Biola_Catalog_19820101NA

"The math students and faculty enjoy a close fellowship. The professors are glad to help the students and, for the successful student, there is opportunity to go beyond the requirements by engaging in seminars and independent research.,, Mark Shimozono Mathematical Sciences Student

Department of Mathematical Sciences Edward Thurber, Ph.D., Chair FACULTY

The general education requirement for a foreign language for those following a mathematical sciences 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 LANGUAGES (l-1-1) Introduction to computing and current programming languages: (a) FORTRAN; (b) COBOL; (c) BASIC. Fee $5 each. 10 I PRECALCULUS MATHEMATICS (3) Sets, the real number system, relations, functions , graphs , alge­ braic processes , inequalities , trigonometric functions, matrices and determinants, complex numbers , exponential and logarith­ mic functions, introduction to sequences, probability and statis­ tics. Prerequisite: three 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. Pre­ requisite: 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. Pre­ requisite: four years of high school mathematics or consent. 106 ANALYTIC GEOMETRY AND CALCULUS II (4) Differentiation and integration of trigonometric , logarithmic and exponential functions, various methods of integration, sequences and series , and vectors in the plane. Prerequisite: 105. 111 FUNDAMENTALS OF MATHEMATICS (3) Set theory, relations and functions , number systems and alge­ braic 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. 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. 202 INTRODUCTION COMPUTER ORGANIZATION AND ASSEMBLY LANGUAGE PROGRAMMING (3) Computer structure , assembly language, instruction execution, addressing techniques , digital representation of data , logic de­

Professor: Thurber Instructor: Converse

The department of mathematical sciences at Biola University 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 and two microcomputers. Objectives: The department endeavors to provide ( l) 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 , op­ erations 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 divi­ sion. All majors are required to take a core curriculum of l 05 , 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 of430 Computer Science: 200 , 202 , 300 , 321 , 331 , 333 , one section of 400 Teaching: 410 (Number Theory) , 420 (Modem Geometry). Department Minor: 27 units , six of which must be upper divi­ sion. 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.

sign , compilers. Prerequisite: 200. Fee: $15. 205 INTERMEDIATE CALCULUS (4)

Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. Prerequisite: 106. 210 INTRODUCTION TO PROBABILITY AND STATISTICS (3) Nature of statistical methods , description of sample data, fun-

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