{"id":209,"date":"2016-09-19T15:50:39","date_gmt":"2016-09-19T20:50:39","guid":{"rendered":"http:\/\/www.marshall.edu\/math\/?page_id=209"},"modified":"2023-10-12T10:41:43","modified_gmt":"2023-10-12T14:41:43","slug":"courses","status":"publish","type":"page","link":"https:\/\/www.marshall.edu\/math\/undergraduate\/courses\/","title":{"rendered":"Undergraduate Courses in Mathematics and Statistics"},"content":{"rendered":"<p>Below are listings for Undergraduate Courses offered through the Department of Mathematics. The authoritative source for course information is the <a href=\"https:\/\/catalog.marshall.edu\">Marshall University Catalog<\/a>.<\/p>\n<p>View the Mathematics upper-division <a href=\"https:\/\/www.marshall.edu\/math\/files\/New-Course-Rotation-UG-Oct19.pdf\">Undergraduate Course Offering (PDF)<\/a> schedule for future semesters.<\/p>\n<h2>Jump to<\/h2>\n<p><a href=\"#100\">100 Level Math and Statistics Courses<\/a><br \/>\n<a href=\"#200\">200 Level Math and Statistics Courses<\/a><br \/>\n<a href=\"#300\">300 Level Math and Statistics Courses<\/a><br \/>\n<a href=\"#400\">400 Level Math and Statistics Courses<\/a><\/p>\n<p>&nbsp;<\/p>\n<h3>100 Level Math and Statistics Courses<\/h3>\n<dl>\n<dt><strong>MTH 102 &#8211; Preparation for College Mathematics B<\/strong><\/dt>\n<dd>A mastery-based course that will prepare students for College Algebra.<br \/>\nPR: Math ACT of 18 or below.<br \/>\n<em>4 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-102.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 102B &#8211; Abridged Preparation for College Mathematics B<\/strong><\/dt>\n<dd>An abridged mastery-based course that will prepare students for College Algebra.<br \/>\nPR: MTH100 or MTH121 or MTH121B; and permission of the Math Department.<br \/>\n<em>1 Credit Hour<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-102B.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 121 &#8211; Concepts and Applications of Mathematics (CT)<\/strong><\/dt>\n<dd>Critical thinking course for non-science majors that develops quantitative reasoning skills. Topics include logical thinking, problem-solving, linear modeling, beginning statistics and probability, exponential and logarithmic models, formula use, and financial concepts.<br \/>\nPR: ACT\u00a0Math\u00a019<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-121.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 121B &#8211; Concepts and Applications of Mathematics Expanded Version (CT)<\/strong><\/dt>\n<dd>A quantitative reasoning skills course for non-science majors. Topics include logical thinking, problem solving strategies, beginning statistics and probability, exponential and logarithms modeling, formula use, with basic algebra review.<br \/>\nPR:\u00a0ACT\u00a0Math\u00a018 or below.<br \/>\n<em>4 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-121B.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 121H &#8211; Concepts and Applications of Mathematics &#8211; Honors (CT)<\/strong><\/dt>\n<dd>A quantitative reasoning skills course for non-science majors. Topics include logical thinking, problem solving strategies, beginning statistics and probability, exponential and logarithms modeling, formula use, with basic algebra review.<br \/>\nPR: ACT Math 23.<br \/>\n<em>4 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-121B.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 122 &#8211; Plane Trigonometry<\/strong><\/dt>\n<dd>A study of the trigonometric functions, graphs of the trigonometric functions, identities, equations, inverse trigonometric functions, vectors, complex numbers, and applications.<br \/>\nPR: ACT\u00a0Math\u00a022 or MTH127 or MTH130.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-122.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 127 &#8211; College Algebra &#8211; Expanded Version<\/strong><\/dt>\n<dd>A brief but careful review of the main techniques of algebra. Polynomial, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.<br \/>\nPR: ACT\u00a0Math\u00a017\u201320 or MTH102.<br \/>\n<em>5 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-127.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 130 &#8211; College Algebra<\/strong><\/dt>\n<dd>Polynomial, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.<br \/>\nPR: ACT\u00a0Math\u00a021.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-127.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 132 &#8211; Precalculus with Science Applications<\/strong><\/dt>\n<dd>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.<br \/>\nPR: ACT\u00a0Math\u00a024 or MTH127 or MTH130.