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Course Criteria
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3.00 Credits
Strongly Recommended: MATH 211. This course focuses on existence and uniqueness theorems; first order equations; linear, homogeneous, and non-linear equations; transform methods; numerical methods; and series solutions.
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3.00 Credits
Prerequisite: MATH 104. This course covers the important aspects of Euclidean Geometry including topics involving angles, triangles, parallel and perpendicular lines, circles, polygons, similarity, areas, volumes, as well as various selected topics in mathematics from the recommended Standards of the National Council of Teachers of Mathematics (NCTM) and the PRAXIS II exam. It is also intended to give students further exposure to the art of formal proof writing in a setting where many steps of the proof can be displayed and explained visually.
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3.00 Credits
Strongly recommended: MATH 260. This course provides a study of linear transformations over vector spaces covering vectors, vector spaces, matrices, determinants, systems of linear equations, and linear transformations.
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3.00 Credits
Corequisite: MATH 260 or permission of instructor. This course will introduce students to mathematics from a historical perspective. Course topics will include number theory, algebra, geometry and calculus.
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3.00 Credits
Prerequisite: MATH 104. This course introduces mathematical probability theory using an axiomatic approach and considering numerous applications.
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3.00 Credits
Prerequisite: MATH 211. This course examines properties of complex numbers; elementary functions of a complex variable; complex derivatives and analytic functions; mappings; definite and indefinite integrals; Cauchy's theorem and integral formulas; Taylor and Laurent expansions; singular points and the residue theorem; conformal mapping with applications.
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3.00 Credits
Prerequisite: MATH 260 or consent of instructor. This course deals with the properties of the set of integers. Topics considered include divisibility and division algorithm, congruences, quadratic residues, recurrence functions, diophantine equations, and continued fractions.
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3.00 Credits
Strongly recommended: MATH 211. This course includes vector algebra; vector geometry; vector functions; vector calculus: derivatives, gradient, curl, divergence, and Laplacian operators; line and surface integrals; Stokes' and Gauss' theorems;applications to physics; generalized coordinates; linear vector spaces.
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3.00 Credits
Prerequisite: MATH 104, 311. This course provides a theoretical background and an introduction to statistics by examining the topics of graphical displays and statistical measures, random samples, sampling distributions, expected value, the Central Limit Theorem, properties of the methods to determine point estimates, probability distributions (e.g., normal, t, F, Chi-squared), confidence intervals, hypothesis testing, Type I and II errors, the power of tests, determining sample sizes, correlation, simple and multiple linear regression and analysis of variance.
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3.00 Credits
Prerequisites: CS 131 or programming ability, and consent of the instructor. This course will introduce students to the fine art of problem solving. The focus is on using computers, models, and examples to investigate problems rather than formal rigid processes to uncover a solution. Selected topics will include, but are not limited to, number theory, probability, mathematical modeling, graph theory, fractals, real analysis, and open math problems. This course will fulfill a math elective requirement.
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