Class 12 Maths Index

Class 12 maths index page provided here. It covers all the chapters of class 12 maths syllabus including topics along with their sub-topics. These class 12 maths topics are extremely helpful for the students to prepare for their board exams and also for the different competitive exams like JEE.

It is important for the students to be thorough with all these concepts included in the syllabus. The topics here, are explained at BYJU’S, in such a manner that students get a deeper understanding of the concepts and develop problem-solving abilities. Click on the links given below to learn about the respective topics in details.

Class 12 Maths Chapters

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 and Basic Concepts or Inverse Trigonometric Functions

• 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 to Continuity and Differentiability

• 5.2 Exponential and Logarithmic Functions

• 5.3 Logarithmic Differentiation

• 5.4 Derivatives of Functions in Parametric Forms

• 5.5 Second Order Derivative

• 5.6 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 to Integral Calculus

• 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 to Differential Equations

• 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 to Vectors

• 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 to Linear Programmin

• 12.2 Linear Programming Problem and its Mathematical Formulation

• 12.3 Different Types of Linear Programming Problems

Chapter 13: Probability

• 13.1 Probability 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

How Can BYJU’S Help in Class 12 Maths Preparation?

The lessons covered in the above articles (for which links are provided) are easy to understand and any student can easily understand the fundamentals thoroughly. The lessons even include various examples and practice questions to help the students develop problem-solving abilities which will not only help them during their class 12 board exams but will also help them for competitive exams.

At BYJU’S, students are also provided with free sample papers, question papers, tips, and important question to help them prepare more effectively. Also, register at BYJU’S to check various maths video lessons to be able to visualize and learn the topics more effectively.