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

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