1970-1971 Academic Catalog

108 CEDARVILLE COLLEGE 184 TRIGONOMETRY-A The study of the trigonometric functions, solution of triangles, identities,. complex numbers and spherical trigonometry. Five credit hours 185 COLLEGE ALGEBRA-W" A survey of algebraic concepts employing functions, sets and more recent developments in mathematical analysis. Five credit hours 281-282-283 ANALYTIC GEOMETRY AND CALCULUS Prerequisites: Mathematics 184 and 185 or equivalent An integrated course of the basic concepts of ·analytic geometry and the calculus. Includes theory of limits, derivatives, integrals, conic sections, solid analytic geometry, partial derivatives, multiple integrals, infinite series, differential equations. Five credit hours each quarter 384 PROBABILITY AND STATISTICS-A Prerequisite: Mathematics 282 Probability, binomial, normal, t-, chi square and F- distributions, regression and analysis of variance will be studied from theoretical and practical view- points. Five credit hours 386 MODERN GEOMETRY-Sp ( 1971-72 and alternate years) Prerequisite: High School Plane Geometry, Mathematics 184 and 185 or equivalent Advanced Euclidean and projective geometries. A study of lines, similar figures, loci, properties of triangle and circle, inversion and three dimensional vector geometry. Five credit hours 387-388 DIFFERENTIAL EQUATIONS-A, lJ7 Prerequisite: Mathematics 283 (1971-72 and alternate years) A study of the standard techniques employed in the solution of differential equations with emphasis on those arising from physical problems. Includes partial differential equations and Fourier Series. Five credit hours each quarter 396 TOPOLOGY-Sp (1970-71 and alternate years) Prereqttisite: Mathematics 282 An introduction to metric, Euclidean, and topological spaces with em– phasis on completeness, continuity, compactness, and connectedness. Five credit hours 480 TOPICS IN MATHEMATICS Various topics to be offered as interest may demand. Intended for majors in mathematics. Permission of instructor required. Some typical topics: (a) Matrix Algebra, (b) Vector Analysis, (c) Numerical Analysis, (d) Intro– duction to Computer Programming, and (e) Partial Differential Equations. Two to five credit hours 490 INDEPENDENT STUDY IN MATHEMATICS Prerequisite: Major in mathematics and permission of research advisor An opportunity to perform independent research in the various branches of mathematics and allied fields of application. Submission and approval of a research proposal must precede registration. One to four credit hours