# Course Descriptions

M 100 ESSENTIAL MATHEMATICS (3)

This course is designed to provide the student with the basic skills, competencies, and problem solving opportunities required for successful entry into ACR level mathematics courses. Topics include elementary operations performed on, relationships between, and properties of the integers, rationals, and real numbers; algebraic operations on polynomial and rational expressions; exponentiation; linear, rational, and quadratic equations and inequalities; and introduction to functions; and order of operations with an emphasis on problem analysis and problem solving. This course will consist of online study and individual help from the instructor while developing essential skills in mathematics. Satisfactory classroom performance and passing of the comprehensive final to earn a grade of C or better enable the student to qualify for M 131 or M 132, ACR level Mathematics courses. Students who do not make a C or better may sign up for the class again until they achieve a passing grade and receive credit for the course. This course does not satisfy any ACR math requirement and is not open to any student that has completed any higher level math course. (Fall, Spring)

M 131 COLLEGE ALGEBRA (3)

This course focuses on functions, systems of equations. Problems solving is emphasized. Not open to students who have completed M 141 or M 181. Prerequisites: ACT math-sub-score of 19, satisfactory completion of M 100. (Fall and Spring)

M 132 ESSENTIALS OF STATISTICS (3)

This course provides an introduction to elementary probability theory, descriptive statistics and inferential statistics. Discrete and continuous distributions, including the binomial and normal distributions, are treated, as are the topics of linear regression, hypothesis testing, confidence intervals and sampling. Prerequisites: ACT math-sub score of 19, satisfactory completion of M 100. (Fall and Spring)

M 141 PRECALCULUS MATHEMATICS I (3)

This course focuses on algebraic functions and their properties, explores systems of equations and inequalities, treats operations on and the properties of matrices. While the emphasis is on the real numbers, the course also includes an introduction to the complex numbers relative to the Fundamental Theorem of Algebra. Prerequisites: ACT math-sub-score of 19, satisfactory completion of M 131. Not open to students who have completed M 181. (Fall)

M 142 PRECALCULUS MATHEMATICS II (3)

This course focuses on the transcendental functions and their properties. Topics include exponential, logarithmic, and trigonometric equations. Prerequisite: M 141 (Spring)

M 181 CALCULUS I (4)

Primarily differential calculus, this course will focus on functions, continuity, limits, and the derivative. This course will treat applications of these topics as well as explore the theoretical perspective. Prerequisites: ACT math sub-score greater than 19 (25 is recommended), successful completion of M 142, or departmental recommendation based on MPE. (Fall)

M 182 CALCULUS II (4)

This course is designed to introduce the integral and its applications. Topics include the Fundamental Theorem of Calculus and the Taylor and McLauren series expansions. Prerequisite: M 181 (Spring)

M 221 DISCRETE MATHEMATICS (3)

This course provides an introduction to discrete mathematical structures. Topics include elementary prepositional calculus, elementary set theory, functions and relations, recursion, induction, graph theory, and combinatorics. Prerequisite: M 181 (Spring of even numbered years)

M 241 HISTORY OF MATHEMATICS (3)

This course will cover a small sampling of the important ideas and events in the history of mathematics, from the clay tablets of the Babylonians to the beginnings of calculus. Students will examine mathematics itself, using both primary sources and modern interpretations; however, time will also be spent on the people and cultures responsible for its development. Prerequisite: M 131 (Spring of odd numbered years)

M 283 MULTI-VARIABLE CALCULUS (4)

This course continues the study of calculus, with emphasis on functions of two or more variables. Topics covered include polar coordinates, vectors, three-dimensional spaces, partial derivatives, and multiple integrals. Prerequisite: M 182 (Fall)

M 299 TRANSITION TO ADVANCED MATHEMATICS (3)

An early introduction to proof techniques utilizing logic, sets, number theory, and various familiar mathematical structures. This course is designed to offer opportunities for the student to learn to construct mathematically correct, clearly written, and readable proofs, which use consistent notation. Sets, number theory, and other familiar mathematical structures will provide the initial setting. Prerequisite: M 182 (Fall)

M 300 BUSINESS STATISTICS (3)

This course uses Excel to address an array of statistical tests and analytical techniques central to all business areas. The core topics include confidence estimates and hypothesis testing with Excel, single variable regression, multiple variable linear regression, time series models, quality control, and probability distributions key to risk management. Prerequisites: Math 132 and CA 218. Also listed as BA 300.

