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MATH 315: Elementary Analysis
4.00 Credits
University of Oregon
Rigorous treatment of certain topics introduced in calculus including continuity, differentiation and integration, power series, sequences and series, uniform convergence and continuity. Prereq: MATH 253 or equivalent.
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MATH 315 - Elementary Analysis
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MATH 341 ,342: Elementary Linear Algebra
4.00 Credits
University of Oregon
Vector and matrix algebra; n-dimensional vector spaces; systems of linear equations; linear independence and dimension; linear transformations; rank and nullity; determinants; eigenvalues; inner product spaces; theory of a single linear transformation. Prereq: MATH 252. MATH 253 is recommended.
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MATH 341 ,342 - Elementary Linear Algebra
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MATH 346: Number Theory
4.00 Credits
University of Oregon
Topics include congruences, Chinese remainder theorem, Gaussian reciprocity, basic properties of prime numbers. Prereq: MATH 253.
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MATH 346 - Number Theory
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MATH 351 ,352: Elementary Numerical Analysis I,II
4.00 Credits
University of Oregon
Basic techniques of numerical analysis and their use on computers. Topics include root approximation, linear systems, interpolation, integration, and differential equations. Prereq: MATH 253. CIS 210 recommended.
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MATH 351 ,352 - Elementary Numerical Analysis I,II
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MATH 391 ,392, 393: Fundamentals of Abstract Algebra I,II,III
3.00 Credits
University of Oregon
Introduction to algebraic structures including groups, rings, fields, and polynomial rings. Prereq: MATH 341.
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MATH 391 ,392, 393 - Fundamentals of Abstract Algebra I,II,III
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MATH 394: Geometries from an Advanced Viewpoint I
4.00 Credits
University of Oregon
Topics in Euclidean geometry in two and three dimensions including constructions. Emphasizes investigations, proofs, and challenging problems. Prereq: one year of high school geometry, one year of calculus. For prospective secondary and middle school teachers.
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MATH 394 - Geometries from an Advanced Viewpoint I
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MATH 395: Geometries from an Advanced Viewpoint II
4.00 Credits
University of Oregon
Analysis of problems in Euclidean geometry using coordinates, vectors, and the synthetic approach. Transformations in the plane and space and their groups. Introduction to non-Euclidean geometries. Prereq: grade of C- or better in MATH 394. For prospective secondary teachers.
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MATH 395 - Geometries from an Advanced Viewpoint II
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MATH 399: Special Studies:[Topic
1.00 - 3.00 Credits
University of Oregon
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MATH 399 - Special Studies:[Topic
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MATH 401: Research:[Topic
1.00 - 3.00 Credits
University of Oregon
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MATH 401 - Research:[Topic
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MATH 403: Thesis
1.00 - 3.00 Credits
University of Oregon
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MATH 403 - Thesis
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