Undergraduate Mathematics Courses

MAT 000 Fundamentals of Algebra      (3 s.h.)

A preparatory course to remediate basic algebraic skills. Students scoring between 440-480 on the mathematics section of the Scholastic Aptitude Test (SAT) and who do not pass the mathematics placement test are required to take this course prior to any other mathematics course. Credits earned in 000-level courses do not count towards the 120 hours of credit needed for graduation.  The course must be passed with a grade of C- or better.

MAT 001 Fundamental Skills in Arithmetic      (3 s.h.) 

A course designed to remediate basic arithmetic skills and to introduce elementary algebra.  In general, students placed in MAT 001 have scored below 440 on the math SAT. Students are being prepared to take Fundamentals of Algebra (MAT 000) and must earn at least a C- to enroll in that course.  A student in MAT 001 does not earn credit toward graduation for this course. Elementary and special education majors in need of algebraic and/or arithmetic remediation must enroll in MAT 001 and successfully pass with a grade of C- or better before being permitted to enroll in MAT 101.

MAT 101 Mathematics for Elementary Teachers I        (3 s.h.) 

Prerequisite: Math SAT greater than 480 or above or successful completion of MAT001

Sets; functions; logic; development of whole numbers, integers, and rationals (including ratios, proportions, and percents); number theory; problem solving.  For early childhood, elementary education, and special education majors only.

MAT 102 Mathematics for Elementary Teachers II       (3 s.h.)

         Prerequisite: MAT 101

Development of real numbers; geometry; measurement; probability and statistics; problem solving.  For elementary education and special education majors only.

MAT 103 Introduction to Mathematics (3 s.h.)

Prerequisite:  MATH SAT 480 or above or successful completion of MAT 000

This course is a liberal arts introduction to the nature of mathematics.  Topics are chosen from among logic, graph theory, number theory, symmetry (group theory), probability, statistics, infinite sets, geometry, game theory, and linear programming.  These topics are independent of each other and have as prerequisite the ability to read, reason, and follow a logical argument.

MAT 104 Introduction to Applied Mathematics             (3 s.h.)

Prerequisite:  MATH SAT 480 or above or successful completion of MAT 000

         This course is designed to help prepare students to understand almost any quantitative issue          they will encounter in contemporary society.  Topics are selected from the following:                    principles of reasoning, problem solving tools, financial management, exponential growth and          decay, probability, putting statistics to work, mathematics and the arts, discrete mathematics          in business and society, and the power of numbers.

MAT 105 College Algebra and Trigonometry               (3 s.h.)

A unified course in algebra and trigonometry.

MAT 107 College Algebra        (3 s.h.) 

Prerequisite:  SAT Math score of 480 or above or passing the Department’ placement test, or obtaining at least a C- in MAT 000

A thorough treatment of college algebra. Topics covered include the study of polynomial, exponential, and logarithmic functions, plus systems of linear equations..

MAT 108 Brief Calculus            (3 s.h.)

Prerequisite:  MAT105, MAT107, MAT110, or a Math SAT score of 590 or above

An intuitive approach to the calculus of one and several variables with emphasis on conceptual understanding and practical application,

MAT 110 Precalculus               (3 s.h.)

Prerequisite:  a passing grade on  the Department’s placement exam

A preparation for MAT 161, Calculus I. Topics include polynomial and rational functions, algebra of functions, graphs of functions, transcendental functions, trigonometry, series, induction, and complex numbers.

MAT 121 Statistics I      (3 s.h.)

Prerequisite:  Math SAT of 480 or above or successful completion of MAT 000.

Basic concepts of statistics. Frequency distributions, measures of central tendency and variability, probability and theoretical distribution, significance of differences, and hypothesis testing. For nonmathematics majors.

MTL 121 Statistics Lab I           (1 s.h.)

Prerequisite or Corequisite MAT 121

Introduces the student to using and programming the computer to solve statistical problems and to aid the student in understanding statistical concepts.

MAT 122 Statistics II     (3 s.h.)

Prerequisite:  MAT121 

Continuation of MAT 121.  Inference about the means, standard deviations and proportions, goodness of fit, analysis of variance, regression analysis, correlation, and nonparametric tests.

MAT 151 Introduction to Discrete Mathematics            (3 s.h.) 

Prerequisite:  Math SAT of 480 or above or successful completion of MAT 000.

Set theory, Boolean logic, elementary combinatorics, proofs, simple graph theory, and simple probability.

MAT 161 Calculus I                  (4 s.h.)

A math SAT score of 590 or above, or a C or above in MAT 105 or MAT 110.

Differential and integral calculus of real-valued functions of a single real variable, with applications.

MAT 162 Calculus II                 (4 s.h.)

Prerequisite: MAT 161 with a grade of C or better.

Continuation of MAT 161 including the study of series, methods of integration, transcendental functions, and applications to the sciences.

