Problems for Homework 1 (taken from the lecture notes): 1.2, 1.3, 1.5, 1.6, 1.7, 1.11, 1.12, 1.13, 1.15, 1.19, 1.21, 1.23, 1.24, 1.25, 1.26 Rules: 1) Please work independently without consulting anyone else. 2) Please answer questions rigorously. Avoid imprecise, qualitative statements. 3) Correct answers that do not show clear reasoning are not acceptable. 4) Please make your solutions as concise as you can. The homework is due on Thursday, September 25, 2008.