Test Total
Name
Test 1
Fundamentals of Advanced Mathematics 3450:307 Dr. Norfolk
October 10th, 2007
Show your work.
1. Construct the complete truth table for the propositional form: P Q Q R
P
QR
10 po
Test Total
Name
Test 2
Fundamentals of Advanced Mathematics 3450:307
Summer 2011
Show your work.
Dr. Norfolk
1. Disprove: (x IR Q )(y IR Q )(x + y IR Q ).
Q
Q
Q
10 points
2. Grade the following proof,
Test Total
Name
Test 3 (take home)
Summer 2011
Show your work.
Fundamentals of Advanced Mathematics 3450:307
Dr. Norfolk
1. Let P denote the set of all people alive on August 1, 2011, and B be the set
Test Total
Name
Test 2
Fundamentals of Advanced Mathematics 3450:307
April 20, 2009
Show your work.
Dr. Norfolk
1. (a) Claim: For sets A, B, C ,
A (B C ) = (A B ) (A C )
Find a counterexample to this
Test Total
Name
Test 2
November 21st, 2007
Show your work.
Fundamentals of Advanced Mathematics 3450:307
Dr. Norfolk
1. (a) Claim: For sets A, B, C ,
A (B C ) = (A B ) (A C ).
Find a counterexample to
Test Total
Name
Test 1
Fundamentals of Advanced Mathematics 3450:307
Feb 25, 2009
Show your work.
Dr. Norfolk
1. Construct the complete truth table for the propositional form: P R Q R
P
QR
10 points
2
Test Total
Name
Test 1
Fundamentals of Advanced Mathematics 3450:307
Summer 2011
Show your work.
Dr. Norfolk
1. Draw the most general Venn diagram for sets A, B, C , and shade the region which represe
Test Total
Name
Final Examination
Dec 12, 2007
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Fundamentals of Advanced Mathematics 3450:307
Dr. Norfolk
1. Dene the following terms :
(a) The Cartesian product of sets A and B
4 point
Test Total
Name
Dr. Norfolk
Final Examination (take-home)
Show your work.
Fundamentals of Advanced Mathematics 3450:307
Due: Wednesday, May 6, 2009, 10:00am
1. Let cfw_xn be a sequence of real number
Name
Homework #5
Fundamentals of Advanced Mathematics 3450:307 Dr. Norfolk
Prove the following, by the basic method indicated:
1. (Trivial) Let x IR. If 0 < x < 1, then x2 2x + 2 = 0.
2. (Vacuous) Let
Name
Homework #8
Fundamentals of Advanced Mathematics 3450:307 Dr. Norfolk
1. Disprove: If n cfw_1, 2, 3, 4, 5, then 3 | (2n2 + 1).
2. Prove by contradiction: If x is irrational and r is a non-zero ra
Name
Homework #4
Fundamentals of Advanced Mathematics 3450:307 Dr. Norfolk
1. Determine which of the following are statements, and give the truth value.
(a) Is it raining outside now?
(b) February 14
Name
Homework #3
Fundamentals of Advanced Mathematics 3450:307 Dr. Norfolk
1. Let A = cfw_1, 2, 3, 4. How many possible partitions of A exist?
2. Let B = cfw_1, 2, 3, 4, 5, 6 Find partitions S of B fo
Name
Homework #1
Fundamentals of Advanced Mathematics 3450:307 Dr. Norfolk
1. Let A = cfw_a, cfw_b, c, cfw_c. Determine whether the following are true or false.
(a) b A
(b) cfw_a A
(c) a A
(d) cfw_a A
Name
Homework #2
Fundamentals of Advanced Mathematics 3450:307 Dr. Norfolk
1. Sketch the most general Venn diagram for three sets A, B, C , and shade the region
(a) (C B ) A
(b) C (A B )
2. Give an ex