• MATH-0996 Support for Elementary Statistics
##### Description

This Learning Support course provides corequisite support for students enrolled in MATH – Elementary Statistics. Topics will parallel topics being studied in MATH 1401 and the course will provide support for the essential skills needed to be successful in MATH 1401. Taken with MATH 1401, topics to be covered will include descriptive statistics, probability theory, confidence intervals, hypothesis testing, and other selected statistics topics.

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• MATH-0997 Support for Quantitative Reasoning
##### Description

This Learning Support course is intended to provide corequisite support for students requiring remediation in mathematics while they are enrolled in MATH 1001 – Quantitative Reasoning. Topics will parallel topics being studied in MATH 1001 as well as the essential quantitative skills needed to be successful in MATH 1001. Taken with MATH 1001, topics to be covered will include logic, basic probability, data analysis and modeling from data.

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• MATH-0999 Support for College Algebra
##### Description

This Learning Support course is intended to provide corequisite support for students requiring remediation in mathematics while they are enrolled in MATH 1111 – College Algebra. Topics will parallel topics being studied in MATH 1111 as well as the essential quantitative skills needed to be successful in MATH 1111. Taken with MATH 1111, this course provides an in-depth study of the properties of algebraic, exponential and logarithmic functions as needed for calculus. Emphasis is on using algebraic and graphical techniques for solving problems involving linear, quadratic, piece-wise defined, rational, polynomial, exponential and logarithmic functions.

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• MATH-1001 Quantitative Skills and Reasoning
##### Description

This course is an alternative in Area A of the Core Curriculum and is not intended to supply sufficient algebraic background for students who intend to take Precalculus or the Calculus sequence for science majors. This course places quantitative skills and reasoning in the context of experiences that students will likely encounter. It emphasizes processing information in context from a variety of representations, understanding of both the information and the processing, and understanding which conclusions can be reasonably determined.

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• MATH-1001L Quantitative Reasoning Lab
##### Description

This lab is intended to provide co-requisite support for students requiring assistance in mathematics while they are enrolled in MATH 1001 – Quantitative Reasoning. Topics will parallel topics being studied in MATH 1001 as well as the essential quantitative skills needed to be successful in MATH 1001. Taken with MATH 1001, topics to be covered will include logic, basic probability, data analysis and modeling from data.

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• MATH-1101 Introduction to Mathematical Modeling
##### Description

This course is an introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. Emphasis is on the use of elementary functions to investigate and analyze applied problems and questions, supported by the use of appropriate technology, and on effective communications of quantitative concepts and results. For more information on this institution's eCore courses, please see http://www.westga.edu/~ecore/

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• MATH-1111 College Algebra
##### Description

This course is a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions and their graphs. This includes linear, quadratic, piece-wide defined, inequalities, rational, polynomial, exponential, and logarithmic functions. Appropriate applications will be included. Credit for Math 1111 is not allowed if the student already has credit for Math 1113 or higher. For more information on this institution's eCore courses, please see http://www.westga.edu/~ecore/

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• MATH-1111L College Algebra Lab
##### Description

This lab is intended to provide co-requisite support for students requiring assistance in mathematics while they are enrolled in MATH 1111 – College Algebra. Topics will parallel topics being studied in MATH 1111 as well as the essential quantitative skills needed to be successful in MATH 1111. Taken with MATH 1111, this course provides an in-depth study of the properties of algebraic, exponential and logarithmic functions as needed for calculus. Emphasis is on using algebraic and graphical techniques for solving problems involving linear, quadratic, piece-wise defined, rational, polynomial, exponential and logarithmic functions.

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• MATH-1112 Trigonometry & Analyt Geometry
##### Description

This course is to introduce students to the trigonometric functions and their applications in science and Calculus and an introduction to Analytic Geometry. Students cannot receive credit for MATH 1112 and MATH 1113.

