# CBSE CLASS 12 MATHS SYLLABUS

Chapter No | Chapter Name | No of Session (1 Session = 1 Hour) |
---|---|---|

Total Number of Session | 60 | |

Chapter 1 | Relations and Functions | 4 |

Chapter 2 | Inverse Trigonometric Functions | 5 |

Chapter 3 | Matrices | 4 |

Chapter 4 | Determinants | 4 |

Chapter 5 | Continuity and Differentiability | 7 |

Chapter 6 | Application of Derivatives | 4 |

Chapter 7 | Integrals | 7 |

Chapter 8 | Application of Integrals | 4 |

Chapter 9 | Differential Equations | 5 |

Chapter 10 | Vector Algebra | 5 |

Chapter 11 | Three Dimensional Geometry | 4 |

Chapter 12 | Linear Programming | 2 |

Chapter 13 | Probability | 5 |

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## Chapter 1: Relation and Function

You Will Learn About

1.1 Definition of Relation

1.2 Types of Relations

1.3 Reflexive, Symmetric and Transitive Relations

1.4 Definition of Function

1.5 Types of Function

1.6 Composition of Functions

1.7 Inverse of Function

1.8 Binary Operation

## Chapter 2: Inverse Trigonometric Function

You Will Learn About

2.1 Basic Concept of Trigonometry

2.2 Conditions to be Inverse Trigonometric Function

2.3 Domain and Range of Inverse Trigonometric Function

2.4 Properties of Inverse Trigonometric Function

## Chapter 3: Matrices

You Will Learn About

3.1 Introduction of Matrices

3.2 Types of Matrices

3.3 Equality of Matrices

3.4 Mathematical Operations on Matrices

3.5 Properties of Addition of Matrices

3.6 Properties of Scalar Multiplication of Matrices

3.7 Multiplication of Matrices

3.8 Properties of Multiplication of Matrices

3.9 Transpose of Matrices

3.10 Properties of Transpose of Matrices

3.11 Symmetric and Skew-Symmetric Matrices

3.12 Transformation of Matrices

3.13 Invertible Matrices

## Chapter 4: Determinants

You Will Learn About

4.1 Introduction of Determinants

4.2 Expansion of Determinants

4.3 Properties of Determinants

4.4 Area of Triangle in Determinants Form

4.5 Minors and Cofactors

4.6 Adjoint and Inverse of Matrix

4.7 Singular and Non-Singular Matrices

4.8 Application of Determinants and Matrices for Solving System of Linear Equations

## Chapter 5: Continuity and Differentiability

You Will Learn About

5.1 Introduction to Continuity

5.2 Method of Checking a Function to be Continuous

5.3 Algebra of Continuous Function

5.4 Introduction to Differentiability

5.5 Method of Checking a Function to be Differentiable

5.6 Derivative of Composite Function

5.7 Chain Rule of Differentiation

5.8 Derivative of Implicit Function

5.9 Derivative of Inverse Trigonometric Function

5.10 Exponential Function and its Properties and Graph

5.11 Logarithmic Function and its Properties and Graph

5.12 Logarithmic Differentiation

5.13 Derivative of Function in Parametric Forms

5.14 Second Order Derivative

5.15 Roll’s Theorem

5.16 Mean Value Theorem

## Chapter 6: Application of Derivatives

You Will learn About

6.1 Rate of Change of Quantities

6.2 Increasing and Decreasing Function

6.3 Tangent and Normal

6.4 Approximation

6.5 Maxima and Minima

6.6 First Derivative Test

6.7 Second Derivative Test

6.8 Maxima and Minima in Closed Interval

## Chapter 7: Integrals

You Will Learn About

7.1 Integral as the Inverse Process of Differentiation

7.2 Integral Formulas

7.3 Geometrical Meaning of Indefinite Integral

7.4 Properties of Indefinite Integrals

7.5 Comparison Between Differentiation and Integration

7.6 Method of Integration by Substitution

7.7 Method of Integration by Partial Fraction

7.8 Method of Integration by Parts

7.9 Integration Using Trigonometrical Identities

7.10 Integration of Some Particular Function

7.11 Integration of Some Important Function

7.12 Introduction of Definite Integration

7.13 Definite Integration as Limit of a Sum

7.14 Area Function of Definite Integration

7.15 Some Important Properties of Definite Integrals

## Chapter 8: Application of Integrals

You Will Learn About

8.1 Area Under Simple Curve

8.2 Area of Region Bounded by a Curve and a Line

8.3 Area Between Two Curves

## Chapter 9: Differential Equations

You Will Learn About

9.1 Introduction to Differential Equation

9.2 Order of Differential Equation

9.3 Degree of Differential Equation

9.4 General and Particular Solution of Differential Equation

9.5 Formation of Differential Equations

9.6 Method of Solving First Order and First Degree Differential Equation

9.7 Homogeneous Equation of Differential Equation

9.8 Linear Differential Equation

## Chapter 10: Vector Algebra

You Will Learn About

10.1 Introduction to Scalar and Vector

10.2 Direction Cosine

10.3 Types of Vectors

10.4 Addition of Vectors and its Properties

10.5 Multiplication of Vector by Scalar

10.6 Components of Vectors

10.7 Vector Joining Two Points

10.8 Section Formula

10.9 Scalar Product of Two Vectors and its Properties

10.10 Vector Product of Two Vectors and its Properties

10.11 Projection of Vector on a Line

10.12 Area of Parallelogram

## Chapter 11: Three Dimensional (3D) Geometry

You Will Learn About

11.1 Direction Cosine and Direction Ratio of a Line

11.2 Relation Between Direction Cosine of a Line

11.3 Direction Cosine of Line Passing Through Two Points

11.4 Equation of a Line in 3D Space Through a Given Point and Given Parallel Vector

11.5 Equation of a Line in 3D Space Through Two Given Points

11.6 Angle Between Two Lines

11.7 Shortest Distance Between Two Lines

11.8 Distance Between Two Skew Lines

11.9 Distance Between Parallel Lines

11.10 Equation of Plane in Normal Form

11.11 Equation of a Plane Perpendicular to a Given Vector and Passing Through a Given Vector

11.12 Equation of Plane Passing Through Three Given Points

11.13 Intercept Form of Equation of a Line

11.14 Equation of Plane Passing Through Two Given Planes

11.15 Coplanarity of Two Lines

11.16 Angle Between Two Planse

11.17 Distance of a Point from a Plane

11.18 Angle Between a Line and Plane

## Chapter 12: Linear Programming

You Will Learn About

12.1 Introduction to Linear Programming and its Mathematical Formulation

12.2 Mathematical Formulation of the Given Problems

12.3 Objective Function and Constraint

12.4 Graphical Solution of Linear Programming

12.5 Types of Linear Programming Problems

## Chapter 13: Probability

You Will Learn About

13.1 Revision of Probability Studied in Previous Classes

13.2 Conditional Probability and Its Properties

13.2 Multiplication Theorem on Probability

13.3 Independent Events

13.4 Bay;s Theorem

13.5 Total Probability

13.6 Random Variables and Probability Distribution

13.7 Probability Distribution of Random Variables

13.8 Mean of Random Variables

13.9 Variance f Random Variable

13.10 Bernoulli Trials and Binomial Distribution

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