Week 1: Metric Spaces with Examples
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
- Chapters 18
- Department Mathematics
- Teacher
Dr. Muhammad Yaseen
