88 courses with the subject MAT, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MAT 100Mathematics for Teachers of Children I with Support4
This course is designed to deepen prospective teachers' mathematical content knowledge by taking an in-depth exploration of elementary mathematics content including development of whole numbers, integers, and rational numbers (including fractions, ratios, proportions, and percents), and number sense through problem solving. This class integrates additional support to strengthen arithmetic and basic algebraic skills. For students seeking Certification in Gra PK-4 or 4-8 only.
This course is designed to deepen prospective teachers' mathematical content knowledge by taking an in-depth exploration of elementary mathematics content including development of whole numbers, integers, and rational numbers (including fractions, ratios, proportions, and percents), and number sense through problem solving. For students seeking Certification in Grades PK-4 or 4-8 only.
This course is designed to deepen prospective teachers' mathematical content knowledge by taking an in-depth exploration of elementary mathematics content including the development of algebraic reasoning, functions, geometry, measurement, and probability and statistics through problem solving. For students seeking Certification in Grades PK-4 or 4-8 only. MAT 102 Prerequisite: Successful completion of MAT 100 or MAT 101.
The course is designed to help prepare students to understand almost any quantitative issues 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. Equivalent courses: MAT 106
The course is designed to help prepare students to understand almost any quantitative issues 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. It integrates additional support to strengthen arithmetic, technological, and basic problem-solving skills. Equivalent courses: MAT 104
3 or or Algebra and Functions with Support 3 MAT 112 3 or or Algebra, Functions, and 3 MAT 115 Trigonometry or or Precalculus MAT 131 8 WRT 120 Effective Writing I 3 or or Effective Writing with Supplemental
Introduction to statistics and statistical inference. Concepts include: descriptive statistics, sampling distributions, confidence intervals, hypothesis testing, along with a formal introduction to linear regression and categorical data analysis. Statistical software including, but not limited to SPSS and Excel, will be used to facilitate the understanding of important statistical ideas and for the implementation of data analysis in many areas of application.
MAT 125Introduction to Statistics and Probability3
Introduction to probability, statistics, and statistical inference. Concepts include: descriptive statistics, probability, probability distributions, sampling distributions, confidence intervals, hypothesis testing, along with a formal introduction to linear regression and categorical data analysis. Statistical software, including but not limited to SPSS and Excel, will be used to facilitate the understanding of important statistical ideas and for the implementation of data analysis in many areas of application. MAT 125 Prerequisite: Successful completion of MAT 112 with a minimum grade of C-; or an appropriate score on the Mathematics Placement Examination. 2026-2027 CATALOG - UNDERGRADUATE
Topics include polynomial, rational, exponential, logarithmic, and trigonometric functions. An emphasis is placed on understanding function properties and graphs without the use of technology. Successful completion of this course prepares students for MAT 161. MAT 131 Prerequisite: Successful completion of MAT 112 or MAT 113 or MAT 115, with a minimum grade of C-; or an appropriate score on the Mathematics Placement Examination.
120 Other Required Courses 1 Biology CHE 341 Physical Chemistry I 4 m the CHE 342 Physical Chemistry II 3 4. CHE 409 Foundational Inorganic Chemistry 3 emistry CHE 411 Advanced Inorganic Chemistry 3 m the CHE 424 Advanced Analytical Chemistry 3
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. MAT 200 Prerequisite: Successful completion of MAT 161, with a minimum grade of C.
This course provides a hands-on introduction to practical computing in mathematics. Students develop tested, reusable programs to solve applied problems, with topics including numerical methods for root-finding, matrix computations, data visualization, and program debugging. Emphasis is placed on accurate and effective scientific programming for solving mathematical models. MAT 225 Prerequisite: Successful completion of CSC 141 or MAT 125; and MAT 161, MAT 143, or MAT 145; all with a minimum grade of C.