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• MATH-1113 Precalculus
##### Description

This course is designed to prepare students for calculus, physics, and related technical subjects. Topics include an intensive study of algebraic and transcendental functions accompanied by analytic geometry and trigonometry. Students cannot receive credit for MATH 1112 and MATH 1113. For more information on this institution's eCore courses, please see http://www.westga.edu/~ecore/

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• MATH-1401 Elementary Statistics
##### Description

This is a non-calculus based introduction to statistics. Course content includes descriptive statistics, probability theory, confidence intervals, hypothesis testing, and other selected statistical topics. Prerequisites: Math 1101 Mathematical Modeling, 1111 College Algebra, or 1113 Precalculus or approved equivalent.

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• MATH-1413 Survey of Calculus
##### Description

A survey of the differential and integral calculus of polynomial, rational, exponential and logarithmic functions is given. Detailed applications to problems and concepts from business, economics and life science are covered.

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• MATH-1501 Calculus I
##### Description

Topics to include functions, limits, continuity, the derivative, antidifferentiation, the definite integral, and applications. Prerequisites: Math 1113 - Pre-calculus or its equivalent. For more information on this institution's eCore courses, please see http://www.westga.edu/~ecore/

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• MATH-1634 Calculus I
##### Description

The first of a three-course sequence in calculus. Limits, applications of derivatives to problems in geometry and the sciences (physical and behavioral). Problems which lead to anti-derivatives.

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• MATH-2008 Foundations of Numbers and Operations
##### Description

This course is an Area F introductory mathematics course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of numbers and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics.

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• MATH-2009 Sophomore Seminar
##### Description

The impact of mathematics in the real world will be presented in the form of lectures, computer labs, and seminars offered by the department of mathematics faculty. The course includes problem solving sessions involving competition problems (e.g. Putnam, MCM, IMO,...) and the use of the technology and computer Algebra systems, such as Maple and Matlab. The course also explores applications of mathematics to the real world, its history and connection to other sciences through projects and reports. A final exam will assess their understanding of the subject matter discussed throughout the course.

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• MATH-2644 Calculus II
##### Description

A continuation of MATH 1634. The definite integral and applications, calculus of transcendental functions, standard techniques of integration, sequences and series.

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• MATH-2654 Calculus III
##### Description

A continuation of MATH 2644. Topics include functions of two, three, and more variables, multiple integrals, and topics in vector calculus.

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• MATH-2853 Elementary Linear Algebra
##### Description

A concrete, applied approach to matrix theory and linear algebra. Topics include matrices and their connection to systems of linear equations, Gauss-Jordan elimination, linear transformations, eigenvalues, and diagonalization. The use of mathematical software is a component of the course.

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• MATH-3003 Transition to Advanced Mathematics
##### Description

A transition course to advanced mathematics. Topics include logic, set theory, properties of integers and mathematical induction, relations, and functions.

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##### Description

A rigorous introduction to the fundamental concepts of single-variable calculus. Topics included the real numbers, limits, continuity, uniform continuity, differentiation, integration, and sequences and series.

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• MATH-3303 Ordinary Differential Equations
##### Description

Modeling with and solutions of ordinary differential equations, including operators, Laplace transforms, and series; systems of ODE's, and numerical approximations.

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• MATH-3353 Methods of Applied Mathematics
##### Description

Solutions of PDE's using orthogonal function systems. Studies of classical boundary-value problems, including the heat equation, wave equation, and potential. Integral transform and numerical methods of solutions.

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• MATH-3703 Geometry for P-8 Teachers
##### Description

(Non-credit for mathematics major or minor.) Special emphasis for teachers of grades P-8. Logic; real numbers; basic and transformational geometry; measurement, including the metric system; problem solving; methods and materials for teaching mathematics at the P-8 level. A continuation of MATH 2703.

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• MATH-3803 Algebra for P-8 Teachers I
##### Description

(Non-credit for mathematics major or minor.) Special emphasis for teachers of grades P-8. Broadens understanding of the fundamental concepts of algebra, with particular attention to specific methods and materials of instruction. Special emphasis for teachers of grades P-8.

