Biola_Catalog_19710101NA

Department Minor: 20 units of mathematics, 6 of which must be from upper divi­ sion 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 units 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. Fee: 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. 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. 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. 306 ADVANCED CALCULUS II (3) Implicit function theorems, main theorems in integral calculus, Jacobians, transfor­ mations, infinite series. Prerequisite: 305. 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 1971-72. 92

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