College Algebra 3 Equations, inequalities, systems of equations, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, sequences and series. Prerequisite: Three years of high school mathematics or consent. Liberal Studies majors only.
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. When Offered: Fall, spring. 3 Topics from matrices, determinants, linear transformations and vector spaces. When Offered: Fall. Prerequisite: 106 or consent. Linear Algebra Introduction to Real Analysis I 3 The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. When Offered: Alternate years. Prerequisite: 112 and 205 or consent. 3 Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups. When Offered: Alternate years. Prerequisite: 112 and 291 or consent. Abstract Algebra I Biostatistics 3 Prepares the student for biostatistical application essential to practice in evidence-based professions. Content includes: descriptive statistics; probability theory and rules; discrete and continuous probability distributions; sampling distributions; confidence intervals; hypothesis testing; experimental design; ANOVA; linear and multiple regression; contingency table analysis; non-parametrics; survival analysis; discussion of the use of statistics in journal articles. Notes: Credit given for only one of 210 and 318. 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. When Offered: Alternate years. Prerequisites: 291, CSCI 105. Numerical Analysis Mathematics CSET Preparation 1 Review of the subject matter of the Subtests of the CSET Mathematics exam. Test-taking strategies. Notes: May be repeated for credit. Does not count toward the Major.
MATH 104
MATH 210
173
MATH 291
Calculus I
4
MATH 105
Limits, differentiation and integration of rational and trigonometric functions, with applications. Introduction to use of Mathematica. When Offered: Fall. Prerequisite: Four years of high school mathematics or consent. 4 Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates. When Offered: Spring. Prerequisite: 105. Calculus II
MATH 305
MATH 106
MATH 315
Discrete Structures
3
MATH 112
Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, simple algebraic structures, binary arithmetic and other bases, methods of proof. When Offered: Spring. Prerequisite: Three years of high school mathematics or consent. 3 Problem solving, set theory, whole numbers, number theory, integers, rational numbers as fractions, decimals, percents, and real numbers. Use of manipulatives. For elementary education majors only. Notes: Cannot be counted toward the mathematics major. Fundamentals of Mathematics for Elementary Teachers I Fundamentals of Mathematics for Elementary Teachers II 3 Introductory geometry, congruence, symmetry, measurement, algebra and coordinate geometry, statistics, probability. Use of manipulatives. For elementary education majors only. Notes: Cannot be counted toward the mathematics major. 3 Selected topics in mathematics with consideration of historical development and related philosophical issues. Designed to meet the general education requirement in mathematics for liberal arts students. When Offered: Fall, spring. Notes: Cannot be counted toward the mathematics major. Credit given for either 120 or 130, not both. The Nature of Mathematics 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. Prerequisite: 101 or equivalent, or consent of the instructor. Notes: May be counted toward the mathematics minor. Credit given for either 120 or 130, not both. 3 Collection and presentation of business data, central tendency and dispersion measures for business analysis, sampling and inference for confidence intervals and hypothesis testing, business forecasting with simple and multiple regression, index numbers. When Offered: Fall, spring. Prerequisite: For business majors only. Consent. Business Statistics Calculus III 4 Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. When Offered: Fall. Prerequisite: 106.
MATH 318
MATH 117
MATH 321
MATH 118
MATH 326
MATH 120
Probability
3
MATH 331
Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes’ Theorem, one and higher dimensional random variables, special and multivariate distributions. When Offered: Alternate years. Prerequisites: 112, 205. Statistics 3 Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; 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 statistical methods. When Offered: Alternate years. Prerequisite: 331 or consent. Operations Research 3 Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Prerequisites: 105, CSCI 105. 3 Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fermat center. Compass constructions. Solid geometry. Spherical geometry of arcs. Coordinate geometry. When Offered: Alternate years. Prerequisite: Consent. Classical Geometry
MATH 130
MATH 332
MATH 190
MATH 333
MATH 341
MATH 205
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