Discrete structures course information

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• 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

• 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

• 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

• 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

• 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

• 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

• 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 Structures, Logic, and Computability, 2nd edition, by J.L. Hein, published by Jones and Bartlett, 2002.
• 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 with Graph Theory, 2nd edition, by E.G. Goodaire and M.M. Parmenter, published by Prentice Hall, 2002.
• Discrete Mathematics with Combinatorics, 2nd edition, by J.A. Anderson, published by Prentice Hall, 2004.

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
• 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.

how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Do somebody tell me a best nano engineering book for beginners?
what is fullerene does it is used to make bukky balls
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
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?
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 ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
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
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
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.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
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
how did you get the value of 2000N.What calculations are needed to arrive at it
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