# Mathematics

Course descriptions are listed alphabetically by subject prefix. Each course description begins with a three letter subject prefix followed by a three – digit course number and the course title. The number on the right of each course description gives the semester credit hours for that course. If a course includes laboratory or other special activities, that information is contained in the course description. Prerequisites are also listed. A prerequisite is a course, experience, or other required preparation that must be completed before the student is permitted to enroll in the course.

Subject Prefix and Course Number | Course Name | Semester Credit Hours | Course Description | Cross Listed Course | Prerequisite(s) |
---|---|---|---|---|---|

MAT 111 | Contemporary Mathematics | 3 | This course develops problem solving and mathematical skills through a sequence of applied topics. Topics include mathematical finance, probability and statistics, growth models for a variety of situations, and geometry. | Not Applicable | MAT 096 with grade of "C" or higher, or placement based on scores on ACT, SAT, or mathematics placement test. |

MAT 115 | College Algebra | 3 | This course develops the algebraic skills necessary for further studies in mathematics. Topics include the algebra of functions; graphing techniques; quantitative and qualitative analysis of polynomial, rational, exponential and logarithmic functions, including limits at infinity and infinite limits; and appropriate applications. | Not Applicable | MAT 097 with grade of C or higher or appropriate scores on ACT, SAT, or placement test. |

MAT 120 | Precalculus | 4 | Review of polynomial, rational, exponential, and logarithmic functions, their graphs, and inverses; trigonometric identities, functions and their inverses; complex numbers; vectors; linear systems of equations, and polar coordinates. | Not Applicable | MAT 115 with grade of "C" or higher or appropriate scores on ACT, SAT, or placement test. |

MAT 125 | Business Calculus and Matrices | 3 | This course covers matrices, Gauss-Jordan reductions, systems of linear equations, and an introduction to differential and integral calculus. A variety of business applications are included. | Not Applicable | MAT 115 or appropriate scores on ACT, SAT, or placement test. |

MAT 131 | Calculus and Analytic Geometry I | 5 | Review of functions; limits of functions; derivatives and definite integrals of algebraic and transcendental functions; indeterminate forms; applications of the derivative and integral; the fundamental theorem of calculus. | Not Applicable | MAT 120 or appropriate scores on ACT, SAT, or placement test. |

MAT 132 | Calculus and Analytic Geometry II | 5 | Review of the fundamental theorem of calculus; properties of definite and indefinite integrals; applications of the definite integral; techniques of integration; improper integrals; definite integral approximation with error bounds; infinite sequences and series; Taylor polynomial approximation; parametric equations and polar coordinates. | Not Applicable | MAT 131 |

MAT 176 | Accelerated College Algebra | 4 | This course is designed to be an efficient combination of monomials, polynomials rational and radical expressions; solving equations and inequalities, including linear, rational, quadratic, absolute value, exponential and logarithmic; developing problem solving techniques; an introduction to functions, variation, the algebra of functions and their graphs; study of properties and graphs of polynomial and rational functions, as well as exponential and logarithmic functions; techniques in graphing functions, including use of a graphing calculator and regression analysis; reading/interpreting graphs of functions and applications. | Not Applicable | An ACT math subscore of 19 (or better), or an SAT math subscore of 460 (or better), or a grade of C or better in MAT 096 or a KYOTE College Readiness placement score of 22 (or better) |

MAT 203 | Mathematics for Elementary Teachers I | 4 | This is the first course in a two-semester sequence designed to meet the needs of elementary school teachers. Topics include sets, whole numbers, numeration systems, bases, elementary number theory, fractions, decimals, real numbers. Problem solving, applications and historical topics are discussed throughout the course. | Not Applicable | completion of mathematics liberal studies requirement. |

MAT 204 | Mathematics for Elementary Teachers II | 4 | Continuation of MAT 203. Topics include ratio and proportion, probability, statistics, geometry, and measurement. | Not Applicable | MAT 203 |

MAT 231 | Multivariate Calculus | 3 | Calculus of vector-valued functions, partial differentiation, multiple integrals, curl, surface integrals and Stokes’ theorem. Plane curves, polar coordinates, vectors, and three-dimensional analytic geometry. | Not Applicable | MAT 132 |

MAT 232 | Differential Equations | 3 | The study of first-order equations, linear equations, the Laplace transform, Picard’s existence theorems, and systems of equations. | Not Applicable | MAT 132 |

