TSU Mathematics Course Descriptions

MTH 1100 (3 SH) Fundamentals of Algebra

Development of the basic algebra skills which serve as a foundation for pre-calculus algebra.  Prerequisite:  Placement.  Note:  This course is for institutional credit and will not be used in meeting degree requirements.  This course will not substitute for any general studies requirement.

MTH 1110 (3 SH) Finite Mathematics

This course is designed to give an overview of topics in finite mathematics together with their applications.  This course includes a survey of logic, numeration systems, sets, bases other than ten, counting, permutations, combinations, basic probability, and 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 grad of C or better in MTH 1100.  Note:  Credit will not count toward a major or minor in mathematics.  Also, Finite Mathematics cannot be taken for credit by students who have completed the Calculus sequence, without permission from the department chair.

MTH 1112 (3 SH) Pre-Calculus Algebra

This course emphasizes 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 1100.  Note:  Credit will not count toward a major or minor in mathematics.  Also, Pre-Calculus Algebra cannot be taken for credit by students who have completed the Calculus sequence, without permission from the department chair.

MTH 1115 (3 SH) Pre-Calculus Algebra and Trigonometry

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. Credit will not count toward a major or minor in mathematics.  Also, Pre-Calculus Algebra and Trigonometry cannot be taken by students who have completed the Calculus sequence, without permission from the department chair.  Prerequisites:  MTH 1112, appropriate score on the Mathematics Placement Test, or advanced placement.

MTH 1125 (4 SH) Calculus I

Limits, continuity, the derivative, applications of the derivative, Rolle’s Theorem, Mean Value Theorem, maximum and minimum problems, the differential, antidifferentiation and the definite integral, the application of the definite integral to area problems.  Prerequisites:  MTH 1115 or advanced placement. 

MTH 1126 (4 SH) Calculus II

Application of the definite integral, techniques of integrations, infinite series, polar coordinates, and parametric equations.  Prerequisites:  MTH 1125 or advanced placement.

MTH 2201 (3 SH) Business Calculus

An introductions 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:  A grade of C or better in MTH 1112 or 1115 or advanced placement.  Note:  Credit will not count toward a major or minor in mathematics.

MTH 2227 (4 SH) Calculus III

Vector functions, multi-variable functions, partial derivatives and their applications, quadratic surfaces, multiple integrations, and vector calculus.  Prerequisite:  MTH 1126 or advanced placement.

MTH 2251 (3 SH) Mathematical Concepts for Teachers I

An examination of some of the major topics encountered in the teaching of elementary mathematics with emphasis on number theory, numerical operations in the rational numbers, irrational numbers, estimation, and problem solving.  Prerequisite:  MTH 1110.  Note:  Credit will not count toward any major or minor in mathematics.

MTH 2252 (3 SH) Mathematical  Concepts for Teachers II

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, and similarity.  Prerequisites:  MTH 1110 and 2251.  Note:  Credit will not count toward a major or minor in mathematics.

MTH 3300 (3 SH) Selected Topics

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 3302 (3 SH) Introduction to Advanced Mathematics and Proof Techniques

Set theory, logic, number systems, functions, and proof writing techniques.  Prerequisite:  MTH 1126.

MTH 3311 (3 SH) Differential Equations

An introduction to ordinary differential equations.  Topics include first order methods, linear equations, the Laplace transforms, systems of equations, and applications.  Prerequisite:  MTH 2227 and MTH 3331.

MTH 3315 (3 SH) Mathematical Programming

Structured programming of a mathematical nature, arithmetic computations, algorithm design and control structures, input/output, data files, function and subprogram subroutines, intrinsic functions, array processing.  Prerequisite:  MTH 1126.  Note:  Credit will not count toward the non-teaching mathematics major, the mathematics education major, or the non-teaching mathematics minor. 

MTH 3319 (3 SH) Advanced Calculus

Functions of several variables, transformations, vector calculus, potential functions, line integrals, surface integrals.  Prerequisite:  MTH 1126 and MTH 3302.

