MATH 101: Basic Mathematics I,  3 hours 
Development of basic mathematical skills necessary for other mathematics courses.  The number system and its operations, use of percent, problem solving.  For Weekend College students only.  Not for students with prior credit for college-level mathematics.

MATH 102: Basic Mathematics II,  2 hours 
A continuation of Mathematics 101.  Solving equations, problem solving, geometric and graphical properties of functions, systems of equations with applications.  For Weekend College students only.  Not for students with prior credit for college-level mathematics.   Prerequisite: Mathematics 101 or equivalent

MATH 105: Fundamentals of Mathematics, 3 hours 
Study of the real number system and its operations. Problem solving, informal geometry with metric measurement, coordinate geometry, consumer mathematics, statistics and probability, elementary algebra.  Attention is given to NCTM Standards and the Ohio Model Competency-Based Mathematics Program, integrating mathematics with other curricular areas appropriate to students' respective licensure areas, and utilization of appropriate technology.   For elementary education students only.  Prerequisite: Mathematics 162 or equivalent, and permission

MATH 107: Middle School Mathematics: Methods, Materials, and Meaning,  4 hours

Building on the basis of Fundamentals (MATH 105), Mathematical Modeling (MATH 162), and Precalculus (MATH 197), this course examines topics suitable for the middle grades and discusses ways to teach them, ideas for alternative approaches, and appropriate materials (from concrete to abstract).  Topics include rational numbers, percent, probability, statistics, geometry (synthetic, transformational, coordinate), algebra, and triangle trigonometry.  Ideas from Operations Management may be included.  Integrates NCTM Standards and The Ohio Model Competency-Based Mathematics Program.    Prerequisite: Admission to the Teacher Education Program or permission, and Mathematics 105

MATH 108: Statistics, 4 hours 
An introduction to the science of collecting, tabulating, summarizing, and interpreting data. Both descriptive and inferential statistics are studied. Descriptive topics include levels of measurement, measurement of central tendency and dispersion, the normal and binomial distributions, and correlation. Inferential topics include hypothesis testing, interval estimation, regression analysis, and the use of nonparametric methods. This course is especially useful for students in the social or natural sciences.  The TI-83 Plus calculator, the Fathom statistical software, and the Microsoft Excel software are used.  Prerequisite: high school algebra and placement, or Mathematics 162  

MATH 132: Methods of Decision Making, 3 hours 
An introduction to the field of decision theory. Contemporary mathematical thinking is used to seek connections between mathematics and modern society. Topics include applications of graph theory, scheduling, voting and apportionment, game theory, and linear programming. Prerequisite: high school algebra and placement, or Mathematics 162 

MATH 162: Mathematical Modeling in the Liberal Arts, 4 hours 
Motivated by naturally occurring phenomena in areas such as medicine, economics, business, and ecology, students will use data together with linear, quadratic, polynomial, exponential, and logarithmic functions to model relationships within these and other disciplines. Numerical, graphical, verbal, and symbolic modeling methods will each be examined.  Prerequisite: Two years of high school mathematics and placement

MATH 197: Precalculus, 4 hours 
Exponential and logarithmic functions, the trigonometric functions, analytic trigonometry, and topics in analytic geometry. For students who plan to study calculus but need to supplement their prior mathematics courses. Prerequisite: Three years of high school mathematics and placement  

MATH 198: Calculus I, 4 hours 
The differential calculus. Topics include limits, continuity, differentiation of algebraic and transcendental functions, and maxima/minima and other applications of the derivative. The TI-83 Plus calculator and the Maple software are used.  Prerequisite: Mathematics 197 or equivalent 

MATH 199: Calculus II, 4 hours 
A continuation of 198. The integral calculus. Topics include antidifferentiation, the Riemann integral, the Fundamental Theorem of Calculus, applications of the definite integral, techniques of integration, and infinite series. The TI-83 Plus calculator and the Maple software are used.  Prerequisite: Mathematics 198  

MATH 200: Calculus III, 4 hours 
A continuation of 199. Multivariable and vector calculus. Topics include parametrizations, polar coordinates, partial derivatives, directional derivatives, and multiple integrals. The TI-83 Plus calculator and the Maple software are used.  Prerequisite: Mathematics 199

MATH 217: Discrete Mathematics, 3 hours 
An introduction to proofs and mathematical reasoning in the context of discrete mathematical structures. Topics include proof techniques, mathematical logic, set theory, relations, elementary function theory, and the Division Algorithm. Prerequisite: Three years of high school mathematics and placement  

