Mat200/Discrete Mathematics Assignments-Fall 2008

Special note about how lab assignments should be named

All labs should be saved according to the following

naming convention

lllllll_fffffff_Mat200_0z_Labxx.nb

where lllllll is the last name

fffffff is the first name

0z is the section number

xx is the lab number

for example

Conjura_Edward_Mat200_03_Lab01.nb

would be how Dr. Conjura

would submit the first lab report.

Assignment 1.1

.....due 8-27-2006 .....

Assignment 1.2

Read Sections 1.1, 1.2 & 1.3 in Chapter 1 of text

Work following problems in Sections 1.1,1.2,1.3 in Chapter 1 of text

......Section 1.1 Problems 1,3,6,16,18,19,21 & 23 due 9-08-2008 .....

......Section 1.2 Problems 3,5,9,16,22,23 & 29 due 9-08-2008 .....

......Section 1.3 Problems 1,5,6,9,13,38a,41 & 42 due 9-08-2008 .....

Assignment 1.3

Lab #1 Report

......Electronic submission due by 11:00PM 9-10-2008 ..............

Assignment 2.1

Read Sections 2.1 in Chapter 2 of text

......Section 2.1 Problems 1,3,6,9,13,19 & 26 due 9-18-2008 .........

Assignment 2.2

Read Sections 2.2 in Chapter 2 of text

......Section 2.2 Problems 1,3,6,9,11 & 13 due 9-18-2008 .........

Assignment 2.3

Read Sections 2.3 in Chapter 2 of text

....Section 2.3 Problems 1,3,14,16,18,30,40a,b,e due 9-18-2008 .......

Assignment 2.4

a) Prove that For all x in Z, if x is in 3Z+1 or x is in 3Z+2 then x^2 is not in 3Z

b. State the contrapositive of the theroem in a)

c. Prove that Sqrt(3) is not in Q (Hint: use Theorem in b)

d. Express 7/18 as a terminating or repeating decimal

e. Express 16.1283283283.... as a fraction

......due 9-18-2007 .......

Assignment 2.5

Lab #2 Report

......due by 11:00PM 9-17-2007 ....................

Assignment 3.1

Read Sections 3.1 in Chapter 3 of text

Section 3.1 Problems 1,2,3,4,6,8,9,11,24,25,27,34,35 & 36 9-22-2008...

Assignment 3.2

Read Sections 3.2 in Chapter 3 of text

........Section 3.2 Problems 3,4,6,8,12,17 & 20 due 9-22-2008.........

Assignment 3.3

Read Sections 3.3 in Chapter 3 of text

.....Section 3.3 Problems 1,4,5,8,14,22,26 & 36 due 9-22-2008.........

Assignment on Complex Numbers

Read class notes on Complex Numbers

Work the following problems:

1) If z = 1 - Sqrt(3)i then using DeMovre's Formula for raising

complex numbers in Polar (Trigonometric) Form to a power

calculate z^4 (e.g. z to the 4th power)

The correct answer to the above problem is 16[-(1/2) + (Sqrt(3)/2)i]

2) Given equation z^4 =16[-(1/2) + (Sqrt(3)/2)i], then using

DeMovre's Formula for finding the roots of complex numbers in Polar

(Trigonometric) Form, find all four complex solutions expressed

in rectangular form.

3) Given z = -2, then calculate z^5 using the methods of problem 1)

3) Given z^5 = -32, then find all solutions z using the mthods of

problem 2)

.................Due Date 9-25-2008 .................................

Assignment 4.1, 4.2 & 4.3

Read Sections 4.1, 4.2 & 4.3 in Chapter 4 of text

Section 4.2 Problems 8,9,12 & 15

Section 4.3 Problems 6,8 & 16

due 10-9-2008

---

Assignment 5.1, 5.2 & 5.3

Read Sections 5.1, 5.2 & 5.3 in Chapter 5 of text

Section 5.1 Problems 2,3,4a&f,5,8,9,21,25 & 29

Section 5.2 Problems 1,2,3,6,7 & 10

Section 5.3 Problems 1,2,5,8,16,24,29 & 34

due 10-20-2008

Assignment Read Section 10.1, 10.2 & 10.3

Section 10.1 Problems 1,5,7,12,16 & 33

Section 10.2 Problems 1,3,5,14,16,35 & 36

Section 10.3 Problems 19, 22 & 25

due 10-23-2008

Assignment Read Chapter 7

Section 7.1 Problems 1,7 & 31

Section 7.2 Problems 1,2,3,10,16 & 24

Section 7.4 Problems 1,9,16 & 21

Section 7.5 Problems 3,4,13,22 & 32

due 11-10-2008

Assignment Read Sections 6.1, 6.2, 6.3 & 6.4

Section 6.1 Problems 2,3,5,7,9,18 & 21

Section 6.2 Problems 1,3,6,10,13 & 14

Section 6.3 Problems 1,3 & 10

Section 6.4 Problems 1,2,6 & 8

due 11-17-2008

Submit Lab Report Portfolio

due 11-24-2008

Assignment Read Sextion 11.1 & 11.2

Section 11.1 Problems 1,3,5,7,13,28 & 37

Section 11.2 Problems 1,4,6,12,13,14 & 18

due 12-01-2008

Last Updated 11-12-2008