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MATH 433 /533: Introduction to Differential Geometry
4.00 Credits
University of Oregon
Plane and space curves, Frenet-Serret formula surfaces. Local differential geometry, Gauss-Bonnet formula, introduction to manifolds. Prereq: MATH 281, 341.
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MATH 433 /533 - Introduction to Differential Geometry
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MATH 441 /541: Linear Algebra
4.00 Credits
University of Oregon
Theory of vector spaces over arbitrary fields, theory of a single linear transformation, minimal polynomials, Jordan and rational canonical forms, quadratic forms, quotient spaces. Prereq: MATH 342.
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MATH 441 /541 - Linear Algebra
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MATH 444 /544, 445 /545, 446 /546: Introduction to Abstract Algebra I,II,III
3.00 Credits
University of Oregon
Theory of groups, rings, and fields. Polynomial rings, unique factorization, and Galois theory. Prereq: MATH 342.
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MATH 444 /544, 445 /545, 446 /546 - Introduction to Abstract Algebra I,II,III
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MATH 456 /556: Networks and Combinatorics
4.00 Credits
University of Oregon
Fundamentals of modern combinatorics; graph theory; networks; trees; enumeration, generating functions, recursion, inclusion and exclusion; ordered sets, lattices, Boolean algebras. Prereq: MATH 231 or 346.
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MATH 456 /556 - Networks and Combinatorics
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MATH 457 /557: Discrete Dynamical Systems
4.00 Credits
University of Oregon
Linear and nonlinear first-order dynamical systems; equilibrium, cobwebs, Newton's method. Bifurcation and chaos. Introduction to higher-order systems. Applications to economics, genetics, ecology. Prereq: MATH 256.
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MATH 457 /557 - Discrete Dynamical Systems
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MATH 461 /561, 462 /562: Introduction to Mathematical Methods of Statistics I,II
4.00 Credits
University of Oregon
Discrete and continuous probability models; useful distributions; applications of moment-generating functions; sample theory with applications to tests of hypotheses, point and confidence interval estimates. Prereq: MATH 252.
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MATH 461 /561, 462 /562 - Introduction to Mathematical Methods of Statistics I,II
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MATH 463 /563: Mathematical Methods of Regression Analysis and Analysis of Variance
4.00 Credits
University of Oregon
Multinomial distribution and chi-square tests of fit, simple and multiple linear regression, analysis of variance and covariance, methods of model selection and evaluation, use of statistical software. Prereq: MATH 462/562.
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MATH 463 /563 - Mathematical Methods of Regression Analysis and Analysis of Variance
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MATH 464 /564, 465 /565, 466 /566: Mathematical Statistics I,II,III
3.00 Credits
University of Oregon
Random variables; generating functions and characteristic functions; weak law of large numbers and central limit theorem; point and interval estimation; Neyman-Pearson theory and likelihood tests; sufficiency and exponential families; linear regression and analysis of variance. Pre- or coreq: MATH 282, 342.
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MATH 464 /564, 465 /565, 466 /566 - Mathematical Statistics I,II,III
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MATH 503: Thesis
1.00 - 3.00 Credits
University of Oregon
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MATH 503 - Thesis
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MATH 601: Research:[Topic
1.00 - 3.00 Credits
University of Oregon
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MATH 601 - Research:[Topic
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