Class 12 Maths: Chapters & Topics

Part-I

• Chapter 1: Relations and Functions [ Full NCERT]
  • Introduction
  • Types of Relations
  • Types of Functions
  • Composition of Functions and Invertible Function
• Chapter 2: Inverse Trigonometric Functions [Full NCERT]
  • Introduction
  • Basic concepts
  • Properties of Inverse Trigonometric Functions
• Chapter 3: Matrices [Full NCERT]
  • Introduction
  • Matrices
  • Types of matrices
  • Matrix operations
  • Transpose of a Matrices
  • Symmetric and Skew Symmetric Matrices
  • Invertable Matrices
• Chapter 4: Determinants [Full NCERT]
  • Introduction
  • Area of triangle
  • Determinants
  • Minors and Cofactors
  • Adjoint and Inverse of a Matrix
  • Applications of Determinants and Matrices
• Chapter 5: Continuity and Differentiability [Full NCERT]
  • Introduction
  • Continuity
  • Differentiability
  • Exponential and Logarithmic Functions
  • Logarithmic Differentiation
  • Derivatives of Functions in Parametric Forms
  • Second Order Derivative
• Chapter 6: Application of Derivatives [Full NCERT]
  • Rate of change
  • Increasing/decreasing functions
  • Maxima and minima

Part-II

• Chapter 7: Integrals [Full NCERT]
  • Introduction
  • Integration as an Inverse Process of Differentiation
  • Methods of Integration
  • Integrals of Some Particular Functions
  • Intgration by Partial Functions
  • Integration of Parts
  • Define Integral
  • Fundamental Theorem of Calculus
  • Evaluation of Definite Integrals by Substitution
  • Some Properties of Definite Integrals
• Chapter 8: Application of Integrals [Full NCERT]
  • Introduction
  • Area under simple curves
• Chapter 9: Differential Equations [Full NCERT]
  • Introduction
  • Basic Concepts
  • General and Particular Solutions of a Differential Equation
  • Methods of Solving First Order, First Degree Differential Equations
• Chapter 10: Vectors [Full NCERT]
  • Introduction
  • Some Basic Concepts
  • Types of Vectors
  • Addition of Vectors
  • Multiplication of a Vector by a Scalar
  • Product of Two Vectors
• Chapter 11: Three Dimensional Geometry [Full NCERT]
  • Introduction
  • Direction Cosines and Direction Ratios of a Line
  • Equation of a Line in Space
  • Angle between Two Lines
  • Shortest Distance Between Two Lines
• Chapter 12: Linear Programming [Full NCERT]
  • Introduction
  • Linear Programming Problem and its Mathematical Formulation
• Chapter 13: Probability [Full NCERT]
  • Introduction
  • Conditional probability
  • Independent events
  • Bayes' theorem