Department of Mathematical Sciences
FACULTY
Professors: Lu, Thurber (chairman) Associate Professor: Woo
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: 45 units, 24 of which must be upper division. All majors are required to take a core curriculum of 105, 106, 200, 205, 295, 305 and 315. In addition one of 202, 210 or 296 must be taken. Various sequences of courses which depend on the area of concentration are recommended to complete the requirements. Those who plan to pursue graduate studies should take 410 (Topics in Advanced Calculus) and 480 (a research seminar) regardless of the area of concentration. The following course sequences are recommended for: Applied Math: 321, 331, 332, 333, one section of 430 Computer Science: 200, 202, 300, 321, 331, 333, one section of 400 Teaching: 410 (Number Theory) , 420 (Modern Geometry). Department Minor: 27 units, 6 of which must be upper division. Students must consult with department advisor. The basic curriculum for a minor is 105, 106, 200, 205, 295, one of 202, 210 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. 100 a b c INTRODUCTION TO PROGRAMMING algebraic structures, numeration systems, elementary LANGUAGES (1-1-1) number theory, mathematical systems, concepts of Introduction to computing and current programming probability, introduction to statistics, informal geometry. languages: (a) FORTRAN; (b) COBOL; (c) BASIC. Fee Designed for prospective elementary school teachers and $5.00 each. to fulfill liberal arts requirements. Cannot be counted 101 PRECALCULUS MATHEMATICS (3) toward the major . Either semester. Sets, the real number system, relations , functions, 200 INTRODUCTION TO COMPUTERS (3) graphs, algebraic processes, inequalities, trigonometric Uses for electronic computers, computer arithmetic and functions, matrices and determinants, complex numbers , data representation; internal operation and storage, exponential and logarithmic functions , introduction to programming, basic computer instructions, BASIC and sequences, probability, and statistics. Prerequisite: 3 yea rs FORTRAN elementary features; application to statistics, of high school mathematics or consent. Cannot be life science, business, social science. Fee $15.00. counted toward the major. 202 INTRODUCTION COMPUTER ORGANIZATION 103 CALCULUS FOR MANAGEMENT SCIENCES (4) AND ASSEMBLY LANGUAGE PROGRAMMING (3) Fundamental principles of differential and integral Computer structure, assembly language, instruction calculus. Applications chosen mainly from the execution, addressing techniques, digital representation management sciences. Prerequisite: three years high of data, logic design, compilers. Prerequisite: 200. Fee: school mathematics or consent. $15.00. 105 ANALYTIC GEOMETRY AND CALCULUS I (4) 205 INTERMEDIATE CALCULUS (4) An introduction to analytic geometry, differentiation, and Functions of two and three variables, partial integration of polynomial functions, with applications. differentiation, multiple integration, curves and surfaces Prerequisite: 4 years of high school mathematics or in three dimensional space, sequences and series. consent. Prerequisite: 106. 106 ANALYTIC GEOMETRY AND CALCULUS II (4) 210 INTRODUCTION TO PROBABILITY AND Differentiation and integration of trigonometric, STATISTICS (3) logarithmic, and exponential functions, various methods Nature of statistical methods, description of sample data, of integration, and vectors in the plane. Prerequisite: 105. fundamental concepts of probability, probability 111 FUNDAMENTALS OF MATHEMATICS (3) distributions, sampling, estimation, correlation and Set theory, relations and functions, number systems and regression; application of same.
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