<< 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 are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
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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