Department of Mathematical Sciences
FACULTY
Professors: F. Lu, Thurber (chairman)
The Department of Mathematical Sciences at Biola College provides several areas of concentration in addition to a basic core curriculum. The student is allowed considerable flexibility in the major depending upon his vocational or professional goals. The department has available a Hewlett-Packard HP-3000-11 computer. Objectives: The department endeavors to provide (1) a strong foundational core curriculum for the student desiring to pursue graduate study in both the pure and applied fields of mathematical science. (2) course work and training to prepare students for applied mathematical sciences (statistics, computer science, operations research and actuarial science) and the field of teaching, (3) support courses for the curriculum of other majors (Biological Science, Physical Science, Business and Nursing) , and (4) courses basic to gaining some knowledge of mathematics as part of a liberal arts education. The department provides an attractive and thorough offering in mathematics as part of God' s creation , and there is a concerted effort to integrate faith and learning. Department Major: 42 units , 24 of which must be upper division. All majors are required to take a core curriculum of 105, 106, 205, 295, 315 and 321. Specific requirements beyond the core curri culum are 296, 305, 410 (Advanced Calculus) , one section of 430, and 480 for those planning to pursue graduate studies in mathematics; 200 , 201 , 331 , 332, 333, and 410 (Set Theory and Logic) for those desiring an applied emphasis; and 296, 305, 321 , 201 or 331, one section of 410, and one section of 420 for those planning to teach. Department Minor: 24 units, 6 of which must be upper division. Students desiring a minor in mathematical sciences must consult with department advisor. The basic curriculum for a minor is 105, 106, 205, 295, one of 200 , 201 or 296, and two 300 or 400 level courses. The general education requirement for a foreign language for those following a mathematical science major may be met by two years of high school language or the first four units of a college language.
200 INTRODUCTION TO COMPUTERS (3) Uses for electronic computers, computer arithmetic , and data representation; internal operation and storage, programming, basic computer instructions, BASIC and FORTRAN elementary features; application to statistics, life science, business , social science. Fee $15. 00. 201 INTRODUCTION TO PROBABILITY AND STATISTICS (3) Nature of statistical methods, description of sample data, fundamental concepts of probability, probability distributions, sampling, estimation, correlation and regression; application of same. 205 INTERMEDIATE CAL(;:ULUS (4) Functions of two and three variables , partial differentiation , multiple integration. curves and surfaces in three dimensional space, sequences and series. Prerequisite: 106. 295 LINEAR ALGEBRA (3) Topics from matrices, determinants , linear transformations, and vector spaces. Prerequisite: 106 or consent. 296 DIFFERENTIAL EQUATIONS (3) Linear differential equations, power series solutions of differential equations , systems of differential equations, Laplace transforms and numerical methods. Prerequisites: 205. 295. 300 DATA STRUCTURES (3) Linear lists. strings, arrays , and orthogonal lists; graphs, trees , binary trees, multilinked structures, searching and sorting techniques , dynamic storage allocation; applications. Prerequisite: 200. Fee: $15.00. 305 ADVANCED CALCULUS (3) The real number system, e lementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. Prerequisites: 205 , 296.
100 a b c INTRODUCTION TO PROGRAMMING LANGUAGES (1 -1-1) Introduction to computing and current programming languages: (a) FORTRAN; (b) COBOL; (c) BASIC Fee $5.00 each. 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, probability, and statistics. Prerequisite: 3 years of high school mathematics or consent. Cannot be counted toward the major. 103 CALCULUS FOR MANAGEMENT SCIENCES (4) Fundamental principles of differential and integral calculus. Applications chosen mainly from the management sciences. Prerequisite: three years high school mathematics or consent. 105 ANALYTIC GEOMETRY AND CALCULUS I (4) An introduction to analytic geometry, differentiation, and integration of polynomial functions , with applications. Prerequisite: 4 years of high school mathematics or consent. 106 ANALYTIC GEOMETRY AND CALCULUS II (4) Differentiation and integration of trigonome tric, logarithmic, and exponential functions , various methods of integration , and vectors in the plane. Pre requisite: 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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