MATH 174 - Test 1
September 25, 2000
This test is out of 100 points.
Name:
1. (15 points) Are the statement forms p and p ( q p) logically equivalent? (Use a truth
table to justify your answer.)
2. (10 points) Write the contrapositve of the following stat
MATH 174 - Test 1
February 13, 2001
This test is out of 100 points.
Name:
1. (10 points) Is the statement form ( p q ) (p q ) a contradiction or a tautology? (Use
a truth table to justify your answer.)
p
T
T
F
F
q
T
F
T
F
p
F
F
T
T
pq
T
F
T
T
q
F
T
F
T
pq
MATH 174 - Test 2
March 22, 2001
This test is out of 100 points.
Name:
1. (15 points)
(a) Let A = cfw_a, b, c, B = cfw_b, c, d and C = cfw_b, c, e. Find A (B C ), (A B ) C and
(A B ) (A C ). Which of these sets are equal?
(b) Draw Venn diagrams to represe
Review for Exam 2
The second exam will cover Sections 2.2 to 3.6 inclusive. I will be reviewing the material in
class on Tuesday; please come prepared with questions you would like me to answer. Below is a
list of the concepts I regard as the most importa
MATH 174 - Test 2
March 22, 2001
This test is out of 100 points.
Name:
1. (15 points)
(a) Let A = cfw_a, b, c, B = cfw_b, c, d and C = cfw_b, c, e. Find A (B C ), (A B ) C and
(A B ) (A C ). Which of these sets are equal?
B C = cfw_b, c, d, e
A (B C ) = c
MATH 174 - Test 3
April 19, 2001
This test is out of 100 points.
Name:
1. (10 points) Indicate whether each of the following statements are true or false. Provide
labelled Venn diagrams to support your answers.
(a)
For all sets A, B , and C , A (B C ) = (
Review for Exam 3
The third exam will cover all the material lectured on in class between Section 5.2 and Section
6.4. I will be reviewing the material in class on Tuesday; please come prepared with questions
you would like me to answer. I will also hold
MATH 174 - Test 3
April 19, 2001
This test is out of 100 points.
Name:
1. (10 points) Indicate whether each of the following statements are true or false. Provide
labelled Venn diagrams to support your answers.
(a) False For all sets A, B , and C , A (B C
Review for Final Exam
The final exam will be cumulative, covering the material on all three midterms and sections 7.1,
8.1 and 8.2. Because the later sections have not been tested previously, there will be a slightly
greater emphasis on them.
I will be re
M ATH 174 Quiz #5
Name
Points: There are two problems on this quiz; each is worth 5 points. 1. Write 13 + 23 + 33 + + n3 using summation notation.
Answer:
2. Find integers a and b with -10 b 10 such that 2 + 22 + 23 + + 226 = 2a + b.
a= b=
Fall 2003, Math 174, Exam 2 SOLUTIONS PRINT Your Name: There are 10 problems on 4 pages. Each problem is worth 5 points. CIRCLE your answers. No Calculators. If I know your e-mail address, I will e-mail your grade to you. If I don't already know your e-ma
Review for Exam 1
The first exam will cover all the material lectured on from the begining of the semester up to and including
section 3.2. I will be reviewing the material in class on Thursday; please come prepared with questions you
would like me to ans
MATH 174 - Test 1
February 13, 2001
This test is out of 100 points.
Name:
1. (10 points) Is the statement form ( p q ) (p q ) a contradiction or a tautology? (Use
a truth table to justify your answer.)
2. (14 points) Consider the following statement.
If i
MATH 174 - Quiz 10
Name:
1. (10 points) Let A = cfw_1, 2, 3, 4, 5. Consider the minimum function.
min : A A A
a if a b,
min(a, b) =
b if b < a.
Find the following
(a) min(3, 4) = 3
(b) min(4, 3) = 3
(c) min(3, 3) = 3
(d) The range of min is cfw_1, 2, 3, 4
MATH 174 - Test 1
September 25, 2000
This test is out of 100 points.
Name:
1. (15 points) Are the statement forms p and p ( q p) logically equivalent? (Use a truth
table to justify your answer.)
p
T
T
F
F
q
T
F
T
F
q
F
T
F
T
qp
T
T
F
T
p ( q p)
T
T
F
F
Th
MATH 174 - Test 2
October 23, 2000
This test is out of 100 points.
Name:
1. (10 points) Let A = cfw_0, 0, 1 and B = cfw_0, 1.
(Note: A Yes or No answer will suce.)
(a) Is A B ?
(b) Is B A?
(c) Is A A?
(d) Is cfw_0 A?
(e) Is cfw_0 B ?
1
2. (14 points)
(a)
MATH 174 - Test 2
October 23, 2000
This test is out of 100 points.
Name:
1. (10 points) Let A = cfw_0, 0, 1 and B = cfw_0, 1.
(Note: A Yes or No answer will suce.)
(a) Is A B ?
No
(b) Is B A?
Yes
(c) Is A A?
Yes
(d) Is cfw_0 A?
Yes
(e) Is cfw_0 B ?
No
1
2
MATH 174 - Test 3
December 4, 2000
This test is out of 100 points.
Name:
1. (15 points)Let A, B and C be sets and suppose that (B C ) A.
(a) Draw a Venn diagram illustrating the above situation.
(b) Label C A and B A in your diagram.
(c) What set does (C
Review for Exam 3
The third exam will cover all the material lectured on in class between Section 5.1 and Section
9.2. I will be reviewing the material in class on Friday; please come prepared with questions you
would like me to answer. Below is a list of
Review for Final Exam
The final exam will cover all the course material, from section 1.1 through section 6.4.
For material which appeared on previous midterms, please refer to the review sheets for the
midterms, and the midterm solutions. There are links
Review for Exam 1
The first exam will cover all the material lectured on from the beginning of the semester up to and including
section 2.1. I will be reviewing the material in class on Thursday; please come prepared with questions you
would like me to an
MATH 174 Midterm 1 9/17/02
Solutions
1. (6 points) Write the following statement in symbolic form letting:
p=
q=
Fred will take French.
Fred will take Spanish.
Fred will take French or Spanish but not both.
(p q ) (p q )
2. (12 points) Are the statement f
Review for Exam 2
The second exam will cover Sections 2.2 to 3.6 inclusive. I will be reviewing the material in
class on Thursday. Below is a list of the concepts I regard as the most important. It is intended as
a guide to help you study.
Statements
Be a
MATH 174 Midterm 2 10/22/02
Solutions
1. (12 points) Consider the following statement:
Everybody has read some book.
(a) Rewrite the statement formally using quantiers and variables.
(Your answer should also include some words.)
people p, a book b such t
Review for Exam 3
The third exam will cover all the material lectured on in class between Section 4.1 and Section 5.3. I will be
reviewing the material in class on Thursday; please come prepared with questions you would like me to answer.
Remember that I