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• MATH-3805 Functions & Modeling
##### Description

This is a mathematics course designed to address the unique needs of future teachers of mathematics. It is required of UTEACH math majors and also counts toward their mathematics degree. In the course, students engage in explorations and lab activities designed to strengthen and expand their knowledge of the topics found in secondary mathematics. Course is restricted to UTEACH students.

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• MATH-3825 Research Methods
##### Description

Specially designed to meet the needs of future teachers, students design and carry out four independent inquiries, which they write up and present in the manner that is common in the scientific community. Course is restricted to UTEACH students.

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• MATH-4003 Dynamical Systems
##### Description

A computational introduction to dynamical systems. Topics include discrete and continuous systems, bifurcations, stability, and chaos: Julia and Mandelbrot sets, applications to biology and physics.

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• MATH-4013 Numerical Analysis
##### Description

The practices and pitfalls of numerical computation. Topics include floating point representations; precision, accuracy, and error; numerical solution techniques for various types of problems; root finding, interpolation, differentiation, integration, systems of linear and ordinary differentiation.

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• MATH-4043 Number Theory
##### Description

An in-depth study of selected topics in number theory.

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• MATH-4103 Operations Research
##### Description

An introduction to linear and nonlinear programming. Topics include the formulation of linear programming models; the simplex method, duality and sensitivity; integer programming, the use of spreadsheets and software applications to solve constrained optimization problems.

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• MATH-4153 Applied Mathematical Modeling
##### Description

An introduction to the creation and use of mathematical models. Mathematical techniques will be developed and applied to real systems in areas including chemistry, biology, physics and economics. Students will be expected to make written and oral presentations in a professional manner. This course will emphasize the creation and testing of models and discussions of errors and forecasting. Students will work on projects singly and as part of a group.

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• MATH-4203 Mathematical Probability
##### Description

A calculus based statistics course with a strong emphasis on probability theory. Exercises are both theoretical and applied, including both discrete and continuous probability distributions such as the Binomial and Normal. The course provides the underlying theory and mathematically derived techniques of Statistics. Hypothesis testing for various parameters and regression are also discussed in this course.

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• MATH-4213 Mathematical Statistics
##### Description

A continuation of MATH 4203, this course introduces certain discrete and continuous distributions such as the Poisson, Gamma, T and F. The course also provides an introduction to multivariate distributions. Estimation techniques such as the method of moments and maximum likelihood are discussed along with properties such as unbiasedness, efficiency, sufficiency and consistency of estimators.

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• MATH-4233 College Geometry
##### Description

An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.

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• MATH-4253 Real Analysis
##### Description

An introduction to measure theory and integration. Topics include metric spaces, measure and integration, elementary functional analysis, and function spaces.

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• MATH-4313 Advanced Ordinary Differential Equations
##### Description

Advanced topics in the theory of ordinary differential equations. Topics include existence theory, linear systems, phase plane analysis, asymptotic behavior of solutions, stability of linear systems, Lyapounov's second method and applications.

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• MATH-4353 Complex Analysis
##### Description

A study of the theory of complex functions and their applications, including analytic and elementary functions; derivatives and integrals; The Cauchy Integral Theorem and contour integration; Laurent series; the theory of residues; conformal mapping; and applications.

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• MATH-4363 Partial Differential Equations
##### Description

Studies of classical boundary-value problems, including the heat equation, wave equation, and potential equation. Solution methods including characteristics, separation of variables, integral transforms, orthogonal functions, Green's functions, Fourier series.

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• MATH-4413 Abstract Algebra I
##### Description

The first of a two-course, in-depth, rigorous study in topics in the theory of groups, rings and fields.

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• MATH-4423 Abstract Algebra II
##### Description

A continuation of MATH 4413. Topics include linear groups, group representations, rings, factorization, modules, fields, and Galois Theory.

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• MATH-4473 Combinatorics
##### Description

An introduction to combinatorics. Topics include the pigeonhole principle, combinations, permutations, distributions, generating functions, recurrence relations, and inclusion-exclusion.

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• MATH-4483 Graph Theory
##### Description

An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity.

