Pop Quiz 2
CIS 275
Name:
Points: 1 2 3
Consider the following claim:
If w is deltic and t blimets w, then t is quibic.
Note: You do not need to prove the claim, which means you also do
not need to worry about the denitions of deltic, blimets, or quibic.
1
Assignment 4: Sample Solutions
CIS 275 Intro to Discrete Mathematics
Exercises
1. (10 points) Use a direct proof to prove the following statement1 :
Let A, B, C be sets. If A B and A C, then A B C.
Proof: (direct)
Suppose that A B and A C. [Need to show:
Assignment 1
CIS 275 Intro to Discrete Mathematics
Logistics
This assignment covers material from Section 7 of Scheinermans Mathematics: A Discrete Introduction (MDI).
This homework is officially due in class on Thursday, September 4. However, it comes wi
CIS 275: In-class Activity
1
2
3
14 October 2014
Name :
Consider the following claim:
Let x, y, z be integers. If x is a bantor and y claibors (x z), then y filters z.
Note: I am not asking you to prove this claim, so you do not need to worry about the de
CIS 275: In-class Activity (Sample Solutions)
Name #1:
21 October 2014
Name #2:
Claim: Let f : A B and g : B C be functions. If f and g are both onto, then g f is
also onto.
Proof: (direct)
Suppose that f and g are onto.
[Need to show: g f : A C is onto,
CIS 275: In-class Activity
Name #1:
1
2
3
Name #2:
Claim: Let k be an integer. Then 0|k if and only if k = 0.
Proof:
Suppose that
It suffices to prove two subclaims:
:
:
To prove : (direct)
To prove : (direct)
9 September 2014
CIS 275: In-class Activity
Name #1:
1
2
3
21 October 2014
Name #2:
Claim: Let f : A B and g : B C be functions. If f and g are both onto, then g f is
also onto.
Proof: (direct)
Suppose that
[Need to show:
, which means that
]
WRT 205: Unit 2 Calendar
Willis
Date
Thurs,
Feb. 5
Primary Research: Gender & Pop Consumer Culture
In-class Topics and Activities
Homework (due the following
class)
Choose either a representative
Introduction to the assignment and to
example or a site to
WRT 205: Unit 1 Calendar
Gender & Pop Consumer Culture
Date
WEEK
ONE:
Tues,
Jan.13
In-class Topics and
Activities
Introduction to the course,
the inquiry, and the unit 1
assignment. We will
review, define, and
practice critical summary
and talk about its
Should Companies Obey the Law If Breaking It Is More
Profitable?
Huffington Post
July 5, 2012
When a large corporation gets caught breaking the law, the costs can be severe - for the
firm if it's sanctioned, for employees blamed for the misconduct and inv
For BP, Failure Was the Only Option
By Dana Radcliffe
FoxNews.com
July 28, 2010
On Day 100 of the Gulf catastrophe and one day after a rig accident caused yet
another oil leak in Gulf waters its worth recalling that memorable line from
Spiderman: The Movi
What Do I Owe?
Dana Radcliffe
If I borrow $20 from you, then I owe you $20. If I recruit you for a lab experiment, I owe
you an explanation of the risks. If you are an investor in my business, I owe you an
accurate accounting of its finances. These and co
ECS 392
Spring 2015
FINAL PROJECT
(Details)
Date due: Monday, May 4 (at 10:00 pm, via Turnitin)
Length: 1.5 to 2.0 pages, single-spaced, normal margins.
Topic: This is a case analysis. Select a case of an organizations either pursuing or
considering a cer
Consumerism and Identity: Some Psychoanalytic Considerations
To what extent buying is effective in enlarging or building identities cannot be known
for sure. However, it seems to me that the identity-building quality of consuming is
becoming more and more
In-Class Exercise
Class 3: 16 January 2015
Problem Description
You are an emergency 911 operator. You receive a distress call from Alice on her cell phone, which has
an emergency GPS locator. Your GPS puts her location at (x,y) coordinates
. Your GPS
loca
Ethical Leadership and the Psychology of Decision Making
Messick, David M;Bazerman, Max H
MIT Sloan Management Review; Winter 1996; 37, 2; ProQuest
pg. 9
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission
Assignment 2: Sample Solutions
CIS 275 Intro to Discrete Mathematics
Note: Answers appear in red. Grading notes appear in blue.
Each of the proofs (i.e., questions 25) is worth 10 points. See the grading flowchart, and use
following scale:
Excellent: 10
CIS 275: In-class Activity (Sample Solutions)
Name #1:
9 September 2014
Name #2:
Claim: Let k be an integer. Then 0|k if and only if k = 0.
Proof:
Suppose that k is an integer.
It suffices to prove two subclaims:
: If 0|k, then k = 0.
: If k = 0, then 0|k
CIS 275: In-class Activity (Sample Solutions)
Name #1:
7 October 2014
Name #2:
For each proof fragment below, (i) expand out the need to show component with the appropriate
definition and (ii) fill in the consider an arbitrary element component.
1.
Proof:
CIS 275 Assignment Cover Sheet
Name:
Assignment #
Section (please circle):
M001
(TuTh 2-3:20pm)
M004
(TuTh 11-12:20pm)
Yes
No
Did you consult with anyone (excluding the course instructor or tas/graders) on
parts of this assignment?
Yes
No
Did you consult
CIS 275: In-class Activity
Name #1:
1
2
3
7 October 2014
Name #2:
For each proof fragment below, (i) expand out the need to show component with the appropriate
definition and (ii) fill in the consider an arbitrary element component. Heres an example:
Proo
CIS 275: In-class Activity (Sample Solutions)
Name #1:
18 September 2014
Name #2:
Claim: Let A and B be sets. If A B, then 2A 2B .
Proof: (direct)
Suppose that A B.
[Need to show: 2A 2B , which means that, for all X, if X 2A , then X 2B .]
Consider an arb
Your Turn
Definition: Let a and b be integers. We say that a is divisible by b (also:
b divides a, or b is a factor of a, or b is a divisor of a)
provided there is an integer c such that bc = a.
We write b|a to indicate that b divides a.
For each one: det
Name:
CIS 275 Intro to Discrete Mathematics
Exam 2 (Version Yellow)
5 November 2013
Question
Points
Possible
1
16
2
8
3
18
4
22
5
12
6
12
7
12
Total
100
Points
Received
1. This exam is a closed-book, closed-notes exam.
2. Legibility counts! Make sure I ca
CIS 275: In-class Activity (Sample Solutions)
14 October 2014
Name :
Consider the following claim:
Let x, y, z be integers. If x is a bantor and y claibors (x z), then y filters z.
Note: I am not asking you to prove this claim, so you do not need to worry
CIS 275: In-class Activity (Sample Solutions)
30 September 2014
Name:
Let U be the set cfw_2, 5, 9.
Define nonempty relations S1 , S2 , S3 U U to satisfy the following constraints:
1. S1 is both symmetric and antisymmetric.
One of seven possible answers:
Your Turn
Definition: Let a and b be integers. We say that a is divisible by b (also:
b divides a, or b is a factor of a, or b is a divisor of a)
provided there is an integer c such that bc = a.
We write b|a to indicate that b divides a.
For each one: det