1986-1987 Academic Catalog

llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllmlScience andMathematics 137 Physics. Topics include structure of matter, electricity and light, kinetic theory, x-rays, nuclear reactions, atomic and nuclear structure, radioac– tivity. Prerequisite: 71-273 General Physics. (Alternate, even years) MATHEMATICS 71-281, 71-282, 71-283 Analytic Geometry and Calculus 5 hours each quarter An integrated course of the basic concepts of analytic geometry and calculus. Includes theory of limits, derivatives, integrals, conic sections, solid analytic geometry, partial derivatives, multiple integrals, infinite series, differential equations. Prerequisite: 71-184, 71-185 Introduction to Analysis or equivalent. 71-384 Probability and Statistics 5 hours Probability, binomial, normal, t, chi square, and F distributions; re– gression and analysis of variance are studied from theoretical and practi– cal viewpoints. Prerequisite: 71-282 Analytic Geometry and Calculus. 71-387 Differential Equations 5 hours A study of the standard techniques employed in the solution of differ– ential equations with emphasis on those arising from physical problems. Prerequisite: 71-283 Analytic Geometry and Calculus. 71-388, 71-389 Advanced Calculus 5 hours Topics in function theory, differential and integral calculus of several variables, line and surface integrals, and infinite series are covered. Pre– requisite: 71-283 Analytic Geometry and Calculus. 71-394 Linear Algebra 5 hours An introduction to the algebra of linear equations, including determi– nants, matrices, vector spaces, eigenvalues, and eigenvectors, and linear mapping. Prerequisite: 71-283 Analytic Geometry and Calculus. (Alternate, even years) 71-396 Modern Algebra 5 hours Introduction of sets and logic, and the development of algebraic sys– tems, groups, rings, integral domains, and fields. Prerequisite: 71-282 Analytic Geometry and Calculus. (Alternate, even years) 71-480 Topics in Mathematics 2-5 hours Various topics offered as interest may demand. Intended for majors in mathematics. Permission of instructor required. Some typical topics: matrix algebra, vector analysis, numerical analysis, introduction to com– puter programming, and partial differential equations. 71-482 Real Variables An introduction to the real number system's algebraic, order, com– pleteness, and cardinality properties; and an introducton to topolgy of Cartesian spaces, continuity, convergence, limits, differentiality, and in– tegration. This course is designed to enhance the student's understanding of the basic theory of elementary and advanced calculus. Prerequisite: 71-389 Advanced Calculus. (Alternate odd years) 71-490 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.