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Course Criteria
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3.00 Credits
A first course in probability and statistics covering descriptive statistics, statistical graphs, probability, probability distributions, and sampling, and hypothesis testing. Elements of regression and correlation are potential topics. Statistical tables and the Microsoft Excel software package will be used throughout the course.
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3.00 Credits
A third course in calculus, covering infinite sequences, series, curves, surfaces in spaces, vectors, functions of several variables, and multiple integrals. Arc length, curvature, partial derivatives, Lagrange multipliers, and the introduction to differential equations are also potential topics.
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3.00 Credits
A standard course in linear algebra covering linear systems and their solutions, matrices, determinants, vector spaces, linear transformations, quadratic forms, rank, eigenvalues, and eigenvectors.
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3.00 Credits
Topics covered are first-order differential equations, linear first-order equations, exact equations, second- and higher- order differential linear equations, first-order linear systems of differential equations, and Laplace transforms.
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3.00 Credits
Topics will include propositional logic, predicates and proofs, set theory, mathematical induction, number theory, relations and functions.
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3.00 Credits
A first course in discrete mathematics intended to present both theory and applications from areas such as networking and computer science. Topics will include sets, relations, mathematical induction, graphs, trees, matchings, network flows, combinatorics, and recurrence relations.
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3.00 Credits
In this course, students will develop a deeper understanding and appreciation of the underlying theory of numbers, sets, and calculus. Formal proofs will be introduced and emphasized. Topics include sets and functions, mathematical induction, structure of numbers, the completeness axiom, countability, sequences, convergence, the Bolzano-Weierstrass Theorem, Cauchy sequences, continuity, limits, differentiation, mean value theorem, and Riemann integration.
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3.00 Credits
This course involves a formal study of the concepts of geometry, the development of Euclidean geometry, and an introduction to non-Euclidean geometries.
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3.00 Credits
This course is designed to introduce students to basic algebraic structures. Topics include sets, the integers and their properties, groups, rings, integral domains, and fields.
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3.00 Credits
Possible areas of study are numerical analysis, the history of mathematics, advanced probability, techniques in mathematical problem solving, number theory, interest theory, actuarial exam preparation, and regression analysis. There are other topics that will be considered depending on student need and interest.
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