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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 the definition, properties, and applications of definite integrals, properties, derivatives, and integrals of exponential, logarithmic, trigonometric, inverse trigonometric, and hyperbolic functions with applications; techniques of integration; indeterminate forms and improper integrals; sequences, series, and convergence tests; differentiation and integration of power series; and polar integrals. A graphing calculator and use of a Computer Algebra System are required for this course.
  • 1.00 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. The student meets with the advisor frequently to discuss the topic studied. 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 MATH 290, 390, and MATH 490.
  • 3.00 Credits

    This course is an introduction to mathematical computing and typesetting. Topics will include the syntax and programming interface of a computer algebra system that is commonly used in mathematics, methods to solve mathematical problems, and document preparation in the typesetting language LaTeX. The computer algebra system will be used to solve problems drawn from algebra, calculus, differential equations, probability, statistics, discrete mathematics, and modeling. Problems may involve root-finding, solving equations, splines, graphics, power series, numerical integration, numerical approximations of solutions of differential equations, mathematical modeling, data analysis and curve fitting, cryptography, graph theory, number theoretic computations, and possibly others depending on the interests of the students and instructor. Results from the projects will be typeset in LaTeX.
  • 3.00 Credits

    This course explores the development of mathematics over a period of four millennia--from the time of ancient civilizations to the present. It studies how diverse cultures from almost all parts of the world-Babylonia and Egypt, Greece, China, India, The Middle East, Europe and later the Americas, have contributed to the growth of the discipline of mathematics. This course addresses mathematical methods that were used and contributions that were made by specific mathematicians and cultures. The diverse perspectives at different periods of history that contributed to, and at times hindered, the growth of mathematics are studied.
  • 3.00 Credits

    This course is designed to prepare the student for the study of advanced mathematics. Topics include fundamentals of logic, proof strategies, the algebra of sets; relations, including equivalence relations; functions and their properties; countable sets and counting techniques; ordered and well-ordered sets. This course should be taken only after the student has taken at least two college-level mathematics courses.
  • 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.
  • 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.
  • 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.
  • 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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