Homework 13. Problem 16.1 (31 March).

Homework 12. Due Monday 31 March. Problem 15.6 (26 March).

Homework 11. Due Friday 28 March. Problem 15.3 (24 March).

Homework 10. Due Wednesday 26 March. Problem 15.2 (21 March).

Homework 9. Due Monday 24 March. Exercises 15.1 and 15.8 (19 March).

Homework 8. Due Wednesday 26 February. Problem 12.10 (21 February).

Homework 7. Due Monday 24 February. Problem 12.7 (19 February).

Homework 6. Due Friday 21 February. Problem 12.2 (17 February).

Homework 5. Due Monday 3 February. Problem 11.5 (29 January).

Homework 4. Due Monday 27 January. Problem 10.4 (22 January).

Homework 3. Due Wednesday 22 January. Problem 10.1 (13 January). Feel free to use Corollary 10.12, even though, it was not yet covered when the problem was assigned.

Homework 2. Due Friday 17 January. Do either Problem 9.2 or 9.4. (10 January)

Homework 1. Due Friday 10 January. Suppose \( f:[0,1]\to \mathbb R \) is continuous. Define \( f_n:[0,1]\to \mathbb R \) by \( f_n(t)=t^n f(t).\) Show if \( f(1)=0, \) then \( (f_n) \) converges uniformly to \( 0\); and conversely, if \( f(1)\ne 0 \), then \( (f_n) \) does not converge uniformly. (6 January)