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Course Criteria
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1.00 Credits
A continuation of MA 421 with emphasis on selected topics in statistics, including sampling distributions, point estimation, interval estimation, hypothesis testing, regression and correlation, analysis of variance, and nonparametric methods. Prerequisite: MA 421.
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1.00 Credits
Topics include binary operations, groups, subgroups, group homomorphisms, factor groups, and a brief introduction to rings and fields. Prerequisite: MA 335.
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1.00 Credits
A continuation of MA 451.Topics include rings, fields, integral domains, ideals, ring homomorphisms, field of quotients, and extension fields. Prerequisite: MA 451.
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1.00 Credits
An introduction to numerical methods of solution and their analysis.Topics include computer arithmetic, propagation of error, systems of linear and non-linear equations, numerical integration, curve fitting, and differential equations. Prerequisites: MA 310 and a computer science course numbered CS 170 or above.
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1.00 Credits
An introduction to the topology of Euclidean space and of surfaces.Topics include continuity, compactness, cell complexes, and the classification of surfaces. Applications include fixed-point theorems, the Jordan curve theorem, and map colorings. Prerequisites: MA 310 and 335.
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1.00 Credits
Complex numbers, analytic functions, Cauchy-Riemann equations, curves and integrals, Cauchy's Theorem and applications,Taylor and Laurent series, analytic continuation, Residue Theorem, harmonic functions, and conformal mappings. Prerequisites: MA 310 and 335.
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1.00 Credits
A rigorous treatment of sequences, limits, continuity, differentiation, infinite series, sequences and series of functions, uniform convergence and its implications for function series. Prerequisites: MA 310 and 335.
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1.00 Credits
A continuation of MA 461.Topics include integrals, derivatives, and functions of several variables. Prerequisites: MA 317 and 461.
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1.00 Credits
Special topics in mathematics beyond the scope of the regularly offered courses, expanding on previous knowledge or introducing new material that requires significant mathematical maturity. Seniors may be required to do a research project and/or give an oral presentation in addition to completing all other assignments. Prerequisite: one 300-level mathematics course and consent. Interim.
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1.00 Credits
Classroom procedures in music, including song materials, recordings, characteristics of elementary school students, scheduling, equipment, and teacher qualifications. Prerequisite: MU 152. Fall, Spring.
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