MTH 3325 (3 SH) College Geometry

Incidence and separation of properties of planes and space, metric and synthetic approaches, geometric inequalities, parallel postulate, area-theory, circles in a plane, spheres and models for three geometries.  Prerequisite:  MTH 1126 and MTH 3302. 

MTH 3331 (3 SH) Linear Algebra

Matrix algebra, homogeneous and non-homogeneous systems, determinants, eigenvalues, eigenvectors, vector spaces, subspaces, linear independence, spanning sets.  Prerequisite or Co-requisite:  MTH 2227.

MTH 3340 (3 SH) Applied Statistics for the Sciences

Applications of statistical techniques, such as experimental design, hypothesis testing, parametric and non-parametric tests along with descriptive statistics, in contemporary research in the sciences.  This class will focus on the commonly used parametric statistical tests, their non-parametric counter parts, and the conditions under which each test is appropriate or inappropriate.  Prerequisite:  MTH 1125.  Note:  Credit will not count toward a major or minor in mathematics.

MTH 4412 (3 SH) Discrete Mathematical Methods

Graph theory, tress, algorithms, recurrence relations, and Boolean algebra.  Prerequisites:  MTH 2227 and MTH 3302.

MTH 4422 (3 SH) Numerical Analysis

Finite differences, interpolation, numerical integration and differentiation, solutions of equations of one variable, linear systems, and numerical solutions or ordinary differential equations.  Prerequisite:  MTH 2227, MTH 3331.

MTH 4423 (3 SH) Probability and Statistics I

Fundamentals of probability theory, sample spaces, mutual exclusion, independence, conditional probability, permutations and combinations, common discrete and continuous distributions, expected value, mean, variance, multivariate distributions, covariance, Central Limit Theorem.  Prerequisites:  MTH 2227 or permission of instructor. 

MTH 4424 (3 SH) Real Analysis I

Basic propositions of real variable theory to include the structure of the real number system, sequences, Bolzano Weierstrass theorem, Cauchy sequences, Heine-Borel and related theorems, differentiation, and the Riemann integral.  Prerequisite:  MTH 2227 and MTH 3302.

MTH 4425 (3 SH) Real Analysis II

Basic propositions of real variable theory to include metric and normed spaces, compactness and continuity, Fundamental Theorem of Calculus, pointwise and uniform convergence, power series, Lebesgue and Riemann integrals.  Prerequisite:  MTH 4424.

MTH 4426 (3 SH) Complex Analysis

Complex numbers, analytic functions, elementary functions and their mappings, integrals, contour integral, and Cauchy integral formula.  Prerequisite:  MTH 2227.

MTH 4436 (3 SH) Theory of Numbers

Divisibility, congruence, prime numbers, Fermat’s theorem, number theoretic functions.  Prerequisite:  MTH 2227 and MTH 3302.

MTH 4441 (3 SH) Algebraic Structures I

Equivalence relations and partitions.  Properties of the integers, modular arithmetic.  Elementary theory of groups, finite groups, subgroups, cyclic groups, permutation groups.  Isomorphisms.  Cosets and factor groups.  Direct products.  Prerequisites:  MTH 2227, 3302, 3331. 

MTH 4442 (3 SH) Algebraic Structures II
            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.  Polynomials. Prerequisite:  MTH 4441.

MTH 4423 (3 SH) Probability and Statistics II

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, Bayesion Estimation.  Prerequisite:  MTH 4423.

MTH 4460 (3 SH) Topology

An introduction to metric and topological spaces and associated topics, including interior and closure operators, separation axioms, compactness, and connectedness.  Prerequisite:  MTH 3302.

MTH 4481 (3 SH) Methods and Materials for Teaching Mathematics

Teaching methods, selection, organization, and use of mathematics material in secondary schools.  Observation and teaching experiences will be included.  Prerequisites:  EDU 3300, 3346, MTH 2227 or permission of instructor.  Credit will not count toward a non-teaching major or minor in mathematics.

MTH 4491-2  (1-3 SH) Guided Independent Research

            Additional information indexed under Guided Independent Research and Study.

MTH 4493-4  (1-3 SH) Guided Independent Study

            Additional information indexed under Guided Independent Research and Study.

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