MATHEMATICS (MATH) - 2017-2018 Catalog

Department of Mathematics and Statistics

MATH 0213 - Quantitative Literacy

The focus of this course is to develop the quantitative skills necessary to be successful in MATH 1113. Students will learn a variety of problem-solving strategies including reasoning with proportions, numeracy, interpretation of graphs, and formula usage.

MATH 0313 - Fundamentals of Algebra I

Topics covered in this course will include polynomial arithmetic, solving equations and inequalities, and graphing.

MATH 0413 - Fundamentals of Algebra II

This course will cover topics concerning the properties of the real number system, the solutions of equations and inequalities, the algebra of rational expressions, exponents and radicals, an introduction to quadratic equations, functions and graphs, and the solution of systems of linear equations. Prerequisite(s): MATH 0313 or an appropriate mathematics placement test score.

MATH 1113 - Mathematics For General Education

This course surveys mathematical topics that are not intended as preparation or substitution for College Algebra. The goals of this course are to develop quantitative skills necessary for students to better understand their world and to place mathematics in a context that develops their appreciation of its history, sophistication, and utility as an ongoing human activity. A broad range of topics are selected from: logic and set theory, numeration and number systems, geometry, mathematical models, probability, statistics and inference, graph theory, personal financial applications, and fair apportionment of resources. Prerequisite(s): Three units of high school mathematics or the equivalent.

MATH 1453 - College Algebra For Business

This course exposes students to equations and inequalities, as well as functions and their graphs, including polynomial, rational, exponential and logarithmic functions. Students solve problems in financial mathematics, systems of linear equations, and linear programming. Credit may be earned in only one course from MATH 1453 or MATH 1513. Prerequisite(s): Three years of high school mathematics or the equivalent.

MATH 1513 - College Algebra

This course is an overview of algebraic topics used in real world applications. Topics include complex numbers, variation, solving equations and inequalities, properties and the algebra of functions, graphing basic functions and their transformations, polynomial and rational functions, exponential and logarithmic functions, as well as modeling and real world applications. This course also serves as a preparatory course for Bio-Calculus and Mathematical Analysis for Business. Credit may be earned in only one course from MATH 1453 or MATH 1513.

MATH 1533 - Algebra for STEM

This course is designed to prepare students for Calculus 1. Topics include properties and characteristics of functions and their graphs, including: linear, quadratic, polynomial, piecewise, exponential, logarithmic and rational functions, solving equations and inequalities, transformations, conic sections, solving linear equations using matrices, solving nonlinear systems, and an introduction to sequences and series. Prerequisite(s): Appropriate placement score.

MATH 1593 - Plane Trigonometry

The course content focuses on trigonometric functions, equations and identities. Students will also learn solutions of triangles and the trigonometric representation of complex numbers. Prerequisite(s): MATH 1513 with a minimum grade of "C" or (MATH 1533 or concurrent enrollment in MATH 1533) or appropriate placement score.

MATH 2000 - Topics In Mathematics

Credit will vary from 1 to 4 hours. A general survey of select scientific topics.

MATH 2013 - Structures Of Mathematics

Topics include the structure of number systems, operations, properties, ordering, functions and number theory beginning with natural numbers and extending through the set of all real numbers. This course is specifically designed for elementary education, special education, and early childhood education majors.

MATH 2023 - Foundations Of Geometry & Measurement

This course surveys geometry and measurement in order to develop a foundation in shapes, measurement, congruence and similarity, coordinate geometry, and geometric transformations.

MATH 2053 - Math Analysis for Business

This course explores the mechanics underlying differential and integral calculus, as well as, their applications to business. It primarily focuses on single variable functions, but it will also introduce multivariable functions. This course is designed to equip business students with the tools to solve problems involving limits, differentiation, interpretations of the derivative, antiderivatives, indefinite and definite integrals, and partial differentiation. Prerequisite(s): MATH 1453 or MATH 1513 or MATH 1533 or High School Algebra II all with a minimum grade of "C" or appropriate placement score.

MATH 2113 - Analysis Of Data And Chance

This course will introduce students to statistics, counting techniques, probability, techniques in simulation, sampling, and consumer mathematics. This course emphasizes the use of real data, active experiments, problem solving, and student participation. This course is specifically designed for those preparing to teach at the elementary school level. Prerequisite(s): MATH 2013 with a minimum grade of "C".

