MATHEMATICS AND STATISTICS COURSE DESCRIPTIONS       

All courses are offered every semester unless indicated differently.

Mathematics (MATH)

                050 - Intermediate Algebra—3 S.H.

A review of intermediate algebra topics designed to prepare the student for college-level mathematics.  MATH 050 is a non-degree credit course and will not count toward meeting minimum total credit requirements for graduation. P/NC only.

                100 - Survey of Mathematics—3 S.H.

Study of networking, probability, statistical inference, and logic designed to illustrate the connection between contemporary mathematics and modern society. Grade only. Prerequisite: qualifying score on the mathematics placement exam or MATH 050.  Note: This course fulfills certain Board of Teaching (BOT) requirements for Education majors.

                110 - Finite Mathematics—3 S.H.

Applications of matrices, linear programming, probability, and the mathematics of finance to real-life problems. This course provides the non-calculus mathematics background necessary for students in business, management, and social sciences. Prerequisite: qualifying score on the mathematics placement exam or MATH 050.

                120 - Precalculus—4 S.H.

A study of topics designed to give students the skills necessary for successful completion of calculus. Equation solving, graphing, functions and trigonometry are some of the main topics covered. Prerequisite: qualifying score on the mathematics placement exam or MATH 050.

                130 - Matrix Algebra—3 S.H.

An introduction to matrix algebra and elementary vector spaces with an emphasis on computation. Prerequisite: MATH 120

                140 - Applied Calculus—3 S.H.

An intuitive approach to calculus for students in business, management or the social sciences. Emphasis throughout is to enhance students’ understanding of how mathematics is used in real-world applications. Prerequisite: qualifying score on the mathematics placement exam or MATH 120.

                150-Modeling using Precalculus and Statistics, 155-Calculus Based Modeling—Each 3 S.H.

A two-semester sequence designed for earth and life-science majors to develop their algebraic, trigonometric, statistical, and calculus skills through modeling applications. Prerequisite for 150: qualifying score on the mathematics placement exam, or MATH 050. Prerequisite for MATH 155: MATH 150.

                160, 165 - Calculus I, II—Each 4 S.H.

Differential and integral calculus of functions of a single variable. Two semesters in sequence. Prerequisite: qualifying score on the mathematics placement exam or MATH 120.

                161 - Calculus Companion I: Skills for Success—1 S.H.

A course that reinforces students’ algebraic and trigonometric skills in the context of Calculus I. Intended to be taken concurrently with the instructor’s Calculus I course, students’ abilities with algebra and trigonometry are improved upon as they are needed in the calculus. Prerequisite: concurrent enrollment in instructor’s section of MATH 160 or instructor’s permission.

                166 - Calculus Companion II: Toward Your Continued Success—1 S.H.

Provides students with increased ability with topics of Calculus I as these are required in the development of Calculus II. Instruction is given in the application of the methods of calculus to new material as introduced in second semester calculus. Prerequisite: concurrent enrollment in instructor’s section of MATH 165 or instructor’s permission.

                210 - Discrete Mathematics and Foundations—4 S.H.

Introductory discrete mathematics including symbolic logic, elementary number theory, sequences, sets and combinatorics. Valid and invalid argument forms are studied, and direct and indirect methods of proof are introduced. Prerequisite: MATH 110 or MATH 120 or MATH 150.

                220 – Combinatorics and Graph Theory—3 S.H.

Combinatorics topics will include permutations, combinations, multisets, sequences, generating functions, inclusion-exclusion, and recursion. Combinatorics topics will focus on applications in probability. Graph theory topics will include planarity, transversibility, trees, and directed graphs. Prerequisites: MATH 110 or MATH 120 or MATH 150 or sufficient score Calculus Readiness Mathematics Placement Exam. Offered each semester.

                260 - Multivariable Calculus—4 S.H.

 A continuation of MATH 165. Partial differentiation and multiple integration are studied. Prerequisite: MATH 165.

                270 - Differential Equations and Linear Algebra—4 S.H.

Solution techniques for ordinary differential equations including boundary/initial value problems and systems of first-order equations. Topics include linear homogeneous and non-homogeneous differential equations and the Laplace transform. Methods of linear algebra are studied as they apply to the solution of differential equations. Prerequisite: MATH 165.

                280 - Special Topics—1-3 S.H.

Exposure to lower-division mathematical topics not included in other courses. Prerequisite: determined by topics. Offered on demand.

                310 - Number Theory—3 S.H.

A study of primes, divisibility, congruences, number-theoretic functions and diophantine equations. Prerequisite: MATH 165 and MATH 210. Offered spring semester.

