1973-1974 Academic Catalog

110 Cedarville College 184-185 Introduction to Analysis - W, Sp 5 hours each quarter A general introduction to modern methods of analysis, including topics from algebra and trigonometry. The course is designed for students with inadequate preparation for calculus. Prerequisite: Two years high school mathematics or permission of instructor 281-282-283 Analytic Geometry and Calculus 5 hours each quarter 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 deriva– tives, multiple integrals, infinite series, differential equations. Prerequisite: Mathematics 184 and 185 or equivalent 384 Probability and Statistics - A 5 hours Probability, binomial, normal, t-, chi square and F- distributions, regression and analysis of variance will be studied from theoretical and practical viewpoints. Prerequisite: Mathematics 282 386 Modern Geometry - Sp 5 hours Advanced Euclidean and projective geometries. A study of lines, similar figures, loci, prop– erties of triangle and circle, inversion and three dimensional vector geometry. Prerequisite: High School Plane Geometry, Mathematics 184 and 185 or equ iva lent (Alternate, odd years) 387 Differential Equations - A 5 hours A study of the standard techniques employed in the solution of differential equations with emphasis on those arising from physical problems. Prerequisite: Mathematics 283 (A lternate, odd years) 388 Advanced Calculus - W 5 hours Topics in differential ca lculus, functions and series. Includes partial differential equations and Fourier Series. Prerequisite: Mathematics 387 (A lternate, odd years) 396 Topology - Sp 5 hours An introduction to metric, Euclidean, and topological spaces with emphasis on com– pleteness, continuity, compactness, and connectedness. Prerequisite: Mathematics 282 (Alternate, even years) 480 Topics in Mathematics 2 - 5 hours 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 Ana lys is, (c) Numerical Analysis, (d) Introduction to Computer Programming, and (e) Partial Differential Equations. 490 Independent Study in Mathematics 1 - 4 hours 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. Prerequisite : Major in mathematics and permission of research advisor