MAT 300 | Introduction to Advanced Mathematics | 3 | This course provides an orientation to higher mathematics. Topics include logic, mathematical proof, set theory, relations and functions, and an introduction to mathematical axiom systems. | Not Applicable | MAT 132 or consent of instructor |

MAT 304 | Perspective on Mathematics | 3 | Survey of history, cultural ramifications, methods, connections among various branches, and opportunities of mathematics. Required of all mathematics and applied mathematics majors | Not Applicable | MAT 131 |

MAT 307 | Linear Algebra | 3 | Coordinates, vectors, vector spaces, subspaces, Euclidean n-space, determinants, linear transformations, linear transformations and matrices, bi-linear and quadratic forms are studied. | Not Applicable | MAT 132 or consent of instructor |

MAT 312 | Mathematical Programming | 3 | This course is an introduction to modern operations research. Modeling, theory, and applications of linear programming, integer programming, scheduling, inventory, and network problems are studied. | Not Applicable | MAT 125 or MAT 307 |

MAT 315 | Numerical Analysis | 3 | Techniques of numerical approximation in analysis and algebra. | Not Applicable | MAT 231 |

MAT 321 | Probability and Statistics I | 3 | Measures of central tendency and dispersion, basic probability theory, Bayes Theorem, discrete and continuous univariate probability distributions, moments, random variables, sampling theory, estimation, hypothesis testing. | Not Applicable | MAT 132 |

MAT 322 | Probability and Statistics II | 3 | Multivariate distributions, joint and conditional distributions, moments, variance and covariance, functions of several random variables, correlation and regression, chi-square tests, analysis of variance. | Not Applicable | MAT 321 |

MAT 326 | Modern Geometry | 3 | This course includes study of axiom systems; Euclidean and Non-Euclidean Geometries; affine, spherical, projective and vector geometries. | Not Applicable | MAT 300 |

MAT 333 | Complex Variables | 3 | This course is focused on the techniques and applications of the complex number system. Topics include Euler formula, analytic functions and the method of residues. | Not Applicable | MAT 231 or consent of instructor |

MAT 399 | Undergraduate Teaching Experience | 1 | An investigative approach to both the figurative and abstract levels. Personal visual expressions are encouraged. | PHY 399, BIO 399, CHE 399, COS 399 | Consent of instructor |

MAT 401 | Modern Algebra I | 3 | Operations, permutations, groups, isomorphisms, factor groups, Sylow’s theorems, and applications are discussed. | Not Applicable | MAT 300 |

MAT 402 | Modern Algebra II | 3 | Continuation of MAT 401. Rings, integral domains, quotient rings and ideals, extension fields, and vector spaces are studied. | Not Applicable | MAT 401 |

MAT 403 | Real Analysis I | 3 | Real numbers and Euclidean n-space, continuous functions, differentiable functions of one and several variables, and the Riemann integral are studied. | Not Applicable | MAT 231 and MAT 300 |

MAT 404 | Real Analysis II | 3 | Classical Lebesque integral, power series, curves, surfaces, integral theorem, divergence, and theorems of Green and Stokes are discussed. Some applications are examined. | Not Applicable | MAT 403 |

MAT 411 | Topology | 3 | Topological spaces, metric spaces, separation axioms, connectedness, compactness, continuity, product and quotient spaces. | Not Applicable | MAT 300 |

MAT 415 | Elementary Dynamical Systems | 3 | Time evolution of various physical and/or biological systems and asymptotic behavior of orbits in space are studied with various mathematical techniques. | Not Applicable | MAT 232 |

MAT 460 | Mathematics Seminar | 3 | An integrated overview of the mathematics curriculum. Each student will be required to prepare and present independent investigation of topics of personal/ professional interest. May be repeated once for credit. | Not Applicable | Senior standing in mathematics |

MAT 470 | Mathematical Modeling | 3 | This course is designed to provide a student with broad exposure to mathematical models and techniques to find solutions to governmental, industrial, and management problems. Optimization technique, probability and stochastic processes, physical and biological applications, hierarchies and priorities, computer-aided modeling and problem solving will be covered. | Not Applicable | Consent of instructor |

MAT 495 | Topics in Mathematics | 1 | This course requires intensive examination of a mathematical topic chosen by a faculty member in Mathematics. This course will involve intensive reading, presentation, and discussion, as well as writing. May be repeated for credit. | Not Applicable | Consent of instructor |