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MTH 84. COLLEGE PREPARATORY MATHEMATICS THREE CREDITS * Designed for students who need to review basic mathematics skills before taking MTH 94, 101 or 103. Topics include a review of arithmetic, introductory algebra, and quantitative reasoning. Only P (passed) or F (failed) grades are given. *Credits in this course will not be counted toward the graduation requirement in any degree program at Wilkes. Offered every fall. MTH 94. COLLEGE ALGEBRA THREE CREDITS Designed for students who need to review basic algebra before taking MTH 100 or MTH 150. Topics include polynomials, solution of equations and inequalities, exponents and radicals, graphing, and solution of systems of equations. Offered every fall. MTH 100. PRECALCULUS THREE CREDITS A course in advanced algebra and trigonometry designed to prepare students for calculus. Topics include functions, inverse functions, logarithms, exponentials, and trigonometry. Prerequisite: MTH 94 or two years of secondary school mathematics in algebra and geometry. Offered every fall, spring, and summer. MTH 101. SOLVING PROBLEMS USING MATHEMATICS THREE CREDITS An introduction to the methodology of mathematical modeling as a technique in working towards the solution to real world problems. In an effort for the nonspecialist to gain an appreciation of the use of mathematics in our society, topics are selected from among the following: basic voting theory, fair division schemes, routing problems, population growth, and descriptive statistics and probability. Offered every fall, spring, and summer. MTH 103. MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS THREE CREDITS A study of the theory of arithmetic, structure of the number systems, and other topics relevant to the teaching of mathematics in elementary schools. Prerequisite: Admission to the Teacher Education Program or consent of instructor. Offered every fall and summer. MTH 104. MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II THREE CREDITS A continuation of MTH 103. Topics include elementary probability, statistics, and geometry. Prerequisite: MTH 103. Offered every spring and summer. MTH 105. CALCULUS FOR LIFE, MANAGERIAL, AND SOCIAL SCIENCES I FOUR CREDITS Topics include: algebra review, limits, differentiation, and integration. Not open to students with credits in MTH 111. Prerequisites: MTH 100 or at least three years of secondary school mathematics, including Geometry and Algebra II. Offered every fall, spring, and summer. MTH 106. CALCULUS FOR LIFE, MANAGERIAL, AND SOCIAL SCIENCES II FOUR CREDITS A continuation of MTH 105. Topics include: partial differentiation, differential equations, and probability. Not open to students with credits in MTH 112. Prerequisite: MTH 105. Offered every spring and summer. MTH 107. BUSINESS MATHEMATICS THREE CREDITS Designed for business and accounting majors. Emphasis on mathematical modeling in the business environment. Topics include algebraic functions; mathematics of finance; systems of linear equations; linear programming; average and instantaneous rates of change. Prerequisite: MTH 94 or two years of secondary school mathematics in algebra and geometry. Offered every fall, spring, and summer. MTH 111. CALCULUS I FOUR CREDITS Calculus of functions of one variable. Topics include: functions, limits and continuity, derivatives and their applications, and definite integrals. Not open to students with credits in MTH 105. Prerequisites: MTH 100 or at least three years of secondary school mathematics including Geometry, Algebra II, and topics in Trigonometry. Offered every fall, spring, and summer. MTH 112. CALCULUS II FOUR CREDITS A continuation of MTH 111. Topics include inverse functions, techniques of integration, applications of the integral, and infinite sequences and series. Not open to students with credit in MTH 106. Prerequisite: MTH 111. Offered every fall, spring, and summer. MTH 150. ELEMENTARY STATISTICS THREE CREDITS Elementary statistical inference, with an emphasis on ideas, techniques, and applications in the life, physical, and social sciences. Topics include descriptive statistics, confidence intervals, hypothesis testing, contingency tables, multiple regression, and analysis of variance. Not open to mathematics majors or students with credit in Mth 351. Prerequisite: MTH 94 or two years of high school algebra. Offered every