MATH 442 - Algebraic Topology

An introduction to algebraic topology, concentrating on homology of topological spaces as a coarse, yet highly computable algebraic invariant. Topics include singular and simplicial homology, homological algebra, and cohomology.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): MATH 332 and MATH 342
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):

Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.