Below are listings for Undergraduate Courses offered through the Department of Mathematics. The authoritative source for course information is the Marshall University Catalog.
View the Mathematics upperdivision Undergraduate Course Offering (PDF) schedule for future semesters.
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100 Level Math and Statistics Courses
200 Level Math and Statistics Courses
300 Level Math and Statistics Courses
400 Level Math and Statistics Courses
100 Level Math and Statistics Courses
 MTH 102 – Preparation for College Mathematics B
 A masterybased course that will prepare students for College Algebra.
PR: Math ACT of 18 or below.
4 Credit Hours
General syllabus  MTH 102B – Abridged Preparation for College Mathematics B
 An abridged masterybased course that will prepare students for College Algebra.
PR: MTH100 or MTH121 or MTH121B; and permission of the Math Department.
1 Credit Hour
General syllabus  MTH 121 – Concepts and Applications of Mathematics (CT)
 Critical thinking course for nonscience majors that develops quantitative reasoning skills. Topics include logical thinking, problemsolving, linear modeling, beginning statistics and probability, exponential and logarithmic models, formula use, and financial concepts.
PR: ACT Math 19
3 Credit Hours
General syllabus  MTH 121B – Concepts and Applications of Mathematics Expanded Version (CT)
 A quantitative reasoning skills course for nonscience majors. Topics include logical thinking, problem solving strategies, beginning statistics and probability, exponential and logarithms modeling, formula use, with basic algebra review.
PR: ACT Math 18 or below.
4 Credit Hours
General syllabus  MTH 122 – Plane Trigonometry
 A study of the trigonometric functions, graphs of the trigonometric functions, identities, equations, inverse trigonometric functions, vectors, complex numbers, and applications.
PR: ACT Math 22 or MTH127 or MTH130.
3 Credit Hours
General syllabus  MTH 127 – College Algebra – Expanded Version
 A brief but careful review of the main techniques of algebra. Polynomial, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.
PR: ACT Math 17–20 or MTH102.
5 Credit Hours
General syllabus  MTH 130 – College Algebra
 Polynomial, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.
PR: ACT Math 21.
3 Credit Hours
General syllabus  MTH 132 – Precalculus with Science Applications
 Functions used in calculus including polynomial, rational, exponential, logarithmic, and trigonometric. Systems of equations and inequalities, conic sections, polar and parametric equations, sequences and series, Binomial Theorem.
PR: ACT Math 24 or MTH127 or MTH130.
5 Credit Hours
General syllabus  MTH 140 – Applied Calculus
 A brief survey of calculus including both differentiation and integration with applications. Not to be substituted for Mathematics 229.
PR: ACT Math 24 or MTH127 or MTH130.
3 Credit Hours
General syllabus  MTH 140H – Applied Calculus Honors
 A brief survey of calculus including both differentiation and integration with applications. This honors course will also introduce topics from differential equations with applications.
PR: ACT Math 25 or MTH127 or MTH130.
3 Credit Hours
General syllabus  STA 150 – Foundations of Statistics

A critical thinking course on the basic foundation of Statistics for nonmajors, allowing them to better prepare, develop and harness disciplinespecific skills.
PR: ACT Math 17.
Note: STA 150L must be taken as a corequisite.
3 Credit Hours  STA 150B – Foundations of Statistics Expanded

A critical thinking course on the basic foundation of Statistics for nonmajors with algebra review, allowing them to better prepare, develop and harness disciplinespecific skills.
Note: STA 150L must be taken as a corequisite.
5 Credit Hours  STA 150L – Foundations of Statistics Lab

A lab to provide training in using the SPSS software in Foundations of Statistics for nonmajors.
CR: STA 150 or STA 150B
3 Credit Hours  MTH 160 – Applied Mathematical Reasoning (CT)
 A critical thinking course in applied mathematical reasoning. Topics include logic, problem solving, linear modeling, beginning statistics and probability, exponential and logarithmic modeling, formula use.
