|MTH 0096||Pre-Algebra (3)|
|Developmental / remedial instruction including operations with whole numbers, decimals, and fractions. Ratio, percent and equation solving will be emphasized. Note: This course is for institutional credit only and will not be used in meeting degree requirements. This course will not substitute for any general studies requirement.|
|MTH 1100||Fundamentals of Algebra (3)|
|Developmental / remedial instruction including integer and rational arithmetic, linear equations, inequalities, integer exponents, polynomials and factoring, rational expression. Prerequisite: Placement or a grade of C or better in MTH 0096. Note: This course is for institutional credit only and will not be used in meeting degree requirements. This course will not substitute for any general studies requirement.|
|MTH 1105||Intermediate Algebra (3)|
|Developmental / remedial instruction including real and complex numbers; polynomials and factoring; rational exponents; roots and radicals; linear equations and inequalities; quadratic equations; and graphing. Prerequisite: placement or a grade of C or better in MTH 1100. Note: This course is for institutional credit only and will not be used in meeting degree requirements. This course will not substitute for any general studies requirement.|
|MTH 1110||Finite Mathematics (3)|
|Topics include a survey of logic, sets, counting, permutations, combinations, basic probability, an introduction to statistics, and matrices and their applications to Markov chains and decision theory. Prerequisite: appropriate score on mathematics placement test, advanced placement, or a grade of C or better in MTH 1105. Note: Credit will not count toward a major or minor in mathematics.|
|MTH 1112||Pre-Calculus Algebra (3)|
|Topics include the algebra of functions, including polynomial, rational, exponential, and logarithmic functions. The course also contains systems of equations and inequalities, linear and quadratic equations and inequalities, graphs of polynomials, and the binomial theorem. Prerequisite: appropriate score on mathematics placement test, advanced placement, or a grade of C or better in MTH 1105. Note: Credit will not count toward a major or minor in mathematics.|
|MTH 1114||Pre-Calculus Trigonometry (3)|
|This course covers trigonometric functions including definitions, identities, and trigonometric equations, applications as well as properties and graphs of trigonometric functions and their inverses. Also included are the law of sines, the law of cosines, polar coordinates, vectors, and conic sections. Prerequisite: MTH 1112 with a grade of C or better or advanced placement. Note: Credit will not count toward a major or minor in mathematics.|
|MTH 1125||Calculus I (4)|
|Topics include limits of functions, derivatives of algebraic, trigonometric, exponential and logarithmic functions and their inverses and the definite integral and its application to area problems. Applications of the derivative including maximum and minimum problems, and curve sketching using calculus. Prerequisite: A grade of C or better in MTH 1114 or advanced placement.|
|MTH 1126||Calculus II (4)|
|Applications of integration (such as volume, arc length, work, and average value), techniques of integration, indeterminate forms, infinite series, polar coordinates, and parametric equations.
Prerequisite: MTH 1125.
|MTH 2201||Calculus and its Applications (3)|
|An introduction to the basic ideas and techniques of differential and integral calculus, especially as they relate to problems involving maximum and minimum values of functions and marginal analysis. Prerequisite: MTH 1112 or 1114 with a grade of C or better, or advanced placement. Note: Credit will not count toward a major or minor in mathematics.|
|MTH 2210||Introductory Statistics (3)|
|A beginning course in statistics intended for students in a wide variety of fields of study. Course topics include descriptive statistics, normal distribution, correlation and regression, basic concepts of probability, binomial distribution, sampling distribution, confidence intervals and hypothesis testing for mean(s) and proportion(s). Students also have the opportunity to analyze data sets using Statistics software. Prerequisite: A grade of C or better in MTH 1112. Note: Credit will not count toward Area III requirements nor will it count toward any major or minor in mathematics.|
|MTH 2215||Applied Discrete Mathematics (3)|
|Discrete mathematics with a computer science orientation is presented. Topics include sets, relations, logic, algorithms, and recursion. Prerequisite: A grade of C or better in MTH 1112. Note: Credit will not count toward Area III requirements nor will it count toward any major or minor in mathematics.|
|MTH 2220||Computer Programming for Mathematics (3)|
|Structured programming of a mathematical nature, arithmetic computations, algorithm design and control structures, functions and subroutines intrinsic functions, array processing. Prerequisite: MTH 1125.|
|MTH 2227||Calculus III (4)|
|Topics include vector functions, multi-variable functions, partial derivatives and their applications, quadric surfaces, multiple integrals, and vector calculus, including Green’s theorem, curl, divergence, surface integrals, and Stoke’s theorem. Prerequisite: MTH 1126.|
|MTH 2251||Mathematical Concepts for K-6 Teachers I (3)|
