<< 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

so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
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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