2010-2011 - Sweet Briar College

2010-2011 Catalog Mathematical and computer sciencesMATH 306 (3)–Applied Linear RegressionPrerequisite: MATH 205, MATH 304, or PSYC219. A study of linear statistical models. Multipleregression, selection of variables, residual analysis,and model building.MATH 310 (3)–Modern GeometryPrerequisite: MATH 124. Topics in Euclideanand non-Euclidean geometry, particularlygeometry on a sphere. Students in this coursedeepen their understanding of geometry and thenature of geometric proof through discussion,discovery, and writing. Offered alternate years.III.O, III.W.MATH 315 (3)–BiostatisticsPrerequisite: MATH 205 or PSYC 219. Statisticswith applications in the biological sciences. Topicsinclude the Poisson distribution, bootstrap confidenceintervals, matched pairs tests, non-parametrictests, sample size and power, one-way and twowayanalysis of variance, and logistic regression.Offered alternate years.MATH 318 (3)–Mathematical ProofsPrerequisite or co-requisite: MATH 223 orMATH 232. An introduction to constructingrigorous mathematical arguments. Topicsinclude mathematical induction, functions, relations,modular arithmetic, introductory logic,introductory set theory, and introductory combinatorics.III.W.MATH 323 (3)–Sequences and SeriesPrerequisite: MATH 318. A rigorous study ofsequences and series of real numbers and functions,developed from the axioms of the realnumber system and elementary point set theory.MATH 328 (3)–Ordinary DifferentialEquationsPrerequisite: MATH 124. Separation of variables,exact equations, first and second orderlinear equations. Solutions by power seriesand numerical methods, systems of equations.Applications to the physical and biological sciences.Offered alternate years. V.8a.MATH 333 (3)–Algebraic StructuresPrerequisite: MATH 318. A rigorous study ofabstract algebraic structures, focusing primarilyon group theory.MATH 336 (3)–Vector CalculusPrerequisite: MATH 223. This course extendsthe material in Calculus III, covering furthertopics in multidimensional calculus. It includesGreen’s theorem, Stokes’ theorem and the divergencetheorem, as well as calculus in sphericaland cylindrical coordinates. Applications tophysics are discussed. Offered alternate years.MATH 342 (3)–Mathematical ModelingPrerequisites: CSCI 188 and MATH 232.Mathematical models with application to the social,life, and managerial sciences. Linear programmingand one or more topics chosen from game theory,Markov chains, queuing models, networks, andgraph theory. Offered alternate years.MATH 346 (3)–Numerical AnalysisPrerequisites: MATH 223, MATH 232, andCSCI 188. Topics chosen from the followingnumerical methods: computer calculations,approximation of functions, differentiation, integration,solution of ordinary differential equations,and inversion of matrices. Offered alternate years.MATH 361 (1, 2, or 3)–Special StudyPrerequisites: 100-level MATH course andpermission of the instructor. The study of anintermediate level topic by an individual studentor by a small group of students under the immediatesupervision of a faculty member.MATH 377 (1, 2, or 3)–InternshipPrerequisites: Three credits in MATH and permissionof the instructor, department chair,and dean. This course is graded P/CR/NC only.MATH 424 (3)–Advanced CalculusPrerequisite: MATH 323. A rigorous developmentof the theory of calculus, including continuity,differentiation, and integration. Offeredalternate years. III.W.MATH 434 (3)–Topics in Abstract AlgebraPrerequisite: MATH 333. A rigorous study ofabstract algebraic structures, including rings,integral domains, fields, and polynomial rings.Offered alternate years. III.W.145­