CBSE Class 12 Maths Syllabus

CBSE Class 12 Maths Syllabus

1. Relations and Functions

  • Introduction
  • Types of Relations
  • Types of Functions
  • Composition of Functions and Invertible Function
  • Binary Operations

2. Inverse Trigonometric Functions

  • Introduction
  •  Basic Concepts
  •  Properties of Inverse Trigonometric Functions

3. Matrices

  • Introduction
  • Matrix
  • Types of Matrices
  • Operations on Matrices
  • Transpose of a Matrix
  • Symmetric and Skew Symmetric Matrices
  • Elementary Operation (Transformation) of a Matrix
  • Invertible Matrices

4. Determinants

  • Introduction
  • Determinant
  • Properties of Determinants
  • Area of a Triangle
  • Minors and Cofactors
  • Adjoint and Inverse of a Matrix
  • Applications of Determinants and Matrices

5. Continuity and Differentiability

  • Introduction
  • Continuity
  • Differentiability
  • Exponential and Logarithmic Functions
  • Logarithmic Differentiation
  • Derivatives of Functions in Parametric Forms
  • Second-Order Derivative
  • Mean Value Theorem

6. Application of Derivatives

  • Introduction
  • Rate of Change of Quantities
  • Increasing and Decreasing Functions
  • Tangents and Normals
  • Approximations
  • Maxima and Minima

7. Integrals

  • Introduction
  • Integration as an Inverse Process of Differentiation
  • Methods of Integration
  • Integrals of some Particular Functions
  • Integration by Partial Fractions
  • Integration by Parts
  • Definite Integral
  • Fundamental Theorem of Calculus
  • Evaluation of Definite Integrals by Substitution
  • Some Properties of Definite Integrals

8. Application of Integrals

  • Introduction
  • Area under Simple Curves
  • Area between Two Curves

9. Differential Equations

  • Introduction
  • Basic Concepts
  • General and Particular Solutions of a Differential Equation
  • Formation of a Differential Equation whose General Solution is given
  • Methods of Solving First Order, First Degree Differential Equations

10. Vector Algebra

  • Introduction
  • Some Basic Concepts
  • Types of Vectors
  • Addition of Vectors
  • Multiplication of a Vector by a Scalar
  • Product of Two Vectors

11. Three Dimensional Geometry

  • Introduction
  • Direction Cosines and Direction Ratios of a Line
  • Equation of a Line in Space
  • Angle between Two Lines
  • Shortest Distance between Two Lines
  • Plane
  • Coplanarity of Two Lines
  • Angle between Two Planes
  • Distance of a Point from a Plane
  • Angle between a Line and a Plane

12. Linear Programming

  • Introduction
  • Linear Programming Problem and its Mathematical Formulation
  • Different Types of Linear Programming Problems

13. Probability

  • Introduction
  • Conditional Probability
  • Multiplication Theorem on Probability
  • Independent Events
  • Bayes' Theorem
  • Random Variables and its Probability Distributions
  • Bernoulli Trials and Binomial Distribution

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