### 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