Biola_Catalog_19740101NA

Department of Mathematical Sciences Professor: Lu (chairman) Associate Professor: Thurber An attempt is made at Biol a College to bring together in the one department of ma the­ matical sciences what many universities offer in several different departments. The stu­ dent is allowed considerable flexibility in the major depending upon his vocational or professional goals. The department has available a General Automation 18/30 computer. Objectives: The department endeavors to provide courses basic to discovering the laws and methods of mathematical sciences as well as an introduction to the concepts and techniques of automatic computation, optima l decision making , probabilistic modeling, and statistical inference. Department Major: All majors are required to take a core curriculum of I 05, I 06 , 205 , 294, 315, 321 or 33 I , 322 , 332, and one section of 333 . Specific requirements beyond the core curriculum are 206, 305, and one sect ion of 420 for those planning to teach ; 206 , 305, 410 (Advanced Ca lculu s) and 430 (Complex Variables) for those wishing to pursue graduate studies in mathematics ; and 200, 201, and 410 (Set Theory and Logi c) for those desiring an applied emphas is. Department Minor: Students wishing a minor in mathematics should consu lt with depart­ ment advisors. The basic curriculum for a minor is 105 , 106 , 200 or 201,205,294, and two courses from those numbered 321-333. The general education requirement for a foreign language for those fo ll owing a Mathe­ matical sciences major may be met by two years of high school language or the first four units of a co ll ege language. 51 BASIC MATHEMATICS (0) A non-credit survey course for those deficient in arithmetic, elementa ry algebra , and geometry. A supervised-study learning approach allowing students to proceed at varying rates. Fee : same as for 2 units of credit. 101 PRECALCULUS MATHEMATICS (3) Sets, the real number system, relations, functions , graphs , algebraic processes , inequalities , trigonometric functions , matrices, and determinants, complex numbers exponential and logarithmic functions, introduction to sequences, series, probability, and statistics. Pre­ requisite ; 3 years of high school mathematics or consent. 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 consent. 106 ANALYTICAL GEOMETRY AND CALCULUS 11 (4) Differentiation and integration of trigonometric , logarithmic , and exponential function s, various methods of integration, and vectors in the plane. Prerequisite: 105 . 111 FUNDAMENTALS OF MATHEMATICS (3) Set theory, relations and functions , number systems and algebraic structures, numeration systems, elementary number theory, mathematical systems, concepts of probability , introduction to statistics , informal geometry. Designed for prospective elementary school teachers and to fulfill liberal arts requirements. Cannot be counted toward the major. Either semester.

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