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MTH 573: Functional Analysis
3.00 Credits
University of Dayton
The study of linear metric spaces with emphasis on Banach and Hilbert spaces. The Hahn-Banach theorem, the Banach fixed point theorem, and their consequences. Approximations and other selected advanced topics.
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MTH 573 - Functional Analysis
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MTH 575: Differential Geomtry
3.00 Credits
University of Dayton
Vector and tensor algebra; covariant differentiation. An introduction to the classical theory of curves and surfaces treated by means of vector and tensor analysis.
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MTH 575 - Differential Geomtry
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MTH 582: Vector&Tensor Anly
3.00 Credits
University of Dayton
The differential and integral calculus of scalar and vector fields with emphasis on properties invariant under transformations to curvilinear coordinate systems. An introduction to tensor analysis via Cartesian tensors and then more general tensors. Deriv
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MTH 582 - Vector&Tensor Anly
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MTH 583: Fourier Analysis
3.00 Credits
University of Dayton
Fourier representations of complex-valued functions, rules for finding Fourier transforms, mathematical operators associated with Fourier analysis, fast algorithms, wavelet analysis, selected applications.
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MTH 583 - Fourier Analysis
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MTH 590: Topics In Math
1.00 - 6.00 Credits
University of Dayton
This course, given upon appropriate occasions, deals with specialized material not covered in the regular courses. May be taken more than once as topics change.
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MTH 590 - Topics In Math
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MTH 598: Thesis
3.00 - 6.00 Credits
University of Dayton
Course description is currently unavailable.
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MTH 598 - Thesis
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MUS 111: Theory of Music I
2.00 Credits
University of Dayton
Basic vocabulary and grammar of music: fundamentals (intervals, scales, modes, keys, triads), and counterpoint studies. Assignments are done with computer notation programs, and portions of the course use web-based texts.
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MUS 111 - Theory of Music I
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MUS 112: Theory of Music II
2.00 Credits
University of Dayton
Basic diatonic and chromatic harmonic vocabulary studies, emphasizing both writing and analysis skills. Assignments are done with computer notation programs, and portions of the course use web-based texts. Prerequisite(s): (MUS 111 with a grade of C- or better) or permission of instructor.
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MUS 112 - Theory of Music II
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MUS 113: Aural Skills I
2.00 Credits
University of Dayton
The hearing of musical structure is developed through active listening to representative pieces from music literature. Emphasis on formal relations, musical development and historical styles. Introduction to solfege singing and music transcription.
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MUS 113 - Aural Skills I
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MUS 114: Aural Skills II
2.00 Credits
University of Dayton
Further developing the ability to hear musical structure through transcription of intervals, melody, rhythm and harmonic patterns and short musical compositions of music in representative stylistic categories. Use of solfege singing to represent students' internalization of melodic structure. Prerequisite(s): (MUS 113 with a grade of C- or better) or permission of instructor.
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MUS 114 - Aural Skills II
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