<br \/>\n<em>5 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-132.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 140 &#8211; Applied Calculus<\/strong><\/dt>\n<dd>A brief survey of calculus including both differentiation and integration with applications. Not to be substituted for Mathematics 229.<br \/>\nPR: ACT\u00a0Math\u00a024 or MTH127 or MTH130.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-140.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 140H &#8211; Applied Calculus Honors<\/strong><\/dt>\n<dd>A brief survey of calculus including both differentiation and integration with applications. This honors course will also introduce topics from differential equations with applications.<br \/>\nPR: ACT\u00a0Math\u00a025 or MTH127 or MTH130.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-140H.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 150 &#8211; Foundations of Statistics<\/strong><\/dt>\n<dd>A critical thinking course on the basic foundation of Statistics for non-majors, allowing them to better prepare, develop and harness discipline-specific skills.<br \/>\nPR: ACT\u00a0Math\u00a017.<br \/>\nNote: STA 150L must be taken as a corequisite.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>STA 150B &#8211; Foundations of Statistics Expanded<\/strong><\/dt>\n<dd>A critical thinking course on the basic foundation of Statistics for non-majors with algebra review, allowing them to better prepare, develop and harness discipline-specific skills.<br \/>\nNote: STA 150L must be taken as a corequisite.<br \/>\n<em>5 Credit Hours<\/em><\/dd>\n<dt><strong>STA 150L &#8211; Foundations of Statistics Lab<\/strong><\/dt>\n<dd>A lab to provide training in using the SPSS software in Foundations of Statistics for non-majors.<br \/>\nCR: STA 150 or STA 150B<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 160 &#8211; Applied Mathematical Reasoning (CT)<\/strong><\/dt>\n<dd>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.<br \/>\nPR: ACT\u00a0Math\u00a017 or MTH102.<br \/>\n<em>5 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-160.pdf\">General syllabus<\/a><\/dd>\n<\/dl>\n<p>&nbsp;<\/p>\n<h3>200 Level Math and Statistics Courses<\/h3>\n<dl>\n<dt><strong>MTH 220 &#8211; Discrete Structures<\/strong><\/dt>\n<dd>Sets, relations, directed and undirected graphs, monoids, groups, lattices, Boolean algebra, and propositional logic.<br \/>\nPR: ACT\u00a0Math\u00a027 or a grade of C or higher in MTH132 or MTH 140 or MTH229.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-220.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 225 &#8211; Introductory Statistics (CT)<\/strong><\/dt>\n<dd>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.<br \/>\nPR: ACT\u00a0Math\u00a021 or MTH121 or higher.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-225.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 229 &#8211; Calculus with Analytic Geometry I (CT)<\/strong><\/dt>\n<dd>An introduction to calculus and analytic geometry, emphasizing critical thinking. Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.<br \/>\nPR: ACT\u00a0Math\u00a027 or MTH132.<br \/>\n<em>5 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-229.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 229H &#8211; Calculus with Analytic Geometry I (Honors) (CT)<\/strong><\/dt>\n<dd>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.<br \/>\nPR: ACT\u00a0Math\u00a027<br \/>\n<em>5 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-229H.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 230 &#8211; Calculus with Analytic Geometry II<\/strong><\/dt>\n<dd>Applications of the integral, techniques of integration, and infinite series. A study of conic sections, polar coordinates, and parametric equations.<br \/>\nPR: MTH229 or IST230.<br \/>\n<em>4 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-230.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 231 &#8211; Calculus with Analytic Geometry III<\/strong><\/dt>\n<dd>Vectors, curves, and surfaces in space. Derivatives and integrals of functions of more than one variable. A study of the calculus of vector-valued functions.<br \/>\nPR: MTH230.<br \/>\n<em>4 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-231.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 280-283 &#8211; Special Topics<\/strong><\/dt>\n<dd>Courses on special topics not listed among the current course offerings.<br \/>\nPR: Permission of instructor.