University General Course Catalog 2018-2019 
    
    Jul 02, 2020  
University General Course Catalog 2018-2019 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.

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MATH 742 - Topology

(3 units)
Topological structures, uniform spaces, metric spaces, compact and locally compact spaces, connectivity, function spaces, topological algebra, elementary homological algebra, singular homology theory, cell complexes, homotopy groups.

Units of Lecture: 3
Offered: Every Spring - Odd Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. use long exact sequences to compute homology and cohomology groups of topological spaces.
2. compute homology groups and cohomology groups of a space from the Mayer Vietoris sequence for a decomposition into subspaces.
3. use the Kunneth formula to determine the cohomology of a product space. hmidt algorithm, Thomas algorithm and Newton’s divided difference formula.
4. recall and define terminology including error, condition, number, matrix, norm, machine epsilon, unitary matrix, Haar subspace, order of convergence positive, definite matrix, and stability.
5. write practical computer programs.


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