Department of Mathematical Sciences
Professor: Lu, Norman , E., (chairman) Associate Professor: Thurber
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 General Automation 18/30 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. DepartmentMajor: All majors are required to take a core curriculum of 105, 106, 205, 294, 315, and 322. Specific requirements beyond the core curriculum are 206,305 , 321 or 331, 410 (Advanced Calculus) and one section of 430 for those planning to pursue graduate studies in mathematics; 200, 201 , 321 or 331 , 332, 333, and 410 (Set Theory and Logic) for those desiring an applied emphasis; and 206, 305, 321 or 331 , one section of 410, and one section of 420 for those preparing to teach. DepartmentMinor: Students desiring a minor in mathematical sciences must consult with department advisor. The basic curriculum for a minor is 105, 106, 200 or 201 , 205 , 294, 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. 101 PRECALCULUS MATHEMATICS (3) Sets, the real number system, relations, functions , graphs, algebraic processes, inequalities , trigonometric functions , matrices, and determinants , complex numbers of exponential and logarithmic functions , introduction to sequences , series, probability, and statistics. Prerequisite: 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 sc hool mathematics or consent. 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) Set theory, relations and functions , number systems and algebraic structures, numerntion 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. 200 INTRODUCTION TO COMPUTERS (3) Uses for electronic computers, computer arithmetic and data representation; internal operation and storage, programming, basic computer instructions, FORTRAN-elementary features , elementary COBOL; application to statistics, life science, business, social science. Laboratory fee: $5.00. 201 INTRODUCTION TO PROBABILITY AND STATISTICS (3) Nature of statistical methods, description of sample data , fundamental concepts of probability, probability distribution, sampling, estimation, correlation and regression; application to life science, business and economics, education, engineering, health , insurance, social sciences. 205 INTERMEDIATE CALCULUS I (3) Vector functions and their derivatives , differential and integral calculus of several variables, curves and polar coordinates, infinite series. Prerequisite: 106 206 INTERMEDIATE CALCULUS II (3) More topics on infinite series and calculus of several variables, differential equations. Prerequisite: 205. 294 LINEAR ALGEBRA (3) Topics from matrices, determinants , linear transformations, and vector spaces. Prerequisite: 205 or consent. 73
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