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MATH 550. Differentiable Manifolds II. 4 hours.

Vector bundles and classifying spaces, lie groups and lie algbras, tensors, Hodge theory, Poincare duality. Topics from elliptic operators, Morse theory, cobordism theory, deRahm theory, characteristic classes. Course Information: Prerequisite(s): MATH 549.

Engineering (Professional Program: MEng)

Graduate Catalog

http://catalog.uic.edu/gcat/colleges-schools/engineering/meng/

...to MATH 180 , MATH 181 , and MATH 210...to August 2018) of 550; IELTS of 6...