Class 12 Maths Syllabus

Byju’s provides CBSE Class 12 Maths Syllabus and NCERT Solutions for Class 12 maths for students in a simple way so that they will find it easy to understands subject topics. Various math related theorems and formulas have been provided in detail.

Students having trouble with tough math problems who wish to score better in their mathematics examinations can refer to our free Class 12 Maths Syllabus and NCERT solutions which give students all that is necessary to prepare for their examinations and solve various math related problems. All that students need to do is go through these CBSE Class 12 Maths Syllabus and NCERT books and solve the questions and exercises given in each chapter. Students can be assured of positive results. NCERT text books can be very helpful for students in achieving maximum marks in their examinations.

Some of the topics Covered include :

  • Relations and Functions
  • Inverse Trigonometric Functions
  • Matrices
  • Determinants
  • Continuity and Differentiability
  • Application of Derivatives
  • Integrals
  • Application of Integrals
  • Differential Equations
  • Vector Algebra
  • Three Dimensional Geometry
  • Linear Programming
  • Probability

CHAPTER 1:Relations and Functions

1.1 Introduction

1.2 Types of Relations

1.3 Types of Functions

1.4 Composition of Functions and Invertible Function

1.5 Binary Operations

CHAPTER 2:Inverse Trigonometric Functions

2.1 Introduction

2.2 Basic Concepts

2.3 Properties of Inverse Trigonometric Functions

CHAPTER 3:Matrices

3.1 Introduction

3.2 Matrix

3.3 Types of Matrices

3.4 Operation on Matrices

3.5 Transpose of a Matrix

3.6 Symmetric and Skew Symmetric Matrices

3.7 Elementary Operation (Transformation) of a Matrix

3.8 Invertible Matrices

CHAPTER 4:Determinants

4.1 Introduction

4.2 Determinant

4.3 Properties of Determinants

4.4 Area of a Triangle

4.5 Minors and Cofactors

4.6 Adjoint and Inverse of a Matrix

4.7 Applications of Determinants and Matrices

CHAPTER 5:Continuity and Differentiability

5.1 Introduction

5.2 Continuity

5.3 Differentiability

5.4 Exponential and Logarithmic Functions

5.5 Logarithmic Differentiation

5.6 Derivatives of Functions in Parametric Forms

5.7 Second Order Derivative

5.8 Mean Value Theorem

CHAPTER 6:Applications of Derivatives

6.1 Introduction

6.2 Rate of Change of Quantities

6.3 Increasing and Decreasing Functions

6.4 Tangents and Normals

6.5 Approximations

6.6 Maxima and Minima

CHAPTER 7:Integrals

7.1 Introduction

7.2 Integration as an Inverse Process of Differentiation

7.3 Methods of Integration

7.4 Integrals of Some Particular Functions

7.5 Integration by Partial Fractions

7.6 Integration by Parts

7.7 Definite Integral

7.8 Fundamental Theorem of Calculus

7.9 Evolution of Definite Integrals by Substitution

7.10 Some Properties of Definite Integrals

CHAPTER 8:Application of Integrals

8.1 Introduction

8.2 Area under Simple Curves

8.3 Area Between Two Curves

CHAPTER 9:Differential Equations

9.1 Introduction

9.2 Basic Concepts

9.3 General and Particular Solutions of a Differential Equation

9.4 Formation of a Differential Equation whose General Solution is given

9.5 Methods of Solving First Order, First Degree Differential Equations

CHAPTER 10:Vector Algebra

10.1 Introduction

10.2 Some Basic Concepts

10.3 Types of Vectors

10.4 Addition of Vectors

10.5 Multiplication of a Vector by a Scalar

10.6 Product of Two Vectors

CHAPTER 11:Three Dimensional Geometry

11.1 Introduction

11.2 Direction Cosines and Direction Ratios of a Line

11.3 Equation of a Line in Space

11.4 Angle between Two Lines

11.5 Short Distance between Two Lines

11.6 Plane

11.7 Coplanarity of Two Lines

11.8 Angle between Two Planes

11.9 Distance of a Point from a Plane

11.10 Angle between a Line and a Plane

CHAPTER 12:Linear Programming

12.1 Introduction

12.2 Linear Programming Problem and its Mathematical Formulation

12.3 Different Types of Linear Programming Problems

CHAPTER 13:Probability

13.1 Introduction

13.2 Conditional Probability

13.3 Multiplication Theorem on Probability

13.4 Independent Events

13.5 Bayes’ Theorem

13.6 Random Variables and its Probability Distributions

13.7 Bernoulli Trials and Binomial Distribution

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Practise This Question

Which is the greatest 5 digit perfect square number?