Set Theory

SET THEORY

Set Theory for CA Foundation, CS Foundation, CMA Foundation, CBSE, ICSE, Class 11-12 (Commerce) courses and Competitive Exams.

Sets

Set, Equivalent Set, Disjoint Set, Super Set, Subset, Complement of set, Power Set, Operations on Sets, Idempotent Laws, Identity Laws,  Commutative Laws, Associative Laws, Distributive Laws, Demorgan’s Laws, Venn Diagram, Ordered Pairs,

Relations & Functions

Cartesian Product of Sets, Relations, Function, Domain, Range, Algebra of Real Functions, Composition of Functions, Invertible Function, Binary Operations

Mathematical Induction

Mathematical Deduction, Mathematical Induction, Principle of Mathematical Induction

Mathematical Reasoning

Mathematical Statement, Simple Statement, Negation of Statement, Compound Statement, Connectives,  Implications, Contrapositive & Converse Statement, Quantifiers, Contradiction