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Course Criteria
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3.00 Credits
3 credit hours Prerequisite: 2 years high school algebra recommended. This course is designed for students in business, management, and the social and life sciences. Topics covered include: Functions, Limits, and the Derivative; Differentiation and Applications of the Derivative; Exponential and Logarithmic Functions; and Integration with Applications of the Definite Integral.
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5.00 Credits
5 credit hours Prerequisite: MTH 150 or four years of high school mathematics. This course covers the fundamental elements of differential and integral calculus applied to functions of a single variable. A firm understanding of the concepts of calculus is emphasized to enhance the students' capability to frame real-life situations in mathematical language, to employ diverse problem- solving techniques, and to view mathematics as an enriching, intellectual discipline. Current technology is utilized to investigate a wide range of applications and to show the utility of calculus in engineering, and physical and social sciences, and in upper level mathematics.
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3.00 Credits
3 credit hours See course description under Mathematics.
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5.00 Credits
5 credit hours See course description under Mathematics/Computer Science.
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3.00 Credits
3 credit hours Prerequisite: MTH 220 and CSC 160. Corequisite: MTH 250. This critical thinking "C" course introduces the student to the theory and application ofnumerical approximation methods. It requires the use of both critical thinking skills and computer technology to solve a variety of problems, including numerical integration and differentiation, nonlinear equations, systems of linear equations, and function approximation. Working individually or in groups, students complete projects which require them to 1) formulate a problem, 2) determine what information is needed to solve the problem and how that information may be attained, 3) be aware of the assumptions that need to be made to make the solution to the given problem tractable, 4) select the most appropriate of several available algorithms for the given project, and 5) use the selected algorithm to answer pertinent questions and to draw valid conclusions.
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3.00 Credits
3 credit hours Prerequisite: Solid algebra background. This course introduces the student to basic properties of integers, linear Diophantine equations, congruences, number theoretic functions, number representation, Pythagorean triples, and applications in probability and cryptosystems. This course counts toward the mathematics major or minor.
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4.00 Credits
4 credit hours Prerequisite: MTH 250. This course is an introduction to the theories and techniques used in the practice of statistics. Students will learn about probability theory, random variables, sampling, parameter estimation, descriptive statistics, non-parametric statistics, linear regression and hypothesis testing. It serves as a "W" course for the mathematics concentration of the mathematics/computer sciencemajor. Writing assignments will include lab reports and a research paper about a statistical topic.
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4.00 Credits
4 credit hours Prerequisite: MTH 250. An introduction to linear algebra, including systems of linear equations, matrix algebra, determinants, vector spaces, linear transformations, and associated areas of application.
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4.00 Credits
4 credit hours Prerequisite: MTH 250. An introduction to the calculus of functions of several variables. Derivatives, partial derivatives, directional derivatives, multiple integrals in n-space, and vector calculus are some of the topics covered.
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3.00 Credits
3 credit hours Prerequisite: Upper class standing. A survey of modern geometries. Possible topics include: a rigorous treatment of Euclidean geometry, hyperbolic and projective geometries, and finite geometries, geometric transformations, areas and curvature.
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