Department Minor: 20 units of mathematics, 6 of which must be from upper division courses, and 4 units of General Physics. The general education requirement for a foreign language for those following a Mathematics major may be met by two years of high school language or the first four uni ts of a college language. 51 BASIC MATHEMATICS (0) A non-credit survey course for those deficient in arithmetic, elementary algebra, and geometry. A supervised-study learning approach allowing students to proceed at vary ing rates. Flee: same as for 2 units of credit. 101, 102 PRECALCULUS MATHEMATICS I, II (3, 3) Sets, the real number system, relations, functions, graphs, algebraic processes, inequali ties, trigonometric functions, matrices, and determinants, complex numbers exponential and logarithmic functions, introduction to sequences, series, probability, and statis tics. Prerequisite: 3 years of high school mathematics or consent of instructor. Cannot be counted toward the major. 102 alternate years, offered 1972-73. 105 ANALYTICAL GEOMETRY AND CALCULUS I (4) An introduction to analytical geometry, differentiation, and integration of polynomial functions, with applications. Prerequisite: 4 years of high school mathematics or con sent of instructor. 106 ANALYTICAL GEOMETRY AND CALCULUS II (4) Differentiation and integration of trigonometric, logarithmic, and exponential functions, various methods of integration, and vectors in the plane. Prerequisite: 105. 111 FUNDAMENTALS OF MATHEMATICS (3) The number system and algebraic structures; modular arithmetic, set theory, functions, informal geometry, postulational methods. Designed especially for prospective ele mentary school teachers. Cannot be counted toward the major. Either semester. 205 INTERMEDIATE CALCULUS I (3) Vector functions and their derivatives, differential and integral calculus of several variables, infinite series. Prerequisite: 106. 206 INTERMEDIATE CALCULUS II (3) Vector analysis, introductory concepts in linear algebra, differential equations. Pre requisite: 205. 294 LINEAR ALGEBRA (3) Topics from matrices, determinants, linear transformations, and vector spaces. Pre requisite: 205 or consent of instructor. Alternate years, offered 1973-74. 305 ADVANCED CALCULUS I (3) The real number system, elementary topological concepts in Cartesian spaces, con vergence, continuity, derivatives and integrals. Prerequisite : 206, 294. Alternate years, offered 1972-73. 315 MODERN ALGEBRA (3) Introduction to abstract algebra with topics from elementary ring, field, and group theories. Emphasis on ring integers, congruences, polynomial domains, permutation groups. Prerequisite: 294 or consent of instructor. Alternate years, offered 1973-74. 331 NUMERICAL ANALYSIS AND COMPUTER PROGRAMMING (3) Introduction to problem-oriented languages of computers and principles of problem solving in the sciences by use of computer programming, including interpolation and 95
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