1969-1970 Academic Catalog

SCIENCE AND MATHEMATICS 105 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 ( 1969-70) 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 ( 1969-70) 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 ( 1969-70) Prerequisite: Mathematics 283 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 (1970-71) Prerequisite: 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