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Course Criteria
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4.00 Credits
4 hours; 4 credits A project-based introduction to the essential components of mathematical modeling. Using fully developed case studies and exploratory student projects, the aim is to provide a broad perspective on modeling physical, biological, and societal phenomena using modern mathematical methods. In particular, emphasis will be placed on three prototypical modeling paradigms: dynamical systems, statistical/probabilistic modeling, and optimization. Prerequisite: Deferential equations and linear algebra (MTH 330 or equivalent) or mathematical probability (MTH 311 or equivalent) or permission of the instructor.
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4.00 Credits
(Also PHL 420) 4 hours; 4 credits Postulate systems and their interpretations; sets, groups, rings, and ordered fields; partially ordered sets and lattices; theory of cardinal and ordinal numbers; well-ordered sets and transfinite induction; Boolean rings; mathematical logic. Prerequisite: MTH 339 or 350
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4.00 Credits
4 hours; 4 credits Set theory; topology of the real line, Cauchy sequences, open sets, connected sets, limit points and closed sets, bounded sets, compactness, continuous functions; topological spaces, mappings, subspaces, homomorphisms, metric spaces. Prerequisite: MTH 233 or 236
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4.00 Credits
4 hours; 4 credits Rings, integral domains, fundamental theorems of ring theory, polynomial rings, fields, extension fields, algebraic extensions, introduction to Galois Theory, coding theory, polynomial codes. Prerequisite: MTH 339
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3.00 Credits
3 hours; 3 credits An introduction to ethnomusicology geared to students with no musical training. A study of music as a world phenomenon, with emphasis on its relationship to indigenous societal and cultural values and customs, function, and significance. The course will aid students in understanding how different instruments and sounds are integral to all humanity, and will guide students toward becoming better critical and analytical musical listeners and interpreters. (arts & com.)
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3.00 Credits
3 hours; 3 credits A survey of music in the jazz perspective from Scott Joplin to the present, including the social impact of the music on American and European cultures. (arts & com.)
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3.00 Credits
3 hours; 3 credits A study of the evolution of musical style through representative works from every era of the Western musical tradition. Assigned readings, listening, and concerts. (arts & com.)
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2.00 Credits
2 hours; 1 credit Ensembles from duos to larger groups, such as voice and piano, single instrument and piano, trio, brass ensemble, new music ensemble, and/or other ensemble, that will rehearse and receive coaching on a weekly basis. Groups will be formed based on repertoire available and performance ability, with the goal of public performance. Prerequisites: MUS 120 or MUS 125 and audition and permission of the instructor or full-time Music faculty member
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2.00 Credits
2 hours; 1 credit Ensembles from duos to larger groups, such as voice and piano, single instrument and piano, trio, brass ensemble, new music ensemble, and/or other ensemble, that will rehearse and receive coaching on a weekly basis. Groups will be formed based on repertoire available and performance ability, with the goal of public performance. Prerequisite: MUS 115
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4.00 Credits
4 hours; 3 credits Introduction to music reading and notation; performing of rhythmic exercises; structure of scales, intervals, and triads; musical terms; introduction to the keyboard. (arts & com.)
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