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Course Material

Week 1: Metric Spaces with Examples
Week 2: Convergence of sequences
Week 3: Cauchy’s sequences and examples
Week 4: Completeness of metric space
Week 5: Completeness proofs
Week 6: Banach Spaces: Normed linear Spaces, Banach Spaces
Week 7: Quotient Spaces
Week 8: Mid Term Exam
Week 9: Linear operator and functional on finite dimensional Spaces.
Week 10: Linear functional, Continuous and bounded linear operators,
Week 11: Hilbert Spaces: Inner product Spaces, Hilbert Spaces (definitions and examples)
Week 12: Conjugate spaces
Week 13: Representation of linear functional on Hilbert space
Week 14: Reflexive spaces
Week 15: Revision
Week 16: Revision
Week 17: Presentations
Week 18: Final Term Examination

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