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Ess.of MathsIFP109.Module1. Part 1
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Essensials of MathematicsCourse 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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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
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Definition and examples33
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Representing sets44
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Important sets55
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Equality of sets66
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Special sets77
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Venn Diagram88
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Subsets99
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Subsets1010
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Subsets1111
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Subsets1212
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Power set1313
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Power set1414
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Cartesian product1515
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Set operations1616
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Set operations1717
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Set operations1818
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Disjoint sets1919
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Cardinality2020
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Cardinality of Cartesian product2121
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Cardinality of the set union2222
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Distributive laws1. 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)
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De Morgan’s lawsA B B A
A B B A
( A B) C A ( B C )
( A B) C ( A C ) ( A B)
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De Morgan’s laws2525