1978-1979 Academic Catalog

Science and Mathematics 1 281-282-283 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 equation. 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 Modem 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 equivalent. (Alternate, odd years) 387 Differential Equations 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. 388 Advanced Calculus 5 hours Topics in differential calculus, functions and series. Includes partial differential equations and Fourier Series. Prerequisite: Mathematics 387 (Alternate, odd years) 394 Linear Algebra - A 5 hours The course is an introduction to the algebra of linear equations, including determinants, matrices, vector spaces, eigenvalues, and eigenvectors, and linear mapping. Prerequisite: Mathematics 283 (Alternate, even years) 396 Modem Algebra - Sp 5 hours Sets and logic are introduced, and the development of algebraic systems, groups, rings, integral domains and fields are studied. Prerequisite: Mathematics 282(Alternate, even years) 480 Topics in Malhemalics 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 Analy– sis, (c) Numerical Analysis, (d) Introduction to Computer Programming, and (e) Partial Differ– ential 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 pre– cede registration. Prerequisite: Major in mathematics and permission of research advisor.