Math 31 Homework #2 The things taught in colleges are not an education, but the means of education. Ralph Waldo Emerson

	Reading Read what we will cover in the next class: Chapters 2, 3 When reading Chapter 2 pay special attention to the following concepts: Example 11 and U(n), Theorems 2.1, 2.2, 2.3. When reading Chapter 3 pay special attention to the following concepts: order of group, order of element, subgroup and the various adjectives including: proper, trivial, nontrivial, and Theorem 3.2.

	Problems The following problems are due by the beginning of class on Friday 1/8. Prove Theorem 0.3.2 and Theorem 0.3.3 on page 20. Why is f : Z -> Z defined by f(x) = x2 not 1-1 and not onto? Ch 2 : 1, 2, 8, 15, 17, 25, 30, 31. For 8 and 15, just do the problem for n = 3. Also, provide details on the problems where you are shuffling symbols around; in particular, what parentheses go where and which property of groups you are using to go from one line to the next.