MATH 2123 - Survey of Discrete for Math Education

This course is specifically designed for math education majors. It introduces a variety of topics which include logic, set theory, combinatorics, sequences, series, induction, relations and their properties, graph theory, modular arithmetic and applications such as cryptography. Prerequisite(s): MATH 2313.

MATH 2133 - Patterns And Functions

This course includes real-world applications solved in an active-learning environment. Topics include the treatment of mathematical patterns, functions, equations, graphs, algebraic structures and linear inequalities. This course is specifically designed for those preparing to teach at the elementary school level. Prerequisite(s): MATH 2013 with a minimum grade of "C".

MATH 2153 - Bio-Calculus

This course is an introduction to calculus with an emphasis on biological applications. Students will learn limits, differentiation, and integration, and their applications. Selected topics and applications include modeling with discrete-time dynamical systems and optimization. Prerequisite(s): MATH 1513 or MATH 1533 or high school Algebra II each with a minimum grade of "C" or appropriate placement score.

MATH 2305 - Accelerated Calculus 1 & 2

Accelerated Calculus 1 & 2 contains the combined content of MATH 2313, Calculus 1, and MATH 2323, Calculus 2, and is designed for Physics & Engineering majors and for other majors who desire an accelerated pace in their calculus instruction. The content of the course includes limits and continuity, differentiation and its basic applications, as well as integration and its basic applications, all in the context of both algebraic and transcendental functions of a single real variable. Prerequisite(s): MATH 1513 (or high school Algebra II) and MATH 1593 (or high school Trigonometry) both with a minimum grade of C.

MATH 2313 - Calculus 1

This is the first course of a four-semester sequence of differential and integral calculus with applications. The course covers limits and continuity, derivatives and their applications as well as the basic theory of Riemann integration in one variable, u-substitution, and the fundamental theorem of calculus. Prerequisite(s): MATH 1533 and MATH 1593 with a minimum grade of C in both courses or appropriate placement score.

MATH 2323 - Calculus 2

This is the second course of a four-semester sequence of differential and integral calculus with applications. The course covers the techniques and applications of integration, the transcendental functions and their inverses, as well as an introduction to differential equations. Prerequisite(s): MATH 2313 with a minimum grade of "C".

MATH 2333 - Calculus 3

This is the third course of a four-semester sequence of differential and integral calculus with applications. The course covers sequences, infinite series, conic sections, parameterized curves, polar coordinates, vectors and analytic geometry in space, vector-valued functions, and curvature. Prerequisite(s): MATH 2323 with a minimum grade of "C" or 2305 with a minimum grade of "C"

MATH 2343 - Calculus 4

This is the fourth course of a four-semester sequence of differential and integral calculus with applications. The course covers the calculus of functions of several real variables, including Green's theorem, Stokes' theorem, and the divergence theorem. Prerequisite(s): MATH 2333 with a minimum grade of "C".

MATH 2743 - Technology and Mathematics Education

This course will introduce future teachers of mathematics to cutting-edge technology that can be used inside and outside the classroom to enhance their students' learning. Prerequisite(s): MATH 2313 with a minimum grade of "C".

MATH 2753 - Technology for Professional Mathematics and Statistics

This course will introduce students to the powerful computational tools and ideas necessary to work and effectively communicate ideas in mathematics, statistics, and science. Students will learn how to typeset basic and more advanced mathematics, examine the theoretical and practical pitfalls of scientific computing, read and write basic computer programs, and use computer algebra software. Prerequisite(s): Math 2313 with a minimum grade of "C".

MATH 3000 - Workshop In Mathematics

Credit will vary from 1 to 6 hours. Subject matter will vary within the department's field of study. Normally involves lecture, films, guest speaker, etc. A grade of "P" or "F" is given. No more than 6 hours of workshop may be counted toward a bachelor's degree.

MATH 3103 - Differential Equations

This course introduces the theory of ordinary differential equations and their applications. Topics include: linear first and second order equations, methods of undetermined coefficients, variation of parameters, series solutions, Laplace transforms, numerical solutions, linear systems of equations, and an introduction to locally linear systems. Prerequisite(s): MATH 2343 with a minimum grade of "C" or concurrent enrollment in MATH 2343 and permission of department chair.