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• MATH-4513 Linear Algebra I
##### Description

The first course in a comprehensive, theoretically-oriented, two-course sequence in linear algebra. Topics include vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms.

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• MATH-4523 Linear Algebra II
##### Description

A continuation of MATH 4513. Topics include rational and Jordan forms, inner product spaces, operators on inner product spaces, and bilinear forms.

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• MATH-4613 Introduction to Topology
##### Description

An elementary but rigorous study of the topology of the real line and plane and an introduction to general topological spaces and metric spaces. Emphasis placed on the properties of closure, compactness, and connectedness.

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• MATH-4713 Probability and Statistics for P-8 Teachers
##### Description

Non-credit for mathematics major or minor. Special emphasis for teachers of grades P-8. Broadens understanding of the fundamental concepts of probability and statistics, with particular attention to specific methods and materials of instruction.

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• MATH-4753 Trigonometry and Calculus for the P-8 Teacher
##### Description

Non-credit for mathematics major or minor. An introduction to the foundations of trigonometry, analytic geometry, and calculus. Designed especially for teachers of grades P-8. Helps promote a better understanding of the content, scope, and sequence of the P-12 mathematics curriculum.

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• MATH-4773 Number Theory for P-8 Teachers
##### Description

Non-credit for mathematics major or minor. Elementary number theory with emphasis on relevance to teaching at the P-8 level.

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• MATH-4803 Analysis of Variance
##### Description

This course involves a thorough examination of the analysis of variance statistical method including hypotheses tests, interval estimation, and multiple comparison techniques of both single-factor and two-factor models. Extensive use of a statistical computer package, Minitab, will be a necessary part of the course.

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• MATH-4813 Regression Analysis
##### Description

This course involves a thorough examination of both simple linear regression models and multivariate models. The course requires extensive use of statistical software for confidence intervals, statistical tests, statistical plots, and model diagnostics.

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• MATH-4823 Applied Experimental Design
##### Description

This course provides an introduction to design and analysis of planned experiments. Topics will include one and two-way designs; completely randomized designs, randomized block designs, Latin-square and factorial designs. Use of technology will be an integral part of this course.

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• MATH-4833 Applied Nonparametric Statistics
##### Description

This course will involve the study of several nonparametric tests including the Runs test, Wilcoxon signed rank and rank sum test, Kruskal, Wallis and Friedman F test. These tests will include applications in the biological sciences, engineering, and business areas. A statistical software package will be used to facilitate these tests.

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• MATH-4843 Introduction to Sampling
##### Description

This course will consider applied principles and approaches for conducting a sample survey, designing a survey, and analyzing a survey.

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• MATH-4853 An Introduction to the History of Mathematics
##### Description

The development of mathematics from prehistoric times through late 19th century/early 20th century is explored. Emphasis is given to key people, problems, cultural influences for various historic periods that have shaped what we think of as contemporary mathematics. Prerequisite: Completion of core-level mathematics, ENGL 1102 or consent of instructor.

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• MATH-4863 Algebra for P-8 Teachers II
##### Description

Non-credit for mathematics major or minor. A continuation of MATH 3803. Topics include inverse, exponential, and logarithmic functions; systems of equations and inequalities ;matrices and determinants; sequences and series; the Binomial Theorem; and mathematical induction.

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• MATH-4885 Special Topics in Applied Statistics
##### Description

This course will be taught from a variety of statistical topics such as statistical quality control, applied time series, game theory, etc. Prerequisite: Dependent upon course title.

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• MATH-4983 Senior Project
##### Description

A faculty-directed independent research project culminating in the writing of a paper and an oral presentation of the results of the project. Prerequisite: Senior standing as a mathematics major.

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• MATH-4985 Special Topics in Mathematics
##### Description

Courses in selected areas upon demand. Titles will be specified at time of offering.

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• Masters
• MATH-5003 Dynamical Systems
##### Description

A computational introduction to dynamical systems. Topics include discrete and continuous systems, bifurcations, stability, and chaos: Julia and Mandelrot sets, applications, to biology and physics.

