Homework for MAT 250-01

MAT 250-01

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Assignment
Number Date
Assigned Assignment Date
Due

1 1/23 1) Read the syllabus.
2) Answer these questions.
Get solutions here.
1/28

2 1/28 Read Section 1.1
Do P. 8 # 1a-i,2ce,3aceg,4ce,5abc,8ac,10c-f,11ac
Get solutions here. 1/30

3 1/30 Read Section 1.2
Do P. 17 # 1bdjk,2bg,3c,4abdg,5abef,7ag,8bcdfgi,9c,10,11,13c
Get solutions here. 2/4

4 2/4 Read Section 1.3
Do P. 26 # 1cdfg,2cdfg,5abcf,6abdg,7abcd,11
Get solutions here. 2/6

5 2/6 Read Sections 2.6 and 2.7 of Dr. Field's book. Please do NOT
print out the entire book using university resources. This
link will be here for you all semester. You can always come
back and read it from your computer. You'll even get the latest
updates as they are made. Or just print out the few pages
needed for the reading. If you really want a copy of the whole
thing, either store it on your computer electronically or print it
at home.
Do P. 107 # 1,3
Do P. 114 # 1
Also complete this worksheet #1-6 only. Leave the last 3 for
next time.
Finally, finish filling in the gaps of this argument:

A says: B is a knight.
B says: A and I are of opposite types.

Suppose B is a knight, so B tells the truth (modus ponens), so A & B
are opposite types. Since B is a knight, A is not a knight. But A is
either a knight or a knave. Therefore A is a knave (by elimination),
so A lies (modus ponens). So B is a knave. This contradicts the
assumption that B is a knight. Therefore, the assumption is wrong and
B is a knave. So B lies and therefore A and B are the same type, so
A is a knave.
Get solutions here. 2/11

REMINDER: Exam I will be held in class on Wednesday 13 February.

6	2/11	Read Section 1.4 Finish the worksheet from assignment 5. Do P. 37 # 3bd,5c,7a Also complete this worksheet. Get the logic summary sheet here. Get solutions here.	2/20
7	2/20	Read Section 1.4 again Do P. 37 # 5b,6ab,7dek NOTE: Prove them all directly. There exist proofs that should be done by CASES (3 of them in fact). Also, note that the assumption for 7(e) should be that a is an integer not equal to 0 (as stated in the book, the proposition is false). Get solutions here.	2/25
8	2/25	Read Section 1.5 Do P. 45 # 1ac,2bc,3c,4a,6a,8,12 NOTE: In #8, use the fact that the "magic sum" for a 4x4 magic square is 34. Read the section carefully or see wikipedia if you would like more information on magic squares. And by "use" I mean use it as if it were part of the definition of a magic square. Do not prove it. Get solutions here.	2/27
9	2/27	Read Section 1.6 Do P. 53 # 1ag,2c,3,5cf,7ce Get solutions here.	3/3
10	3/3	Read Section 2.1 Do P. 76 # 3,4bdfhjl,5,6ab,8,9bdfhjl,11,12,14 Use Theorem 2.2 in proving #14. Do not use an "element chasing" proof. Get solutions here.	3/5
11	3/5	Read Section 2.2 Do P. 83 # 1abc,2bdh,3dej,4b,6,10f,11c,13b,12bcd,14bdf,17ef Prove part (e) of Theorem 2.6 Get solutions here.	3/10

REMINDER: Exam II will be held in class on Wednesday 12 March.

12	3/10	Read Section 2.3 Do P. 92 # 1bdfjk,2bdfjk,8,12 Get solutions here.	3/24
13	3/24	Read Section 2.4 Do P. 106 # 2,4f,6ab,8bc,15bc Get solutions here.	3/26
14	3/26	Read Section 2.4 again Complete this worksheet. Get solutions here.	3/31
15	3/31	Read Section 2.5 Do P. 116 # 1,3a,6b,9 Get solutions here.	4/2
16	4/2	Read Section 3.1 Do P. 142 # 1b,2,3c,5,6b,8fi,9ac,10gj,12,14 Get solutions here.	4/7
17	4/7	Read Section 3.2 Do P. 150 # 1fik,2bd,3bd,5,8,9 Get solutions here.	4/9

NOTE: Exam III has been postponed until Monday 14 April.

18	4/9	Read Section 3.3 Do P. 151 # 4abf Do P. 158 # 1,2,3ad,4,9,11 Get solutions here.	4/16
19	4/16	Read Section 3.3 again Complete this worksheet. Get solutions here.	4/21
20	4/21	Read Section 4.1 Do P. 185 # 1acdgj,2,3acdf,4,5ace,6,9,10,11 Get solutions here.	4/23
21	4/23	Read Section 4.2 Do P. 195 # 1cfg,2cfg,3abcd,6,7,8,12abc,19ac Get solutions here.	4/28
22	4/28	Read Section 4.3 Do P. 205 1adfgk,2adegk,3,4,5,9,17abcd Get solutions here.	4/30
	5/8	Get Exam III solutions here. Get Exam IV solutions here.

REMINDER: Exam IV has been postponed until Monday 5 May.

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Assignment Number	Date Assigned	Assignment	Date Due
1	1/23	1) Read the syllabus. 2) Answer these questions. Get solutions here.	1/28
2	1/28	Read Section 1.1 Do P. 8 # 1a-i,2ce,3aceg,4ce,5abc,8ac,10c-f,11ac Get solutions here.	1/30
3	1/30	Read Section 1.2 Do P. 17 # 1bdjk,2bg,3c,4abdg,5abef,7ag,8bcdfgi,9c,10,11,13c Get solutions here.	2/4
4	2/4	Read Section 1.3 Do P. 26 # 1cdfg,2cdfg,5abcf,6abdg,7abcd,11 Get solutions here.	2/6
5	2/6	Read Sections 2.6 and 2.7 of Dr. Field's book. Please do NOT print out the entire book using university resources. This link will be here for you all semester. You can always come back and read it from your computer. You'll even get the latest updates as they are made. Or just print out the few pages needed for the reading. If you really want a copy of the whole thing, either store it on your computer electronically or print it at home. Do P. 107 # 1,3 Do P. 114 # 1 Also complete this worksheet #1-6 only. Leave the last 3 for next time. Finally, finish filling in the gaps of this argument: A says: B is a knight. B says: A and I are of opposite types. Suppose B is a knight, so B tells the truth (modus ponens), so A & B are opposite types. Since B is a knight, A is not a knight. But A is either a knight or a knave. Therefore A is a knave (by elimination), so A lies (modus ponens). So B is a knave. This contradicts the assumption that B is a knight. Therefore, the assumption is wrong and B is a knave. So B lies and therefore A and B are the same type, so A is a knave. Get solutions here.	2/11