<br \/>\n<em>1 to 4 Credit Hours<\/em><\/dd>\n<\/dl>\n<p>&nbsp;<\/p>\n<h3>300 Level Math and Statistics Courses<\/h3>\n<dl>\n<dt><strong>MTH 300 &#8211; Introduction to Higher Mathematics<\/strong><\/dt>\n<dd>A transition between elementary calculus and higher mathematics with emphasis on techniques of proofs.<br \/>\nPR: MTH230.<br \/>\n<em>4 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-300.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 326 &#8211; Applied Statistical Methods<\/strong><\/dt>\n<dd>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.<br \/>\nPR: C or better in MTH225.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-326.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 329 &#8211; Elementary Linear Algebra<\/strong><\/dt>\n<dd>Systems of linear equations, matrices and determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, and applications.<br \/>\nPR: ACT\u00a0Math\u00a027 or MTH132 or MTH229 or IST131.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-329.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 331 &#8211; Linear Algebra<\/strong><\/dt>\n<dd>Vector spaces, matrices and determinants, linear transformations, eigenvalues and eigenvectors, and applications.<br \/>\nPR or CR: MTH300.<br \/>\n<em>4 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-331.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 335 &#8211; Differential Equations<\/strong><\/dt>\n<dd>First and second-order 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.<br \/>\nPR: MTH231.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-335.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 345 &#8211; Applied Probability and Statistics<\/strong><\/dt>\n<dd>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.<br \/>\nPR: MTH230 or IST230.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-345.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 360 &#8211; Introduction to Complex Variables<\/strong><\/dt>\n<dd>An introductory survey of complex numbers, analytic functions, properties of elementary functions, integrals, series, residues and poles, with a focus on practical applications.<br \/>\nPR: MTH231.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-360.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 361 &#8211; Vector Calculus<\/strong><\/dt>\n<dd>A course in n-dimensional calculus: the derivative, the integral, and applications. Coordinate-free methods are emphasized.<br \/>\nPR: MTH231.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-361.pdf\">General syllabus<\/a><\/dd>\n<\/dl>\n<p>&nbsp;<\/p>\n<h3>400 Level Math and Statistics Courses<\/h3>\n<dl>\n<dt><strong>MTH 400 &#8211; Structure of Algebra<\/strong><\/dt>\n<dd>Informal development of modern elementary algebra. Recommended for pre-service middle school teachers and for elementary and secondary in-service teachers. May not be used for either a 5-12 mathematics specialization or for a degree offered by the Department of Mathematics.<br \/>\nPR: MTH130.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-400.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 401 &#8211; Structure of Modern Geometry<\/strong><\/dt>\n<dd>Informal development of geometry with an exploration of probability and statistics. Recommended for pre- service middle school teachers and for elementary and secondary in-service teachers. May not be used for either a 5-12 mathematics specialization or for a degree offered by the Department of Mathematics.<br \/>\nPR: MTH130 or MTH127.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-401.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 404 &#8211; Mathematics Methods and Materials<\/strong><\/dt>\n<dd>Content and content-specific pedagogy for secondary mathematics education majors.<br \/>\nPR: CI470 and Admitted to Teacher ED\u00a05.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-404.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 405 &#8211; History of Mathematics<\/strong><\/dt>\n<dd>A study of the history of mathematics from the time of the ancient Greeks to the end of the nineteenth century.<br \/>\nPR: MTH300.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-405.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 411 &#8211; Mathematical Modeling<\/strong><\/dt>\n<dd>Students work in teams to construct mathematical models of various real-world situations. Problems to be modeled are drawn from diverse areas of application and use a wide range of undergraduate mathematics.<br \/>\nPR: MTH231.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-411.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 412 &#8211; Regression Analysis<\/strong><\/dt>\n<dd>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.