MAT 243Calculus and Linear Algebra for Applied Statistics4
This course is designed to survey concepts from calculus and linear algebra that are relevant to the study of applied statistics. Topics include a review of differentiation and the Fundamental Theorem of Calculus, techniques and applications of integration, infinite series, partial derivatives, multiple integrals, matrix operations, linear transformations, and eigenvectors.
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 261 Prerequisite: Successful completion of MAT 162, with minimum grades of C.
In this course we will explore several social issues and we will discuss methods which can quantitatively illustrate that are taking place. By doing so, the hope is that each student will learn mathematical skills and techniques. This tool kit of basic mathematical skills is often referred to as Quantitative Literacy (QL). Moreover as attainment of QL is itself a social justice issue, we will explore ways to carry these skills to historically marginalized groups through service learning projects.
An introduction to linear algebra. Topics covered include matrices, systems of linear equations, vector spaces, linear transformation, determinants, eigenvalues, spectral theorem, and triangulation. MAT 311 Prerequisite or Corequisite: MAT 162.
Formal structure of groups, rings, and fields with examples from the elementary curriculum. Topics from linear algebra including matrices, determinants, and linear programming. MAT 312 Prerequisite: Successful completion of MAT 102.
Modern informal approach to two- and three-dimensional geometric figures, measurement, similarity, congruence, coordinate geometry, and the postulational method.
An introduction to linear algebra and differential equations. Topics include matrices, vector spaces, linear dependence, determinant, eigenvalues and eigenvectors, ordinary differential equations, initial value problems, and systems of linear ordinary differential equations. Applications to physics and engineering will be emphasized. MAT 315 Prerequisite: Successful completion of MAT 162, with a minimum grade of C.
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 321 Prerequisite: Successful completion of MAT 162 and MAT 200, with minimum grades of C.
A basic introduction to numerical analysis and scientific computing. Topics which will be studied include: Computer arithmetic, approximation and interpolation of functions, numerical quadratures, solutions of linear systems by direct methods, numerical solutions of nonlinear scalar equations, numerical differentiation, introduction to one step methods for the numerical solution of ordinary differential equations. MAT 325 Prerequisite: Successful completion of MAT 162, with a minimum grade of C.
Geometric foundations from an advanced viewpoint. Topics are chosen from euclidean and noneuclidean geometrics. MAT 331 Prerequisite: Successful completion of MAT 162, with a minimum grade of C.
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 343 Prerequisite: Successful completion of MAT 162 and MAT 311, with minimum grades o of C.
In-depth treatment of current pedagogical strategies and materials for teaching concepts, including: early number sense; place value; addition, subtraction, multiplication, and division of whole numbers; and fractions in an elementary classroom. MAT 351 Prerequisite: Successful completion of MAT 100 or MAT 101; and MAT 102. Gen Ed Attribute: Writing Emphasis 419
MAT 352Methods for Teaching Children Mathematics II3
A continuation of the pedagogical strategies and methods for teaching the topics covered in MAT 351 extended to topics such as real numbers, geometry, percent, proportional reasoning, measurement, and algebra. MAT 352 Prerequisite: Successful completion of MAT 351. Teacher Candidacy and Field Clearances.
MAT 353Methods for Teaching Middle School Mathematics3
Techniques for teaching children mathematical concepts in the middle school standards. Topics covered include number, algebra, geometry, and probability and statistics. MAT 353 Prerequisite: Successful completion of MAT 121 and MAT 351. Teacher Candidacy and field clearances. Prerequisite or Corequisite: MAT 312 and MAT 313.
MAT 361Field Experiences in Elementary School Mathematics2
Teacher candidates enrolled in this course will develop and apply the knowledge, skills and dispositions needed to be an effective teacher of mathematics at the elementary level. This course will provide supportive and authentic learning experiences in local classrooms with practicing teachers. Teacher candidates will integrate content and pedagogical knowledge to develop instructional and assessment techniques that support all learners in mathematics. MAT 361 Prerequisite: Successful completion of MAT 100 or MAT 101; and MAT 102. Prerequisite or Corequisite: MAT 351.
