IITJEE Advance • Mathematics New Syllabus
Module 01: Quadratics & Complex Numbers Hub
Master the domain of polynomial roots and imaginary numbers. Explore complex algebra, Argand planes, roots of unity, and the rigorous mechanics of quadratic equations and inequalities.
Topic 1.1 • Complex Basics
Algebra of Complex Numbers, Conjugate, Modulus, and Triangle Inequalities
Topic 1.2 • Geometric Interpretation
Argand Plane, Polar Representation, Principal Argument, and Loci in Complex Plane
Topic 2.1 • Advanced Forms
Euler’s Formula, De Moivre’s Theorem, and their Advanced Applications
Topic 2.2 • Roots of Unity
Cube Roots (1, ω, ω²), nth Roots of Unity, and their Geometrical Properties
Topic 3.1 • Quadratic Theory
Quadratic Equations with Real/Complex Coefficients, and Nature of Roots
Topic 3.2 • Roots & Coefficients
Relation between Roots & Coefficients, Symmetric Functions, and Equation Formation
Topic 4.1 • Intersection
Condition for One or Both Common Roots, and Transformation of Equations
Topic 4.2 • Advanced Quadratics