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 096.  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 include 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 1115 Pre-Calculus Algebra and Trigonometry (4)
    The course covers the algebra of functions, systems of equations and inequalities, quadratic inequalities, and the conic sections.  It also includes the study of trigonometric and inverse trigonometric functions, trigonometric equations, vectors, complex numbers, polar coordinates, and DeMoivre’s Theorem.  Prerequisite:  MTH 1105 with a grade of C or better, appropriate score on the mathematics placement test, 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 are covered in detail including approximations of error using differentials, maximum and minimum problems, and curve sketching using calculus.  Prerequisite:  MTH 1115 or 1114, or advanced placement. 
MTH  1126 Calculus II (4)
    Topics include vectors in the plane and in space, line and planes in space, applications of integration (such as volume, arc, length, work, and average value), techniques of integrations, indeterminate forms, infinite series, polar coordinates, and parametric equations. Prerequisite:   MTH 1125 or advanced placement.
MTH  2201 Business Calculus (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 1115 with a grade of C or better, or advanced placement.  Note:  Credit will not count toward a major or minor in mathematics. 
MTH  2210 Applied 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 a 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 a 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 integrations, and vector calculus, including Green’s theorem, curl, divergence, surface integrals, and Stoke’s theorem. Prerequisite:  MTH 1126 or advanced placement.
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 ten, and problem solving.  Prerequisite:  MTH 1110 or 1112.  Note:  Credit will not 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 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 or permission of instructor.
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 protractor and compass. Prerequisite: MTH 3318 or permission of instructor.
MTH   3331 Linear Algebra (3)
    Matrices, systems of equations, determinants, eigenvalues and eigenvectors.  Prerequisite:  MTH 1126 or permission of instructor.
MTH 3364 Vector Calculus (3)
    Differentiation in several variables.  Line and surface integrals.  Potential theory and differential forms. Prerequisite:  MTH 2227. 
MTH  4412 Discrete Mathematics (3)
    Topics can include counting, graph theory, partitions, principle of inclusion and exclusion, finite geometries, applications of group theory, recurrence relations, generating functions. Prerequisites:  MTH 2227 and 3318. 
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 differential equations.  Prerequisites:  MTH 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 series, analytic functions, integrals, contour integral, and 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 and 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, or permission of instructor. 
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 2227 or permission of instructor.
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  4460 Topology (3)
    An introduction to metric and topological spaces and associated topics, separation axioms, compactness, and connectedness. Prerequisites:  MTH 2227 and 3318.
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  4491/ Guided Independent Research (3)
  4492 Additional information is indexed under Guided Independent Research and Study.
MTH 4493- Guided Independent Study (3)
  4494 Additional information is indexed under Guided Independent Research and Study.