The purpose of this course is to introduce the mathematical theory behind the concepts of: measurement of interest, annuities, yield rates, amortization of loans, sinking funds, and yiel rates. Understanding the fundamental concepts of financial mathematics, and how these concepts can be applied to calculate present and future values of various financial instruments is the prevailing theme of the course. MAT 371 Prerequisite: Successful completion of MAT 162, with a minimum grade of C.
Total Minimum Credits Required Choose MAT 353 if concentrating in mathematics. Choose SCI 101 if concentrating in science. Choose HIS 151 if concentrating in social studies. 2026-2027 CATALOG - UNDERGRADUATE B.S.ED. IN MIDDLE GRADES PREPARATION GRADES 4-8 is course fullls the Capstone requirement.
MAT 400History of Mathematics for Elementary Teachers3
History and development of elementary mathematics from primitive times to the discovery of calculus. Problems of the period are considered. MAT 400 Prerequisite: Successful completion of MAT 312 and MAT 313.
This course will cover selected topics from the history of mathematics. Many great mathematicians will be studied including Hippocrates, Euclid, Archimedes, Heron, Cardano, Newton, the Bernoulli Brothers, Euler, Gauss, and others. Mathematics problems will be approached using the methods and knowledge of the era studied. A solid background in undergraduate mathematics is required. MAT 401 Prerequisite: Successful completion of MAT 261, with a minimum grade of C. Gen Ed Attribute: Speaking Emphasis, Writing Emphasis
Topics announced at the time of offering. MAT 405 Prerequisite: Successful completion of MAT 162 with minimum grade of C, or permission of instructor. Repeatable for credit.
Abstract algebra. Algebraic systems, groups, rings, integral domains, and fields. MAT 411 Prerequisite: Successful completion of MAT 200, MAT 261, and MAT 311, with minimum grades of C.
Abstract algebra. Algebraic systems, groups, rings, integral domains, and fields. MAT 412 Prerequisite: Successful completion of MAT 411, with a minimum grade of C.
The focus of this course is to introduce students to computer algebra packages and review important topics in algebra, calculus and linear algebra. MAT 413 Prerequisite: Successful completion of MAT 162 and MAT 311, with minimum grades of C. 420
Properties of integers; primes, factorization, congruences, and quadratic reciprocity. MAT 414 Prerequisite: Successful completion of MAT 200 and MAT 261, with minimum grades of C.
An introduction to the mathematics behind various aspects of modern cryptography, including matrix cryptosystems, quadratic ciphers such as the Rabin cipher, exponential ciphers such as the Diffie-Hellman Key Exchange, the RSA algorithm and DES encryption. MAT 415 Prerequisite: Successful completion of MAT 161; and MAT 151 or MAT 200.
Probability; discrete distributions; continuous distributions; mathematical expectation; moment generating functions; bivariate distributions; distributions of functions of random variables. Use of appropriate technology. MAT 421 Prerequisite or Corequisite: MAT 261. Prerequisite requires a minimum grade of C.
Order statistics; point estimation; interval estimation; tests of statistical hypotheses; statistics power; least squares regression. Use of appropriate technology. MAT 422 Prerequisite: Successful completion of MAT 421; and MAT 121 or MAT 125, all with minimum grades of C.
Standard Concepts and methods of stochastic modeling and applications of stochastic d processes. MAT 423 Prerequisite: Successful completion of MAT 261, MAT 311, and MAT 421, with , minimum grades of C.
An examination of advanced topics in numerical analysis and scientific computing. Topics include: Approximation and interpolation of functions, numerical quadratures, matrix norms, iterative methods of numerical linear algebra, numerical solution of nonlinear systems of equations, and methods for the numerical solution of ordinary differential equations. MAT 425 Prerequisite: Successful completion of MAT 325, with a minimum grade of C.
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 427 Prerequisite: Successful completion of MAT 261 and MAT 311, with minimum grades of C.
Elements of point set topology. Separation axioms. Connectedness, compactness, and metrizability. MAT 432 Prerequisite: Successful completion of MAT 200 and MAT 261, with minimum grades of C.
