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MTH 520: Numerical Analysis I
3.00 Credits
University of Miami
Topics from numerical linear algebra including solving systems of equations, LU, QR, and SVD factorizations, eigenvalues and eigenvectors, interactive methods and applications.
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MTH 520 - Numerical Analysis I
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MTH 521: Numerical Analysis II
3.00 Credits
University of Miami
Numerical solution of ordinary and partial differential equations.
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MTH 521 - Numerical Analysis II
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MTH 524: Introduction to Probability Theory
3.00 Credits
University of Miami
Probability spaces, random variables, expectation, limit theorems.
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MTH 524 - Introduction to Probability Theory
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MTH 525: Introduction to Mathematical Statistics
3.00 Credits
University of Miami
Probability distributions, theory of sampling and hypothesis testing.
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MTH 525 - Introduction to Mathematical Statistics
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MTH 527: Theory of Computing
3.00 Credits
University of Miami
Sets, relations, and languages. Automata theory. Basic computability theory. Turing machines. The complexity classes P and NP.
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MTH 527 - Theory of Computing
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MTH 531: Topology I
3.00 Credits
University of Miami
Set theory, topological spaces, compactness, connectedness, separation properties, quotient spaces, Tychonoff Theorem, compactification, Urysohn Lemma and Tietze Extension Theorem, function spaces.
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MTH 531 - Topology I
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MTH 532: Topology II
3.00 Credits
University of Miami
Differential and topological manifolds, classical groups and associated manifords, tangent and tensor bundles, vector fields, differential forms, transversality, Sard's theorem, Stokes' Theorem.
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MTH 532 - Topology II
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MTH 533: Introduction to Real Analysis I
3.00 Credits
University of Miami
Sequences and series in Euclidean space; sequences and series of functions; Fourier series; continuity, differentiation, and integration of functions between Euclidean spaces; implicit and inverse function theorems.
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MTH 533 - Introduction to Real Analysis I
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MTH 534: Introduction to Real Analysis II
3.00 Credits
University of Miami
Continuation of MTH 533.
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MTH 534 - Introduction to Real Analysis II
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MTH 542: Statistical Analysis
3.00 Credits
University of Miami
Statistical inference about one or two populations from interval, ordinal and categorical data; analysis of variance; simple and multiple linear regression; designing research studies.
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MTH 542 - Statistical Analysis
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