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Course Criteria
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3.00 Credits
Credit 3 hours. Prerequisite: Math 167. This course is designed to introduce and develop the basic concepts of probability and data analysis, and to examine the role of probability in statistical thinking. Topics include probability, data collection and representation, measures of central tendency and variability, the normal curve, standard scores, correlation and regression, and the use of statistics in making predictions and generalizations. A graphing calculator is required for this course. Note: the pedagogical techniques modeled in this course are especially useful for students interested in teaching in the K-8 curriculum.
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3.00 Credits
Credit 3 hours. Prerequisite: Math 223. A study of axiomatic systems, advanced Euclidean geometry, hyperbolic geometry, and geometric transformations.
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3.00 Credits
Credit 3 hours. Prerequisite: Mathematics 200. A survey of the history of mathematics from ancient times. Mathematical topics studied include number bases, Pythagorean triples, figurative numbers, construction of tangent lines to curves, and solutions of cubic and quartic equations.
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3.00 Credits
Credit 3 hours. Prerequisite: Math 201. The third of a standard three-course sequence on calculus. Topics include vectors and geometry of 3-space, vector-valued functions, directional derivatives, and multiple and line integrals. A graphing calculator is required for this course.
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3.00 Credits
Credit 3 hours. Prerequisite: Math 201. An introduction to differential equations with an emphasis on conceptual ideas and the use of computer algebra systems in solving realworld application problems. Solutions of differential equations will be found symbolically, graphically, and numerically. Topics will include linear first order equations, higher order equations, linear systems of equations, nonlinear systems, and chaos in dynamical systems.
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3.00 Credits
Credit 3 hours. Prerequisites: Math 201 and Math 223. An introduction to linear algebra from a conceptual standpoint. Emphasis will be put on working in R2 and R3. Topics will include matrices and systems of equations, determinants, vector spaces, and linear transformations.
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4.00 Credits
Credit 4 hours. Prerequisites: Math 168. An extension of the structure of the rational and real numbers using the role of axiomatic systems; the concepts of exactness and approximation, applications of proportional reasoning; dimensional analysis and scientific notation; simple logic; modular systems; and the use of matrices and spread sheets. This course involves 3 hr lecture and 1 hr field experience per week.
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3.00 Credits
Credit 3 hours. Prerequisites: Math 201 and Math 223. An introduction to abstract algebra concentrating on elementary group theory. Topics will include cyclic groups, abelian groups, symmetric groups, and other groups of low order. Subgroups, centralizers, and homomorphisms will also be discussed.
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3.00 Credits
Credit 3 hours. Prerequisite: Math 163 or Math 200. An introduction to data analysis and the use of computer software packages to organize, summarize, and analyze data. Discussion will include the basic rules of probability, commonly used discrete and continuous distributions, random sampling and sampling distributions, regression analysis, parameter estimation, hypothesis testing, and analysis of variance techniques.
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1.00 - 6.00 Credits
Credit 1-6 hours. Prerequisites: Junior standing, 2.5 adjusted grade point average, and permission of the Department Head. An opportunity for students to apply mathematics in a specific assignment under the direction of a faculty member of the Department of Mathematics. Specific assignments may include, but are not limited to, projects and/or service learning opportunities in business, industry, commercial, governmental or educational agencies. This course may be taken/repeated for a maximum of 6 hours credit. This course cannot be used to satisfy mathematics requirements for any degree program.
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