David Dietrich
MAD2104
Exam 2
07/03/2016
1) D
2) Let k=1.
5*1=5
5 is prime but it is not composite.
3) 120/6=20
120/8=15
120/48=2.5
4) Let x=0.35353535
100x=35.353535
100x-x=99x
99x=35
x=35/99
5)
Rational numbers r, r+r^2 is rational
b) +(1/2)^2=1/2+1/4=2

David Dietrich
MAD 2104
Assignment 6
07/17/2016
Chapter 9.2
7. a)
b) 24
c) 5/24=20.8%
10. a) 3*2*2 = 12
b) 3*4 = 12
34. 4! = 4*3*2*1 = 24
Chapter 10.1
3.
16. 8 edges
25.
Chapter 10.2
6. b) (v3, v4)
c) (v2, v3), (v6, v7)
20. This graph does not have an Eul

David Dietrich
MAD 2104
Assignment 5
07/15/2016
Chapter 8.1
4. c) No
d) Yes 2
9. c) No
d) Yes 5=5
14.
Chapter 8.2
2. a)
b) No, (3, 3) is not an element of the relation thus it is not reflexive.
c) No, (1, 0) is not an element of the relation thus it is no

David Dietrich
MAD 2104
06/05/2016
Exam 1
1) D
2) B
3) C
4) cfw_(3, 15), (3, 16), (3, 17), (3, 18), (5, 15), (5, 16), (5, 17), (5, 18), (7, 15), (7, 16), (7, 17), (7,
18)
(x, y) is an element of R y/x is an integer
Answer: A
16/3 an integer
5) A
6) q v ~p

Preliminary Exam #1 - Discrete Mathematics
Name_
* Show work to support your answers.
Choose a phrase to use in the blank that makes the statement equivalent to the given statement.
1) For all objects T, if T is a triangle then T has three sides.
All tria

David Dietrich
MAD2104
Assignment 2
06/02/16
Chapter 2.3
9.
p
q
~q
r
~r
p^q
p^q~r
p~q
~qp
~r
T
T
F
T
F
T
F
T
T
F
*T
T
F
F
T
T
T
T
T
T
*T
F
T
T
F
F
T
T
T
F
*T
F
T
F
T
F
T
T
T
T
F
T
F
T
F
F
T
F
T
F
F
T
F
F
T
F
T
F
T
T
F
F
T
T
F
F
T
T
F
F
F
F
T
F
T
F
T
T
F
T

David Dietrich
MAD 2104
Assignment 3
06/19/16
Chapter 4.1
10. True. For example let n=3.
2
2 (3 ) 5 ( 3 ) +2
1815+ 2=5
5 is a prime number because there are no other integers that would divide 5 except for 1 and 5.
Q.E.D.
27. The sum of any two integers i

Unit 1 Checklist
Week 1
Complete the First Day Attendance Survey in Canvas
Read sections 1.1, 1.2, and 1.3 in the textbook.
Read the Chapter 1 Supplements page in Canvas and watch the videos.
Complete the homework assignments for sections 1.1, 1.2, and 1.

David Dietrich
MAD 2104
Assignment 1
05/28/2016
Chapter 1.1
2. a) a remainder of 2 when divided by 5 and a remainder of 3 when divided by 6
b) an integer n, n is divided by 6 its remainder is 3
6) a) the cube root of s is negative
b) is negative, s will h

David Dietrich
MAD2104
Assignment 4
07/02/2016
Chapter 5.1
6
16.
3k
k=1
k
40.
3
k=1
62.
k+1
i +(k +1) = i3
3
k=1
4321
=4
321
All denominator factors end up as one so the answer is 4/1 or 4.
Chapter 5.2
4. a)
P (2 ) =
2( 21)( 2+ 1) 2(1)(3) 6
=
= =2
3
3
3