MAT 200:  The Nature of Mathematics

Topics include: The role of mathematics in contemporary society, career opportunities, mathematical notation and argument, structure of proofs, basic facts about logic, mathematical proofs, problem solving techniques, and introductions to mathematical software packages.

            Prerequisite: Mat161

Course should be taken by the end of the sophomore year and passed with a grade of at least a C before enrolling in higher-level mathematics course.

            Course content is currently under going revision.

MAT 209 Topics in Mathematics for the Elementary Teacher  (3 s.h.)

Prerequisite:  MAT 102

Introduction to programming in BASIC; computer uses for the classroom teacher; descriptive statistics with applications for teaching; and measurements of length, area, volume, and temperature that focus on the metric system with practice in the classroom. Additional topics in applied mathematics will be considered.

MAT 301:  The Scientific Revolution

         This course addresses how modern science began in the seventeenth

century.  It includes introductions to the heroes of science – Copernicus, Kepler, Galileo and Newton.  By examining its origins in the seventeenth century, the course addresses the nature of modern science.

This course counts toward both the Interdisciplinary (I) and Writing Emphasis (W) requirements.

MAT 311 Linear Algebra          (3 s.h.)

Prerequisite: MAT 110 or MAT 161

An introduction to linear algebra. Topics covered include matrices, systems of linear equations, vector spaces, linear transformation, determinants, eigenvalues, spectral theorem, and triangulation.

MAT 312 Algebra for Elementary Teachers      (3 s.h)

Prerequisite:  MAT 102

Formal structure of groups, rings, and fields with examples from the elementary curriculum. Topics from linear algebra including matrices, determinants, and linear programming..

MAT 221 Applied Statistics       (3 s.h.) 

Prerequisite: CSC 141 (or equivalent) and MAT 162 (or equivalent).

Probabilities, discrete and continuous probability distributions, methods of estimation, and hypothesis testing.

MAT 331 Foundations of Geometry      (3 s.h.) 

Prerequisite: MAT 161 or above

Geometric foundations from an advanced viewpoint. Topics are chosen from euclidean and noneuclidean geometries.

MAT 332 Differential Geometry            (3 s.h.)

Prerequisite:  MAT 261

Classical differential geometry from a modern viewpoint. Curves and surfaces and shape operators. Introduction to Riemann geometry.

MAT 333 Geometry for Elementary Teachers   (3 s.h.)

         Prerequisite: MAT 102

Modern informal approach to two- and three-dimensional geometric figures, measurement, similarity, congruence, coordinate geometry, and the postulational method.

MAT 261 Calculus III                (3 s.h.)

Prerequisite: MAT 162 

The calculus of several variables. Topics include polar coordinates, vectors and three-dimensional analytic geometry, differentiation of functions of several variables, multiple integrals, and line and surface integrals.

MAT 362 Calculus IV                (3 s.h.) 

Prerequisite:  MAT 261

The calculus of vector-valued functions of a vector variable. Derivatives and properties of the derivative including the chain rule, fields and conservative fields, integration, and Green's, Stokes', and Gauss' theorems.

MAT 281 Discrete Mathematics                        (4 s.h.)

Prerequisite: MAT 162

This course is designed to provide a foundation for the mathematics used in the theory and application of computer science. Topics include mathematical reasoning, the notion of proof, logic, sets, relations and functions, counting techniques, algorithmic analysis, modeling, cardinality, recursions and induction, graphs, and algebra..

MAT 321 Combinatorics and Graph Theory     (3 s.h) 

Prerequisite:  MAT 261

Introduction to set theory, graph theory, and combinatorial analysis. Includes relations, cardinality, elementary combinatorics, principles of inclusion and exclusion, recurrence relations, zero-one matrices, partitions, and Polya's Theorem.

Mat 330 Using Technology in Teaching Elementary School Mathematics  (3 s.h.)

           Prerequisite: MAT 101 and 102

          Using computer software, calculators, and the Internet as aids in teaching elementary school           mathematics

MAT 343 Differential Equations            (3 s.h) 

Prerequisite:  MAT 261

The general theory of nth order, and linear differential equations including existence and uniqueness criteria and linearity of the solution space. General solution techniques for variable coefficient equations, series solutions for variable coefficient equations, and study of systems of linear equations.

MAT 349 Teaching Mathematics in Early Childhood                (3 s.h) 

Prerequisite: MAT 101

Concepts, learning aids, syllabi, texts, and methods in early childhood mathematical teaching.

MAT 350 Foundations of Mathematics Education                     (3 s.h.)

Prerequisite:  MAT 231 and MAT 261

Historical overview of mathematics education with emphasis on influential curricular programs, implications of learning theory, significance of research, identification of current issues, organizational alternatives for the classroom, and evaluation resources..

MAT 351 Teaching Mathematics in Elementary Schools I        (3 s.h) 

Prerequisite:  MAT 101 and MAT102

Concepts, learning aids, syllabi, texts, and methods in elementary school mathematics.

