, concepts of whole-number and rational-number operations, number theory, estimation, statistics and probability. Modeling of effective mathematical pedagogy for children, emphasizing the development of patterns and relationships and the view of mathematics as solving problems, communicating, reasoning and making connections. PR: majors in early childhood or middle-grades education and sophomore standing or CI.

303. Linear Algebra - 3-0-3
Vector spaces, linear transformations, matrices and solution of systems of linear equations using matrices. PR: MAT 201 or CI.

304. Differential Equations - 3-0-3
Elementary study of methods, nature and existence of solutions to first order, linear, higher order and systems of ordinary differential equations, including LaPlace ­transformations, solutions in power series and oscillation theory. Applications considered. PR: MAT 202 or CI.

305WI. Proof Structures and Techniques - 3-0-3
Introduction to various types of mathematical proofs and techniques used to develop them, including elementary symbolic logic, predicates, quantifiers, mathematical induction, direct proofs and constructive proofs. PR: MAT 201.

311. Probability and Statistics - 3-0-3
Probability, discrete and continuous random variables. Distributions covered include binomial, hypergeometric, Poisson, uniform, normal and gamma. Moments and moment-generating functions of random variables. Elementary bivariate and multivariate distributions are introduced. PR: MAT 202 or CI.

312WI. Modern Geometry - 3-0-3
Euclidean geometry from an advanced standpoint requiring problem solving and rigor. Introduction to non-Euclidean geometries. Development of geometries from both an axiomatic mathematical system standpoint and an investigative viewpoint, with the use of appropriate manipulatives and technology. Includes a project on an enrichment topic. PR: MAT 305WI or CI.

319. Combinatorial Mathematics - 3-0-3
(See CSC 319.)

321. Mathematical Inquiry in Early Childhood Education - 3-0-3
Geometry and measurement; explorations of patterns, functions and algebraic concepts within the context of scientific investigation. Mathematics pedagogy, including readings, discussion and in-class simulated teachings. Field experience required. Cannot also receive credit for 322. PR: MAT 220 and admittance to teacher education program.

322. Mathematical Inquiry in the Middle Grades - 3-0-3
Geometry and measurement; explorations of patterns, functions and algebraic concepts. Mathematics pedagogy, including readings, discussion and in-class simulated teachings. Field experience required. PR: MAT 220 and admittance to teacher education program. CR: EDU 330.

324. Geometry for the Middle Grades - 3-0-3
A postulational development of Euclidean geometry using a variety of approaches: Informal, Formal, Measurement, Coordinate and Transformation. This course does not apply to a major or minor in mathematics or mathematics education. PR: MAT 220.

340. Technology-Enhanced Instruction in Mathematics 5-12 - 3-0-3
Mathematical investigations appropriate to the middle grades and secondary school using various technology tools. Focus on developing effective technology-enhanced mathematics instruction in keeping with current reform standards. PR: MAT 145 or MAT 201 or CI and Junior/Senior standing.

400. Senior Seminar in Mathematics Education - 1-0-1
Synthesis of the mathematical competencies required for certification in Georgia to teach mathematics in grades 6-12. PR: SS.
 

401. Mathematics Minor Seminar - 1-0-1
A seminar for juniors and seniors who are minoring in mathematics. Topics of discussion will include: a selection of seminal theorems and their historical and/or practical significance; a survey of significant open problems that are guiding current mathematical research; and the use of Calculus and combinatorial mathematics to study a variety of phenomena through mathematical modeling. PR:  MAT 201, MAT 219, JR or SR standing, 13 hours of MAT courses.

403WI. Introduction to Abstract Algebra - 3-0-3
Fundamental structures of algebra including sets, groups, rings, integral domains and fields. PR: MAT 303 and 305WI.

414. Real Analysis - 3-0-3
Sequences, series, metric spaces, completeness, connectedness and compactness. PR: MAT 202 and 305WI.

417. Complex Analysis - 3-0-3
Introduction to complex numbers, analytic functions, elementary functions of complex variables and derivatives and integrals of functions of complex variables. PR: MAT 303 and 305WI.

420. Advanced Topics in Mathematics - 3-0-3
An advanced mathematical topic to be chosen by the instructor. Students may repeat this course provided the topic is different during each term. PR: MAT 305WI and CI.

490. Mathematics Seminar - 1-0-1
Mathematics literature and research reports by faculty, students and visiting speakers. Each student is required to investigate a topic in mathematics and perform an oral presentation. For junior and senior mathematics and math education majors only. May be repeated once for credit. PR: MAT 305WI, JR or SR standing and CI.

496. Academic Internship - 3 to 9 hours
Problem-oriented experiences on specific academic projects relating to the individual student's program of study, planned in consultation with the student's advisor. PR: See general provisions for academic internships in this catalog.

498. Directed Study - 1 to 3 hours
Supervised independent study in mathematics when the area of study is specialized or not otherwise available. No student may apply more than three hours of credit for MAT 498 toward the requirements for the major. Last-semester JS or SS and approval of school dean.

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