MATH 3283W
Worksheet 3 answers
Tuesday 15 September 2015
1. (a)
p
T
T
F
F
q
T
F
T
F
pq
T
F
T
T
(p q)
F
T
F
F
q
F
T
F
T
p q
F
T
F
F
(b) This statement is FALSE. We prove the negation: there exists x such that for every y, there exists
z such that z > y an

Math 3283W Name (Print): 574% 3*?
Spring 2013 Student ID:
Final Exam
Section Number:
Tuesday 14 May 2013 Teaching Assistant:
Time Limit: 120 minutes Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values

Math 3283W Name (Print):
Spring 2012 Student ID:
Final Exam Section Number:
May 12, 2012 Teaching Assistant:
Time Limit: 120 minutes Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are in parenthes

\
Math 3283W Name (Print): W
Spring 2011 Student ID:
Final Exam Section Number: _
May 13, 2011 Teaching Assistant:
Time Limit: 120 minutes Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are in paren

Math 3283W
Spring 2013
Final Exam
Tuesday 14 May 2013
Time Limit: 120 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are in pare

Keg, ( Grail/j 614,;le
Math 3283W Name (Print):
Fall 2010 Student ID:
Final Exam Section Number:
December 21, 2010 Teaching Assistant:
Time Limit: 120 minutes Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Poin

Math 3283W
Fall 2010
Final Exam
December 21, 2010
Time Limit: 120 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are in parenthe

Math 3283W
Fall 2010
Exam 2
October 26, 2010
Time Limit: 50 minutes
Name (Print):
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Signature:
This exam contains 5 numbered problems on four sheets of paper. The last sheet is blank for
scratch work. Check to

MATH 3283W
Worksheet 17 answers
Tuesday 1 December 2015
1. (a) This is the subsequence a2n , which has limit e.
(b) This is the sequence a2n , which has limit e2 .
(c) This is the sequence an /(1 + 1/n), which has limit e/1 = e.
(d) This is the sequence 1

Math 3283W
Spring 2014
Final Exam
Thursday 15 May 2014
Time Limit: 120 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are in par

Math 3283W
Spring 2012
Final Exam
May 12, 2012
Time Limit: 120 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are in parentheses

Math 3283W
Spring 2011
Final Exam
May 13, 2011
Time Limit: 120 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are in parentheses

MATH 3283W
Worksheet 3
Tuesday 15 September 2015
Quantifiers and proof techniques
1. (a) First, show with a truth table that (p q) is logically equivalent to p q.
(b) (1.2 #12e) Determine whether the following statement about real numbers x, y, z is true

MATH 3283W
Worksheet 1
Tuesday 8 September 2015
The natural numbers
In this course we will explore properties of the natural numbers:
N = cfw_1, 2, 3, . . ..
1. Complete this definition: A natural number n is odd if . . .
2. Complete this definition: A n

Math 3283W
Spring 2013
Exam 3
Thursday 18 April 2013
Time Limit: 50 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 5 numbered problems on three sheets of paper. Check to see if any pages are
missing. Po

Math 3283W
Spring 2014
Exam 3
Thursday 17 April 2014
Time Limit: 50 minutes
Name (Print):
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Section Number:
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Signature:
This exam contains 5 numbered problems on four sheets of paper; the last one is blank for scratch
work. Ch

Math 3283W
Fall 2010
Exam 3
November 18, 2010
Time Limit: 50 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 5 numbered problems on four sheets of paper. The last sheet is blank for
scratch work. Check t

Math 3283W
Spring 2012
Exam 3
April 12, 2012
Time Limit: 50 minutes
Name (Print):
Student ID:
Section Number:
Teaching Assistant:
Signature:
This exam contains 5 numbered problems on three sheets of paper. Check to see if any pages are
missing. Point valu

Math 3283W Name (Print): ML
Spring 2014 Student ID:
Final Exam Section Number: _
Thursday 15 May 2014 Teaching Assistant:
Time Limit: 120 minutes Signature:
This exam contains 10 numbered problems. Check to see if any pages are missing. Point values
are