IITJEE Advance • Mathematics New Syllabus
Module 10: Area & Differential Equations Hub
Master the advanced applications of integral calculus. Explore area calculations for complex curves, and solve ordinary differential equations using rigorous advanced methods.
Topic 1.1 • Area Fundamentals
Area Under Standard Curves: Lines, Parabolas, Ellipses, and Trigonometric Functions
Topic 1.2 • Intersecting Curves
Area Between Two Intersecting Curves, Modulus Functions, and Piecewise Graphs
Topic 2.1 • DE Fundamentals
Order, Degree, and Formation of Ordinary Differential Equations (ODEs)
Topic 2.2 • Separation
Variable Separable Form and Equations Reducible to Separable Form
Topic 3.1 • Homogeneous
Homogeneous Differential Equations and Substitution Method Solutions
Topic 3.2 • Linear Systems
First-Order Linear Differential Equations (LDE) and Integrating Factors (IF)
Topic 4.1 • Advanced Forms
Bernoulli’s Equation, Exact Differential Equations, and Inspection Methods
Topic 4.2 • Applications