PR: ACT Math 17 or MTH102.
5 Credit Hours
General syllabus
200 Level Math and Statistics Courses
 MTH 220 – Discrete Structures
 Sets, relations, directed and undirected graphs, monoids, groups, lattices, Boolean algebra, and propositional logic.
PR: ACT Math 27 or MTH132 or MTH229 or IST131.
3 Credit Hours
General syllabus  STA 225 – Introductory Statistics (CT)
 A critical thinking course in applied statistical reasoning covering basic probability, descriptive statistics and fundamental statistical inference procedures. Parameter estimation and hypothesis testing for variety of situations with wide applications.
PR: ACT Math 21 or MTH121 or higher.
3 Credit Hours
General syllabus  MTH 229 – Calculus with Analytic Geometry I (CT)
 An introduction to calculus and analytic geometry, emphasizing critical thinking. Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.
PR: ACT Math 27 or MTH132.
5 Credit Hours
General syllabus  MTH 229H – Calculus with Analytic Geometry I (Honors) (CT)
 An introduction to calculus and analytic geometry for honors students, emphasizing critical thinking. Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.
PR: ACT Math 27
5 Credit Hours
General syllabus  MTH 230 – Calculus with Analytic Geometry II
 Applications of the integral, techniques of integration, and infinite series. A study of conic sections, polar coordinates, and parametric equations.
PR: MTH229 or IST230.
4 Credit Hours
General syllabus  MTH 231 – Calculus with Analytic Geometry III
 Vectors, curves, and surfaces in space. Derivatives and integrals of functions of more than one variable. A study of the calculus of vectorvalued functions.
PR: MTH230.
4 Credit Hours
General syllabus  MTH 280283 – Special Topics
 Courses on special topics not listed among the current course offerings.
PR: Permission of instructor.
1 to 4 Credit Hours
300 Level Math and Statistics Courses
 MTH 300 – Introduction to Higher Mathematics
 A transition between elementary calculus and higher mathematics with emphasis on techniques of proofs.
PR: MTH230.
4 Credit Hours
General syllabus  STA 326 – Applied Statistical Methods
 Use of statistical packages; introduction to descriptive, probability and sampling distributions; forecasting, inferences concerning one and two samples; simple and multiple regression, analysis of variance and covariance.
PR: C or better in MTH225.
3 Credit Hours
General syllabus  MTH 329 – Elementary Linear Algebra
 Systems of linear equations, matrices and determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, and applications.
PR: ACT Math 27 or MTH132 or MTH229 or IST131.
3 Credit Hours
General syllabus  MTH 331 – Linear Algebra
 Vector spaces, matrices and determinants, linear transformations, eigenvalues and eigenvectors, and applications.
PR or CR: MTH300.
4 Credit Hours
General syllabus  MTH 335 – Differential Equations
 First and secondorder ordinary differential equations. Applications include vibrations and electrical circuits. Laplace transform, approximate solutions, orthogonal functions, Fourier series; partial differential equations including heat, wave, and Laplace equations.
PR: MTH231.
4 Credit Hours
General syllabus  STA 345 – Applied Probability and Statistics
 Statistical methods in scientific/engineering research, with emphasis on applications. Probability modeling, experimental design/survey sampling, estimation/hypothesis testing procedures, regression, ANOVA/factor analysis. Implementation using statistical software such as Excel/SAS.
PR: MTH230 or IST230.
3 Credit Hours
General syllabus  MTH 360 – Introduction to Complex Variables
 An introductory survey of complex numbers, analytic functions, properties of elementary functions, integrals, series, residues and poles, with a focus on practical applications.
PR: MTH231.
3 Credit Hours
General syllabus  MTH 361 – Vector Calculus
 A course in ndimensional calculus: the derivative, the integral, and applications. Coordinatefree methods are emphasized.
PR: MTH231.
