Lecture contents
  1. Lecture 1: 3 February. Metric, normed and Banach spaces. Completion. Notes to p16. I stopped at the point when I had defined the norm of a linear operator between normed spaces but did not prove that its finiteness is equivalent to contnuity.
  2. Lecture 2: 5 February. The norm on the space of continuous linear maps between two normed spaces. Completeness when the range space is complete. Dual space of a normed space (and oblique mention of Hahn-Banach). The Banach space of once continuously differentiable functions on a closed interval. Notes p16-18,
  3. Lecture 3: 10 February.
  4. Lecture 4: 12 February.
  5. Lecture 5: 19 February.
  6. Lecture 6: 24 February.
  7. Lecture 7: 26 February.
  8. Lecture 8: 3 March.
  9. Lecture 9: 5 March.
  10. Lecture 10: 10 March.
  11. Lecture 11: 12 March.
  12. Lecture 12: 17 March.
  13. Lecture 13: 19 March.
  14. Lecture 14: 31 March
  15. Lecture 15: 2 April.
  16. Lecture 16: 7 April.
  17. Lecture 17: 9 April.
  18. Lecture 18: 14 April.
  19. Lecture 19: 16 April.
  20. Lecture 20: 23 April.
  21. Lecture 21: 28 April.
  22. Lecture 22: 30 April.
  23. Lecture 23: 5 May.
  24. Lecture 24: 7 May.
  25. Lecture 25: 12 May.
  26. Lecture 26: 14 May.