Math 403H   Fall 2017   Homework

  Hw 1   Chapter 2
              Practice problems (do not submit):  Ex. 3, 4, 6, 15, 23, 30.
              Submit on Wednesday, 8/30:  Ex. 16, 24, 32.
              In Ex. 16, 24, 32, you may use the statements proven in the practice problems.
              Solutions   pdf

  Hw 2   Chapter 3
              Practice problems (do not submit):  Ex. 2, 5(for ρ), 9, 11, 17, 21.
              Submit on Wednesday, 9/6:  Ex. 5(for σ only),  8(for d2 only),  18,
              Give an example of a metric on R2 that is not induced by any norm. Justify your answer.
              Solutions   pdf

  Hw 3   due 9/13    pdf  
              Solutions   pdf

  Hw 4   Chapter 4
              Practice problems (do not submit):  Ex. 2, 5, 14, 16, 17, 46.
              Submit on Wednesday, 9/20:  Ex. 8, 12, 15, 33, 34.
              Solutions   pdf

  Hw 5   due 9/27    pdf   
              Solutions   pdf

  There is no Hw due 9/4.

  Hw 6   Chapter 6
              Practice problems (do not submit):  Ex. 2, 5, 10, 26
              Submit on Wednesday, 10/11:  Ex. 6, 7, 9, 11, 25(a).
              Solutions   pdf

  Hw 7   Chapter 7
              Practice problems (do not submit):  Ex. 1, 2, 3, 9, 12, 16, 18 (for l1).
              Submit on Wednesday, 10/18:  Ex. 5, 6, 15, 18 (for l), 19.
              In Ex.19,  c0 is the space of sequences that converge to 0.
              Solutions   pdf

  Hw 8   due 10/25    pdf   
              Solutions     pdf

  Hw 9   Chapter 8
              Practice problems (do not submit):  Ex. 20, 31, 46, 47, 50
              Submit on Wednesday, 11/1:  Ex. 12, 29, 36, 48, 54.
              Solutions     pdf

  There is no Hw due 11/8.

  Hw 10   due 11/15    pdf   
                Solutions     pdf

  Hw 11   due 11/29    pdf   
                Solutions     pdf

  Hw 12   due 12/6    pdf
              Solutions     pdf