M 311 MATHEMATICAL STATISTICS I (3)

This course is an introduction to probability theory utilizing calculus. Topics include probability spaces, random variable, probability functions, various discrete and continuous distributions, moment generating functions and sampling distributions. Prerequisites: Math 132 and Math 283 (Spring of odd numbered years)

M 351 LINEAR ALGEBRA (3)

This course includes the study of abstract vector spaces, linear transformations and their matrices, systems of linear equations and determinants, inner products, and diagonalization of symmetric matrices. Prerequisite: M 283 (Spring of even numbered years)

M 355 MATH FOR ELEMENTARY SCHOOL TEACHERS (3)

This course is a mathematics course, and so the primary goal of this course is to improve, broaden, and deepen student facility with, appreciation for, and understanding of mathematics. The content of the course has been chosen specifically to be of most benefit to those who aspire to be K-5 and Special Education teachers. Students in the course may be tacitly familiar with many of the topics in the courses, but will be challenged throughout to move their knowledge of these areas toward a pedagogical level—one in which you understand how the mathematical ideas are skattered within school mathematics and within the discipline. This course is NOT a course on “methods for teaching elementary school mathematics,” or on “learning only the mathematics elementary students must know.” However, the student focus, the variety of instructional techniques, and the use of manipulatives will help the student build a solid pedagogical framework for your future mathematics teaching. Prerequisites: M131, and M132 or equivalent (fall)

M 356 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II (3)

Develop advanced perspective on concepts, structures, and algorithms of math constituting the core of K-5 math curriculum: the real number system; number theory; algebra and functions; geometry and measurement; probability and statistics; mathematical reasoning. Prerequisites: M131 and M132, or equivalent

M 361 INTRODUCTION TO GEOMETRY (3)

This course is designed to provide a thorough background in geometry. The course will emphasize proof, congruent triangles, similar polygons, right triangles, circles, constructions, loci, and areas and volumes of solids, and will include some exploration of Non-Euclidean geometry. Prerequisite: M 299 (Spring of odd numbered years)

M 371 ORDINARY DIFFERENTIAL EQUATIONS (3)

A study of ordinary differential equations and their solutions. A number of methods used to solve such equations will be studied. Practical problems in physics, engineering, biology, economics, sociology, and chemistry are solved. This course will help the student integrate calculus, analytic geometry, algebra, and trigonometry. Prerequisite: M 283 (Spring of even numbered years)

M 411 INTRODUCTION TO MODERN ALGEBRA (3)

Some of the topics that will be studied are number theory, proof, groups, equivalencies, congruencies, rings, and fields. This course will help the student develop mathematical maturity. The course is strongly recommended for students who plan to attend graduate school or teach mathematics. Prerequisites: M 283 and M 299 (Fall of odd numbered years)

M 441 ANALYSIS (3)

This course is designed to continue the study of calculus and analysis. The topics covered will have more of a theoretical approach than some of the same topics discussed in more elementary mathematics. Proof is emphasized. Prerequisites: M283 and M 299 (Fall of even numbered years)

M 464r MATHEMATICS SEMINAR (1)

This course will provide capstone experiences for the student, revisiting the topics in mathematics that have been covered as part of the mathematics program and spending time on problem solving and providing chances to see the connections among the different branches of mathematics. Some time may also be spent studying the history of mathematics beyond the development of calculus. Open to juniors or seniors. (Fall, Spring)