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Course Criteria
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1.00 - 3.00 Credits
{VOID}
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1.00 - 3.00 Credits
{VOID}
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1.00 - 3.00 Credits
{VOID}
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1.00 - 3.00 Credits
Topics include Advanced Topics in Geometry, Ring Theory, Teaching Mathematics.
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3.00 Credits
Measure and integration theory, differentiation, and functional analysis with point-set topology as needed. Sequence
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4.00 - 5.00 Credits
The theory of Cauchy, power series, contour integration, entire functions, and related topics. Not offered 2009-10.
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3.00 Credits
Development of homotopy, homology, and cohomology with point-set topology as needed. Sequence
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3.00 Credits
Topics include curvature and torsion, Serret-Frenet formulas, theory of surfaces, differentiable manifolds, tensors, forms and integration. Offered alternate years; not offered 2009-1
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3.00 Credits
Group theory, fields, Galois theory, algebraic numbers, matrices, rings, algebras. Sequence
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3.00 Credits
Measure and integration, probability spaces, laws of large numbers, central-limit theory, conditioning, martingales, random walks. Offered 2009-10 and alternate year
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