COURSE DESCRIPTIONS
MODERN •t·UCii•l·i?ii"I
321 Numerical Analysis (3 ) Functions of one variable, approximate numerical solutions of non-linear equa tions and systems of linear equations, interpolation theory, numerical differ entiation and integration , numerical solutions of ordinary diJ:Teren Lia! equa tions. Prerequisites: 29 I, Computer Science 105. Alternate years. 331 Probability (3) Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem , one and higher dimensional random variables, special and multivariate disuibutions. Prereq uisites: 11 2, 205. Alternate years. 332 Statistics (3) Estimation: consistency, unbiasedness, maximum likelihood, confidence inter vals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; appli cation of statistical methods. Prerequi site: 331or consent. Al ternate years. 333 Operations Research (3) Mathematical foundations of model building, optimization, linear pro gramming models, game theoret ic models. Cross listed with Computer Science 325. Prerequisites: 105, Com puter Science 105. 341 Classical Geometry (3) Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fer mat center. Compass constructions . Soli d geometry. Spherical geometry of arcs. Coordinate geometry. Pre requisite: Consent. Alternate years. 370 Readings in Mathematics (1) Reading of material in a special topic. Colloquium participation. Writing and oral presentation of a research paper. Prerequisite: Consent of the depart ment. May be repeated for credit. 41 0 Top ics in Advanced Calculus (3) Implicit function theorems, main the orems in integral calculus. Jacobian transformations, in finite series. Pre requisite: 305. Alternate years. 415 Number Theory and the History of Mathematics (3) The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibi lity, the orems of Fermat and Wi lson, primitive roots, ind ices, quadratic reciprocity
Competency Requirement
and the distribution of prime numbers. Prerequisite: 112. Alternate years. 420 Modern Geometry (3) Projective geometry, cross ratios theo rems of Menelaus , Cevas, Pappus , Desargues and Brianchon. Hyperbol ic and elliptic geometries. Differential geometry, curvature, torsion. Prereq uisite: 341 or consent. Alternate years. 435 Mathematics for the Physica l Sciences (3 ) First order differential equations and second order linear equations, series solutions, Laplace transforms, numeri cal methods, partial differen tial equa tio ns and Fourier series, boundary value prob lems and Sturm-Liouville theory. Prerequisite: 205, 291 or con sent. Alternate years. 440 Complex Var iables (3) Complex variables, analytic functions , complex integral theorems, power series, conformal mappings. Prerequi site: 205 or consent. Alternate years. 450 Topics in Abstract Algeb ra (3 ) Topics from groups, ring and fields. Ga lois theory. Prerequisite: 315 . Alternate years. 480 Research Seminar (1 -3) Special studies in mathematics . Pre requ isite: senior standing or consent. May be repeated for credit..
Chair: David Dickson, Ph .D. FACULTY Professor: R. Buss Associate Professors: Dickson , Dunbar OBJECTIVES The department's program has two levels of objectives: academic and practi cal. At a practical level, the objective is that each student will acquire a degree of proficiency in a foreign language. For all languages this entai ls an abi lity to read and write the language and a knowledge of the cultu re and li terary traditions that accompany it. For the modern languages this also includes an ability to speak and understand the spo ken language. At an academic level, as a part of the liberal arts portion of the general education cuniculum, it also is intended that the student acquire: an appreciation for the role of language as an expression of culture, skills for using a foreign language as a research tool, and a set of attitudes and learning skills for continued language learning after completion of the program. Note: To fulfill the foreign language requirement for the Bache/o,- ofArt.s degree, it is necessa,y to complete three semesters of a modem language or f!JUr semesters of classi cal language, for a total of 12units. See Bif>. lical Studies sectian for other languages.
In fo ll owi ng the sequence of courses in foreign languages the student must have a minimum grade of "C" (not "C.") to enroll in subsequent courses. COURSES French Students desir ing to enroll in French should do so during their fresh man and sophomore years. It is impos- sible to complete requirement for gen- era! education (B.A. degree) if student starts in his senior year. Students with high schoo l French shoul d consult with department for placement. 101, 102 Elementary French (4 ,4) Basic principles of pronunciation and grammar, vocabu lary drill , graded read ing. From the beginning, class room conversations in French. Five hours each week. 201 Intermediate French (4) Intermediate grammar and conversa tion, with emphasis on read ing for meaning and speed. Class conducted in French. Five hours each week. 202 Conversational French (3) Prerequisite: French 201. Typical aspects of French daily li fe with special emphasis on idioms, useful phrases and conversa tional patterns. Topics deal with true to life situations and practical aspects of the language. Three hours each week. Not offered on a regular basis.
I i; 1 ~
Made with FlippingBook flipbook maker