Math 301 Assignments

1.         Due Wednesday 1-23-08

Section 1.1

2. dhj,    3. bdfjl,    4. fjl,    5. abde,    8. abd,    9. bd,    10. bfik,    11. abde

            Special Instructions:    2.         Draw truth tables and be sure to include intermediate columns (not just the final column)

                                                3.         Insert the proper truth values for P,Q,R, etc. and then reduce each one to T or F.  Include intermediate steps.

                                                4.         Show equivalence (or non equivalence) using a truth table.  In the case of non-equivalence, it is sufficient to illustrate

                                                            a counter-example

by assigning appropriate truth values to P,Q,R, etc. instead of a complete truth table.

                                                5.         Translate the compound propositions into symbols (using A,B,C and logical connectives) and then determine the

                                                            truth value .

                                                8.         Use truth tables or a carefully constructed logical argument on each of these.

                                                9.         Like number 3.

                                                10.       Translate the denial of each statement into English, avoiding ambiguities.

                                                11.       Insert parentheses to indicate the proper order of operations.

2.         Due Monday 1-28-08

Section 1.2

1. bcei (identify the antecedent and consequent---i.e. write the statement and label each part appropriately)
2. bcei (write the converse and contrapositive for just these four parts of number 1)
4. bdgh
5. bdefi
8. all parts
9. ce (prove each part two ways 1) using a truth table, 2) using logical equivalences and justifying each step)
11. all parts
13. bi
14. all parts

3.         Due Friday 2-01-08    

Section 1.3

1.    cdhjm  (Translate each one into a symbolic sentence using quantifiers.  See the answer for part a in the back for the proper format.)
            2.    cdj (First write the denial using the symbolic sentences from 1. and then translate each into English.)

3.    all parts

5.    abcd ghij  (briefly justify your answer when your answer is FALSE)
6.    cfg
7.    bceghj   (briefly justify your answer when your answer is FALSE)
8.    be
9.   a   (give both the symbolic form and a denial of the epsilon-delta definition of "f is continuous at a")
           Recall that f is continuous at a if for every epsilon greater than 0, there is a delta greater than 0 such that for every x,
           |f(x) - f(a)| is less than epsilon whenever |x - a| is less than delta.

4.         Due Monday 2-04-08

Section 1.4:   

3 cd, 5 ae, 6 d, 7 aj, 8, 9 ab

5.         Due on Friday 2-08-08.

Section 1.5: 

2 ace, 3 cf, 4 a, 6 bc,  7 c, 10

6.         Due on Wednesday 2-13-08

Sections 1.6 and 1.7

1.6       1bd, 2ad, 5def, 7e
1.7       1e, 2c, 3ab

7.         Due on Monday 2-25-08

Section 2.1

1. bd
2. bd
3. bdfhj
4. bdfhjl
6. be
8. abc
9. bdfhjl
10. b
12.
16.

8.         Due on Friday 2-29-08

Sections 2.2 and 2.3

2.2    1. bdf, 2. djl, 3. aeil, 6, 7, 8. Only parts f,i,l, and r of the theorem., 9. Part g of the theorem.  10.b, 14. bdf
2.3    1. bdfhjkl, 2.bdfhjkl, 12. , 13.

9.            Due on Friday 3-07-08
 
Section 2.4:       4cdfg, 6abde, 8bcjl, 9b, 10
 
Section 2.5:       1,2

10.       Due on 3-28-08

Section 2.6:     2, 3, 6, 8, 10, 11, 14, 16bc, 17

11.       Due Friday 4-04-2008 

Section 3.1   1a, 4, 5, 6bdf, 7bdf, 8bdf, 9c, 10efh, 11c,13, 17.

12.       Due Friday 4-11-08

Section 3.2   1bfh, 2bcg, 4ac, 5, 6d, 8    

Section 3.3   2abc, 4, 6ac, 7, 8b

13.       Due Friday 4-18-08

Section 4.1   1bcefhi, 2, 4, 5ac, 6ac, 9, 14
Section 4.2   1fg, 2fg, 3di, 13

14.       Due Friday 4-25-08

Section 4.3      1beh, 2beh, 3, 4, 6, 9d, 13, 15, 16

15.       Due Wednesday 4-30-08

Section 5.1    1, 4, 5
Section 5.2    1bd, 3
Section 5.3    2
Section 7.2    2ac, 4, 5, 15aceg