MATH 3113 - Foundations of Advanced Mathematics

This course focuses on proof writing techniques such as methods of direct proof, mathematical induction, as well as proofs by contradiction and contraposition. Topics utilized include logic, sets, relations, functions, and countability. Prerequisite(s): MATH 2323 with a minimum grade of "C".

MATH 3123 - College Geometry

This course covers the development of Euclidean Geometry from the axiomatic standpoint. Topics include logic and axiomatic structures, neutral geometry, the parallelism postulate and its implications leading to Euclidean Geometry, and the negation of the parallelism postulate leading to a discussion of elementary hyperbolic geometry. Prerequisite(s): MATH 2323 with a minimum grade of "C".

MATH 3133 - Theory of Interest 1

This is the first semester of a two-semester sequence delving into the theory of interest. Topics include an introduction to the terminology and methodology of solving interest problems, as well as the definitions and valuations of annuities. Prerequisite(s): MATH 2323 with a minimum grade of "C".

MATH 3143 - Linear Algebra

This course includes Linear Algebra Curriculum Study Group core topics; solving linear systems, LU factorization, independence, matrix algebra and inverses, subspaces, bases, dimension, rank, linear transformations, determinants, characteristic equation, eigenvalues and eigenvectors, diagonalization, Gramm-Schmidt orthogonalization, QR factorization, diagonalization of symmetric matrices, least squares, quadratic forms, an introduction to numerical computations and, as time permits, partitioned matrices and SVD. Students will be introduced to a numerical computing/programming environment such as MatLab. Prerequisite(s): MATH 2333 with a minimum grade of "C".

MATH 3163 - Elementary Number Theory

This course covers the divisibility of integers, mathematical induction, distribution of primes,congruences, diophantine equations, numerical functions, and primitive roots. Proof writing will be emphasized. Prerequisite(s): MATH 3113.

MATH 3183 - Introduction To Modern Algebra

This course covers groups, subgroups, cosets, Theorem of Lagrange, homomorphisms, factor groups, rings, fields, integral domains and ideals. Proof writing will be emphasized. Prerequisite(s): MATH 3113 with a minimum grade of "C".

MATH 3243 - Advanced Linear Algebra

This course covers vector spaces and linear transformations, finite-dimensional vector spaces, invariance of dimension, finite-dimensional subspaces, behavior of dimension with respect to subspaces and quotient spaces. Prerequisite(s): MATH 3143 with a minimum grade of "C".

MATH 3323 - Teaching Middle School Mathematics

In this course students will investigate mathematical learning theory and its influence on how mathematics is and should be taught at the middle school level. The focus will be on creating tasks for middle school mathematics students, analyzing factors that affect mathematics teaching, and exploring the topics that make up the middle school math curriculum. Prerequisite(s): Six hours of mathematics at the 2100 level or higher with a minimum grade of "C" in all courses.

MATH 3990 - Advanced Topics In Mathematics

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study.

MATH 4113 - Operations Research 1

This course covers formulation of various deterministic problems as mathematical optimization models, the development of the simplex algorithm, and the theoretical implications of linear program duality, including sensitivity analysis. Optimization models studied include linear programs, integer programs, and various network models. Prerequisite(s): MATH 3143 with a minimum grade of "C".

MATH 4123 - Operations Research 2

This course covers the solution methods for various mathematical optimization models including integer programs, network problems, deterministic inventory models, and queuing models. Special emphasis is placed on the use of heuristics and metaheuristics to address intractable problems. Prerequisite(s): MATH 4113 with a minimum grade of "C".

MATH 4133 - Theory of Interest 2

This is the second semester of a two-semester sequence delving into the theory of interest. Topics include yield rates, amortization schedules, bonds and other securities. Prerequisite(s): MATH 3133 with a minimum grade of "C".

MATH 4143 - Introduction to Analysis 1

This course introduces the study of functions of a real variable. Theory and proof-writing skills are emphasized. Topics include real numbers, convergence of sequences of real numbers, Cauchy sequences, the Bolzano-Weirstrass theorem, continuous functions, uniform continuity, differentiable functions and integrable functions. Prerequisite(s): MATH 3113 and MATH 2333 both with a minimum grade of "C" and Junior standing or above.

