Mathematics

MA 105 Quantitative Reasoning (3)
This course explores commonly used mathematical topics to develop reasoning skills. An interdisciplinary approach is used with examples from various academic fields. Topics include logical reasoning, introduction to statistical concepts, unit conversion, formulas and linear modeling, and probability. This course meets the general education requirement for mathematics and prepares students to continue in math and statistics.

MA 106 Pre-Calculus Mathematics (4)
Topics in algebra, trigonometry, and functions that are essential for success in calculus. Intended for majors in mathematics, computer science, natural science, and others who will go into the calculus sequence. Credit will apply to the mathematics major. Prerequisite: MA 105 with grade of “C-” or better, or satisfactory result on the placement test.

MA 115 Principles of Geometry (3)
This course is designed to provide an in-depth understanding of the concepts of Euclidean geometry. The content topics include measurement in U.S. and metric units, conversion of units, formulas for perimeter, area, volume and surface area, similar triangles and proportions, transformations of area and volume, classification of geometric objects and shapes, properties of angles, lines and geometric objects, coordinate geometry, congruence, symmetry and constructions. Process skills will include problem solving, conjecturing, reasoning, finding counterexamples, communications, connections and representation. Topics will include but not be restricted to those aligned with the Ohio Academic Content Standards for grades 4 – 9. Prerequisite: MA 106 or permission of the instructor. Offered in alternate years.

MA 201, 202, 203 Analytical Geometry and Calculus I, II, III (4,4,4)
A three-course sequence covering limits, derivatives, antiderivatives and the definite integral, elementary vector analysis, infinite series, related topics in analytic geometry, and selected relationships within mathematics and connect mathematics to scientific applications and to other disciplines in real world situations. Prerequisite: MA 106 or equivalent.
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MA 300 The History of Mathematics (3)
Mathematics as it existed at various stages of history—Babylonian and Egyptian, Greek, Chinese, Hindu, Arabian, and Modern. Significant stages in the development of different branches of mathematics, such as geometry, algebra, and calculus. Ancient problem-solving techniques, as well as contributions from underrepresented groups and from diverse cultures will be explored. Prerequisite: MA 201. Offered in alternate years.

MA 301 Linear Algebra (4)
Vectors and vector spaces, linear transformations, isomorphism, matrix algebra, matrix eigenvectors, and determinants. Prerequisite: one semester of calculus or permission of instructor. Offered in alternate years.

MA 302 Modern Abstract Algebra (4)
A study of algebraic structures, this course includes and introduction to groups, rings, integral domains and fields, examining both concrete examples, and axiomatic structure. Prerequisite: two semesters of calculus or permission of instructor. Offered in alternate years.

MA 304 Modern Geometry (4)
A re-examination of Euclidean geometry and an introduction to new geometries including classical non-Euclidean. Geometry is examined both as an axiomatic system and as a group of transformations. The understanding and application of the process of measurement is included. Prerequisite: calculus or permission of the instructor. Offered in alternate years.
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MA 305 Discrete Mathematical Structures (3)
Topics from graph theory, combinatorics, logic and set theory. Includes making conjectures and an examination of the structure of proofs. Prerequisite: MA 106. Offered in alternate years.

MA 306 Probability and Statistics (4)
An examination of probability both in theory and application, graphical and numerical analysis of data, random variables, probability distributions, estimation, hypothesis testing and linear regression. Emphasis on computer and handheld technology. Prerequisite: one semester calculus. Offered in alternate years.

MA 401 Differential Equations (4)
Methods of solution of ordinary differential equations, numerical computation and estimation techniques extended to algebraic expressions, selected applications, Laplace transforms and power series solutions to equations, fundamental matrix solutions, and series solutions. Prerequisite: MA 203.

MA 405 Operations Research (3)
Mathematical programming and models. Topics will include linear programming, integer programming, network models, game theory, and Markov chains. The main emphasis of the course will be to introduce students to the concepts of building models and applying these to a variety of situations. Students will be expected to build and implement models of their own using computer simulation for solutions. Prerequisite: MA 301 or equivalent. Offered in alternate years.
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MA 410 Topics in Applied Mathematics (3)
Applications of advanced mathematics to include Fourier series and Boundary-value problems, Green’s functions, calculus of variations, Sturm-Liouville eigenvalue problems, and tensor analysis. Prerequisite: MA 203 (MA 401 recommended).

MA 420 Real Analysis
This course is designed as a theoretical sequel to the calculus series. The study of sets, sequences and functions becomes a foundation for advanced study. Topics included are convergence of sequences, continuity and uniform continuity, derivative and integral, and some introductory topology. Offered fall of odd alternate years. Presequisite: MA203

MA 490 Senior Capstone Project (3-4)
A senior project is required of all mathematics majors. Each student will complete an independent project under the supervision of a mathematics faculty member and present the results to the mathematics faculty and students. Seniors engaged in senior projects are expected to attend all presentations. Students investigate using a problem-solving approach to the investigation and demonstrate and understanding of mathematical content using every day mathematical language. They must be able to make and evaluate mathematical conjecture and arguments and validate their own mathematical thinking.
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