MAT MATHEMATICS (School of Mathematical and Natural Sciences)
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
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
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
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
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
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.