MATH 4153 - Introduction to Analysis 2

This course continues the study of functions of a real variable introduced in MATH 4143 - Introduction to Analysis 1. Theory and proof-writing skills are emphasized. Prerequisite(s): MATH 4143 with a minimum grade of "C".

MATH 4203 - Fundamental Concepts of Geometry

This course covers elementary theory in the foundations of geometry and logical systems, and basic theory in the fields of Euclidean, Non-euclidean, and synthetic and coordinate projective geometry, including homogeneous coordinates. Prerequisite(s): MATH 2333 with a minimum grade of "C".

MATH 4223 - Mathematics of Life Contingencies 1

The course is directed toward all undergraduate students in the B.S. program in Actuarial Science. It is designed to equip students with an understanding of the basic theory of life contingencies. Prerequisite(s): MATH 3133 with a minimum grade of "C" or STAT 4113 with a minimum grade of "C".

MATH 4233 - Mathematics of Life Contingencies 2

The course is directed toward all undergraduate students in the B.S. program in Actuarial Science. It is designed to equip students with an understanding of the basic theory of life contingencies. Prerequisite(s): MATH 4223 with a minimum grade of "C".

MATH 4263 - Numerical Linear Algebra

Students will study direct and iterative methods of solving linear systems of equations, methods of solving nonlinear systems of equations, eigenvalue problems, special matrices, connections to differential equations, and additional special topics as appropriate. Prerequisite(s): MATH 3143 with a minimum grade of "C".

MATH 4363 - Applied Numerical Analysis

This course will formulate numerical methods for approximation of solutions to a variety of calculus-based problems including root-finding, integration and differentiation, approximation, and other special topics as appropriate. Substantial emphasis will be given to analysis of the underlying mathematical theory and to application of methods by computer programming. Prerequisite(s): MATH 2333 with a minimum grade of "C" and (MATH 2753 or permission of the instructor).

MATH 4483 - History Of Mathematics

This course covers the historical development of mathematical concepts and symbolism. Prerequisite(s): MATH 2333 with a minimum grade of "C".

MATH 4843 - Teaching Of Secondary Mathematics

This course covers the development of secondary mathematics in the United States, the work of professionally recognized mathematics education committees, the general aspects of teaching mathematics, and detailed study for teaching various high school mathematics courses. Prerequisite(s): Six hours of MATH courses numbered above 2333 with a minimum grade of "C". Junior or senior standing. Enrollment open to Mathematics Education majors only.

MATH 4900 - Practicum In Mathematics

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study.

MATH 4910 - Seminar In Mathematics

Credit will vary from 1 to 5 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Written permission of instructor.

MATH 4920 - Workshop

Credit will vary from 1 to 9 hours. Subject matter will vary within the department's field of study. Normally involves lecture, films, guest speaker, etc. A grade of "P" or "F" is given. No more than 6 hours of workshop may be counted toward a bachelor's degree.

MATH 4930 - Individual Study

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Written permission of instructor.

MATH 4950 - Internship In Mathematics

Credit will vary from 1 to 8 hours.

MATH 4960 - Institute In Mathematics

Credit will vary from 1 to 8 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Written permission of instructor.

MATH 4970 - Study Tour In Mathematics

Credit will vary. Subject matter will vary within the department's field of study.

MATH 5113 - Operations Research 1

This course covers the formulation of various deterministic problems as mathematical optimization models, the development of the simplex algorithm, and the theoretical implications of linear program duality, including sensitivity analysis. Optimization models studied include linear programs, integer programs, and various network models. Prerequisite(s): MATH 3143 with a minimum grade of "C".

MATH 5123 - Operations Research 2

This course covers the solution methods for various mathematical optimization models including integer programs, network problems, deterministic inventory models, and queuing models. Special emphasis is placed on the use of heuristics and metaheuristics to address intractable problems. Prerequisite(s): MATH 4113 with a minimum grade of "C" or 5113 with a minimum grade of "C".

MATH 5134 - Calculus For Secondary Teachers

This course is a survey of calculus in view of modern concepts and is intended for students preparing to teach advanced secondary mathematics.

MATH 5143 - Advanced Calculus For Applications 1

This is the first course in a two-course sequence of differential and integral calculus. Its topics include sequences and limits of sequences, limits of single variable functions, and differentiation and integration of single variable functions. Students will be required to apply the ideas learned to individual investigations. Prerequisite(s): Math 3103.

