<< Chapter < Page Chapter >> Page >
  • Textbook p. 382: 3 b d f
  • Textbook p. 382: 5 a c g e
  • Textbook p. 383: 19 a b
  • Textbook p. 396: 12
  • Textbook p. 396: 13
  • Textbook p. 396: 15
  • Reading Material: Chapter Relation - Exercise 14-17

Unit 20

Task 1: Read the following:

  • Operations on Binary Relations
  • Closures of Binary Relation

These materials can also be found in Textbook 6.1 and 6.4.

Task 2: Do the following exercises: These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

  • Textbook p. 383: 19 a b
  • Textbook p. 383: 21
  • Textbook p. 383: 35
  • Textbook p. 406: 1
  • Textbook p. 406: 3
  • Textbook p. 406: 11 for 5
  • Textbook p. 407: 22
  • Reading Material: Chapter Relation - Exercise 18-22

Unit 21

Task 1: Read the following:

  • Equivalence Relation
  • Order Relation (Partial, Total, and Quasi Orders)

These materials can also be found in Textbook 6.5 and 6.6.

Task 2: Do the following exercises: These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

  • Textbook p. 413: 1 a c e
  • Textbook p. 413: 5 a b
  • Textbook p. 413: 9
  • Textbook p. 413: 11
  • Textbook p. 414: 23
  • Textbook p. 414: 25
  • Textbook p. 414: 31 a b
  • Reading Material: Chapter Relation - Exercise 23-28

Unit 22

Task 1: Read the following:

  • Order Relation (Minimal Element and the rest)

These materials can also be found in Textbook 6.6.

Task 2: Do the following exercises: These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

  • Textbook p. 428: 1
  • Textbook p. 428: 3
  • Textbook p. 428: 5
  • Textbook p. 428: 15 a d
  • Textbook p. 428: 17
  • Textbook p. 429: 27
  • Reading Material: Chapter Relation - Exercise 29-31

Unit 23

Task 1: Read the following:

  • Definitions on Function
  • Growth of Functions

These materials can also be found in Textbook 1.6 and 1.8.

Task 2: Do the following exercises: These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

  • Textbook p. 67: 1
  • Textbook p. 67: 5 a c
  • Textbook p. 67: 10 a b c
  • Textbook p. 67: 11 a b c
  • Textbook p. 67: 15 a b
  • Textbook p. 68: 17 a c
  • Textbook p. 68: 49
  • Textbook p. 90: 1
  • Textbook p. 90: 3
  • Reading Material: Chapter Function - Exercise 3-9

Unit 24

Task 1: Read the following:

  • Growth of Functions (Calculation of Big-Oh Relation)

These materials can also be found in Textbook 1.8.

Task 2: Do the following exercises: These exercises are NOT homework questions. They are for helping you understand the materials of this unit.

  • Textbook p. 90: 5
  • Textbook p. 90: 11
  • Textbook p. 90: 13
  • Textbook p. 90: 15
  • Textbook p. 91: 19 a b
  • Textbook p. 91: 31
  • Reading Material: Chapter Function - Exercise 10-14

Calendar – timetable

Week Units to Study
1 Unit 1,   Unit 2
2 Unit 3,   Unit 4
Submit Homeworks 1, 2
3 Unit 5,   Unit 6
4 Unit 7,   Unit 8
Submit Homeworks 3, 4
5 Unit 9,   Unit 10
6 Unit 11,   Unit 12
Submit Homeworks 5, 6
7 Unit 13,   Unit 14
TEST : Unit 3 - Unit 12 inclusive
8 Unit 15,   Unit 16
Submit Homeworks 7, 8
9 Unit 17,   Unit 18
10 Unit 19,   Unit 20
Submit Homeworks 9, 10
11 Unit 21,   Unit 22
12 Unit 23,   Unit 24
Submit Homeworks 11, 12
EXAM : Unit 3 - Unit 24 inclusive

Readings

  • Course Reading Material
  • Textbook: Kenneth H. Rosen, Discrete Mathematics and Its Applications, 6th edition, McGraw-Hill Science/Engineering/Math, 2006, ISBN 978-0073312712.

Reference

  • Task Force on Computing Curricula. Computing Curricula 2001: Computer Science, Final Report, December 2001. Available at http://www.sigcse.org/cc2001/
  • Discrete Mathematical Structures, 5th edition, by B. Kolman, R.C. Busby, and S.C. Ross, published by Prentice Hall, 2004.
  • Mathematical Structures for Computer Science, 5th edition, by J.L. Gersting, published by Freeman, 2003.
  • Essential Discrete Mathematics for Computer Science, by T. Feil and J. Krone, published by Prentice Hall, 2003.
  • Discrete Mathematics for Computing, by R. Haggerty, published by Addison Wesley, 2002.
  • Discrete Structures, Logic, and Computability, 2nd edition, by J.L. Hein, published by Jones and Bartlett, 2002.
  • Discrete Mathematics for Computer Scientists, by J. Truss, published by Addison Wesley, 1999.
  • Discrete Mathematics with Applications, 3rd edition, by S. Epp, published by Brooks/Cole, 2004.
  • Discrete Mathematics with Proof, by E. Gossett, published by Prentice Hall, 2003.
  • Discrete Mathematics, 5th edition, by K.A. Ross and C.R.B. Wright, published by Prentice Hall, 2003.
  • Discrete Mathematics, 4th edition, by J.A. Dossey, A.D. Otto, L.E. Spence, and C.V. Eynden, published by Addison Wesley, 2002.
  • Mathematics: A Discrete Introduction, by E.R. Scheinerman, published by Brooks/Cole, 2000.
  • Discrete Mathematics, by S. Washburn, T. Marlowe, and C.T. Ryan, published by Addison Wesley, 1999.
  • Discrete Mathematics with Graph Theory, 2nd edition, by E.G. Goodaire and M.M. Parmenter, published by Prentice Hall, 2002.
  • Discrete and Combinatorial Mathematics, 5th edition, by R.P. Grimaldi, published by Addison Wesley, 2004.
  • Discrete Mathematics with Combinatorics, 2nd edition, by J.A. Anderson, published by Prentice Hall, 2004.
  • Discrete Mathematics: Numbers and Beyond, by S. Barnett, published by Addison Wesley, 1998.

Policy on cheating

The instructor will put a great deal of effort into helping students to understand and to learn the material in the course. However, the instructor will not tolerate any form of cheating.

The following behaviour will be regarded as cheating (together with other acts that would normally be regarded as cheating in the broad sense of the term):

  • Copying assignments
  • Allowing another student to copy an assignment from you and present it as their own work
  • Copying from another student during a test or exam
  • Referring to notes, textbooks, etc. during a test or exam
  • Talking during a test or an exam
  • Not sitting at the pre-assigned seat during a test or exam
  • Communicating with another student in any way during a test or exam
  • Having access to the exam/test paper prior to the exam/test
  • Asking a teaching assistant for the answer to a question during an exam/test
  • Presenting another’s work as your own
  • Modifying answers after they have been marked
  • Any other behaviour which attempts unfairly to give you an advantage over other students in the grade-assessment process
  • Refusing to obey the instructions of the officer in charge of an examination.

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Discrete structures. OpenStax CNX. Jan 23, 2008 Download for free at http://cnx.org/content/col10513/1.1
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