Name:
MA134A
SSN:
EXAM 3
Grade:
April 2012
I pledge my honor that I have abided by the Stevens Honor System.
1 (16pts)
Let A = cfw_5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7. Let R be the relation dened as follows:
x, y, A, xRy 4 | (x y ).
1. Prove that R is a
Name:
MA134
SSN:
FINAL EXAM
I pledge my honor that I have abided by the Stevens Honor System.
1. (8pts)
Use a truth table to determine if the following is a tautology. Explain.
[r (p q )] [(r p) (r q )]
Grade:
May 2012
2 (10pts) Let U = Z . Are the follow
Name:
SSN:
MA134A
EXAM 1
I pledge my honor that I have abided by the Stevens Honor System.
1 (15pts)
True or false? If false, explain.
Let U = Z .
1. y !x [xy = 0]
2. x y [3x 2y = 10]
3. y x [xy = x]
Grade:
February 2012
2 (12pts) Use a truth table to che
Name:
MA134A
SSN:
Grade:
EXAM 2
March 2012
I pledge my honor that I have abided by the Stevens Honor System.
1 (12pts)
1. Are the following functions injections (1-1)? surjections (onto)? If not, explain.
1. f : Q cfw_5
r
2. f : Z
Q
r
5r
N
n | n| + 2
3.