MATH 5153 - Advanced Calculus For Applications 2

This is the second course ina two-course sequence of differential and integral calculus. Its topics include infinite series of numbers, sequences and series of functions, Fourier series, vector calculus, and limits, differentiation, and multiple integration of functions of several variables. Prerequisite(s): MATH 5143.

MATH 5263 - Numerical Linear Algebra

Students will study direct and interative methods of solving linear systems of equations, methods of solving nonlinear systems of equations, eigenvalue problems, special matrices, connections to differential equations, and additional special topics as appropriate. Prerequisite(s): MATH 3143 with a minimum grade of "C".

MATH 5373 - Applied Numerical Analysis

This course will formulate numerical methods for approximation of solutions to a variety of calculus-based probelms including root-finding, integration and differentiation, approximation, and other special topics as appropriate. Substantial emphasis will be given to analysis of the underlying mathematical theory and to application of methods by computer programming. Prerequisite(s): MATH 3103 with a minimum grade of "C".

MATH 5413 - Differential Equations

Topics in this course include partial differential equations, elliptic, hyperbolic, and parabolic equations, separation of variables, special functions, eigen function expressions, and the existence and uniqueness of solutions. Prerequisite(s): MATH 5363.

MATH 5443 - Introduction To Complex Variables

This course is an introduction to the theory of functions of a complex variable. Topics include analytic functions, complex integrals, Taylor and Laurent series, and conformal mappings. Prerequisite(s): MATH 2343.

MATH 5453 - Mathematical Modeling

This course is a case study approach to mathematical modeling. Problems from a variety of problem areas and demonstrating various mathematical methodology will be discussed. Prerequisite(s): Permission of the instructor.

MATH 5563 - Introduction To Graph Theory

Topics in this course include the structure of graphs, trees, connectivity, planarity, colorability of graphs, digraphs, matrices associated with a graph, and the automorphism group of a graph. Graph theoretic modeling and applications to engineering, computer science, and data structures will be emphasized. Prerequisite(s): MATH 3183 or 3143.

MATH 5843 - Teaching of Secondary Mathematics

This course covers the development of secondary mathematics in the United States, the work of professionally-recognized mathematics education committees, the general aspects of teaching mathematics, and detailed study for teaching various high school mathematics courses. Prerequisite(s): Permission of the instructor.

MATH 5853 - Introduction To Graduate Research

Students in this course will learn how to conduct scholarly research, read professional journals, structure a comprehensive paper, and communicate mathematical concepts. Each student will submit a comprehensive report in a format appropriate to the nature of the investigated problem. Prerequisite(s): Enrollment open to math majors only.

MATH 5900 - Practicum In Mathematics

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study.

MATH 5910 - Seminar / Special Topics

Credit will vary from 1 to 4 hours. Directed intensive study on selected problems or special topics. Prerequisite(s): Undergraduate minor in the subject matter area and permission of graduate advisor.

MATH 5920 - Workshop

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study. Normally involves lecture, films, guest speaker, etc. A grade of "P" or "F" is given.

MATH 5930 - Individual Study

Credit will vary from 1 to 4 hours. Directed intensive study on definite or special subject, based on approved outlines or plans; conference, oral and written reports. Prerequisite(s): Permission of instructor.

MATH 5940 - Field Study In Mathematics

Credit will vary from 1 to 9 hours. Subject matter will vary within the department's field of study.

MATH 5950 - Internship In Mathematics

Credit would vary from 1 to 8 hours. Subject matter would vary within the department's field of study. Supervised practical experience gained in a professional field by an advanced or graduate student.

MATH 5960 - Institute In Mathematics

Credit will vary from 1 to 8 hours. Subject matter will vary within the department's field of study.

MATH 5970 - Study Tour

Credit will vary. Subject matter will vary within the department's field of study.

MATH 5980 - Graduate Project

A contemporary problem provided by business and industry and selected with consideration of the interests and abilities of the individual student. Prerequisite(s): Written permission of instructor and MATH 5853. Enrollment open to Math majors only.

MATH 5990 - Thesis

Credit will vary from 1 to 6 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Permission of instructor and MATH 5853. Enrollment open to math majors only.