# Mathematics (MATH) Courses

**MATH 095 Math Skills **

*1-3 hours*. Class offers individually designed mathematical training to meet the needs and goals of any individual student. The extent of this training will be determined through a testing process. Topics covered include basic math, elementary algebra and intermediate algebra. This course does not fulfill general education requirements. This course is pre-college level and carries no credit toward degree requirements.

**MATH 150 The World of Mathematics **

*3 hours*. This is a liberal arts math course that emphasizes applications of mathematical concepts in areas such as financial topics, probability and statistics. Course uses spreadsheets as a mathematical tool.

**MATH 180 College Algebra **

*3 hours*. An algebra course designed for students who have a good background in high school algebra and are prepared to cover the major topics of algebra in more depth and breadth. Applications of algebra will be emphasized in this course. This course does not serve as a prerequisite for the calculus sequence.

*Prerequisite: high school algebra or equivalent.*

**MATH 190 Precalculus Mathematics **

*4 hours*. This is a course for students who are preparing to take calculus or other courses requiring a similar background. In addition to studying the topics found in a college algebra course, this course will focus on trigonometry and an introduction to exponential and logarithmic functions.

*Prerequisite: high school algebra or its equivalent. Students who have taken MATH 180 College Algebra may not take this course for credit.*

**MATH 201 Calculus I **

*4 hours*. Class is a study of limits of function, derivatives of functions, applications of derivatives, and an introduction to integration.

*Prerequisite: MATH 190 Precalculus Mathematics or equivalent.*

**MATH 202 Calculus II **

*4 hours*. This is a study of applications of integration, techniques of integration, techniques for improper integrals, limits of indeterminate forms, sequence and series, polar coordinates and parametric equations in the plane.

*Prerequisite: MATH 201 Calculus I.*

**MATH 211 Foundations of Elementary Mathematics I **

*4 hours*. This course is the first of two courses designed to engage elementary and middle school prospective teachers in the learning and development of the mathematical knowledge needed for teaching mathematics. It has a multi-dimensional focus on mathematical problem solving and reasoning with understanding of numbers and their properties through various representations, including algebraic and visual representations. An additional course fee is required.

**MATH 212 Foundations of Elementary Mathematics II **

*4 hours*. This course is the second of two courses designed to engage elementary and middle school prospective teachers in the learning and development of the mathematical knowledge needed for teaching mathematics. Emphasis will be placed on nuanced mathematics content knowledge needed for teaching within the domains of algebra, statistics, probability, geometry, and measurement.

*Prerequisite: MATH 211 Foundations of Elementary Mathematics I.*

**MATH 240 Statistical Procedures **

*3 hours*. Serves as an introduction to probability and statistics with content and application directed toward the natural and physical sciences. Topics to be covered include methods of describing data, probability, random variables and their distributions, estimation, hypothesis testing, linear regression and correlation.

*Prerequisite: MATH 180 College Algebra or equivalent.*

**MATH 260 Discrete Mathematics **

*3 hours*. This is an introduction to discrete mathematics. Topics covered include sets, functions, math induction, combinatorics, recurrence, graph theory, trees and networks.

**MATH 275 Field Experience **

*1-3 hours.*This is a supervised experience in the discipline, including internships and practica required for professional programs. This introductory experience must have an on-site supervisor and/or a departmental instructor overseeing, designing and evaluating the content of the course.

*Prerequisite: instructor's permission.*

**MATH 285 Selected Topics **

*1-3 hours*. A class with topics in mathematics chosen to fit special needs or interests of students, faculty or visiting professors.

*Prerequisite: instructor's permission.*

**MATH 290 Introduction to Proofs **

*3 hours.*This course is intended to facilitate a smooth transition from lower-level, computation-oriented math courses to upper-level, more theoretical courses. Topics include symbolic logic, methods of proof, and set theory.

*Prerequisite: MATH 201 Calculus I.*

**MATH 301 Calculus III**

*3 hours.* This course is an extension of MATH 201 and 202 Calculus I and II to functions of more than one variable. Topics include vectors, vector-valued functions, partial derivatives and multiple integration.