|An examination of some of the major topics encountered in the teaching of elementary mathematics with emphasis on number theory order of operations, definitions of and operations with rational and irrational numbers, estimation, definitions and algorithms of the four operations, numeration systems, bases other than 10, and problem solving. Prerequisite: MTH 1110 or 1112. Note: Credit will not count toward Area III requirements nor will it count toward any major or minor in mathematics.|
|MTH 2252||Mathematical Concepts for K-6 Teachers II (3)|
|An examination of some of the major topics encountered in the teaching of elementary school geometry with emphasis on measurement, area, volume, congruence, polygons, circles, constructions, motion geometry, polyhedra, and similarity. Prerequisite: MTH 1110 or 1112. Note: Credit will not count toward Area III requirements nor will it count toward any major or minor in mathematics.|
|MTH 3300||Selected Topics (3)|
|Examination of a designated topic of special and/or current interest and importance, which is generally not covered in regularly offered courses in the mathematics curriculum.|
|MTH 3311||Differential Equations (3)|
|An introduction to ordinary differential equations. Topics include first order methods, linear equations, the Laplace transforms, systems of equations, and applications. Prerequisite: MTH 2227.|
|MTH 3318||Introduction to Advanced Mathematics (3)|
|Topics include set theory, equivalence relations and partitions, logic, number systems, functions, and proof writing techniques. Prerequisite: MTH 1126.|
|MTH 3325||College Geometry (3)|
|Axiomatic systems; incidence and separation properties of planes and space; metric and synthetic approaches; geometric inequalities; parallel postulate; area-theory; circles in a plane; models for hyperbolic and elliptic geometries; and constructions with a straightedge and compass. Prerequisite: MTH 3318.|
|MTH 3331||Linear Algebra (3)|
|Matrices, systems of equations, determinants, eigenvalues and eigenvectors. Prerequisite: MTH 1126.|
|MTH 3350||Statistical Methods and Computations (3)|
|This course is designed to provide students with a foundation in statistical methods, including data exploring and strategies in sample surveys, estimation and testing hypotheses of means and variances, analysis of variance, regression analysis, contingency tables. These concepts are taught with heavy emphasis on statistical computing software and real world datasets. Students will learn basic skills of SAS, a statistical software package that is widely used in business, industry, government, and research. Prerequisite: MTH 2210.|
|MTH 3355||Survey Sampling (3)|
|Topics include sampling frames, questionnaire design, simple random, systematic, stratified, and cluster sampling, comparing domain means, contingency table analysis. Prerequisite: MTH 2210.|
|MTH 3364||Vector Calculus (3)|
|Differentiation in several variables. Line and surface integrals. Potential theory and differential Prerequisite: MTH 2227.|
|MTH 4412||Discrete Mathematics (3)|
|Topics can include counting techniques such as Pigeonhole Principle, permutations, combinations, binomial coefficients, inclusion-exclusion, and relations and graphs. Prerequisites: MTH 2227 and 3318.|
|MTH 4420||Graph Theory (3)|
|The elements of graph theory including: trees; bipartite, chordal and planar graphs; graph coloring; graph traversals; and flows. Prerequisites: MTH 2227 and 3318 or permission of instructor.|
|MTH 4422||Numerical Analysis (3)|
|Topics include finite differences, interpolation, numerical integration and differentiation, solutions of equations of one variable, linear systems, and numerical solutions of ordinary differentia equations.
Prerequisites: MTH 2220, 2227 and 3331, or permission of instructor.
|MTH 4424||Real Analysis I (3)|
|The real number system, completeness, limits, continuity, sequences, differentiation, and the Riemann integral. Prerequisites: MTH 2227 and 3318.|
|MTH 4425||Real Analysis II (3)|
|Sequences and series of functions, series, and a continuation of the integral to include the Fundamental Theorem of Calculus. Prerequisite: MTH 4424.|
|MTH 4426||Complex Analysis (3)|
|Complex numbers, elementary functions and their mappings, complex limits and power Cauchy integral formula. Prerequisites: MTH 2227 and 3318 or permission of instructor.|
|MTH 4436||Number Theory (3)|
|Divisibility, congruencies, prime numbers, Fermat’s theorem, Diophantine equations, number theoretic functions. Prerequisites: MTH 2227, 3318.|
|MTH 4441||Abstract Algebra I (3)|
|Properties of the integers, modular arithmetic. Elementary theory of groups, finite groups, subgroups, cyclic groups, permutation groups. Group isomorphisms and homomorphisms. Prerequisites: MTH 2227, 3318, and 3331.|
|MTH 4442||Abstract Algebra II (3)|
|Elementary theory of rings, polynomial rings, divisibility, unique factorization domains. Integral domains, ideals, factor rings, divisibility in integral domains. Elementary theory of fields. Extension fields. Prerequisite: MTH 4441.|
|MTH 4451||Mathematical Statistics I (3)|
|Probability theory, sample spaces, random variables, mutual exclusion, independence, conditional probability, permutations and combinations, common discrete and continuous distributions, expected value, mean, variance, multivariate distributions, covariance, Central Limit Theorem. Prerequisite: MTH 1125 and MTH 2210.|
|MTH 4452||Mathematical Statistics II (3)|
|Fundamentals of the theory of statistics, the Central Limit Theorem, point estimation, sufficiency, consistency, hypothesis testing, sampling distributions, confidence intervals, linear regression models, interpretation of experimental results, Bayesian Estimation.
