Each assignment has a reading and a written part. Take reading the text seriously, as it will have a direct impact on your understanding of the subject matter. For the written part, do as many of the suggested problems as you can (preferably all!).
chapter 1: 4 (ii, iv, ix, xiii), 5 (i, vi, vii), 7, 9 (i, iv), 11 (iii, v, viii), 13.
chapter 2: 1 (ii), 2 (i) [there is a geometric picture behind this sum; can you discover it?], 5, 6 (i, iii), 12, 14.
chapter 3: 1, 3, 4, 5, 11 (a,b,c), 12, 13, 23, 25, 27.
chapter 4: 1, 3 (i,iii,iv,vii,viii), 4 (i,ii,iii,viii), 5 (iii,iv), 6, 11, 14, 17 (i,ii,v).
chapter 4, appendix 3: 1, 3 (i,ii,vi), 9 (i).
chapter 5: 1, 2, 3 (ii), 8 (a), 13 (this is sometimes called the "Sandwich Lemma" or "Squeez Theorem", for obvious reasons), 15 (i-iv).
chapter 5: 15 (i-v), 33.
chapter 6: 2 (do it only for problem 4-17 parts (i) and (ii)), 3 (a,c), 4, 13, 14.
chapter 7: 1 (i-iv), 2 (i,ii), 3 (ii), 5, 7, 10, 11.
chapter 8: 1.
chapter 9: 1, 3, 5, 16, 26, 28 (a).
chapter 10: 1 (i-v), 2 (i,ii,x), 4 (i,ii), 5 (i,ii), 6 (i,ii,iii), 7 (a,b), 26.
chapter 11: 1 (ii,vi), 2 (ii,vi), 3 (iv), 10, 19, 28, 31 (a), 35, 44, 50.