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Mathematics 6070: Time-Frequency Analysis
3.00 Credits
University of Missouri-St Louis
Prerequisites: MATH 5060. The course covers theoretical and practical aspects of several time-frequency methods. Included are linear transformations such as filtering, Zak, Gabor and wavelet transforms; bilinear transformations include the Winger-Ville distribution and other distributions of Cohen's class. Statistical methods of feature extraction and applications to signal compression are outlined as well.
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Mathematics 6080: Advances in Wavelet Analysis
3.00 Credits
University of Missouri-St Louis
Prerequisite: MATH 5060. The course describes recent developments in several research areas connected with wavelet analysis. Included are frames, wavelet vectors, wavelet packets, wavelets on compact intervals and manifolds, adaptive (nonlinear) methods, and methods of computational physics. Applications include the sparsification of matrices, denoising and compression of signals.
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Mathematics 6080 - Advances in Wavelet Analysis
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Mathematics 6200: Probability Theory
3.00 Credits
University of Missouri-St Louis
Prerequisite: MATH 5100 may be taken concurrently. Combinatorial analysis, random walks, stochastic independence, random variables, laws of large numbers, generating functions, and branching processes.
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Mathematics 6200 - Probability Theory
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Mathematics 6440: Lie Groups
3.00 Credits
University of Missouri-St Louis
Prerequisites: MATH 4400 and 5110. The course provides an introduction to Lie Groups, Lie Algebras, and their representations.
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Mathematics 6440 - Lie Groups
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Mathematics 6600: Topics in Probability Theory
3.00 Credits
University of Missouri-St Louis
Prerequisite: Consent of instructor. The course will cover advanced topics in probability theory and may be taken more than once for credit with the consent of the department.
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Mathematics 6600 - Topics in Probability Theory
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Mathematics 6700: Functional Analysis
3.00 Credits
University of Missouri-St Louis
Prerequisites: MATH 4450 and 5100. Algebraic and topological tools applied to problems in analysis. The topics chosen will usually include topological vector spaces, metric spaces, Banach spaces, Hilbert spaces, and Banach algebras.
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Mathematics 6700 - Functional Analysis
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Mathematics 6900: Master's Thesis
1.00 - 6.00 Credits
University of Missouri-St Louis
Prerequisite: Consent of instructor. Thesis work under the supervision of a faculty member. The course is designed for those students intending to present a thesis as part of their M.A. program. Students who do not write a thesis cannot apply MATH 6900 to a degree.
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Mathematics 6900 - Master's Thesis
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Mathematics 7990: Ph.D.Dissertation Research
1.00 - 9.00 Credits
University of Missouri-St Louis
Prerequisites: Completion of comprehensive exams. May be taken for no more than nine hours.
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Media Studies 1050: Introduction to Media Studies
3.00 Credits
University of Missouri-St Louis
Introduction to print and electronic media studies. Emphasis on history, theory, and criticism of mass media as cultural institutions.
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Media Studies 1050 - Introduction to Media Studies
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Media Studies 1060: Introduction to World Cinema
3.00 Credits
University of Missouri-St Louis
An introduction to the history, rhetoric, and aesthetics of world cinema. International film theory and criticism will be studied as well as major genres, authors, and artists.
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Media Studies 1060 - Introduction to World Cinema
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