MATH 218: Linear Algebra, 3 hours 
Systems of linear equations, matrix algebra and determinants, vector spaces, eigenvalues, eigenvectors, and linear transformations are studied. Prerequisite: Mathematics 162 or equivalent  

MATH 243: Differential Equations, 3 hours
A study of the theory, solution, and application of differential equations. Existence and uniqueness theorems. Solutions of several types of first-order equations. Solution of homogeneous and non-homogeneous higher-order linear equations; Laplace transform methods. Applications for first and second order equations. Prerequisites: Mathematics 200 and 218

MATH 301: Modern Geometries, 4 hours
Selected topics in Euclidean, non-Euclidean, finite, and projective geometries together with the historical development of these geometries. The Geometer's Sketchpad software is used.  Prerequisite: Mathematics 217

MATH 305: Teaching Secondary Mathematics, 4 hours
Integration of education and mathematics courses as they relate to the secondary mathematics classroom. Learning and developmental theory, curriculum and standards (NCTM), instruction, materials, planning, and assessment. Prerequisites: Mathematics 217 and 218, Education 231, or permission

MATH 308: Mathematical Statistics I, 4 hours
A calculus-based, mathematical approach to the study of probability. Includes basic discrete and continuous probability models, moment-generating functions, multivariate distributions, distributions of random variables and functions of random variables, limiting distributions, the Central Limit Theorem, and approximations for discrete distributions. Statistical software will be used to analyze real data.   Prerequisite: Mathematics 200

MATH 309: Mathematical Statistics II, 3 hours
A continuation of Mathematics 308 focusing on inferential statistics. Includes interval and point estimation, tests of statistical hypotheses, regression analysis, and nonparametric methods.  Prerequisite: Mathematics 308

MATH 330: History of Mathematics, 4 hours
This course examines the historical development of major mathematical concepts, with special emphasis on the period through the invention of the calculus in the late seventeenth century. Selected topics are chosen from the mathematics of the eighteenth, nineteenth, and twentieth centuries. Both European and non-European mathematical developments are explored, with emphasis on the many common ideas present in widely separated cultures. Prerequisite: Mathematics 199 or 217, or permission

MATH 357: Introduction to Chaotic Dynamical Systems, 4 hours
Dynamical Systems is the branch of mathematics that attempts to understand processes in motion.  Very simple systems of equations, even one equation depending on one variable, may behave unpredictably under the process of iteration.  Topics covered include non-linear systems such as the iterated quadratic function, bifurcations, symbolic dynamics, chaos and fractals.   Prerequisite: Mathematics 200

MATH 371: Analysis I, 4 hours
A first course in real analysis. Topics include sequences, limits, continuity, and differentiation. Prerequisites: Mathematics 200 and 217

MATH 372: Analysis II, 3 hours
A continuation of 371. Topics include compactness, Riemann-Stieltjes integration, sequences of functions, and series. Prerequisite: Mathematics 371

MATH 380: Junior Seminar, 1 hour 
The students selects a topic for the Senior Seminar project and begins work on the project.

MATH 381: Topics in Mathematics, 3-4 hours
Various advanced topics, such as topology, complex variables, number theory, combinatorics, graph theory, coding theory, and modeling are offered when need and sufficient interest are demonstrated. Credit hours and prerequisites are established for each offering. May be taken more than once for credit

MATH 390: Operations Research I, 4 hours
Operations Research is a scientific approach to decision-making that involves the operations of organizational systems. In this course the emphasis is on mathematical programming, especially linear programming. Other topics may include network analysis, dynamic programming, and game theory. Prerequisite: Mathematics 218

MATH 391: Operations Research II, 3 hours
A continuation of 390. The emphasis is on probabilistic models including, for example, queuing theory, inventory theory, Markov processes, forecasting theory, and reliability theory. Prerequisites: Mathematics 390 and 308

MATH 461: Abstract Algebra I, 4 hours
A study of basic algebraic structures: Group theory and ring theory.  Prerequisites: Mathematics 217 and 218

MATH 462: Abstract Algebra II, 3 hours
A continuation of 461. Ring theory and field theory.  Prerequisite: Mathematics 461

MATH 480: Senior Seminar, 3 hours 
The student completes the independent study begun during the Junior Seminar and presents the results of the study orally and in writing.