MAT 352 Teaching Mathematics in Elementary Schools II       (3 s.h.) 

Prerequisite:  MAT 351

Techniques for teaching children concepts such as geometry in two and three dimensions, number sentences, graphing, ratios and percentages, quantifiers, etc. Use of laboratory materials will be emphasized.

MAT 354 Techniques of Teaching Secondary School Mathematics     (3 s.h.) 

Prerequisite:  MAT 350

Techniques used in the presentation of specific mathematical concepts, associated materials, levels of questioning, and motivational devices. Scope and sequence of secondary mathematics topics. Criteria for text evaluation. Preview of student teaching..

MAT 357 Teaching to Diverse Learners                       (3 s.h.) 

Prerequisite:  MAT 102

Methods and materials associated with the presentation of mathematics to the handicapped.  Emphasis on individualization and involving thinking skills at the concrete level.  Evaluative and interpretive techniques are included.

**MAT 390 Seminar in Mathematics Education                        (3 s.h.) 

Prerequisite:  MAT 351

Typical topics are remedial programs, low achiever programs, materials for mathematics education, methodology in mathematics education, mathematics and the computer, theories of mathematics education, and analysis of research in mathematics education.

MAT 400 History of Mathematics for Elementary Teachers                  (3 s.h.) 

Prerequisite: MAT 212 and MAT 233

History and development of elementary mathematics from primitive times to the discovery of calculus. Problems of the period are considered.

Development of mathematics from the Babylonian era to the 18th century. Some modern topics included

**MAT 405 Special Topics in Mathematics                   (3 s.h.) 

         Prerequisite:  Consent of Department Chairman

Topics and prerequisites announced at the time of offering.

MAT 411-412 Algebra I-II                      (3 s.h.) (3 s.h.) 

Prerequisite: MAT 261. MAT 411 must precede 412.

Abstract algebra. Algebraic systems, groups, rings, integral domains, and fields

MAT 414 Theory of Numbers                (3 s.h.) 

Prerequisite:  MAT 261

Properties of integers; primes, factorization, congruences, and quadratic reciprocity.

MAT 421-422 Mathematical Statistics I-II          (3 s.h), (3 s.h) 

Prerequisite: MAT 261. MAT 421 must precede 422.

Probability theory, discrete and continuous random variables, distributions, and moment generating functions. Statistical sampling theory, joint and interval estimation, test of hypothesis, regression, and correlation.

MAT 425 Numerical Analysis                (3 s.h.) 

Prerequisite: CSC 141 and MAT 261

Numerical methods for the approximate solution of applied problems. Interpolation theory, curve fitting, approximate integration, and numerical solution of differential equations

MAT 427 Introduction to Optimization Techniques                  (3 s.h.) 

Prerequisite: CSC 141 and MAT 261.

Nature of optimization problems: deterministic and stochastic, and discrete and continuous. Computer methods of solution, systematic and random search, linear quadratic, dynamic programming, and others.

MAT 432 Topology                   (3 s.h.) 

Prerequisite:  Completion of a 400 level mathematics course with a C or better

Elements of point set topology. Separation axioms. Connectedness, compactness, and metrizability.

MAT 441-442  Advanced Calculus I-II               (3 s.h) (3 s.h) 

Prerequisite: MAT 261.  MAT 441 must precede 442. A rigorous treatment of the calculus of a single real variable. Topics in several real variables and an introduction to Lebesque integration. 

MAT 443-444 Applied Analysis I-II                    (3 s.h) (3 s.h.) 

Prerequisite:  MAT 261.  MAT 443 must precede 444

The techniques of analysis applied to problems in the physical sciences. Topics include partial differential equations, orthogonal functions, complex integration, and conformal mapping.

MAT 445 Complex Variables                (3 s.h.) 

Prerequisite:  MAT261

Introduction to functions of a complex variable.  Analytic functions, mappings, differentiation and integration, power series, and conformal mappings

**MAT 490 Seminar in Mathematics                 (3 s.h.) 

Prerequisite: Senior standing and consent of Department Chairperson.

Topics in mathematics selected for their significance and student/instructor interest. Independent study and student reports, oral and written.

** May be taken again for credit.

MAT 493 Mathematical Modeling                     (3 s.h.) 

Prerequisite: MAT 261 and MAT 343.

The idea of a mathematical model of a real situation.  Techniques and rationales of model building. Examples from the life, physical, and social sciences.

**MAT 499 Independent Study             (1-3 s.h.)

         Prerequisite:  Written Permission of the instructor

Independent investigation of an area of mathematics not covered in the department’s course offerings.

** May be taken again for credit

STA 311 Introduction to Statistical Computing and Data Management

            This course will give students the ability to effectively manage and manipulate data,conduct             basic statistical analysis, and generate reports and graphics primarily using the SAS             Statistical Software Program