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Discrete Mathematics

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providing well written notes of Discrete Mathematics

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DELHI TECHNOLOGICAL UNIVERSITY
Course
Discrete Mathematics (101)

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SESSION

SETS, FUNCTIONS AND RELATIONS
A REVISION OF BASIC CONCEPTS
BY
DR. AS SHEKHAWAT

, CONTENTS

SETS RELATIONS FUNCTIONS
1. DEFINITION 1. ORDERED PAIR 1. DEFINITION

2. TYPES OF SETS 2. CARTESIAN PRODUCT 2. IMAGE OF A FUNCTION

3. DOMAIN AND RANGE OF A FUNCT
3. VENN DIAGRAM 3. RELATIONS ON SETS
4. SOME SPECIAL FUNCTIONS
4. OPERATION ON SETS 4. DOMAIN AND RANGE
5. KINDS OF FUNCTION
5. ALGEBRA OF SETS 5. DIFFERENT RELATIONS
6. COMPOSITION OF FUNCTIONS
6. INCLUSION AND EXCLUSION
7. PIGEONHOLE PRINCIPLE
PRINCIPLE
8. COUNTABLE AND UNCOUNTABLE S


Dr. Alok Bhargava 10/6/2021

, Session Objectives


Dr. Alok Bhargava 10/6/2021

, SESSION OBJECTIVES -1


1. INTRODUCTION OF SETS 7. EULER-VENN DIAGRAM
8. ALGEBRA OF SETS (I.E. UNION, INTERSECTIO
2. REPRESENTATION OF SETS
DIFFERENCE ETC.)
3. TYPES OF SETS 9. COMPLEMENT OF SET
4. SUBSETS AND PROPER SUBSETS 10. LAWS OF ALGEBRA OF SETS

5. UNIVERSAL SETS 11. DE MORGAN’S LAWS
12. CARDINAL NUMBER OF UNION,
INTERSECTION, DIFFERENCE AND SYMMETRIC
DIFFERENCE OF SETS
Dr. Alok Bhargava 10/6/2021
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Connected book

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Oscar Levin Discrete Mathematics
  • 2018
  • 9781792901690
  • Unknown

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Institution
DELHI TECHNOLOGICAL UNIVERSITY
Course
Discrete Mathematics (101)
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Uploaded on
October 6, 2021
Number of pages
122
Written in
2021/2022
Type
Class notes
Professor(s)
Dr. ass
Contains
All classes

Subjects

  • set
  • relation
  • function
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