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 433 Prerequisite: Successful completion of MAT 261 and MAT 343, with minimum grades of C.
Introduces the real line, limits of sequences, Cauchy sequences, limits of real functions, continuous functions, intermediate value theorem, the derivative, mean value theorems and Riemann integral. MAT 441 Prerequisite: Successful completion of MAT 200 and MAT 261, with minimum grades of C.
A continuation of MAT 441. Introduces infinite series, sequences and series of functions, Taylor's Theorem with applications and topics from integration theory. MAT 442 Prerequisite: Successful completion of MAT 441, with a minimum grade of C.
The techniques of analysis applied to problems in the physical sciences. Topics include partial differential equations, orthogonal functions, complex integration, and conformal mapping. MAT 443 Prerequisite: Successful completion of MAT 261, MAT 311, and MAT 343, with minimum grades of C. 2026-2027 CATALOG - UNDERGRADUATE
The techniques of analysis applied to problems in the physical sciences. Topics include partial differential equations, orthogonal functions, complex integration, and conformal mapping. MAT 444 Prerequisite: Successful completion of MAT 443, with a minimum grade of C.
Introduction to functions of a complex variable. Analytic functions, mappings, differentiation and integration, power series, and conformal mappings. MAT 445 Prerequisite: Successful completion of MAT 261, with a minimum grade of C.
This is a case study, team problem-solving based course focused on solving real-world problems that can be modeled using discrete or continuous mathematics techniques and which emanate from industry. Ideally, the problems would be obtained from partnerships with local industry. Until these relationships develop, extant problems or problems arising in WCU faculty research (in math, physics, biology, geology, finance, etc.) will be used. MAT 455 Prerequisite: Successful completion of STA 319, MAT 413, MAT 425; and MAT 427 or MAT 433. Gen Ed Attribute: Speaking Emphasis, Writing Emphasis
Students completing this course will have a better understanding of actuarial models of life contingencies, more specifically, students will understand that life insurance payments, life annuity payments, pension payments, etc. are determined by financial random variables dependent on human life. MAT 478 Prerequisite: Successful completion of MAT 371 and MAT 421, with minimum grades of C. Gen Ed Attribute: Speaking Emphasis, Writing Emphasis
This course aims to provide the undergraduate mathematics major with an introduction to the mathematics behind derivative pricing and portfolio management. Pricing theory is first developed through the typical binomial model and then is extended to continuous time via the Black-Scholes model. In addition, the student will be exposed to how arbitrage can be used to aid in the pricing more complicated derivatives, such as call options on dividend-paying securities and exotic options. MAT 479 Prerequisite: Successful completion of MAT 371 and MAT 421, with minimum grades of C. Gen Ed Attribute: Speaking Emphasis, Writing Emphasis
This capstone experience surveys important concepts from the pure mathematics curriculum and prepares students to investigate problems that reach beyond the standard course material. The course emphasizes techniques of mathematical writing and speaking on topics selected from calculus, linear algebra, real and complex analysis, abstract algebra, and topology. Gen Ed Attribute: Speaking Emphasis, Writing Emphasis
This course is designed to provide an intense review of the core concepts essential to the study of applied mathematics. Topics include the main theorems of differential and integral calculus; techniques and theorems of vector analysis; sequences and power series; complex arithmetic and elementary complex-valued functions; first-order, second-order, and systems of linear differential equations; matrix algebra and vector spaces. The computer algebra systems Matlab and Mathematica will be introduced as computational tools for these topics.
This course will cover selected topics from the history of mathematics. Many great mathematicians will be studied including Hippocrates, Euclid, Archimedes, Heron, Cardano, Newton, the Bernoulli Brothers, Euler, Gauss, and others. Mathematics problems will be approached using the methods and knowledge of the era studied. A solid background in undergraduate mathematics is required.
This course covers advanced topics in linear algebra. The basic notions of vector space, linear transformation, and determinant will be reviewed and used to study eigenspace theory, inner-product spaces, invariant subspaces, and various decompositions. Several applications throughout the course will be emphasized.
