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Course Criteria
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3.00 Credits
Basic combinatorial probability, conditional probability, random variables, expectations, special discrete and continuous random variables and their properties, transformation of variables, Central Limit Theorem. Prerequisite: M 240.
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3.00 Credits
Sampling distributions; theory of point and interval estimation; hypothesis testing, significance level, power, Neyman-Pearson Lemma, likelihood ratio tests, chi-square test on categorical data; theory and application of linear models; regression and ANOVA; nonparametric techniques based on ranks. Prerequisite: M 360.
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3.00 Credits
An axiomatic development of Euclidean geometry; attempts to prove the parallel postulate; the discovery of non-Euclidean geometries and their properties. Prerequisite: M 222W.
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3.00 Credits
A study of mathematics education, including issues related to learning theory, mathematics, curricula, pedagogy, assessment, and the role of research and state and national standards on the teaching and learning of school mathematics. Prerequisite: M 222. Note: This course will not count toward the University mathematics requirement or the upper- level course requirement in either a math minor or the other two math majors.
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3.00 Credits
A course in the methods of designing, teaching, assessing, and revising effective lesson and unit plans across the 7-12 mathematics curriculum, including algebra, geometry, number systems, probability/ statistics, and discrete math. (Writingintensive course) Prerequisite: M 380. Note: This course will not count toward the University mathematics requirement or the upper-level course requirement in either a math minor or the other two math majors.
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3.00 Credits
A study of the fundamental algebraic structure of groups, rings, and fields, including substructure, quotient structure, and morphism concepts. Prerequisite: M 222W.
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3.00 Credits
Field of complex numbers, algebraic and geometric representations; analytic functions, the Cauchy-Riemann equations, harmonic functions; integration in the complex plane; power series; Laurent series and singularities of functions; theory of residues and evaluation of integrals. Prerequisite: M 240.
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3.00 Credits
An introduction to point-set topology. Topics are topological spaces, homeomorphisms, connectedness, compactness, separation axioms, and metric spaces. Prerequisites: M 222W and M 340.
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3.00 Credits
Provides an opportunity for the student to study mathematical topics under the direction of a faculty member. Prerequisite: Approval of the department. The signature of the department chairman is required to register for these courses.
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3.00 Credits
Matrix algebra; simultaneous linear equations and numerical methods for their solution, inverses, and determinants. Linear ordinary differential equations, Laplace transform methods, and Green's functions. Eigenvalues and eigenvectors, canonical forms, matrix norms, algebraic variational methods, functions of matrices. Matrix methods for linear systems of ordinary differential equations, including the statetransition matrix. Quadratic forms and positive definite matrices, singular value decomposition. A brief survey of series solutions to ordinary differential equations and special functions. Introduction to nonlinear analysis (if time permits). Prerequisites: Undergraduate calculus and differential equations.
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