# Course Category: Mathematics

This course emphasizes study skills for algebra and calculator use while covering the following topics: basic algebra including real numbers, variable expressions, solving equations and equation applications. This course is designed for students who have not had a mathematics course for several years or who have never had an algebra course. This course is the first in a series of two courses that will prepare the student for the general education requirement in mathematics. This course may not be taken for credit after successfully completing a higher level math course. Note: credit from courses below the 100-level does not count toward the minimum 120 hours required for graduation.

This course covers topics needed to successfully complete the College Mathematics course. Topics include: polynomials and exponents, factoring and solutions of quadratic equations, rational expressions and equations and linear equations. This course will prepare students for the general education requirement in mathematics. This course may not be taken for credit after successfully completing a higher level math course. Note: credit from courses below the 100-level does not count toward the minimum 120 hours required for graduation.

**Prerequisites**

Prerequisite for Fayette campus only: Pass MATH 090 or ACT math score = 15 or an alternative placement mechanism as approved by the math department or instructor approval.

This course discusses a variety of mathematical techniques to improve the ability to critically reason and solve quantitative problems in realistic contexts. Topics include; logical analysis, sets, unit analysis, money management.

This course is a survey of mathematical applications of functions. Topics that will be covered include: fundamental concepts of algebra, algebraic equations and inequalities; functions and graphs; zeros of polynomial functions; exponential and logarithmic functions; systems of equations and inequalities. The mathematics of personal finance will also be studied.

**Prerequisites**

Pass MATH 095 or ACT math score = 19 or an alternative placement mechanism as approved by the math department or instructor approval.

This course is a study of functions, with specific focus on polynomial, rational, radical, exponential, logarithmic, and piecewise-defined functions. Representing functions, graphing functions, combining functions, and modeling with functions will be discussed.

**Prerequisites**

Pass MATH 095 or ACT math score > or equal to 21 or an alternative placement mechanism as approved by the math department or instructor approval.

This course examines quantitative methods for treating problems arising in biological, management, and social sciences. Topics include a brief review of sets, algebra, graphs, and functions systems of linear equations and matrices; linear programming; probability, derivatives and integrals.

This course is a study of trigonometry and analytic geometry. Topics include trigonometry, polar coordinates, vectors, conic sections, and parametric equations.

**Prerequisites**

Pass MATH 107 or ACT math score > or equal to 26 or an alternative placement mechanism as approved by the math department or instructor approval

This is the first of four courses combining plane and solid analytic geometry and calculus. This course focuses on differentiation of all elementary and trigonometric functions, including parametric and polar functions.

This is a course in the calculus sequence. This course covers single variable integration techniques, and the application of single variable differential and integral calculus to curves in 2D and 3D.

Students will learn how to find the optimal solution to problems involving realistic systems like those found in organizations or computer networks. Students will learn to find the optimal solution of a problem via appropriate use of either rational decision making or mathematical modeling and optimization. Topics include introductions to reasoning and logic, cost benefit analysis, mathematical modeling, graph theory, algorithms, linear programming, network analysis, queuing theory, and simulation modeling.

**Prerequisites**

MATH 115 (at least a "C-") and MATH 220 (at least a "C-") and CS 205 (at least a "C-") or instructor approval.

This is a course in the calculus sequence. It covers sequences and series as well as going in depth into limits and analysis including basic proofs of calculus concepts.

This is a course in the calculus sequence. This course covers multiple variable function and vector field differential and integral calculus.

An introduction to the simpler problems of statistical inference, descriptive statistics, probability distributions, estimation of parameters and level of significance, regression and correlation. This course may not be completed for additional credit by students who have completed MATH 226.

**Prerequisites**

Pass (MATH 105 or above) or ((pass MATH 095 or ACT math score ≥ 19) and pass MATH 100) or ACT math score ≥ 24 or an alternative placement as approved by the math department or instructor approval

The content of special topics courses will vary each time a special topic is offered.

An introduction to ordinary differential equations with elementary applications.

This course develops the algebra and geometry of finite-dimensional linear vector spaces and their linear transformations. Also studied are the algebra of matrices and the theory of eigenvalues and eigenvectors.

This course examines simple probability models, random variables, discrete and continuous distributions, sampling, elementary hypothesis testing and the power of a test, as well as application of probability to statistical methods.

This course is the second part of a sequence course. It introduces students to various statistical inference topics: point estimation, interval estimation, and nonparametric tests. In addition, it also examines decision theory, regression analysis, correlation, design and analysis of experiments and time series/forecasting.

This course is an introduction to combinatorics, graph theory, and number theory and their applications.

This course provides a concentrated study of logic, sets, and proofs. Students will also learn more about mathematics as a field of study and the history of mathematics.

A study of non-Euclidean geometry and Euclidean geometry motivated by Euclid’s Parallel Postulate. The course features a historical as well as mathematically rigorous approach to geometry. Topics include Euclid’s Parallel Postulate, Hilbert’s Axioms, Neutral Geometry, Non-Euclidean Geometry and Hyperbolic Geometry.

An introduction to the rigorous treatment of completeness of the real numbers, convergence of sequences, limits and continuity of functions, and differentiation and integration.

This is a computer-oriented course, introducing students to numerical methods of solutions to mathematical problems and the programming of these methods. Some knowledge of programming is required, along with calculus and elementary matrix theory.

This course aims at helping students prepare for the Society of Actuaries P Exam on probability. The application of problems encountered in actuarial science is emphasized. To this end, students will spend their time working on past problems from actual P Exams. Students will be expected to bring their questions to class, and class time will be spent working through them. In order to succeed, students need to be able to analyze a problem and quickly choose an approach to its solution.

This course develops the student’s understanding of the fundamental concepts of financial mathematics and how those concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows.

This course is the second part of a sequence course. It develops the student’s understanding of the fundamental concepts of financial mathematics and how those concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows. In addition, we also will work on some of the past Financial Mathematics Actuarial Science Exam (FM) problems to help students to prepare for the FM exam.

An introduction to the study of algebraic systems, including groups, rings and fields, homomorphisms and isomorphisms.

The content of special topics courses will vary each time a special topic is offered.

Students conduct an in-depth study of a mathematical topic of interest to them which has been approved by the mathematics faculty. An oral and written presentation will be made of their findings. This is a capstone course and is required of all mathematics majors.

**Prerequisites**

Senior status