Prerequisite: MTH 4451.
|MTH 4456||Mathematics of Finance (3)|
|The fundamental concepts of financial mathematics and how these concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in the following: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent flows.
Prerequisite: MTH 4451.
|MTH 4459||Regression Analysis (3)|
|Topics include simple linear regression, inferences in regression analysis, techniques of multiple regression and model building, ANOVA as regression analysis, analysis of covariance, model selection and diagnostic checking techniques, nonlinear regression, and logistic regression. Computations are an integral part of the course and will involve the use of SAS and R statistical software.
Prerequisite: MTH 4451.
|MTH 4460||Topology (3)|
|An introduction to metric and topological spaces and associated topics, separation axioms, compactness, and connectedness.
Prerequisites: MTH 2227, 3318.
|MTH 4464||Multivariate Analysis (3)|
|Possible topics to be covered include multivariate descriptive statistics, multivariate normal distribution, analysis of covariance, MANOVA, multivariate regression, principal components, discriminant analysis, cluster analysis, factor analysis. Some familiarity with R and SAS is expected. Prerequisite: MTH 4451, and MTH 3350.|
|MTH 4465||Categorical Data Analysis (3)|
|In recent years, the use of specialized statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. The course gives an introduction to analyzing categorical data. Principal topics include: contingency tables, generalized Linear Models, log-linear models, logistic regression, and models for matched pairs. Two statistical software packages SAS and R will be used appropriately throughout the course. Prerequisite: MTH 4451.|
|MTH 4466||Data Mining (3)|
|Data Mining is a fast growing interdisciplinary field between Statistics and Computer Science due to the emergence of massive dataset. This course covers an information extraction activity whose goal is to discover hidden facts from large data warehouses. A number of data mining tasks including description, classification, selection, estimation, prediction, and affinity grouping and clustering will be discussed. Also, students will learn how to use data mining software to perform data mining functionalities. Prerequisite MTH 4459.|
|MTH 4467||Experimental Design (3)|
|Fundamental principles of designing and analyzing experiments with application are considered. The concepts of experimental unit, randomization, blocking, replication, error reduction and treatment structure are introduced. The design and analysis of completely randomized, randomized complete block, incomplete block, Latin square, split-plot, repeated measures, factorial and fractional designs will be covered. Prerequisite: MTH 4451.|
|MTH 4474||Internship in Mathematics Education (9)|
|The Professional Internship Program is the culminating clinical field-based experience for students seeking certification in a teaching field. The Professional Internship Program provides the student with the opportunity to conduct classes and assume the role of a teacher while receiving supervision from a classroom teacher and a university supervisor for a period of one full semester. The student will demonstrate skills of the informed, reflective decision maker throughout the internship experience. Prerequisite: admission to TEP. Co-requisite: SED 4454.|
|MTH 4481||Methods and Materials for the Secondary Teacher (3)|
|A survey of teaching methods and materials appropriate for teaching in the content areas for grades 6-12. Topics addressed will include teacher evaluation in the public schools, collaboration with special education teachers, and lesson planning formats. In addition, teaching methods, selections organization and use of mathematics materials for grades 6-12 will be covered in detail. A professional laboratory experience is included in this course. Prerequisite: admission to TEP.|
|MTH 4490||Senior Seminar (1 to 3 credit hours)|
|Individualized study of a topic in mathematics culminating in a written and oral presentation. Prerequisites: MTH 3318 and senior status.|
|MTH 4491/4492||Guided Independent Research (1 to 3 credit hours)|
|Additional information is indexed under Independent Study and Research.|
|MTH 4493-4494||Guided Independent Study (1 to 3 credit hours)|
|Additional information is indexed under Independent Study and Research.|