ability, introduction to statistics, informal geometry. Designed for prospective elementary school teachers and to fulfill liberal arts requirements. Cannot be counted toward the major. Either semes ter. 205 INTERMEDIATE CALCULUS (4) Functions of two and three variables, par tial differentiation, multiple integration, curves and surfaces in three dimensional space. Prerequisite: I06. 210 INTRODUCTION TO PROBABILITYAND STATISTICS (3) Nature of statistical methods, description of sample data, fundamental concepts of probability, probability distributions, sam pling, estimation, correlation and regres sion; application of same. Topics from matrices, determinants, linear transformations and vector spaces. Appli cation to the theory of ordinary differential equations. Prerequisite: Math I 06 or con sent. 298 INTRODUCTION TO MODERN MATHEMATICS (3) 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, 290 or consent. 305 ADVANCED CALCULUS (3) The real number system, elementary to pological concepts in Cartesian spaces, convergence, continuity, derivatives and in tegrals. Prerequisites: 298 or consent. 290 LINEAR ALGEBRA WITH DIFFERENTIAL EQUATIONS (3) 315 MODERN ALGEBRA (3) Introduction to abstract algebra with topics from elementary ring, field and group the ories. Emphasis on ring of integers, congru ences, polynomial domains, permutation groups. Prereq~isite: 298 or consent.
321 NUMERICAL ANALYSIS(3) Functions of one variable, approximate nu merical solutions of non-linear equations and systems of linear equations, interpola tion theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. Prerequisites: 205, 290, COS IO I . Fee: $ I 0. 33 I PROBABILITY (3) Sample spaces, axioms and elementary theorems of probability, combinatorics , in dependence, conditional probability, Bayes' Theorem, one and higher dimensional ran dom variables, discrete and continuous random variables, special and multivariate distributions. Prerequisite: 205 or consent. 332 STATISTICS (3) Estimation: consistency unbiasedness, maximum likelihood, confidence intervals. Testing hypothesis: Type I and II errors, likelihood ratio tests, test for means and variances ; regression and correlation, Chi square tests, decision theory, nonparametric statistics; application of sta tistical methods. Prerequisite: 331 or con sent. 333 OPERATIONS RESEARCH (3) Mathematical foundations of model build ing, optimization, linear programmi ng models, game theoretic models. Prerequi sites 290, COS IO I . Fee: $ I 0. 400 DISCRETE STRUCTURES (3) Logical and algebraic structures, combin ational mathematics, graph theory. Prereq uisites 290, COS IO I . Fee: $1 0. 410 TOPICS IN ADVANCED CALCU LUS (3) Implicit function theorems, main theorems in integral calculus. Jacobian transforma tions, infinite series. Prerequisite: 305.
provides an attractive and thorough offer- ing in mathematics as part of God's cre ation and there is a concerted effort to in tegrate faith and learning. Department Major: All majors are re quired to take a core curriculum of I05, I06, 205, 290, 298, 305, 315 and comput er science IO I . Various sequences of courses which depend on the area of con centration are recommended to complete the requirements. Those who plan to pursue graduate studies should take 410 (Topics in Ad vanced Calculus) and 480 (a research semi nar) regardless of the area of concentra tion. The following course sequences are recommended for: Applied Math (45 total units): 321, 331, 332, 333, one section of 430. Computer Science (48 total units): 333, 400 and two of 321, 331 or 332. Comput er science I02 or 202 and two courses in computer science at the 300 level or above. Teaching (45 total units): 331, 332, 415 (Number Theory) and 420 (Modern Ge ometry). All concentrations must include 24 up per division units. 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. The science/mathematics requirement may be met by three units of science. Department Minor: 27 units, six of which must be upper division. Students must consult with department advisor. The basic curriculum for a minor is I05, I06, 205, 290, 298, two courses at the 300 level or above and computer science IO I . I00 INTERMEDIATE ALGEBRA (3) Review of elementary algebra, graphs and polynominals. Study of linear and quadratic equations and inequalities, factoring, frac tions, exponents and radicals (semi self paced). Prerequisite: one year of high school algebra.
IO I PRECALCULUS MATHEMATICS (3) Sets, the real number system, relations, functions, graphs, algebraic processes, in equalities, trigonometric functions, matri ces and determinants, complex numbers, exponential and logarithmic functions, in troduction to sequenes, probabil ity and statistics. Prerequ isite: three years of high school mathematics or consent. Cannot be counted toward the major. Fundamental principles of differential and integral calculus. Applications chosen main ly from the management sciences. Prereq uisite: passing proficiency exam adminis tered by business department or receiving a "C" or better grade in math I00 the pri or year. I03 CALCULUS FOR MANAGEMENT SCIENCES (4) I05 ANALYTIC GEOMETRY AND CALCULUS I (4) An introduction to analytic geometry, dif ferentiation and integration of polynomial functions, with applications. Prerequisite: four years of high school mathematics or consent. I06 ANALYTIC GEOMETRYAND CALCULUS II (4) Differentiation and integration of trigono metric, logarithmic and exponential func tions, various methods of integration, se quences and series, and vectors in the plane. Prerequisite: I05. Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, sim ple algebraic structures, binary arithmetic and other bases, methods of proof. Pre requisite: three years of high school math ematics or consent. I IO MATHEMATICS FOR COMPUTER SCIENCE (3)
111 FUNDAMENTALS OF MATHEMATICS (3)
Set theory, relations and functions, number systems and algebraic structures, numera tion systems, elementary number theory, mathematical systems, concepts of prob-
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