MATH:4050: Introduction to Discrete Mathematics.
Homework 1 due 09/02/16.
1. Prove that an m-by-n chessboard has a perfect cover by dominoes if and only if at
least one of m and n is even. (Note that this is an if and only if statement, you need
to prove
MATH:4050: Introduction to Discrete Mathematics.
Homework 2 due 09/09/16.
1. What is the minimum number of students required in a discrete mathematics class to
be sure that at least seven will receive the same grade, if there are five possible grades,
A,
Jeff Maxey
Operation: Internet Freedom
Censorship of the Internet, also known as filtering, has been a rising controversy across
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world. Vast amounts of people
22M:034:112 Quiz 6 '
Duration of quiz: 10 minutes.
12th October 2011
Calculators, books or formula sheets are NOT allowed.
Name: SOFquoll§
1. Use the method of variation of parameters to nd a particular solution to the
differential equation:
y 5g," +
Some Answers/Solutions to HW 1
September 6, 2012
Note: There may be more than one possible solution for some of the questions. Also,
I have copied some of the solutions from the solution manual without checking them so
watch out for typos.
Section 1.1
4a)
Selected Answers to HW 7
October 8, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 6.1
1. a) 5850.
b) 343.
4. 72.
8. 1
Selected Hints/Answers to HW 8
October 16, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 6.2
4. a) 5.
b) 13.
7. Look
Selected Hints/Answers to HW 9
October 30, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 6.2
29. R(2, n) is the minim
Selected Answers to HW 10
November 3, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 6.5
41.
52
7
45
7
38
7
31
7
24
7
Selected Answers to HW 11
November 3, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 7.2
23.
1
.
4
25.
3
.
8
26. Yes.
Selected Answers to HW 12
November 26, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 7.2
1
31. a) 32 .
b) 0.495 .
c)
Selected Answers to HW 13
December 4, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 8.2
3
4. a) an = 5 (2)n + 12 3n .
Selected Answers to HW 14
November 26, 2012
Note:
1. There is a possibility of typos; in case you notice one, let me know.
2. These are just the answers; you must show work in your homework/quiz to get full credit.
Section 8.6
2. 1000 450 622 30 + 111 + 1
22M:150:001 Quiz 3
Duration of quiz: 10 minutes.
19th September 2012
Calculators, books or formula sheets are NOT allowed.
Name:
1. Find the greatest common divisor of 2987 and 4669.
(5 points.)
Well use the Euclidean Algorithm to determine the greatest c