#### Prerequisite(s):

MAA 4226 or C.I.

#### Textbook(s):

Conway, *A Course in Functional Analysis*, Springer, 2nd Edition

B. MacCluer, *Elementary Functional Analysis Graduate Test in Math*, Springer, 2009

#### Description:

Normed vector spaces, linear operators, Baire Category theorem, Banach fixed point theorem, Hahn-Banach theorem and applications, open mapping and closed graph theorem with applications, Hilbert space, Gateaux and Frechet derivatives.