<br \/>\nPR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-412.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 413 &#8211; Experimental Designs<\/strong><\/dt>\n<dd>Principles of experimentation; analysis of variance and covariance; Latin square and related designs; factorial designs, response surface; robustness; nested and split-plot designs.<br \/>\nPR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-413.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 415 &#8211; Partial Differential Equations<\/strong><\/dt>\n<dd>Elementary partial differential equations. Heat Equation, Laplace&#8217;s Equation, separation of variables, Fourier series, vibrating strings, eigenvalue problems, finite differences, Bessel functions, Legendre polynomials.<br \/>\nPR: MTH331 and MTH335.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-415.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 416 &#8211; Advanced Differential Equations<\/strong><\/dt>\n<dd>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.<br \/>\nPR: MTH300 and MTH335.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-416.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 420 &#8211; Nonparametric Methods<\/strong><\/dt>\n<dd>Coverage of a variety of nonparametric or distribution-free methods for practical statistical inference problems in hypothesis testing and estimation, including rank procedures and randomization procedures.<br \/>\nPR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-420.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 422 &#8211; Applied Time Series Analysis<\/strong><\/dt>\n<dd>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 Box-Jenkins procedures.<br \/>\nPR: MTH230 or permission.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-422.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 425 &#8211; Sampling Design and Estimation<\/strong><\/dt>\n<dd>Coverage of the theory and applications of a variety of sampling designs, sample size determination; ration and regression estimated comparisons among the designs.<br \/>\nPR: STA 326 or permission of instructor<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/STA-425.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 427 &#8211; Advanced Calculus I<\/strong><\/dt>\n<dd>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.<br \/>\nPR: MTH231 and MTH300. CR: MTH331.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 428 &#8211; Advanced Calculus II<\/strong><\/dt>\n<dd>A rigorous development of algebra and topology of Euclidean spaces, differentiability and integrability of functions of several variables.<br \/>\nPR: MTH427.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 430 &#8211; Topology I<\/strong><\/dt>\n<dd>First course in topology. Basics of point-set topology: metric and topological spaces, continuity, connectedness, compactness, products, quotients. Surfaces and simplicial complexes, Euler characteristics.<br \/>\nPR: MTH300.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-430.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 431 &#8211; Topology II<\/strong><\/dt>\n<dd>First course in algebraic topology. Homotopy, fundamental group, simplicial homology.<br \/>\nPR: MTH430 and MTH450.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-431.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 435 &#8211; Statistical Data Mining<\/strong><\/dt>\n<dd>Introduction to statistical learning techniques for analyzing high dimensional data. Topics include data mining strategy, explanatory analysis, predictive modeling techniques and model assessment.<br \/>\nPR: STA 345 or STA 445.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 440 &#8211; Graph Theory and Combinatorics<\/strong><\/dt>\n<dd>This course is designed to introduce students in mathematical sciences to the theorems, techniques, and applications of graph theory and combinatorics.<br \/>\nPR: MTH300.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-440.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 442 &#8211; Numerical Linear Algebra<\/strong><\/dt>\n<dd>Direct and iterative methods for numerical solution of linear systems of equations. Eigenvalues and eigenvectors. Error Analysis and norms. Related topics and applications.<br \/>\nPR: MTH331.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-442.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>MTH 443 &#8211; Numerical Analysis<\/strong><\/dt>\n<dd>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.<br \/>\nPR: MTH331 and a programming language.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-443.