This course covers divisibility, linear congruence, the Chinese Remainder Theorem, Euler's phi function, primitive roots, and quadratic reciprocity. Additional topics may include public-key cryptography, Diophantine equations, continued fractions, and the distribution of primes.
This course provides a rigorous study of groups, group homomorphisms, products and sums, structure of groups, rings and their homomorphisms, ideals, and factorization properties.
This course is a continuation of MAT 515. Topics covered include fields, field extensions, and Galois theory. Additional topics such as modules or basic homological algebra may be explored as time permits.
This is an advanced topics course in abstract algebra. Topics may be chosen from group theory, ring theory, Lie theory, combinatorial algebra, algebraic geometry, homological algebra, and/or representation theory.
Topics from Discrete Mathematics including the study of logic, sets, relations, and counting will be introduced. Graphs and Graph Theory will be discussed, including Eulerian and Hamiltonian Graphs, Digraphs, Trees, Algorithms, Paths, Planarity, and Chromatic Numbers. Applications such as Social Network Analysis will be stressed.
This course is a continuation of MAT 532. Topics covered include inversive geometry, hyperbolic geometry, and elliptic geometry from a transformational point of view.
This course is a rigorous introduction to point-set topology. Topics covered include topological spaces and continuous functions, connectedness, compactness, separation axioms, metrization theorems, and function spaces.
This course is an introduction to the fundamental techniques of algebraic topology. Topics covered include fundamental groups and covering spaces, basic homological algebra, simplicial homology, singular homology, and cohomology.
Existence and uniqueness theory, linear and nonlinear systems, elements of stability theory, and fundamental theory of classical partial differential equations. MAT 543 Prerequisite: Successful completion of MAT 343 or equivalent; or permission of instructor. 210
This course provides a rigorous study of real-valued functions of a real variable. Topics include properties of the real numbers, convergence of sequences and series, basic topology of the real line, limits and continuity, the derivative and its applications, and the Riemann integral.
This course is a continuation of MAT 545. A central theme is the study of sequences and series of functions, with particular emphasis on the theory and applications of Taylor series and Fourier series. Additional topics, such as measure theory and the Lebesgue integral, may be explored as time permits.
MAT 548Industrial Mathematics - Continuous Models3
A survey of mathematical concepts, techniques, and numerical algorithms used to study real-world mathematical models. Application areas include population dynamics, feedback and control systems, traffic flow, epidemiology, mathematical biology, physiology, queues, efficient call and traffic routing, and optimal scheduling. The software package MATLAB will be used in the analysis of problems. MAT 548 Prerequisite: Successful completion of MAT 343 or equivalent.
This course provides an overview of deterministic operations research methodology including linear, integer, nonlinear, and dynamic programming, and classical optimization problems. The computer algebra system MATLAB and other software will be used as an investigative tool in analyzing the problems that arise.
This course introduces topics in stochastic optimization and control (including Markov chains, queueing theory, reliability theory, inventory theory, and forecasting), discrete-event and Monte Carlo simulation, and stochastic differential equations. Applications are drawn from manufacturing, finance, logistics, and service systems. The computer algebra system MATLAB and other software will be used as an investigative tool in analyzing these models.
This course illustrates the use of numerical schemes and computing tools in multiple computational science domains. The focus is on numerical methods (including solutions of linear and nonlinear algebraic equations, solutions of ordinary and partial differential equations, finite differences, linear programming, optimization algorithms, and fast-Fourier transforms) and appropriate scientific programming skills to assist in investigating mathematical models of phenomena in the physical, ecological, and financial realms.
This course covers basic properties of functions of a single complex variable. Topics include complex arithmetic, analytic functions and mappings, contour integrals, Cauchy's Theorem, Taylor and Laurent series, and the theory and application of residues.
This course is a continuation of MAT 609. The student will continue research under the guidance of a Mathematics Department faculty member and prepare their thesis for submission.