                315 – Chaos Theory—3 S.H.

An introduction to chaos theory and fractal geometry.  Topics will include bifurcations, Julia sets, the Mandelbrot set, fractal geometry, iterated function systems and a survey of the applications of this theory to a variety of disciplines.  Prerequisite:  MATH 160. Offered Spring Semester.

                320 - Theory of Functions of a Complex Variable—3 S.H.

The calculus of functions of a complex variable including differentiability, analyticity, and integration. Additional topics include the residue theorem. Prerequisite: MATH 260. Offered on demand.

                330, 335 - Advanced Calculus I, II—Each 4 S.H.
A systematic approach to the theory of differential and integral calculus for functions and transformations in several variables. Prerequisite: MATH 210 and MATH 260.

                340 - Advanced Linear Algebra—3 S.H.

A continuation of MATH 130 with emphasis on more general vector spaces. Additional topics include linear transformations, inner product spaces, eigen-systems, diagonalization of matrices, and canonical forms. Prerequisite: MATH 130 or MATH 270 or permission of instructor. Strongly recommended: Completion of MATH 160 and MATH 165 prior to enrollment. Offered alternate spring semesters  (next offered Spring 2006).

                410 - History of Mathematics—3 S.H.

General view of the historical development of the elementary branches of mathematics. Prerequisites: MATH 160 and MATH 210. Offered spring semester.

                420 - Numerical Analysis—4 S.H.

Numerical solution of equations, numerical interpolation, differentiation, and integration, numerical linear algebra, numerical solution of differential equations with analysis and use of algorithms and related software. Prerequisite: CS 231 or CS 234 and MATH 260. Offered alternate fall semesters (next offered Fall 2005).

                430 - Operations Research: Linear Programming—3 S.H.

An introduction to linear programming, including the simplex method. Other topics chosen from duality, sensitivity analysis, and the transportation and assignment problems. Prerequisite: one calculus course. Recommended: one linear algebra course. Offered alternate fall semesters (next offered Fall 2004).

                435 - Operations Research: Modeling—3 S.H.

This course emphasizes mathematical model building: problem identification and model construction. Topics chosen from among network flow analysis, nonlinear mathematical programming, queuing theory, simulation, integer programming and Markov chains. Prerequisite: one calculus course. Recommended: one course in probability and statistics, and more than one course in calculus. Offered alternate spring semesters (next offered Spring 2005).

                440 - Abstract Algebra—4 S.H.

Axiomatic development of groups, rings and fields. Prerequisite: MATH 210. Offered fall semester.

                450 - Introduction to Topology—3 S.H.

A study of indexed families of sets, mappings, diagrams, continuity, neighborhoods, limit points, open and closed sets. Prerequisites: MATH 165 and MATH 210. Offered on demand.

                460 - Real Analysis—3 S.H.

Measurable sets, measurable functions, and the theory and methods of Lebesgue integration. Additional topics at the instructor’s discretion, e.g., summability, L theory of Fourier series, orthogonal expansions in L, famous theorems of analysis. Prerequisite: MATH 330. Offered on demand.

                470 - Math Projects—1-4 S.H.

Practical experience in working on real problems or research under the supervision of a faculty member. Prerequisite: instructor’s permission. Offered on demand. 

                480 - Special Topics—1-3 S.H.

Exposure to mathematical topics not included in other courses. Prerequisite: determined by topics. Offered on demand. 

                490 - Independent Problems in Mathematics-1-4 S.H.

An opportunity to continue study of selected topics. Prerequisite: instructor’s permission. Offered on demand.

Mathematics Education  (MTED)

                125 - Mathematics for Elementary Teachers—4 S.H.

The study of concepts and properties of operations essential to mathematics in the elementary and middle school grades. Prerequisite: completion of basic skills mathematics (MATH) requirement.

                201 - Technology Based Geometry and Other Essential Mathematics for Elementary Teachers—4 S.H.

Study of additional mathematical topics essential to mathematics in the elementary and middle school grades including Euclidean geometry. Prerequisite: MTED 125.

                289 - Special Topics—1-3 S.H.

Exposure to lower-division mathematics education topics not included in other courses. Prerequisite: determined by topics. Offered on demand.

                290 - Independent Problems in Mathematics Education—1-3 S.H.

 An opportunity to study selected lower-division topics in mathematics education. Prerequisite: instructor’s permission. Offered on demand.

                320 - Teaching Mathematics in the Secondary Schools I—3 S.H.

Organization and methods of teaching mathematics in the secondary school. The course includes a Teaching Assistantship experience. (Approximately 30 additional hours.) Prerequisites: MATH 165, MATH 210 and EDUC 306. Offered spring semester.