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• MATH-5013 Numerical Analysis
##### Description

The practices and pitfalls of numerical computation. Topics include floating point representations; precision, accuracy, and error; numerical solution techniques for various types of problems; root finding, interpolation, differentiation, integration, systems of linear and ordinary differentiation equations.

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• MATH-5014 Scientific Computing
##### Description

The goal of this course is to expose students to Computer Algebra Systems (CAS), such as Maple and Mathematica, and their various applications in teaching concepts in Algebra and Calculus in high schools. It also covers basic numerical methods found in the course Math 4013.

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• MATH-5043 Number Theory
##### Description

An in-depth study of selected topics in number theory.

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• MATH-5103 Operations Research
##### Description

An introduction to linear and nonlinear programming. Topics include the formulation of linear programming models: the simplex method, duality and sensitivity; integer program-ming, the use of spreadsheets and software applications to solve constrained optimization problems.

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• MATH-5113 Technology Orientation Survey of Statistics
##### Description

Course includes a review of basic statistical concepts as well as coverage of topics such as analysis of variance and regression. Assignments will be technology oriented with specific emphasis on the statistical package Minitab.

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• MATH-5153 Applied Mathematical Modeling
##### Description

An introduction to the creation and use of mathematical models. Mathematical techniques will be developed and applied to real systems in areas including chemistry, biology, physics and economics. Students will be expected to make written and oral presentations in a professional manner. This course will emphasize the creation and testing of models and discussions of errors and forecasting. Students will work on projects singly and as part of a group. Same as CSC 6153.

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• MATH-5180 Math for Mid Sch Teachers
##### Description

Prerequisite: Grade of "C" or higher in either MATH 1101 or MATH 1111. Concepts and processes that provide the for the middle-grades mathematics curriculum (5-8). Includes an in-depth study of the real number system with emphasis on the rational number system and axiomatic differences among number systems. Other topics include relations and functions, geometry (including coordinate geometry and graphing), measurement, and elementary probability and statistics. Course offered in partnership with Valdosta State University as part of the GOML/MATC Program.

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• MATH-5203 Mathematical Probability
##### Description

A calculus based statistics course with a strong emphasis on probability theory. Exercises are both discrete and continuous probability distributions such as the Binomial, Geometric, Hypergeometric, Poisson, Normal, Beta and Gamma. The course provides the underlying theory and mathematically derived techniques of Statistics.

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• MATH-5213 Mathematical Statistics
##### Description

A continuation of MAT 4203 including sampling distributions, estimation, hypothesis testing, regression, analysis of variance and nonparametric tests.

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• MATH-5233 College Geometry
##### Description

An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.

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• MATH-5234 College Geometry
##### Description

An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.

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• MATH-5253 Real Analysis
##### Description

An introduction to measure theory and integration. Topics include metric spaces, measure and integration, elementary functional analysis, and function spaces.

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• MATH-5313 Advanced Ordinary Differential Equations
##### Description

Advanced topics in the theory of ordinary differential equations. Topics include existence theory, linear systems, phase plane analysis, asymptotic behavior of solutions, stability of linear systems, Lyapounov's second method and applications.

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• MATH-5353 Complex Analysis
##### Description

A study of the theory of complex functions and their applications, including analytic and elementary functions; derivatives and integrals; The Cauchy Integral Theorem and contour integration; Laurent series; the theory of residues; conformal mapping; and applications.

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• MATH-5363 Partial Differential Equations
##### Description

Classical methods used in partial differential equations. Topics include data propagating along characteristics, classification of systems of the first order equation, the method of transforms and separation of variables, and typical applications of the wave and heat equations.

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• MATH-5413 Abstract Algebra I
##### Description

The first of a two-course, in-depth, rigorous study in topics in the theory of groups, rings, and fields.

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• MATH-5423 Abstract Algebra II
##### Description

A continuation of MATH 5413. Topics include linear groups, group representations, rings, factorization, modules, fields, and Galois Theory.

