MAT 300 HOMEWORK

In all homework problems, an answer by itself is not acceptable.
Always show enough work to demonstrate how you came to the answer.

Assignment
Num.  Read         Due   Problems

1    1.1,1.2       8/29  p. 19:  3, 4, 5, 8
                         Problem A.pdf
                         p. 26:  3cde

2    0.1,1.3,1.4   9/5   p. 31:  1fhjklm, 2ac
                         p. 36:  1cd, 2fgjklnoqr

3    2.1,2.2       9/12  p. 46:  1abcdef, 4cde
                         Problems B.pdf: 3, 5, 9, 15

4    0.2,2.3       9/19  p. 52: 1, 2, 3
                         p. 59: 1, 3, 5, 6, 9abeg

5    2.4,          9/26  p. 59: 9fijkl, 10bd, 12, 17, 18
     notes.pdf    
                     (*) Note the typo in # 12:
                         it should read 'a < (a+b)/2 < b'.
                     (*) You may use any result that is either proved in 
                         the text of section 2.3, or that is stated as an 
                         exercise in section 2.3 earlier than the one you 
                         are working on.

6                 10/3   p. 67: 2abcdef, 5, 9ab, 13a
                         Problems C.pdf: 6, 11

                     (*) Note the typo in # 2f:  the right side should
                         read n/(n+1).

7    2.5          10/10  p.75:  1, 4, 5, 6, 7, 8
                     (*) Note the typo in # 8:  instead of 'the set of 
                         equivalences,' it should read 'the set of equivalence 
                         classes.'

8    2.7,2.8      10/17  p.85:  5, 7, 10 11, 12, 13, 15, 17, 19

9    2.9          10/24  D. Prove that if x is a real number and n is an odd positive integer,
                            then there exists a unique real number y such that y^n = x.
                         p. 90:  4, 6, 7, 8
                         p. 96:  1ad, 2d, 3, 8, 9

10   3.1          10/31  p. 105:  3c(i)(ii), 3d(iii), 3e(i)(ii), 6, 8, 9, 10
                         Problems E.pdf:  1(i)(iv)(vii), 2, 3

11   3.2          11/7   p. 109:  2(Q1, Q5, Q6), 3(Q1, Q5, Q6), 6, 7
                         Problems F.pdf:  1, 2, 3

12   3.3          11/14  Study for test 2 on 11/9.  Read section 3.3 for next week.			 

13   3.4          11/21  p. 117:  2, 3, 4, 7, 11, 12
                         G1.  Let a < b.  Prove that [0,1) is equivalent to (a,b].
                         G2.  Prove that (-1,1) is equivalent to R.  
                              (Hint:  write (-1,1) as the disjoint union of (-1,0) and [0,1).)
                         G3.  Prove that [0,1) is equivalent to (0,1).

14                12/5   p. 129:  2, 3, 4, 6, 7(use induction on n)
                         Problems H.pdf:  1, 2, 3