Ess.of MathsIFP109.Module1. Part 1

1.

Essensials of Mathematics
Course Code – IFP109
Module I
Topic – Sets(Part I)
Prepared by
Faculty Name Sudhanshu Tripathi
Department of Information Technology
Amity University Tashkent, Uzbekistan
[email protected]
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2.

Table of Content
• Sets
• Types of sets
• Venn diagram
• Cartesian product of two sets
• Set operations
• Cardinality of sets
• Commutative, associative and distributive laws
• De Morgan’s laws
22

3.

Definition and examples
33

4.

Representing sets
44

5.

Important sets
55

6.

Equality of sets
66

7.

Special sets
77

8.

Venn Diagram
88

9.

Subsets
99

10.

Subsets
1010

11.

Subsets
1111

12.

Subsets
1212

13.

Power set
1313

14.

Power set
1414

15.

Cartesian product
1515

16.

Set operations
1616

17.

Set operations
1717

18.

Set operations
1818

19.

Disjoint sets
1919

20.

Cardinality
2020

21.

Cardinality of Cartesian product
2121

22.

Cardinality of the set union
2222

23.

Distributive laws
1. Commutative law: A B B A and
A B B A
2. Associative law:
( A B) C A ( B C )
3. Distributive law:
( A B) C ( A C ) ( A B)
2323

24.

De Morgan’s laws
A B B A
A B B A
( A B) C A ( B C )
( A B) C ( A C ) ( A B)
2424

25.

De Morgan’s laws
2525

26.

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