fall, spring, and summer. MTH 202. SET THEORY AND LOGIC FOUR CREDITS Provides a foundation in logic and set theory for upper-level courses in mathematics and computer science. Topics include the logic and language of proofs, the axiomatic method, sets, relations, and functions. Prerequisite: MTH 106 or MTH 112 or consent of instructor. Offered every fall. MTH 211. INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS FOUR CREDITS First-order and linear higher-order differential equations; matrices, determinants, and systems of differential equations; numerical and power series methods of solution; the Laplace transform. Prerequisite: MTH 112. Offered every fall and summer. MTH 212. MULTIVARIABLE CALCULUS FOUR CREDITS Differential and integral calculus of real and vector valued functions. Topics include continuity, partial differentiation, implicit functions, Taylor's Theorem, gradient, curl, line, surface and multiple integrals, inverse functions, theorems of Green and Stokes. Prerequisite: MTH 112. Offered every spring and summer. MTH 214. LINEAR ALGEBRA THREE CREDITS An axiomatic approach to vector spaces, linear transformations, systems of linear equations, eigenvalues and eigenvectors. Prerequisite: MTH 112 or consent of instructor. Offered in spring semester of even years. MTH 231. DISCRETE MATHEMATICS THREE CREDITS Designed to provide background in discrete mathematics for upper-level courses in computer science. Topics include: basic counting principles; introduction to recurrence relations and their application in analyzing algorithms; basic properties of graphs, trees, and networks; AND, OR, and NOT gates and designing combinatorial circuits, finite-state automata, transducers and Turing machines. Prerequisites: MTH 202 and CS 125. Offered every spring. MTH 303. THE TEACHING OF MATHEMATICS IN SECONDARY SCHOOLS FOUR CREDITS This course deals with educational perspectives which pertain to the teaching of mathematics at the secondary level (grades 7 through 12). Topics of discussion include recommendations by the National Council of Teachers of Mathematics (NCTM) regarding instructional methods, assessment techniques, and curricular issues. 30 hours practicum. Prerequisites: Junior standing in mathematics and admission to the Teacher Education Program. Offered in the fall semester of odd years. MTH 311. REAL ANALYSIS FOUR CREDITS A rigorous study of the topology of the real line, limits, continuity, differentiation, integration, and series of functions. Prerequisite: MTH 202 or consent of instructor. Offered in the fall semester of even years. MTH 331. ABSTRACT ALGEBRA I FOUR CREDITS A rigorous study of elementary number theory, groups, rings, and fields. Prerequisite: MTH 202 or consent of instructor. Offered in the fall semester of odd years. MTH 343. GEOMETRY THREE CREDITS A study of selected topics from Euclidean and non-Euclidean geometry. Prerequisite: MTH 202 or consent of instructor. Offered in the fall semester of even years. MTH 351. PROBABILITY AND MATHEMATICAL STATISTICS I THREE CREDITS Random variables, probability distributions, expectation and limit theorems, introduction to confidence intervals and hypothesis testing. Prerequisite: MTH 106 or 112 or consent of instructor. Offered every fall. MTH 352. PROBABILITY AND MATHEMATICAL STATISTICS II THREE CREDITS Hypothesis testing, non-parametric methods, multivariate distributions, introduction to linear models. Prerequisite: MTH 351 or consent of instructor. Offered in the spring semester of odd years. MTH 354. STATISTICAL METHODOLOGY THREE CREDITS This course emphasizes applications, using statistical computer packages (such as BMDP, SPSS, and JMP) and real data sets from a variety of fields. Topics include estimation and testing; stepwise regression; analysis of variance and covariance; design of experiments; contingency tables; and multivariate techniques, including logistic regression. Prerequisite: MTH 150 or MTH 351 or consent of instructor. Offered in the spring semester of even years. MTH 360. LINEAR PROGRAMMING THREE CREDITS Graphical linear programming, simplex algorithm and sensitivity analysis. Special L.P. models such as the transportation problem, transshipment problem, and assignment problem. May include integer programming, branch and bound algorithm, geometric programming, goal programming. (same as CS 360). Prerequisites: MTH 106 or MTH 112; CS 125. Offered