# Mathematics Course Descriptions

*Prerequisite: Prealgebra or beginning algebra in high school or college. *

The traditional topics of intermediate algebra through quadratic equations and functions.

*Prerequisite: One year of high school algebra or MATH 100. *

Development of the number systems — whole numbers through real numbers. Problem solving strategies, functions, elementary logic and set theory are included.

*Prerequisite: MATH 101. *

An introduction to geometric concepts, measurement, probability, statistics and basic computer concepts.

*Prerequisite: MATH 100 or one year of high school algebra and one year of high school geometry. *A study of functions and graphs, solutions of equations and inequalities and the properties of polynomial, rational, exponential and logarithmic functions.

*Prerequisite: MATH 109 or two years of high school algebra and one year of high school geometry. *

The study of trigonometric, logarithmic and exponential functions and their applications.

This course is designed to help students learn to apply the tools of logic to concrete situations, such as those posed on LSAT and GMAT tests. The course will include a discussion of propositional logic, propositional equivalences, rules of inference and common fallacies. Students are strongly encouraged to take PHIL 100: Introduction to Logic and Critical Thinking either prior to or concurrently with this course.

*Prerequisite: At least two years of high school algebra.*A quantitative reasoning course for students in the liberal arts, focusing on applications of mathematics to social issues in our world. Contains the study of providing urban services, making social choices, constructing fair voting systems, and planning the fair division of resources.

*Prerequisite: High-school level algebra skills and/or successful completion of College Algebra are required.*

This course is designed to prepare students for Calculus I. It covers a variety of topics from algebra, with emphasis on the development of rational, exponential, logarithmic and trigonometric functions including their essential properties, graphs and basic applications. Additional topics range from linear systems to conic sections.

*Prerequisite: One year of high school algebra.*

A course to acquaint the student with the basic ideas and language of statistics including such topics such as descriptive statistics, correlation and regression, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

*Prerequisite: Two years of high school algebra. *

Topics from differential and integral calculus with an emphasis on business applications. This class cannot be used as a prerequisite for MATH 232.

*Prerequisite: Two years of high school algebra and one semester of high school trigonometry. *

A study of the fundamental principles of analytic geometry and calculus with an emphasis on differentiation.

*Prerequisite: MATH 231 or MATH 236. It is recommended that students receive a grade of C or better in MATH 231 or MATH 236 to be successful in this course.*

Continuation of Calculus I including techniques of integration and infinite series.

*Prerequisite: MATH 232. It is recommended that students receive a grade of C or better in MATH 231 to be successful in this course.*

Functions of two variables, partial differentiation, applications of multiple integrals to areas and volumes, line and surface integrals, and vectors.

*Prerequisite: MATH 231 or MATH 236. Recommended prerequisite: MATH 232.*

A careful introduction to the process of constructing mathematical arguments, covering the basic ideas of logic, sets, functions and relations. A substantial amount of time will be devoted to looking at important forms of mathematical argument such as direct proof, proof by contradiction, proof by contrapositive and proof by cases. Applications from set theory, abstract algebra or analysis may be covered at the discretion of the instructor.

*Prerequisite: MATH 232.*

Study of linear transformations, matrices and vector spaces.

*Prerequisite: Math ACT score of 28 or better and a course in trigonometry with a grade of B or better.*

This course is an introduction to single variable calculus with an emphasis on differential calculus. We will cover limits, derivatives, and applications, with an emphasis on both calculational techniques and their theoretical underpinnings. The course will conclude with an exploration of the Riemann sum definition of the definite integral.

Selected Topics are courses of an experimental nature that provide students a wide variety of study opportunities and experiences. Selected Topics offer both the department and the students the opportunity to explore areas of special interest in a structured classroom setting. Selected Topics courses (course numbers 290, 390, 490) will have variable titles and vary in credit from 1-3 semester hours. Selected Topic courses may not be taken as a Directed Study offering.

Many academic departments offer special research or investigative projects beyond the regular catalog offering. Significant responsibility lies with the student to work independently to develop a proposal for study that must be approved by a faculty mentor and the appropriate department chair. The faculty member will provide counsel through the study and will evaluate the student’s performance. Sophomores, juniors and seniors are eligible. Students must register for research (291, 292, 391, 392, 491 or 492) to receive credit and are required to fill out a Permission to Register for Special Coursework form. It is recommended that students complete not more than 12 hours of research to apply toward the baccalaureate degree.

*Prerequisite: MATH 234 or CSCI 241 and CSCI 262, MATH 235.*

The elementary properties of groups, rings and fields are developed.

*Prerequisite: MATH 232. It is recommended that students receive a grade of C or better in MATH 232 to be successful in this course. *

This course includes an introduction to probability theory, discrete and continuous random variables, mathematical expectation and multivariate distributions.

*Prerequisite: MATH 326. It is recommended that students receive a grade of C or better in MATH 326 to be successful in this course. *This course takes the material from MATH 326 into the applications side of statistics including functions of random variables, sampling distributions, estimations and hypothesis testing.

*Prerequisite: MATH 234.*

Foundations of Euclidian geometry from the axioms of Hilbert and an introduction to non-Euclidian geometry.

*Prerequisite: MATH 232. *A first course in ordinary differential equations.

Interns must have at least 60 credit hours, completed appropriate coursework and have a minimum GPA of 2.5 prior to registering for academic credit. Also, approval must be obtained from the student's faculty sponsor and required forms must be completed by the deadline. Note: *Architecture, Music Therapy and Education majors do not register internships through Career Planning & Development. These students need to speak with his/her advisor regarding credit requirements and options.

*Prerequisite: MATH 233, MATH 234. Recommended prerequisite: MATH 301. *

Real number system, set theory, continuity and differentiability.

*Prerequisite: MATH 233, MATH 234. *A study of complex numbers, analytic functions, complex integration, residues and series.

*Prerequisite: MATH 234.*

An introduction to point-set topology. Metric spaces, connectedness, completeness and compactness are some of the topics discussed.

Modern topics in mathematics are discussed in a seminar setting. Students integrate their study of mathematics throughout their undergraduate years and explore the connections among mathematics and other courses they have pursued. Departmental assessment of the major is included. *This course is designed to be a capstone experience taken during the final semester of the senior year. This course has been approved as an Honors qualified course.*

The history and philosophy of mathematics are discussed in a seminar setting. All students in this course must complete a project wherein familiar questions asked by high school math students are examined and answered in depth. Also, students are required to read and make a presentation on an article from an approved mathematics education journal. Department assessment of the major is included. *This course is designed to be a capstone experience taken during the fall semester of the senior year.*