*Prerequisite: MATH 202 Calculus II.*

**MATH 311 Differential Equations with Linear Algebra **

*4 hours*. A study of the theory, methods of solution, and applications of ordinary differential equations and the techniques of linear algebra necessary to accomplish that study.

*Prerequisite: MATH 202 Calculus II.*

**MATH 312 Numerical Methods **

*3 hours*. A study of numerical solutions of mathematical problems, including nonlinear equations, systems of linear equations, polynomial approximations, root finding, integration, and differential equations. Computer programs are written to solve these problems (identical to CSIS 300)

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*Prerequisites: MATH 311 Differential Equations with Linear Algebra and either CSIS 201 Introduction to Computer Science I or ENGR 152 Engineering Principles II.*

**MATH 330 Engineering Statistics** 3 hours.Serves as an introduction to probability and statistics with content and application directed toward the engineering and science disciplines. Topics to be covered include methods of describing data, probability, random variables and their distributions, estimation, hypothesis testing, linear regression and correlation.

*Does not meet math major requirements.*

*Prerequisite: MATH 202 Calculus II or equivalent.*

**MATH 331 Probability **

*3 hours*. A study of sample spaces, combinatorial methods, discrete and continuous distributions, moment-generating functions, and the central limit theorem.

*Prerequisites: MATH 290 Introduction to Proofs and MATH 301 Calculus III.*

**MATH 332 Mathematical Statistics **

*3 hours*. Class is a study of statistical methods - including estimators, confidence intervals, tests of statistical hypotheses and correlation analyses - from a theoretical point of view, including applications.

*Prerequisite: MATH 331 Probability.*

**MATH 340 Number Theory **

*3 hours*. This is an introduction to the basic properties of whole numbers, including such topics as prime numbers, Euclid's algorithm, Fermat's Theorem, congruence and Diophantine equations. The course will emphasize historical development of the relevant topics.

*Prerequisites: MATH 202 Calculus II and MATH 290 Introduction to Proofs.*

**MATH 399 Cross-Cultural Study **

*3 hours*. This course offers in-depth discipline-specific cross-cultural study designed to enhance the intercultural emphasis of various academic majors. The course includes class meetings followed by travel to various locations throughout the world. Students will use core disciplinary knowledge to serve, learn and interact with other cultures. (Offered in May Term. Students must meet eligibility requirements.) Additional course fee is required.

**MATH 411 Advanced Linear Algebra **

*3 hours*. A study of matrices and their properties and application, linear transformations and vector spaces.

*Prerequisites: MATH 290 Introduction to Proofs.*

**MATH 412 Algebraic Structures **

*3 hours*. A study of groups, rings, integral domains, fields, polynomial rings and algebraic number systems.

*Prerequisites: MATH 202 Calculus II and MATH 411 Advanced Linear Algebra.*

**MATH 421 Real Analysis I**

*3 hours*. Class serves as an introduction to the fundamental concepts in real analysis including limits, continuity, sequences, series, differentiation and integration.

*Prerequisites: MATH 290 Introduction to Proofs and MATH 301 Calculus III.*

**MATH 422 Real Analysis II**

*3 hours*. Class serves as a continued study of the fundamental concepts in real analysis including limits, continuity, sequences, series, differentiation and integration. *Prerequisite: MATH 421 Real Analysis I.*

**MATH 475 Field Experience **

*1-3 hours.*This is a supervised experience in the discipline, including internships and practica required for professional programs. This advanced experience must have an on-site supervisor and/or a departmental instructor overseeing, designing and evaluating the content of the course. Pass/No Pass.

*Prerequisite: instructor's permission.*

**MATH 485 Selected Topics **

*1-3 hours*. This is a class with topics in mathematics chosen to fit special needs or interests of students, faculty or visiting professors.

*Prerequisite: instructor's permission.*

**MATH 490 Senior Seminar **

*2 hours*. A seminar for junior and senior math majors to explore current topics selected by the instructor. Emphasis will be placed on significant student involvement in the classroom.

*Prerequisite: junior or senior status.*

**MATH 495 Individualized Study **

*1-3 hours*. Independent study of mathematical topics outside the regular offerings. Topics include advanced calculus, mathematical statistics, topology, real and complex analysis, and others.

*Prerequisite: upper-division mathematics majors, and by permission.*