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• Set Theory

Set Theory: Types of Sets, Unions and Intersections

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Set Theory: Types of Sets, Unions and Intersections

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• Composition of Functions • Congruence Modulo n • Definition of a Function • Definition of a Group • Definition of a Partition • Definition of a Relation • Definition of a Subgroup • Injective Functions • Invertible Functions • Sets • Surjective Functions • Working with Sets

• Algebra 01 - Defining Sets • Algebra 02 - Set Equality and Subsets • Algebra 03 - Venn Diagrams, Unions, and Intersections • Algebra 04 - Complement and Relative Complement • Algebra 05 - Symmetric Difference • Algebra 06 - Interval Notation and the Number Line • Algebra 07 - Bounded versus Unbounded Intervals • Algebra 08 - Unions of Intervals • Algebra 09 - Cartesian Products, Ordered Pairs and Triples

• 01 What is Abstract Algebra? • 02 The definition of a Group • 03 Group Definition (expanded) - Abstract Algebra • 04 Abstract Algebra: Motivation for the definition of a group