IITJEE Advance • Mathematics New Syllabus
Module 06: Functions & Mappings Hub
Master the core of calculus and algebra. Explore domains, ranges, classification of functions, inverse and composite mappings, and periodic functions.
Topic 1.1 • Function Basics
Definition, Domain, Codomain, and Range of Real-Valued Functions
Topic 1.2 • Standard Functions
Polynomial, Rational, Trigonometric, Exponential, and Logarithmic Functions & Graphs
Topic 2.1 • Piecewise Functions
Modulus, Signum, Greatest Integer (GIF), and Fractional Part Functions
Topic 2.2 • Classification
One-One (Injective), Onto (Surjective), Into, and Bijective Mappings
Topic 3.1 • Composite Functions
Composition of Functions (f o g), Domain/Range of Composites, and Properties
Topic 3.2 • Inverse Functions
Conditions for Invertibility, Finding the Inverse, and Graphs of Inverse Functions
Topic 4.1 • Symmetry & Periodicity
Symmetry (Even/Odd), Periodic Functions, and Finding Fundamental Periods
Topic 4.2 • Functional Equations