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MTH641 : Functional Analysis

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Course Info
Course Category	Mathematics
Course Level	Undergraduate
Credit Hours	3
Pre-requisites	N/A
Instructor	Dr. Sarfraz Ahmad Post Doctorate Combinatorics & Commutative Algebra Philipps-Universität Marburg, Germany

Course Contents
Metric Spaces Topological Spaces Separable Spaces Convergence in Metric Spaces Cauchy Sequences Complete Metric Spaces Vector Spaces Continuity in Metric Spaces Normed Spaces Banach Spaces Convergence in Normed Spaces Linear Operators Algebraic Dual space and Canonical mapping Dual Basis Hilbert Spaces The Gram-Schmidt Orthogonalization process Unitary operator