66 COURSE DESCRIPTIONS
Mathematical Sciences
105 Analytic Geometry and Calculus I (4) An introduction to analytic geometry, dif ferentiation and integration of polynomial func tions, with applications. Prerequisite: 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 ofMathematics (3) Set theory, relations and functions, num ber systems and algebraic structures, nu meration systems, elementary number the ory, mathematical systems,concepts of probability, introduction to statistics, infor mal geometry. Designed for prospective ele mentary school teachers and to fulfill liberal arts requirements. Cannot be counted to ward the major. Either semester. 112 Discrete Structures (3) Elementary properties if sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, sim ple algebraic structures, binary arithmetic and other bases, methods of proof. Prerequisite: three years of high school mathematics or consent. 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, descrip tion of sample data, fundamental concepts of probability, probability distributions, sam pling, estimation, correlation and regres sion; application of same. 291 LinearAlgebra (3) Topics from matrices, determinants, lin ear transformations and vector spaces. Prerequisite: 106 or consent.
Chair: Edward Thurber, Ph.D.
321, 331, 332, 333, Computer Science 101, 102, 202, 300, 400, one or two courses at the 300 or 400 level in math or computer science. Teaching (60 units) This emphasis must complete: Math 105, 106,112,205,291,298,305,315,331,332, 415,420, two courses at the 300 or 400 level, Computer Science 101, and Education 300, 330, 425, and 435. All concentrations must include 24 upper division units. Note: The general education requirement for a foreign language for those following a mathematical sciences major may be met by two years ofhigh school language or the first four units ofa college language. The science/mathematics requirement may be met by three units ofscience. MINOR A MATHEMATICAL ScrnNcES MINOR is offered with the completion of 27 units, six of which must be upper division. Students must con sult with department adviser. The basic curriculum for a minor is 105, 106, 205, 290, 298, two courses at the 300 level or above and computer science 101. COURSES 100 Intermediate Algebra (3) Review of elementary algebra, graphs and polynomials. Study of linear and quadratic equations and inequalities, factor ing, fractions, exponents and radicals. Prerequisite: one year of high school alge bra. Not counted for general education re quirement or toward graduation. 101 Precalculus Mathematics (3) Sets, the real number system, relations, functions, graphs, algebraic processes, inequalities, trigonometric functions, matri ces and determinants, complex numbers, exponential and logarithmic functions, in troduction to sequences, probability and statistics. Prerequisite: three years of high school mathematics or consent. Cannot be counted toward the major.
FACULTY Professor: Thurber Associate Professors: Stangl, Woo Instructor: Eklund
OBJECTIVES The Department of Mathematical Sciences at Biola University provides sever al areas of concentration in addition to a basic core curriculum. The student is al lowed considerable flexibility in the major depending upon his vocational or profes sional goals. The department has available a Digital Equipment Corporation VAX 11/780 computer in addition to Apple Ile, Macintosh and IBM PC microcomputers. 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) sup port 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 de partment provides an attractive and thor ough offering in mathematics as part of God's creation and there is a concerted ef fort to integrate faith and learning.
DEGREE PROGRAM A 8ACHEWR OF ScIENCE DEGREE IN
MATHEMATICAL ScIENCES is offered upon com pletion of the university baccalaureate and the math major in one of the emphases. Those who plan to pursue graduate studies should take at least two of 410,450 or 480 regardless of the area of concentration.
MAJORS Applied Math (48 units)
103 Calculus for Management Sciences (3)
This emphasis must complete: Math 105, 106,112,205,291,298,305,315,321,331, 332, 333, 435 or 440, COS 101, plus one course at 300 or 400 level if needed. Computer Science (54 units) 'This emphasis must complete: Math 105, 106, 112, 205, 291, 298, 305, 315, at least two of
298 Introduction to Modern Mathematics (3)
Fundamental principles of differential and integral calculus. Applications chosen mainly from the management sciences. Prerequisite: passing proficiency exam administered by Business Department or receiving a "C" or better grade in math 100 the prior year.
Methods of constructing proofs and the logic used in these methods, set theory, re lations, functions, cardinality, algebraic structures and properties of real numbers. Prerequisites: 205, 291 or consent.
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