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• MATH-5473 Combinatorics
##### Description

An introduction to combinatorics. Topics include the pigeonhole principle, combinations, permutations, distributions, generating functions, recurrence relations, and inclusion-exclusion.

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• MATH-5483 Graph Theory
##### Description

An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, V

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• MATH-5513 Linear Algebra I
##### Description

The first course in a comprehensive, theoretically-oriented, two-course sequence in linear algebra. Topics include abstract vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms.

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• MATH-5523 Linear Algebra II
##### Description

A continuation of MATH 5513. Topics include rational and Jordan forms, inner product spaces, operators on inner product spaces, and bilinear forms.

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• MATH-5613 Introduction to Topology
##### Description

An elementary but rigorous study of the topology of the real line and plane and an introduction to general topological spaces and metric spaces. Emphasis placed on the properties of closure, compactness, and connectedness.

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• MATH-5653 Problem Solving 1: Counting and Combinatorics
##### Description

The goal of this course is to expose students to middle and high school mathematics contest problems and to help them discover efficient problem solving strategies. After students learn the basic results and tools in a particular topic, they are invited to solve typical problems, where hints will be provided by the instructor as needs be. Students will gradually be introduced to various classical mathematical problem-solving strategies.

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• MATH-5803 Analysis of Variance
##### Description

This course involves a thorough examination of the analysis of variance statistical method including hypotheses tests, interval estimation, and multiple comparison techniques of both single-factor and two-factor models. Extensive use of a statistical computer package, Minitab, will be a necessary part of the course.

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• MATH-5813 Regression Analysis
##### Description

This course involves a thorough examination of both simple linear regression models and multivariate models. The course requires extensive use of statistical software for confidence intervals, statistical tests, statistical plots, and model diagnostics.

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• MATH-5823 Applied Experimental Design
##### Description

This course provides an introduction to design and analysis of planned experiments. Topics will include one and two-way designs; completely randomized designs, randomized block designs, Latin square, and factorial designs. Use of technology will be an integral part of this course.

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• MATH-5833 Applied Nonparametric Statistics
##### Description

This course will involve the study of several nonparametric tests including the Runs test, Wilcoxon signed rank and rank sum test, Kruskal, Wallis and Friedman F test. These tests will include applications in the biological sciences, engineering, and business areas. A statistical software package will be used to facilitate these tests.

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• MATH-5843 Introduction to Sampling
##### Description

This course will consider applied principles and approaches for conducting a sample survey, designing a survey, and analyzing a survey.

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• MATH-5885 Special Topics in Applied Statistics
##### Description

This course will be taught from a variety of statistical topics such as statistical quality control, applied time series, game theory, etc.

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• MATH-5985 Special Topics in Mathematics
##### Description

Courses in selected areas upon demand. Titles will be specified at time of offering.

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• MATH-6003 Dynamical Systems and Applications
##### Description

Topics included linear dynamical systems and stability of linear systems, generation of dynamical systems by systems of ODE, local theory of dynamical systems, bifurcation theory, and applications.

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• MATH-6043 Topics in Number Theory
##### Description

Topics include divisibility, congruences, Quadratic reciprocity and Quadratic forms, number theory functions, Diophantine equations, Farey fractions and irrational numbers, continued fractions, primes and multiplicative number theory and the Partition Functions.

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• MATH-6103 Discrete Optimization
##### Description

Topics include discrete optimization problems, simplex algorithms, complexity, matching and weighted matching, spanning trees, matroid theory, integer linear programming, approximation algorithms, branch-and-bound, and local search and polyhedral theory.

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• MATH-6203 Applied Probability
##### Description

Topics include probability counting methods, discrete and continuous random variables and their distributions, expected value, sampling distributions, Central Limit Theorem, and normal approximation to the binomial.

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• MATH-6213 Statistical Methods
##### Description

This course will include the following topics: estimation, confidence intervals, hypothesis tests, nonparametric tests, analysis of variance, and regression.

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• MATH-6233 Geometry
##### Description

An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.

