Mathematics Courses (MTH)

MTH 0096
Pre-Algebra (3)
  Topics include 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)
  Topics include 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)
  Topics include 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)
  Applications of statistical techniques, such as experimental design, hypothesis testing, parametric and non-parametric tests along with descriptive statistics in contemporary research. This course will focus on the commonly used parametric statistical tests, their non-parametric counterparts, and the conditions under which each test is appropriate or inappropriate.
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 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, 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.
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