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Course Criteria
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4.00 Credits
4 credits. Special topic (offered irregularly) Topics are selected from: (a) group theory: groups, subgroups, symmetric group, dihedral group, cyclic groups, Zn, cosets, homomorphism and isomorphism, applications; (b) point-set topology: open and closed sets, limit points, Cauchy sequences, Bolzano- Weierstrass theorem; (c) analysis: axiom of continuity, least upper bounds, nested intervals, uniform continuity, Heine-Borel theorem, theory of integration, series, uniform convergence. Prerequisite: MAT 3150
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4.00 Credits
4 credits. Special topic (offe red irregularly) Topics include: graphs; subgraphs; cographs; paths; cycles; connectivity; eulerian and hamiltonian graphs; adjacency matrices; trees; planarity; chromatic number; eccentricities; extremal graph theory; product graphs; digraphs. Includes applications and a research project. Prerequisite: MAT 3170 or permission of instructor
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1.00 Credits
1 credit. Fall Explores advanced topics in selected areas of mathematics. Includes required oral presentation by students. Grading is on a pass/no credit basis. Required for seniors majoring in mathematics/computer science.
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1.00 Credits
1 credit. Spring Explores advanced topics in selected areas of mathematics. Oral presentation by students required. Grading is on a pass/no credit basis. Required for seniors majoring in mathematics/computer science.
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8.00 Credits
8 credits. Every year Two-semester independent study (8 credits total) leading to a baccalaureate thesis. The project and thesis may take one of several forms. Research may be carried out in a faculty member’s area of interest and expertise. Library work may be done on a topic in mathematics or computer science, or on the history or philosophy of mathematics. A computer project may be written. Internships at companies that use a student’s mathematical abilities or computer knowledge are also possible.
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3.00 Credits
See the Composition section (Conserv a t o ryof Music) for description.
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3.00 Credits
and 2025 3 credits ( per semester). I: Fall; II: Spring Examines the various aspects of jazz harmony and improvisation. Topics include: the cycle of fifths; secondary and substitute dominants; key of the moment; cadences, modal interchange, and melodic embellishment; and an in-depth study of improvisational devices, linking scales, advanced reharmonization, and tertian relationships. Limited to jazz studies majors.
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2.00 Credits
2 credits. Every semester Small group discussion and presentations of works in all styles. This course is specifically designed to provide an opportunity for jazz, composition, and studio composition students to enter into dialogue with each other and with faculty on aesthetic and technical compositional issues.
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2.00 Credits
2 credits. Fall Introductory study of computer-assisted MIDI composition. Basic sound synthesis: digital oscillators, multi-timbral synthesizers. Quantization, event lists, graphic displays, controllers, and data selection and manipulation. Completion of several simple compositions. Open to nonmajors. Prerequisite: One year as a music major or permission of instructor
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2.00 Credits
2 credits. Spring More sophisticated use of software: timbral doubling; transposition; software synthesis; sequence capture; synchronization, abstraction, and random procedures. Prerequisite: MCO 2310 or permission of instructor
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