## Mathematics (MATH)

001—Introductory Algebra, 3 Cr.

Real number system, order of operations. Algebraic problem solving, solving linear equations. Cartesian coordinate system, graphs of equations. Exponents and radicals. Factoring polynomials, solving equations by factoring. A grade of C or higher is required to take 111 or 130. Credit is not applicable towards graduation.

090—Pre-Algebra with Study Skills and Learning Strategies, 1.5 Cr.

Math attitude, study habits and preparation for tests. Math timeline and biography. Math learning style.  Time management and scheduling. Math anxiety. Whole numbers, integers and introduction to algebra.  Fractions and equations, applications of fractions and equations. Decimals, percents, ratio, rate and proportion. Order of operations. Introduction to statistics. This is a half-semester course. Credits not applicable toward graduation. Graded CR/NC.

091—Introductory Algebra, 1.5 Cr.

Real number system, properties and order of operations. Area and perimeter of rectangles, areas, and circles. Algebraic problem solving, solving linear equations and inequalities. Cartesian coordinate system, graphing linear equations and inequalities in two variables. Systems of linear equations. Exponents and radicals. Factoring polynomials, algebra of rational expressions, solving equations by factoring. This is a half-semester course. Credits not applicable toward graduation.

111—Intermediate Algebra, 3 Cr.

This course builds on the concepts and skills developed in MATH 091, or an equivalent first-year algebra course, and prepares students for MATH 112 (College Algebra) or 113 (Trigonometry.) It covers linear equations and inequalities, graphs and functions, system of equations and inequalities, polynomials and factoring, rational expressions, radicals and complex number, and quadratic functions and equations. Prerequisite: acceptable placement score or grade of C or higher in 091.

112—College Algebra, 3 Cr.

This course builds on the concepts and skills developed in MATH 111, or an equivalent second-year Algebra course, and prepares students for MATH 270 (Managerial Mathematics) or serves as a co-prerequisite for MATH 220 (Calculus I.) Topics include functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, matrices and linear systems, sequences and series. Prerequisite: acceptable placement score or grade of C or higher in 111.

113—Trigonometry, 3 Cr.

This course focuses on the concepts and applications of trigonometry. The primary goal is to prepare students for their calculus course. Topics covered include the basics of the trigonometric functions and their graphs and applications, trigonometric identities and equations, the Law of Sines and Law of Cosines, vectors, complex numbers, conic sections, parametric equations and polar coordinates. Prerequisite: acceptable placement score or grade of C or higher in 111.

130—Introductory Statistics, 3 Cr.

An introductory course which deals with the organization and processing of various types of data, normal and binomial distributions, estimation theory, hypothesis testing based on the normal distribution, the t-distribution, the Chi-square distribution, and the F-distribution, and correlation and regression. Prerequisite: acceptable placement score or grade of C or higher in 091 or 001.

155—Mathematics: A Way of Thinking, 3 Cr.

An investigation of topics such as the history of mathematics, number systems, the mathematics of voting, graphing theory, geometry, logic, probability, and statistics. There is an emphasis throughout on problem-solving. Prerequisite: acceptable placement score or grade of C or higher in 091 or 001.

220—Calculus I, 4 Cr.

Limits and continuity. Derivatives and applications. Differentiation of polynomial, rational, trigonometric, logarithmic and exponential functions. L’Hopital’s Rule. Prerequisite: acceptable placement score, or at least three years of high school algebra and trigonometry with at least a B average, or a grade of C or higher in 112 and 113.

221—Calculus II, 4 Cr.

The integral, Fundamental Theorem of Calculus, applications of integration, methods of integration. Parametric and polar functions. Area, volume, arc length, surface area. Offered each spring. Prerequisite: C or higher in 220.

222—Calculus for the Life Sciences, 4 Cr.

This course is intended to be a one-semester survey of calculus topics specifically for biology majors. Topics include limits, continuity, derivatives, integration, and their applications, particularly to problems related to the life sciences. The emphasis throughout is more on practical applications and less on theory. Prerequisite: placement score into 220 or grade of C or higher in 180.

