2014-15-Undergraduate-Catalog

Course Descriptions • 418MATH 310 Using Technology in Mathematics EducationCalculators and computer software are important tools for doing mathematics. How teachers use these toolsaffects how well students learn mathematics. This course offers opportunities for pre-service teachers in middleand secondary schools to explore the applications of technological tools for learning and teaching mathematics.Prerequisites: 12 credit hours of mathematics courses. Three credits.MATH 325 Discrete MathDiscrete mathematics is concerned with structures of objects that can assume only distinct values, oftencharacterized by integers. Combinatorics, graph theory, algorithms and recurrence relations are a part of thiscourse. Prerequisite: MATH 102 or MATH 201. Three credits.MATH 341 Elementary Theory of NumbersSelected topics in Number Theory including divisibility. Euclidian algorithm, congruencies, residue classes, Euler'sFunction, primitive roots, Chinese remainder theorem, quadratic residues, and Gaussian integers. Prerequisite:MATH 102 or MATH 201. Three credits.MATH 351 Differential EquationsThe study of the methods, theory and applications of differential equations including first order and linear secondorder equations, series solutions, and the Laplace transform. Prerequisite: MATH 202. Three credits.MATH 365 History of MathematicsStudy of the development of mathematics from classical antiquity through the end of the 19th century. Focuses onthe critical periods in the development of areas of mathematics such as equation solving, geometry, calculus,number theory and probability. Prerequisite: MATH 201. Three credits.MATH 370 Numerical AnalysisAn introduction to numerical solutions to problems. Topics include solution of equations, interpolation andapproximation of polynomials, numerical differentiation and integration, summation of series, and use of orthogonalpolynomials. Assignments using a computer and mathematical software packages are important components of thiscourse. Prerequisite: MATH 202. Three credits.MATH 399 Directed StudiesSelected topics in mathematics. One, two or three credits.MATH 403 Introduction to Modern AlgebraA study of sets, mappings and algebraic concepts such as groups, rings, integral domains and fields. Prerequisite:MATH 102 or MATH 201. Three credits.MATH 405 GeometryExamination of fundamental topics in geometry from an advanced viewpoint. The historical development ofgeometry and topics from Non-Euclidean geometry are included. Prerequisite: MATH 102 or MATH 201. Threecredits.MATH 432 Real AnalysisReal Analysis is the study of the theory behind calculus. Based on the development of the basic theorems ofcalculus, this course includes limits, continuity, differentiability, integrability, sequences and infinite series. Prerequisite:MATH 302. Three credits.MATH 442 Functions of a Complex VariableA study of the complex variable including analytic functions, Cauchy-Riemann equations, Cauchy’s Theorem, powerseries, residue theorem and conformal mapping. Prerequisite: MATH 202. Three credits.MATH 475 Research Seminar IThis is a capstone course for the mathematics major. The student is expected to find an interesting mathematicstopic to explore and pursue it in-depth. The student is expected to write up the results of this exploration in aresearch paper and do a presentation on the research as a part of this course. Prerequisite: Junior or seniorstanding and permission of the instructor. Two credits.