in the fall semester of even years. MTH 361. APPLIED MATHEMATICS I THREE CREDITS Intended for physical science and engineering students. Topics include inner product spaces, operator algebra, eigenvalue problems, Sturm-Liouville theory, Fourier series and partial differential equations. Prerequisites: MTH 211 and 212. Offered in the fall semester of odd years. MTH 362. APPLIED MATHEMATICS II THREE CREDITS Intended for physical science and engineering students. Topics include systems of linear differential equations, nonlinear differential equations; qualitative, numerical, and finite difference methods; theorems of Green and Stokes and the Divergence Theorem. Prerequisites: MTH 211 and 212. Offered in the spring semester of even years. MTH 363. OPERATIONS RESEARCH THREE CREDITS A survey of operations research topics such as decision analysis, inventory models, queueing models, dynamic programming, network models, heuristic models, and nonlinear programming. (same as CS 363). Prerequisites: CS 125; MTH 106 or MTH 112. Offered in the spring of odd years. MTH 391-392. SENIOR SEMINAR ONE CREDIT, TWO CREDITS Presentations and discussions of selected topics in mathematics, conducted by students and faculty. Prerequisite: Senior standing in mathematics or approval of department chairperson. Offered every fall and spring. MTH 395-396. INDEPENDENT STUDY IN MATHEMATICS VARIABLE CREDIT Individual study in a chosen area of mathematics under the supervision of a faculty member. May be repeated for credit. Prerequisite: Approval of department chairperson. MTH 397. SEMINAR ONE TO THREE CREDITS Presentations and discussions of selected topics. Prerequisite: Approval of department chairperson. MTH 399. COOPERATIVE EDUCATION ONE TO SIX CREDITS Professional cooperative education placement in a private/public organization related to the student's academic objectives and career goals. In addition to their work experience, students are required to submit weekly reaction papers and an academic project to a Faculty Coordinator in the student's discipline. (See the Cooperative Education section of the Bulletin for placement procedures.) Prerequisites: Sophomore standing, 2.0 cumulative average, consent of academic advisor, approval of placement by department chairperson. MTH 413. FUNCTIONS OF SEVERAL VARIABLES THREE CREDITS A modern treatment of calculus of functions of several real variables. Topics include: Euclidean spaces, differentiation, integration on manifolds leading to the classical theorems of Green and Stokes. Prerequisites: MTH 214 and 311. Offered when demand warrants. MTH 414. COMPLEX ANALYSIS THREE CREDITS Complex functions, limit, continuity, analytic functions, power series, contour integration, Laurent expansion, singularities and residues. Prerequisite: MTH 212 or consent of instructor. Offered when demand warrants. MTH 432. ABSTRACT ALGEBRA II THREE CREDITS A continuation of MTH 331. Polynomial rings, ideals, field extensions, and Galois Theory. Prerequisite: MTH 331. Offered when demand warrants. MTH 442. TOPOLOGY THREE CREDITS Metric spaces, topological spaces, countability and separation axioms, compactness, connectedness, product spaces. Prerequisite: MTH 311 or consent of instructor. Offered when demand warrants. MTH 464. NUMERICAL ANALYSIS THREE CREDITS Numerical methods of differentiation, integration, solution of equations and of differential equations with emphasis on problems that lend themselves to solution using computers (same as CS 364). Prerequisites: MTH 112 and CS 125, or consent of instructor. Offered when demand warrants. MTH 470. READING COURSE ONE TO THREE CREDITS Advanced study of special topics under the supervision of a faculty member. Designed for students who have completed a substantial amount of course work in mathematics. May be repeated for credit. Prerequisites: Senior standing and approval of department chairperson. MTH 198/298/398/498. TOPICS IN MATHEMATICS VARIABLE CREDITS A study of topics of special interest. It may be a continuation and intensive study of topics begun in the upper-level courses in analysis, topology, algebra, and probability. May be repeated for credit. Prerequisite: Varies with topics studied. Additional 500-level graduate courses in mathematics are open to qualified mathematics majors. See the graduate bulletin for complete listing. |
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