Department of Mathematical Sciences
FACULTY
Professor: F. Lu Associate Professor: Thurber (chairperson)
The Department of Mathematical Sciences at Biola Coll ege provides several areas of concentration in addition to a basic core curriculum. The student is allowed considerable fl exibility 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. Department Major: 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 . Department Minor: 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) 201 INTRODUCTION TO PROBABILITY AND Sets, the real number system, relations, functions , graphs , STATISTICS (3) algebraic processes, inequalities, trigonometric functions, Nature of statistical methods, description of sample data, matrices, and determinants, complex numbers, exponential fundamental concepts of probability, probability distribution, and logarithmic functions , introduction to sequences, sampling, estimation, correlation and regression; application probability, and statistics. Prerequisite: 3 years of high school to life science, business and economics, education, mathematics or consent. Cannot be counted toward the engineering, health, insurance, social sciences. major. 205 INTERMEDIATE CALCULUS I (3) Vector functions and their derivatives, differential and integral ~ ANALYTICAL GEOMETRY AND CALCULUS I (4) calculus of several variables, curves and polar coordinates, An introduction to analytical geometry, differentiation , and infinite series. Prerequisite: 106. integration of polynomial functions , with applications. 206 INTERMEDIATE CALCULUS II (3) Prerequisite: 4 years of high school mathematics or consent. More topics on infinite series and calculus of several variables, differential equations. Prerequisite: 205. 106 ANALYTICAL GEOMETRY AND CALCULUS II (4) Differentiation and integration of trigonometric, logarithmic, 294 LINEAR ALGEBRA (3) and exponential functions , various method of integration , and Topics from ll]atrices, determinants, linear transformations, vectors in the plane . Prerequisite: 105. and vector spaces. Prerequisite: 106 or consent. 305 ADVANCED CALCULUS (3) 111 FUNDAMENTALS OF MATHEMATICS (3) The real number system, elementary topological concepts in Set theory, relations and functions , number systems and Cartesian spaces, convergence, continuity, derivatives and algebraic structures, numeration systems, elementary number integrals. Prerequisite: 206, 294. theory, mathematical systems, concepts of probability, 315 MODERN ALGEBRA (3) introduction to statistics, informal geometry. Designed for Introduction to abstract algebra with topics from elementary prospective elementary school teachers and to fulfill liberal ring, field , and group theories. Emphasis on ring integers, arts requirements. Cannot be counted toward the major. congruences, polynomial domains , permutation groups. Either semester. Prerequisite: 294 or consent. .J (j£g) INTRODUCTION TO COMPUTERS (3) 321 NUMERICAL ANALYSIS I (3) Uses for electronic computers, computer arithmetic, and data Functions of a single variable, solution of nonlinear equations, representation ; internal operation and storage, programming, interpolation and approximation of functions , numerical basic computer instructions, FORTRAN-elementary features , differentiation and integration. Two hours lecture, three hours elementary COBOL; application to statistics, life science, laboratory (with computer programming). Prerequisite: 106 or business , social science. consent. T
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