Sets, Functions and Groups

COURSE DESCRIPTION

• Operations on sets
• Venn diagram
• Operations on three sets
• Properties of Union and Intersection
• Inductive and deductive logic
  • Aristotelian and non-Aristotelian logics
  • Symbolic logic
• Implication and conditional
  • Biconditional
  • Conditional related with a given conditional
  • Tautologies
  • Quantifiers
• Truth sets, a link between set theory and logic.
• Relations
• Functions
  • Linear and quadratic functions
• Inverse of a function
• Binary operations
  • Properties of binary operations
• Groups
• Solutions of linear equations
• Reversal law of inverses
• All examples, exercises and MCQ’s
• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

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