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• MATH-6253 Mathematical Analysis I
##### Description

Topics include the Real and Complex number systems, basic topological properties, numerical sequences and series, continuity of functions, the Riemann-Stieltjes Integral, sequences and series of functions, and the Lebesque Theory.

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• MATH-6263 Mathematical Analysis II
##### Description

Topics include metric spaces, topological spaces, compact spaces, Banach spaces, measure and integration, measure and outer measure, the Daniell Integral, and measure and topology.

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• MATH-6303 Introduction to Mathematical Control Theory
##### Description

Topics include discrete-time and continuous-time systems, reachability and controllability, feedback and stabilization, and outputs.

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• MATH-6363 Partial Differential Equations
##### Description

Classical methods used in partial differential equations. Topics include data propagating along characteristics, classifications of systems of the first order equation, the method of transforms and separation of variables, and typical applications of the wave and heat equations.

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• MATH-6403 Signal Processing
##### Description

Topics include Fourier Transforms, Fourier series, Fast Fourier Transforms, Fast Fourier Transforms, FFT, filtering, sampling, and digital signal processing.

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• MATH-6413 Advanced Modern Algebra I
##### Description

Topics include introduction to groups, subgroups, quotient group and homomorphisms, group actions, direct and semidirect products and Abelian groups, and further topics in Group Theory.

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• MATH-6423 Advanced Modern Algebra II
##### Description

Topics include introduction to rings, Euclidean domains, principle ideal domains and unique factorization domains, polynomial rings, field theory, and Galois Theory.

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• MATH-6473 Combinatorial Analysis
##### Description

An introduction to combinatorics. Topics include the pigeon hole principle, combinations, permutations, distributions, generating functions, recurring relations, and inclusion-exclusion.

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• MATH-6483 Theory of Graphs
##### Description

An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity.

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• MATH-6503 Numerical Methods in Applied Mathematics
##### Description

Topics include norms, floating-point arithmetic and rounding errors, wellposed computations, numerical linear algebra, iterative solutions of nonlinear equations, polynomial interpolation, and numerical differentiation and integration.

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• MATH-6513 Applied Linear Algebra
##### Description

Topics include linear equations solving, error analysis and accuracy, linear least square problems, non-symmetric eignevalue problems, symmetric eigenvalue problems and singular value decomposition, and iterative methods for linear systems.

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• MATH-6613 Inverse Problems
##### Description

Topics include basis facts from Functional Analysis, ill-posed problems, regularization of the first kind, regularization by discretization, and inverse eigenvalue problems.

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• MATH-6663 Problem Solving 2: Geometry and Graphs
##### Description

The goal of this course is to expose students to middle and high school mathematics contest problems and to help them discover efficient problem solving strategies. After students learn the basic results and tools in a particular topic, they are invited to solve typical problems, where hints will be provided by the instructor as needs be. Students will gradually be introduced to various classical mathematical problem-solving strategies.

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• MATH-6713 Strategies for Teaching Math
##### Description

This course is designed to enable the learner to develop skills in teaching and planning for mathematics instruction at the secondary level. Special emphasis will be given to preparing teachers to teach in a performance-based curriculum.

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• MATH-6723 Assessment and Classroom Management in Mathematics Education
##### Description

This course is designed to enable the learner to develop skills in assessment and evaluation as well classroom management in the secondary-level mathematics classroom. Special emphasis will be given to the preparation and assessment of performance-based task.

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• MATH-6733 Research in Math Education
##### Description

This course is designed to enable the learner to review, analyze, and interpret available research in mathematics education with emphasis on the application of research to the secondary mathematics classroom.

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• MATH-6743 Advanced Perspective on Secondary Mathematics
##### Description

Topics include features of an advanced perspective, Real and Complex numbers, functions, equations, integers and polynomials, and number system structures.

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• MATH-6903 BioMathematics
##### Description

Topics include model building in development of experimental science, mathematical theories and models for growth of one-species and two or more species systems, mathematical treatment of differential equations in models stressing qualitative and graphical aspects, difference equation models, and scrutiny of biological concepts.

