IITJEE Mains • Mathematics New Syllabus
Module 01: Sets, Relations & Functions Hub
Master the foundational language of mathematics. Explore set theory, Venn diagrams, Cartesian products, equivalence relations, and the behavior of real-valued functions.
Topic 1.1 • Set Theory I
Sets and their Representation, Empty, Finite, Infinite, and Equal Sets
Topic 1.2 • Set Theory II
Subsets, Subsets of Real Numbers, Universal Set, and the Power Set
Topic 2.1 • Set Algebra
Union, Intersection, Complement, Algebraic Properties, and Venn Diagrams
Topic 2.2 • Products
Cartesian Product of Sets, Ordered Pairs, and Number of Elements in A × B
Topic 3.1 • Relations
Types of Relations: Reflexive, Symmetric, Transitive, and Equivalence Relations
Topic 3.2 • Functions I
Functions as Special Relations, Domain, Codomain, and Range Calculations
Topic 4.1 • Functions II
One-One (Injective), Onto (Surjective), Into, and Bijective Functions
Topic 4.2 • Graphs & Algebra