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 445 &#8211; Probability &amp; Statistics I<\/strong><\/dt>\n<dd>Probability spaces, conditional probability, and applications. Random variables, distributions, expectation, and moments.<br \/>\nPR: MTH231.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>STA 446 &#8211; Probability &amp; Statistics II<\/strong><\/dt>\n<dd>Statistical inference: estimation of parameters, tests of hypotheses. Regression, analysis of variance.<br \/>\nPR: STA445.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 448 &#8211; Modern Geometries<\/strong><\/dt>\n<dd>Finite geometrics, basic background material for the modern development of Euclidean Geometry, other geometries.<br \/>\nPR: MTH300.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 449 &#8211; Projective Geometry<\/strong><\/dt>\n<dd>Projective Geometry using both synthetic and algebraic methods.<br \/>\nPR: MTH300.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 450 &#8211; Modern Algebra I<\/strong><\/dt>\n<dd>Structure of the abstract mathematical systems; groups, rings, fields, with illustrations and applications from number theory.<br \/>\nPR: MTH300 and MTH331.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 452 &#8211; Modern Algebra II<\/strong><\/dt>\n<dd>Continuation of MTH 450.<br \/>\nPR: MTH450.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 455 &#8211; Number Theory<\/strong><\/dt>\n<dd>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.<br \/>\nPR: MTH300.<br \/>\n<em>3 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-455.pdf\">General syllabus<\/a><\/dd>\n<dt><strong>STA 464 &#8211; Statistical Computing<\/strong><\/dt>\n<dd>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.<br \/>\nPR: STA 445 or STA 446<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>STA 466 &#8211; Stochastic Processes<\/strong><\/dt>\n<dd>Review of probability theory. Topics include stationary processes, discrete and continuous time Markov chains, Markovian queuing systems, random walks, renewal processes, Brownian motion and Markov Chain Monte Carlo.<br \/>\nPR: MTH231 and MTH445<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>STA 470 &#8211; Applied Survival Analysis<\/strong><\/dt>\n<dt><\/dt>\n<dd>Survival and hazard functions, parametric and non-parametric methods, models and inferences for survival data, and regression diagnosis.<br \/>\nPR: 445, or permission.<br \/>\n<em>3 Credit Hours<\/em><\/dd>\n<dt><strong>MTH or STA 480-483 &#8211; Special Topics<\/strong><\/dt>\n<dd>Courses on special topics not listed among the current course offerings.<br \/>\nPR: Permission of instructor.<br \/>\n<em>1 to 4 Credit Hours<\/em><\/dd>\n<dt><strong>MTH or STA 485-488 &#8211; Independent Study<\/strong><\/dt>\n<dd>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.<br \/>\nPR: Permission of instructor.<br \/>\n<em>1 to 4 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 490 &#8211; Internship<\/strong><\/dt>\n<dt><\/dt>\n<dd>A supervised internship in an area of mathematics, applied mathematics, or statistics. By permission only.<br \/>\nPR: MTH 300 and permission<br \/>\n<em>2 to 12 Credit Hours<\/em><\/dd>\n<dt><strong>MTH 491 &#8211; Senior Seminar<\/strong><\/dt>\n<dd>Capstone experience in reading, doing, writing and speaking mathematics. Students will explore topics related to a theme chosen by the instructor.<br \/>\n<em>2 Credit Hours<\/em><br \/>\n<a href=\"https:\/\/www.marshall.edu\/math\/files\/MTH-491.pdf\">General syllabus<\/a><\/dd>\n<\/dl>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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 upper-division Undergraduate Course Offering (PDF) schedule for future semesters. Jump to 100 Level Math and Statistics Courses 200 Level Math and Statistics Courses 300 Level Math and Statistics Courses<\/p>\n","protected":false},"author":342,"featured_media":0,"parent":151,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-209","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/209","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/users\/342"}],"replies":[{"embeddable":true,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/comments?post=209"}],"version-history":[{"count":6,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/209\/revisions"}],"predecessor-version":[{"id":3712,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/209\/revisions\/3712"}],"up":[{"embeddable":true,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/151"}],"wp:attachment":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/media?parent=209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}