College A lgebra ... ......... ............................................... ............ 3 Equations, inequalities, systems of equations, functions and graphs, polynomial and rational functions, exponen tial and logarithmic functions, sequences and se ries. Prerequisite: Three years of high school mathematics or consent. Liberal Studies majors only. Ca lculus 1 .......................... .. ............................... .... .... .. .............. 4 Limits, differentiation and integration of rational and trigonometric functions, with applications. Introduction to use of Mathematica. Prerequisite: four years of high school mathematics or consent. Fall. Calcu lus 11 ................................................................................... 4 Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integra tion; infinite sequences and series; parametric equations, polar coordinates. Prerequisite: 105. Spring. Di screte Structures .................. .. ...................................... .. ..... 3 Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, simple algebraic structures, binary arithmetic and other bases, methods of proof. Prerequisite: three years of high school mathematics or consent. Spring. Fundamentals of Mathematics for Elementary Teachers 1 .................... .. .. .. .... .. .... .. ...... .. .. .... 3 Problem solving, set theory, whole numbers, number theor y, integers, rational numbers as fractions, decimals, percents, and real numbers. Use of manipulatives. For elementary education maJors only. Cannot be counted towa rd the mathematics major. Fundamentals of Mathematics for Elementary Teachers 11.. .. .. .................. ........................... 3 Introductory geometry, congruence, symmetry, measure ment, algebra and coordinate geometry, stat istics, probability. Use of manipulatives. For elementary education majors on ly. Cannot be counted toward the mathematics major. The Nature of Mathematics ............ .. .. .... .. ........ .. .. .......... ..... 3 Selected topics in mathematics with consideration of histori cal development and related philosophical issues. Designed to meet the general education requirement in mathemat- ics for liberal arts students. Cannot be counted toward the mathematics major. Fall, spring. Credit given for either 120 or 130, not both. Honors Nature of Mathematics .. .. ........ .............................. 3 A historical, thematic and integrative study of the nature of mathematics using selected topics. Readings in primary source material. Mathematical content includes number theory, geometries and concepts of calculus. May be counted

toward the mathematics minor. Prerequisite: 101 or equiva lent, or consent of the instructor Credit given for either 120 or 130, not both.

MATH 104

Business Statistics .. .. .............................................. ...... .. .. ...... 3 Collection and presentation of business data, central tenden cy and dispersion measures for business analysis, sampling and inference for confidence intervals and hypothesis testing, business forecasting with simple and multiple regression, index numbers. Prerequisite: consent. Fall, spring. For business majors only. Calculus Ill ..... .... .... ............................................................. ..... 4 Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. Prerequisite: 106. Fall. Introduction to Probability & Statistics .................. .. ...... . 3 Nature of statistical methods, description of sample data, fundamental concepts of probability, probability distributions, sampling, estimation, correlation and regression, application of same. Fall, spring.

MATH 190

MATH 105

MATH 20 5

MATH 106

MATH 2 10

MATH 112

Linear A lgebra .. .. ...... ...... .. . ........ .. ................ .... .. ...... .. .. .. .. .. .. .... 3 Topics from matrices, determinants, linear transformations and vector spaces. Prerequ isite: 106 or consent. Fall.

MATH 291

MATH 111

Advanced Calculus .................... .. ............ ......... ..................... 3 The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. Prerequisite: 112 and 205 or consent. Alternate years. Modern Algebra ............................ .. .. .. .. .. .. .. ............................ 3 Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups. Prerequisite: 112 and 291 or consent. Alternate years. Numerical Ana lysis ................................ .. ........ .. .. ..... .. .. .. ....... 3 Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. Prereq uisites: 291, Computer Science 105. Alternate years. Probab i lity .............. .. .. .. ...... .. .... .. ................................ ........ .. .. .. 3 Samples spaces, axioms and elementary theorems of prob ability, combinatorics, independence, conditional prob- ability, Bayes'Theorem, one and higher dimensional random variables, special and mu ltivariate distributions. Prerequisites: 112, 205. Alternate years.

MATH 305

MATH 315

MATH 11s

MATH 321

MATH 120

MATH 33 1

MATH Bo

Undergraduate Programs

BIOLA UNIVERSITY

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