                322 - Modern Geometry—4 S.H.

This course is designed to give the prospective teacher of secondary school geometry an exposure to the concepts of non-Euclidean geometries, their relation to, and their impact on secondary school geometry. Teaching methodology and related items will be incorporated throughout the course. Prerequisites: MATH 165 and MATH 210. Offered spring semester.

                420 - Teaching Mathematics in the Secondary Schools II—3 S.H.

The course is an extension of MTED 320 with emphasis on appropriate uses of technology, teaching strategies, assessment, learning theory related to mathematics and research on current issues in mathematics education. A public presentation and field experience are required.  Prerequisite: MTED 320. Offered fall semester.

                421 - Middle School Methods in Mathematics—1 S.H.

Organization and methods of teaching mathematics in the middle school, including a ten-hour field experience.  Prerequisite: MATH 210 or MTED 125.

                489 - Special Topics—1-3 S.H.

Exposure to mathematics education topics not included in other courses. Prerequisite: determined by topics.

                490 - Independent Problems in Mathematics Education—1-4 S.H.

An opportunity to continue study of selected topics in mathematics education. Prerequisite: instructor’s permission.

Statistics  (STAT)

                110 - Fundamentals of Statistics—3 S.H.

Introductory statistics with emphasis on applications. NOTE: Students in certain majors should take STAT 210 instead of STAT 110.  Prerequisite: Qualifying score on the mathematics placement exam or MATH 050.

                115 - Laboratory in Statistics—1 S.H.

This course will provide experience in collecting data, analyzing data, and the writing of statistical reports. Students will study statistical concepts through activities and projects which involve the collecting and analyzing of data. Techniques for summarizing, analyzing and interpreting large sets of data will also be discussed. Emphasis will be on practical problem-solving with real data sets using appropriate computer software packages. Prerequisite: completion of any introductory statistics course or instructor’s permission.

                210 - Statistics—3 S.H.

First course in statistics for students with a strong mathematics background. Prerequisites: MATH 140 or MATH 160.

                250 – Actuarial Exam Preparation—2 S.H.

This is an independent study course designed to help students with actuarial exam preparation. Students enrolled in this course are required to take the appropriate exam at the date nearest completion of this course. Course cannot be applied toward fulfilling major or minor program requirements. Prerequisites: instructor’s permission. Offered on demand.

                255 – Data Management Using SAS—3 S.H.

An introduction to the statistical package SAS. The course will focus on DATA step programming and selected basic PROC routines, with an introduction to SAS/GRAPH if time permits. Prerequisite:  STAT 110 or equivalent.  Offered spring semester.

                289 - Special Topics—1-3 S.H.

Exposure to lower-division statistical topics not included in other courses. Prerequisite: determined by topics. Offered on demand.

                290 – Independent Problems in Statistics 1—4 S.H.

Exposure to statistical topics not included in other courses. Prerequisite: instructor’s permission. Offered on demand.

                303 - Introduction to Engineering Statistics—3 S.H.

Introduction to statistics and quality control concepts and techniques. Topics include graphical techniques, descriptive statistics, probability distributions, hypothesis testing, control charts, process capability studies, and additional topics in total quality management. Credit will not be given for both STAT 210 and STAT 303. Prerequisite: MATH 160. Offered fall semester.

                305 - Biometry—3 S.H.

An introductory course of statistical applications to the biological sciences. Data reduction, sampling, techniques of estimation, hypothesis testing, and model verification procedures are included. Diversity indices, techniques of species sampling, and other specific biometric methods will be covered. Prerequisite: MATH 120 or MATH 150 or instructor’s permission. (Cannot be used as a MATH or STAT elective for mathematics, mathematics education or statistics majors.)

                310 - Intermediate Statistics—3 S.H.

A second course in statistics covering regression, measures of association, and analysis of variance. Interpretation of computer output and applications will be emphasized throughout. Prerequisites: STAT 110, STAT 210, STAT 303, STAT 305, PSY 231 or equivalent. Credit will not be given for STAT 310 if the student has completed STAT 360 or STAT 365.

                320 - Statistical Quality Control—3 S.H.

An introduction to the basic philosophy of quality control and statistical tools used in quality control. Tools to include control charts, Ishikawa fishbone charts, Pareto charts, histograms, stem-and-leaf plots and dot plots. There will be industrial case studies and tours of local industries (when available). Prerequisite: an introductory statistics course (preferably STAT 210). Offered fall semester.

                321 - Industrial Design of Experiments I—3 S.H.