3 Credit Hours
General syllabus
400 Level Math and Statistics Courses
 MTH 400 – Structure of Algebra
 Informal development of modern elementary algebra. Recommended for preservice middle school teachers and for elementary and secondary inservice teachers. May not be used for either a 512 mathematics specialization or for a degree offered by the Department of Mathematics.
PR: MTH130.
3 Credit Hours
General syllabus  MTH 401 – Structure of Modern Geometry
 Informal development of geometry with an exploration of probability and statistics. Recommended for pre service middle school teachers and for elementary and secondary inservice teachers. May not be used for either a 512 mathematics specialization or for a degree offered by the Department of Mathematics.
PR: MTH130 or MTH127.
3 Credit Hours
General syllabus  MTH 404 – Mathematics Methods and Materials
 Content and contentspecific pedagogy for secondary mathematics education majors.
PR: CI470 and Admitted to Teacher ED 5.
3 Credit Hours
General syllabus  MTH 405 – History of Mathematics
 A study of the history of mathematics from the time of the ancient Greeks to the end of the nineteenth century.
PR: MTH300.
3 Credit Hours
General syllabus  MTH 411 – Mathematical Modeling
 Students work in teams to construct mathematical models of various realworld situations. Problems to be modeled are drawn from diverse areas of application and use a wide range of undergraduate mathematics.
PR: MTH231.
3 Credit Hours
General syllabus  STA 412 – Regression Analysis
 Topics in determining regression models; deriving parameter estimates using calculus; detailed coverage of tests of assumptions and remedial procedures (transformations and weighted least squares); multiple and polynomial regression; tests and corrections for autocorrelation.
PR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor.
3 Credit Hours
General syllabus  STA 413 – Experimental Designs
 Principles of experimentation; analysis of variance and covariance; latin square and related designs; factorial designs, response surface; robustness; nested and splitplot designs.
PR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor
3 Credit Hours
General syllabus  MTH 415 – Partial Differential Equations
 Elementary partial differential equations. Heat Equation, Laplace’s Equation, separation of variables, Fourier series, vibrating strings, eigenvalue problems, finite differences, Bessel functions, Legendre polynomials.
PR: MTH331 and MTH335.
3 Credit Hours
General syllabus  MTH 416 – Advanced Differential Equations
 Differential equations are studied qualitatively. Topics include the existence and uniqueness of solutions and the behavior of solutions including stability of nonlinear systems, periodic solutions, and approximation using pertubation methods.
PR: MTH300 and MTH335.
3 Credit Hours
General syllabus  STA 420 – Nonparametric Methods
 Coverage of a variety of nonparametric or distributionfree methods for practical statistical inference problems in hypothesis testing and estimation, including rank procedures and randomization procedures.
PR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor
3 Credit Hours
General syllabus  STA 422 – Applied Time Series Analysis
 Finding statistical models to represent various time dependent phenomena and processes; coverage of a variety of forecasting techniques, with an emphasis on adaptive, regression, and BoxJenkins procedures.
PR: MTH230 or permission.
3 Credit Hours
General syllabus  STA 425 – Sampling Design and Estimation
 Coverage of the theory and applications of a variety of sampling designs, sample size determination; ration and regression estimated comparisons among the designs.
PR: STA 326 or permission of instructor
3 Credit Hours
General syllabus  MTH 427 – Advanced Calculus I
 A rigorous study of the real number system, continuity and differentiability of functions of a single variable, integration of functions of a single variable, infinite series.
PR: MTH231 and MTH300. CR: MTH331.
3 Credit Hours
General syllabus  MTH 428 – Advanced Calculus II
 A rigorous development of algebra and topology of Euclidean spaces, differentiability and integrability of functions of several variables.
PR: MTH427.
3 Credit Hours
General syllabus  MTH 430 – Topology I
 First course in topology. Basics of pointset topology: metric and topological spaces, continuity, connectedness, compactness, products, quotients. Surfaces and simplicial complexes, Euler characteristics.
