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Course Criteria
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3.00 Credits
This course deals with the construction of detailed proofs of mathematical theorems within the context of the fertile fields of Number Theory and Topology. P: Math 202; REC: Math 203. Periodicity: Offered spring only 3 units min / 3 units max, Lecture
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3.00 Credits
Matrices and vector space concepts. Systems of linear equations, matrices, determinants, vectors in two-and three-space, vector spaces, linear transformations, eigenvalues, and eigenvectors; positive-definite matrices, normal forms, the principal axis theorem, applications. P: Math 203. Periodicity: Offered fall only 3 units min / 3 units max, Lecture
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3.00 Credits
Matrices and vector space concepts. Systems of linear equations, matrices, determinants, vectors in two-and three-space, vector spaces, linear transformations, eigenvalues, and eigenvectors; positive-definite matrices, normal forms, the principal axis theorem, applications. P: Math 320. Periodicity: Offered spring only 3 units min / 3 units max, Lecture
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4.00 Credits
A course in the basic ideas of classical real analysis. Sets, functions, real numbers, limits, Euclidean space, topology of Euclidean space, continuity and uniform continuity, uniform convergence, and function spaces and their applications. P: Math 209 and 314. Periodicity: Offered fall only 4 units min / 4 units max, Lecture
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4.00 Credits
Differentiable mappings, the inverse and implicit function theorems and related topics, integration on Euclidean space, Fubini's theorem and the change of variables formula, and Fourier Analysis. P: Math 323. Periodicity: Offered spring only 4 units min / 4 units max, Lecture
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3.00 Credits
Groups, rings, and fields as organizing ideas. Basic structure theorems. Applications. P: Math 314 and 320. Periodicity: Offered fall only 3 units min / 3 units max, Lecture
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3.00 Credits
Analytical and numerical optimization techniques; linear, nonlinear, integer, and dynamic programming. Techniques applied to problems of water, forest, air and solid-waste management. P: Math 320 or conc enr. Periodicity: Offered fall even only 3 units min / 3 units max, Lecture
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3.00 Credits
Probability as a mathematical system, with applications; basic probability theory; combinatorial analysis; distribution functions and probability laws; mean and variance of a probability law; expectation related probability laws; random variables. P: Math 209. Periodicity: Offered fall even only 3 units min / 3 units max, Lecture
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3.00 Credits
Sample moments and their distributions; tests of hypotheses; point and interval estimation; regression and linear hypotheses; nonparametric methods; sequential methods. P: Math 320 and 360. Periodicity: Offered spring odd only 3 units min / 3 units max, Lecture
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3.00 Credits
Intuitive and deductive introductions to Euclidean, affine, hyperbolic, spherical, elliptic and projective geometries. P: Math 314. Periodicity: Offered spring only 3 units min / 3 units max, Lecture
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