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##### Description

Directed readings are for graduate students who need to conduct an independent review of the literature in a topic not offered by the program curriculum. The topic must be approved by the supervising instructor and the graduate director or department chair.

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##### Description

The research course is designed to teach students methods for mathematical research. Students will conduct research under the supervision of a faculty mentor. Each student will work on a unique research project to be selected by the faculty mentor and the student. Student should have 18 hours of graduate-level mathematics and approval of faculty advisor.

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• MATH-7053 Survey of Calculus for Teachers
##### Description

An overview of calculus with an emphasis on algebraic and trigonometric functions.

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• MATH-7103 A Technology Oriented Survey of Statistics
##### Description

This course includes basic statistical concepts and statistical tests such as tests, confidence intervals, regression, analysis of variance and goodness-of-fit tests. Assignments will be technology oriented with specific

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• MATH-7287 Teaching Internship I
##### Description

Teaching one semester in the public schools at the secondary level under the supervision of an experienced, qualified classroom teacher. Seminars are scheduled as an integral part of the student teaching experience. Application for field experience required prior to enrollment.

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• MATH-7288 Teaching Internship II
##### Description

Teaching one semester in the public schools at the secondary level under the supervision of an experienced, qualified classroom teacher. Seminars are scheduled as an integral part of the student teaching experience. Application for field experience required prior to enrollment.

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• MATH-7403 Math for In-Service P-8 Teachers
##### Description

Strengthens understanding of the language, concepts, structure, and sequential development of elementary mathematics. (Non-credit for M.Ed. or ED.S. in Secondary Education with concentration in mathematics.)

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• MATH-7413 Geometry for In-Service P-8 Teachers
##### Description

Strengthens understanding of the language, concepts, and development of elementary geometry. (Non-credit for M.Ed. or Ed.S. in Secondary Education with concentration in mathematics.)

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• MATH-7423 Algebra for In-Service P-8 Teachers I
##### Description

Strengthens understanding of the concepts of algebra, with special emphasis for teachers of grades k-8. (Non-credit for M.Ed. or Ed.S. in Secondary Education with concentration in Mathematics.)

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• MATH-7503 Algebra for In-Service P-8 Teachers II
##### Description

A continuation of MATH 3803. Topics include inverse, exponential, and logarithmic functions; systems of equations and inequalities matrices and determinants; sequences and series; the Binomial Theorem; and mathematical induction (Non-credit for M.Ed. or Ed.S. in Secondary Education with concentration in Mathematics.)

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• MATH-7513 Trigonometry and Calculus for In-Service P-8 Teachers
##### Description

An introduction to the foundations of trigonometry, analytic introduction to the foundations of trigonometry, analytic geometry, and calculus. Designed especially for teachers of grades P-8. Helps promote a better understanding of the curriculum. (Non-credit for M.Ed. or Ed.S. in Secondary Education with concentration in Mathematics.)

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• MATH-7523 Probability and Statistics for In-Service P-8 Teachers
##### Description

(Non-credit for mathematics major or minor). Special emphasis for teachers of grades P-8. Broadens under-standings of the fundamental concepts of probability and statistics, with particular attention to specific methods and materials of instruction. (Non-credit for M.Ed. or Ed.S. in Secondary Education with concentration in Mathematics.

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• MATH-7533 Number Theory for In-Service P-8 Teachers
##### Description

Elementary number theory with emphasis on relevance to teaching at the P-8 level. (Non-credit for M.Ed. or Ed.S. in Secondary Education with concentration in Mathematics.)

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• MATH-7603 An Introduction to the History of Mathematics
##### Description

The development of mathematics from prehistoric times through late nineteenth century/early twentieth century is explored. Emphasis is given to key people, problems, cultural influences for various historic periods that have shaped what we think of as contemporary mathematics. This is a WAC course.

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• MATH-7985 Special Topics in Mathematics
##### Description

Graduate courses in selected areas. Title will be specified at time of offering.

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