<< Chapter < Page Chapter >> Page >

In Chapter 1, we also study sets, relations between sets, and operations on sets. Sets are the basis of every theory in computer science and mathematics.

In Chapter 3, we learn recursive definitions and mathematical reasoning, in particular induction. There are sets, operations and functions that can be defined precisely by recursive definitions. Properties of those recursively defined objects can be established rigorously using proof by induction.

Then in Chapters 6 we study relations. Relations are one of the key concepts in the discussion of many subjects on computer and computation. For example, a database is viewed as a set of relations and database query languages are constructed based on operations on relations and sets. Graphs are also covered briefly here. Graphs are an example of discrete structures and they are one of the most useful models for computer scientists and engineers in solving problems. More in-depth coverage of graphs can be found in Chapter 7.

Finally, back in Chapter 1 again, we briefly study functions. Functions are a special type of relation and basically the same kind of concept as the ones we see in calculus. However, functions are one of the most important concepts in the discussion of many subjects on computer and computation, such as data structures, database, formal languages and automata, and analysis of algorithms, which is briefly covered in Chapter 2.

Instructional sequence

Unit 1

Task 1: Read the following:

  • Introduction to Discrete Structures
  • Problem Solving Framework
  • Problem Solving Example 1

Unit 2

Task 1: Read the following:

  • Problem Solving Examples

Unit 3

Task 1: Read the following:

  • Introduction to Logic
  • What is Proposition
  • Elements of Propositional Logic
  • Truth Table
  • Connectives
  • Construction of Proposition
  • Converse and Contrapositive

These materials can also be found in Textbook 1.1 - 1.2.

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. 11 : 1 all
  • Textbook p. 11 : 3 all
  • Textbook p. 11 : 7 a c e g
  • Textbook p. 12 : 9 b d f h
  • Textbook p. 13 : 19 all
  • Textbook p. 13 : 21 a c e
  • Textbook p. 13 : 23 d f
  • Reading Material: Chapter Logic - Exercise 16-21

Unit 4

Task 1: Read the following:

  • Variations of if_then
  • From English to Proposition

These materials can also be found in Textbook 1.1 - 1.2.

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. 12 : 15 all
  • Textbook p. 12 : 17 all
  • Reading Material: Chapter Logic - Exercise 22-23

Unit 5

Task 1: Read the following:

  • Introduction to Reasoning
  • Identities of Propositions and Dual
  • Example of Use of Identities

These materials can also be found in Textbook 1.1 - 1.2.

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. 19 : 1 a d f
  • Textbook p. 19 : 5
  • Textbook p. 20: 9 b d f
  • Textbook p. 20: 11 a
  • Textbook p. 20: 20 all
  • Textbook p. 20: 25
  • Reading Material: Chapter Logic - Exercise 24-29

Questions & Answers

what is mutation
Janga Reply
what is a cell
Sifune Reply
how is urine form
Sifune
what is antagonism?
mahase Reply
classification of plants, gymnosperm features.
Linsy Reply
what is the features of gymnosperm
Linsy
how many types of solid did we have
Samuel Reply
what is an ionic bond
Samuel
What is Atoms
Daprince Reply
what is fallopian tube
Merolyn
what is bladder
Merolyn
what's bulbourethral gland
Eduek Reply
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
onuoha Reply
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
what is heart
Konadu Reply
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
Pelagie Reply
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
what are pathogens
Don Reply
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ. The term pathogen came into use in the 1880s.[1][2
Zainab
A virus
Commander
Definition of respiration
Muhsin Reply
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
Achiri Reply
in the mouth
EZEKIEL
what are the functions of follicle stimulating harmones?
Rashima Reply
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
what's biology?
Egbodo Reply
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Discrete structures. OpenStax CNX. Jan 23, 2008 Download for free at http://cnx.org/content/col10513/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Discrete structures' conversation and receive update notifications?

Ask