230—Elements of Statistics, 4 Cr.

Probability, random variables, mathematical expectation, estimation of parameters, tests of hypotheses, regression, correlation, and analysis of variance are some topics covered. Computers are heavily used for problem-solving and data analysis. Prerequisite: acceptable placement score or grade of C or higher in MATH 112.

255—Mathematics for Elementary and Middle School Teachers I, 3 Cr.

Principles, goals, and methods of teaching elementary school and middle school mathematics. Topics include set theory, number systems, whole numbers, number theory and integers and the associated binary operations. Emphasis on problem solving. Offered every semester. Prerequisite: grade of C or higher in 155 or a Math ACT score of 22 or higher.

260—Introduction to Abstract Mathematics, 4 Cr.

Sentential and quantifier logic, axiomatic systems, and set theory. Emphasis is on the development of mathematical proofs. Prerequisite: grade of C or higher in 112.

270—Managerial Mathematics, 3 Cr.

Several topics applicable to the study of business are covered. In particular, the course considers systems of linear equations and linear programming, the mathematics of finance, and an introduction to probability. Emphasis in the course is on applications. Prerequisite: acceptable placement score or grade of C or higher in 112.

320—Calculus III, 4 Cr.

Infinite series. Multivariate calculus: three-dimensional coordinate system, vectors and applications, partial differentiation, multiple integration and applications. Offered each fall. Prerequisite: C or higher in 221. .

321—Differential Equations, 3 Cr.

Ordinary differential equations; series solutions for linear differential equations; linear operators. Offered as needed. Prerequisite: grade of C or higher in 221.

330—Probability Theory and Statistics, 3 Cr.

Theory and application of probability; discrete and continuous variables; the binomial, Poisson, geometric, normal, gamma, and chi-square are examples of distributions studied. Offered as needed. Prerequisite: grade of C or higher in 221; grade of C or higher in 130 or 230.

340—Linear Algebra, 3 Cr.

Vector spaces, matrices, and matrix operations; determinants; linear transformations. Offered every other year. Prerequisite: grade of C or higher in 221.

344—Abstract Algebra, 4 Cr.

Study of selected algebraic topics such as: groups, rings, and fields; ring of integers, polynomials; field of real numbers, complex numbers; finite fields. Offered every other year. Prerequisite: grade of C or higher

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355—Content and Methods in Mathematics for Elementary and Middle School Teachers II, 3 Cr.

Principles, goals, and methods for teaching mathematics in elementary and middle school. Topics include rational numbers, real numbers, and geometry. Emphasis on problem-solving. Prerequisite: grade of C or higher in 255; admission to teacher education program.

365—Numerical Analysis and Modeling, 3 Cr.

The purpose of this course is to introduce the student to a variety of mathematical models, solution techniques, and basic programming. A variety of models and solution techniques are covered, as chosen by the instructor. Basic programming topics include input/output, if-then statements, loops, and arrays. A variety of numerical techniques are covered with may include Runge Kutta methods, fixed point iteration, Newton’s method, and Monte Carlo simulation. Requirements include an application/modeling project with a written report and class presentation. Prerequisite: acceptable placement score or grade of C or higher in 221.

420—Real Analysis, 4 Cr.

Study of selected topics from real variable theory such as: real numbers; topology of the real line; metric spaces; Euclidean spaces; continuity; differentiation; the Riemann-Stieltjes integral; series. Offered every other year. Prerequisite: grade of C or higher in 221 or 260.

450—Geometry, 3 Cr.

Topics in Euclidean and other geometries; foundations of geometry; place of Euclidean geometry among other geometries. Offered every other year. Prerequisite: grade of C or higher in 260.

499—Mathematics Seminar, 1 Cr.

Selected topics of current interest in mathematics are researched and presented. Students, faculty, and occasional guest speakers share in the presentations. Offered as needed. Restricted to students with junior standing or higher. Permission of instructor required. May be repeated for credit.