An introduction to applications of statistical methods used by industrial researchers to aid in the solution of certain types of industrial problems. Methods to include analysis of means, analysis of variance, factorial designs, fractional factorial (screening) designs. There will be industrial case studies and actual (hands-on) experience at local industries (when available). Prerequisite: an introductory statistics course (preferably STAT 210). Offered spring semester.

                322 - Industrial Design of Experiments II—3 S.H.

A second course in experimental design methods in industry. Topics may include empirical model building, review of factorial and fractional factorial designs, process improvement with steepest ascent, analysis of response surfaces, experimental designs for fitting response surfaces, Taguchi’s robust parameter designs, experiments with mixtures. Prerequisite: STAT 321 or instructor’s permission. Offered on demand.

                350 - Design of Samples and Surveys—3 S.H.

Practical problems of surveys. Design of optimal surveys. Questionnaire design. Practical problems of sampling. Design of optimal sampling procedures. Adapting standard statistical techniques to specialized sampling design. Prerequisites: an introductory statistics course (preferably STAT 210) and MATH 120. Offered fall semester.

                355 - Nonparametric Statistics—3 S.H.

Statistical methods based on runs, the empirical distribution function and ranks. Topics will include one and two sample tests, ANOVA, goodness of fit tests, rank regression, correlation, and confidence intervals. Both applications and theory emphasized. Prerequisite: STAT 110 or STAT 210. Offered alternate fall semesters.

                360 - Regression Analysis—3 S.H.

Simple linear regression, multiple regression, hypothesis testing, analysis of residuals, stepwise regression. Interpretation of computer output will be emphasized. Prerequisites: an introductory statistics course (preferably STAT 210) and MATH 120 and completion of or concurrent enrollment in MATH 130 or MATH 270 is recommended. Offered fall semester.

                365 - Experimental Design and Analysis—3 S.H.

One-way Analysis of Variance, planned comparisons, post-hoc procedures, two- and three-way Analysis of Variance, experimental design, Analysis of Covariance. Interpretation of computer output will be emphasized. Prerequisites: An introductory statistics course (preferably STAT 210) and MATH 120. STAT 360 is recommended. Offered spring semester.

                415 - Multivariate Analysis—3 S.H.

Statistical analysis of multivariate data. Topics will include preparation of data for analysis, selection of techniques appropriate to research questions, measures of association for continuous and discrete variables, Hotelling’s T, MANOVA, MANCOVA, discriminant analysis, principal component and factor analysis. This is a computer-oriented course with emphasis on application. Prerequisites: MATH 130 or MATH 270, STAT 360 or instructor’s permission. Offered alternate spring semesters.

                425 – Modern Methods of Data Analysis—3 S.H.

An introduction to the use of the computer as a powerful tool in data analysis. Topics will include statistical graphics, advanced regression techniques, curve fitting and smoothing, generalized additive models, CART, multivariate techniques, cross-validation and the bootstrap. Additional topics that may be covered are random number generation and Monte Carlo simulation methods. Prerequisites: MATH 165 and STAT 360. Offered alternate spring semesters.

                440 - Epidemiology—3 S.H.

A general introduction to the concepts and methods of epidemiology as they are applied in a variety of disease situations. Topics include modeling the disease process in a population; retrospective, prospective and observational studies; rates, ratios and data interpretation; and evaluation of epidemiological information. Prerequisite: an introductory statistics course. Offered spring semester.

                450, 460 - Introduction to Mathematical Statistics I, II—Each 3 S.H.

A mathematical approach to probability and statistics. Prerequisite: MATH 260 and completion of or concurrent enrollment in MATH 220.  Offered alternate school years, as a fall/spring sequence.

                455 - Stochastic Processes—3 S.H.

An introduction to stochastic processes. Topics will include underlying probability theory, random variables, conditioning, Markov chains, exponential distribution, and Poisson processes. Both applications and theory will be emphasized. Prerequisite: STAT 450. Offered alternate spring semesters.

                488 - Statistics Projects—1-6 S.H.

Practical experience working on real problems under the supervision of a faculty member experienced in statistics. Prerequisite: instructor’s permission. Offered on demand.

                489 - Special Topics—1-3 S.H.

Exposure to statistical topics not included in other courses. Prerequisite: determined by topics. Offered on demand.

                490 - Independent Problems in Statistics—1-4 S.H.

An opportunity for continued study of selected topics. Prerequisite: instructor’s permission. Offered on demand.

                492 - Practicum in Statistics—3-6 S.H.

Provides the student with experience and training in statistical techniques. The student will work a minimum of 100 hours (3 credits) or a minimum of 200 hours (6 credits) on a job utilizing statistics. Prerequisite: instructor’s permission. P/NC only. Offered on demand.

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