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Course Criteria
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3.00 Credits
This course is designed for students who have, in addition to an interest in geometry, some previous experience in this subject area, either on the high school or college level. Topics include Euclidean geometry using Hilbert's axioms; neutral geometry; the historical development of non-Euclidean geometries; and hyperbolic geometry.
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3.00 Credits
This course presents the fundamental knowledge of linear regression analysis with real world applications. The course will include simple linear regression, multiple linear regression, one-way ANOVA, two-way ANOVA, simple logistics regression, multiple logistic regression, and time-series. It will also include additional topics from each category including, but not limited to, variable selection, model comparison, generalized linear model, and experimental design. Statistical packages will be used for data analysis.
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3.00 Credits
This course gives the student an opportunity to make an in-depth investigation of a specialized area of mathematics which has wide-spread practical applications in the arts and sciences but still allows work with abstract concepts. Topics include a study of the properties of vector spaces; matrix theory with applications using systems of equations and determinants; linear transformations and invariants under such mappings. Students will be required to use appropriate computer software.
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3.00 Credits
This course focuses on enhancing students' abilities in problem solving in statistics with a concentration on applications to biology. The course is a calculus-based course in biostatistics emphasizing methods for collecting, graphing, examining, and interpreting data. The course provides both the theoretical framework and the analytical tools for performing data analysis. Special emphasis will be placed upon using available statistical methods for both exploratory and confirmatory data analysis. Topics include discrete and continuous random variables, mean and variance, hypothesis testing and confidence limits, nonparametric methods, Student's t-test, analysis of variance, correlation, and ordinary least squares. It may include a subset of further topics which may include, but not be limited to, contingency table analysis, random effects models, mixed models, regression, sensitivity and specificity.
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1.00 - 6.00 Credits
The internship consists of 6 to 12 weeks of full-time employment that provides students with a supervised industrial experience in mathematics. The internship is supervised by a member of the Mathematics and Computer Science Department. This internship is available only to Mathematics majors, and is taken on a pass/fail basis. (3 - 6 s.h.)
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4.00 Credits
This course is one of a series intended for students who major in mathematics, the sciences, or engineering. The topics include vectors in two and three dimensions; operations on vectors; limits, derivatives and integrals of vector functions; three-dimensional surfaces; the definition, properties, and partial differentiation of functions in more than on variable with applications; finding the extrema of functions in two variables; Lagrange multipliers; multipliers; multiple integrals in various coordinate systems; Jacobians; line integrals in vector fields; and the application of Green's Theorem, The Divergence Theorem, and Stokes' Theorem. A graphing calculator and use of a Computer Algebra System are required for this course.
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1.00 - 2.00 Credits
This course involves individual independent study in mathematics under the direction of a mathematics faculty member. This study can be carried out in any area of mathematics or its application that is not a topic covered in depth in any regular mathematics course offering at the University. The student works with a faculty tutor who advises the student in choice of material. This course may be repeated for a total of up to 2 credits cumulative and for a total of up to 6 credits cumulative combined with credits from MAT 190, 390, and 490.
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3.00 Credits
The topics include a review of the real number system, linear equations and applications, linear inequalities and absolute value, graphs and functions, exponents, polynomial functions, factoring, rational functions, root functions, exponential and logarithmic functions. Students who have previously received credit for a higher-numbered mathematics course may not receive credit for this course without permission of the instructor. This course does not fulfill the mathematics requirement in general education but may be used as a free elective.
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3.00 Credits
This course focuses on enhancing students' abilities in problem solving in mathematics and presenting their ideas effectively through writing down logical proofs in a precise and concise manner. This course will discuss problems coming from a broad range of topics, including but not limited to, precalculus, calculus, analysis, and linear algebra. This course is designed for students with a strong desire to solve challenging mathematical problems.
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