1976-1977 Academic Catalog

Science and Mathematics 81 C. MATHEMATICS 180 Introduction to Mathematics 5 hours An introduction to mathematical concepts, including logic, set theory, geometry, trigono– metry, statistics, matrices and determinants, and mathematical systems with applications to various disciplines. The course will satisfy general education requirements. 182-183 Mathematics for Elementary Teachers 5 hours each quarter Sets, logic, number systems, algorithms, statistics, geometry, algebra, trigonometry and other topics related to the elementary school curriculum will be covered. A substantial part of the second quarter will be devoted to the latter three topics. The course will not satisfy the general education requirements except for elementary education majors. Prerequisite: Major in Elemen– tary Education or permission of instructor 184-185 Introduction to Analysis - W, Sp 4 hours each quarter Ageneral introduction to modern methods of analysis, including topics from algebra and trigo– nometry. The course is designed for students with inadequate preparation for calculus. Prere– quisite: 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 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 (Alternate, even years) 386 Modern Geometry - Sp 5 hours Advanced Euclidean and projective geometries. A study of lines, similar figures, loci, pro– perties 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 - 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 283 388 Advanced Calculus - W 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: Mathe- matics 283 (Alternate, even years) 396 Modern Algebra - S 5 hours Sets and logic are introduced, and the development of algebraic systems, groups, rings, inte– gral domains and fields are studied. 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 Analysis, (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 regis– tration. Prerequisite: Major in mathematics and permission of research advisor