PR: MTH300.
3 Credit Hours
General syllabus  MTH 431 – Topology II
 First course in algebraic topology. Homotopy, fundamental group, simplicial homology.
PR: MTH430 and MTH450.
3 Credit Hours
General syllabus  MTH 440 – Graph Theory and Combinatorics
 This course is designed to introduce students in mathematical sciences to the theorems, techniques, and applications of graph theory and combinatorics.
PR: MTH300.
3 Credit Hours
General syllabus  MTH 442 – Numerical Linear Algebra
 Direct and iterative methods for numerical solution of linear systems of equations. Eigenvalues and eigenvectors. Error Analysis and norms. Related topics and applications.
PR: MTH331.
3 Credit Hours
General syllabus  MTH 443 – Numerical Analysis
 Computer arithmetic, roots of equations, interpolation, linear systems, and numerical differentiation and integration. Analysis of errors in and convergence properties of algorithms. Computer implementation of methods.
PR: MTH331 and a programming language.
3 Credit Hours
General syllabus  STA 445 – Probability & Statistics I
 Probability spaces, conditional probability, and applications. Random variables, distributions, expectation, and moments.
PR: MTH231.
3 Credit Hours
General syllabus  STA 446 – Probability & Statistics II
 Statistical inference: estimation of parameters, tests of hypotheses. Regression, analysis of variance.
PR: STA445.
3 Credit Hours
General syllabus  MTH 448 – Modern Geometries
 Finite geometrics, basic background material for the modern development of Euclidean Geometry, other geometries.
PR: MTH300.
3 Credit Hours
General syllabus  MTH 449 – Projective Geometry
 Projective Geometry using both synthetic and algebraic methods.
PR: MTH300.
3 Credit Hours
General syllabus  MTH 450 – Modern Algebra I
 Structure of the abstract mathematical systems; groups, rings, fields, with illustrations and applications from number theory.
PR: MTH300 and MTH331.
3 Credit Hours
General syllabus  MTH 452 – Modern Algebra II
 Continuation of MTH 450.
PR: MTH450.
3 Credit Hours
General syllabus  MTH 455 – Number Theory
 A survey of some basic properties of the integers: divisibility (prime numbers, factorization, perfect numbers), congruences (modular arithmetic, linear and quadratic congruences, the Chinese Remainder Theorem), and Diophantine equations.
PR: MTH300.
3 Credit Hours
General syllabus  STA 464 – Statistical Computing
 Introduction to the commonly used statistical computing techniques, procedure and methods, with extensive use of R language and environment, and SAS for statistical computing and graphics.
PR: STA 445 or STA 446
3 Credit Hours
General syllabus  STA 466 – Stochastic Processes
 Review of probability theory. Topics include stationary processes, discrete and continuous time Markov chains, Markovian queueing systems, random walks, renewal processes, Brownian motion and Markov Chain Monte Carlo.
PR: MTH231 and MTH445
3 Credit Hours  STA 470 – Applied Survival Analysis
 Survival and hazard functions, parametric and nonparametric methods, models and inferences for survival data, and regression diagnosis.
PR: 445, or permission.
3 Credit Hours
General syllabus  MTH 480483 – Special Topics
 Courses on special topics not listed among the current course offerings.
PR: Permission of instructor.
1 to 4 Credit Hours  MTH 485488 – Independent Study
 An independent program of study of advanced topics not normally covered in other courses. The topics are chosen upon mutual agreement between the student and the instructor.
PR: Permission of instructor.
1 to 4 Credit Hours  MTH 490 – Internship
 A supervised internship in an area of mathematics, applied mathematics, or statistics. By permission only.
PR: MTH 300 and permission
2 to 12 Credit Hours  MTH 491 – Senior Seminar
 Capstone experience in reading, doing, writing and speaking mathematics. Students will explore topics related to a theme chosen by the instructor.
2 Credit Hours
General syllabus