Week 4

Chapters (Discrete Mathematics and Its Applications):

• 2.1 Sets
  • 2.1.1 Introduction
  • 2.1.2 Venn Diagrams
  • 2.1.3 Subsets
  • 2.1.4 The Size of a Set
  • 2.1.5 Power Sets
  • 2.1.6 Cartesian Products
• 2.2 Set Operations
  • 2.2.1 Introduction
  • 2.2.2 Set Identities
  • 2.2.3 Generalized Unions and Intersections

Videos:

• TrevTutor
  • Introduction to Set Theory
  • Subsets and Power Sets
  • Cartesian Products and Ordered Pairs
  • Set Operations
  • Proof in Set Theory
  • Proof in Cartesian Products

• Neso Academy
  • Set Theory (Basics of Sets)
  • Set Representation
  • Inclusion and Equality
  • Inclusion vs. Membership
  • Inclusion vs. Membership (Solved Problem)
  • Types of Sets - Universal, Null, and Singleton
  • Null Set (Solved Problem)
  • Non-Empty Set (Important Theorem)
  • Power Set
  • Cardinality of Sets
  • Cartesian Product
  • Set Operations
    • Intersection & Union with Venn Diagram
    • Set Difference and Set Complement
    • Solved Problems
  • Set Identities
    • (Part 1)
    • (Part 2)
    • (Part 3)

Exercises:

• TrevTutor
  • Subsets and Power Sets
  • Sets and Subsets
  • Set Operations
  • Power Set Proof

• Neso Academy
  • Power Set (Solved Problems)
  • Power Set (GATE Problem 1)
  • Power Set (GATE Problem 2)
  • Set Operations (Solved Problem 1)
  • Set Operations (Solved Problem 2)
  • Set Operations (GATE Problems)
  • Set Operations (GATE and TIFR Problem)