mathematics

This subject covers units such as trigonometry, algebra, coordinate geometry, differential calculus and, integral calculus

Algebra covers chapters such as Matrices, Probability, Determinants, Relations and Functions and, Linear Programming

Algebra

Trigonometry contains chapter Inverse Trigonometric Functions

Trigonometry

Differential Calculus covers chapters such as Application of Derivatives and Continuity and Differentiability

Differential Calculus

Integral Calculus covers chapters such as Differential Equations, Integrals and, Application of Integrals

Integral Calculus

Coordinate Geometry covers chapters such as Vector Algebra and Three Dimensional Geometry

Coordinate Geometry

Mathematics Crash Course (Based on Revised Syllabus - 2023)

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS

MATHEMATICS CLASS XII VOLUME-2

MATHEMATICS CLASS XII VOLUME-1

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12

NCERT Exemplar Mathematics - Class 12

Solving System of Linear Equations using Matrices

Distance Between Two Parallel Lines in 3D

The Shortest Distance Between Two Skew Lines

Derivative of Functions in Parametric Form

Derivatives of Exponential and Logarithmic Functions

Finding Inverse by Elementary Transformations

Equivalence Relations and Equivalence Classes

Linear Programming Problem: Graphical Method

Formulation of a Linear Programming Problem

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Special Types of Matrices

Properties of ITF: Illustration-3

Properties of ITF: Illustration-2

Properties of ITF: Illustration-1

Properties of Inverse Trigonometric Functions

Principal Value of ITF: Illustrations 2

The Inverse of Cot Function

Reflection of a Graph of tanx on the Line y=x

Graph of cos⁻¹ x

Graph of sin⁻¹ x

The Inverse of Sine Function

Inverse Function: Theorem

Inverse Function

One-one and Onto of Composition of Functions

Composite Functions: Illustration

Composition of Functions: Theorem

Composition of Functions

Types of Functions

Bayes' Theorem

The Law of Total Probability

Illustration on Pairwise Independent Events

Independency of More Than Two Events

Illustration on Conditional Probability

Problem on Conditional Probability

Straight Line in 3D: Illustration

Equation of a Line With Two Points

Cartesian Equation of the Line

Direction Cosine and Direction Ratio

Angle Between Two Lines

Equation of a Line in Vector Form

Cross Product

Scalar Product of Vectors: Illustration

Properties of Scalar Product

Scalar Product

The Centroid of a Triangle

Vector Joining Two Points

Multiplication of Vectors by Scalars: Properties

Multiplication of a Vector With a Scalar

Examples on Addition of Vectors

Addition of Vectors

Unit Vector in the Direction of a Given Vector

Unit Vector and Linear Combination of Vectors

Direction Cosine

Position Vector

Definition of Vector and its Magnitude

Linear Differential Equation: Illustration

Homogeneous Differential Equations

Solutions of a Differential Equation: Illustration

Solutions of a Differential Equation

Order and the Degree of Differential Equations

Area Enclosed by a Curve and a Line: Illustration

Area Under Curve: Illustration

Standard Form of Indefinite Integral - 3

Standard Form of Indefinite Integral - 2

Standard Form of Indefinite Integral

Integration by Parts: Illustration

Integration by Parts

Method of Partial Fractions

Proper and Improper Rational Functions

Indefinite Integral Illustration

Integration of Trigonometric Form

Integrals of Different Forms

Integrals With Trigonometric Substitutions

Standard Indefinite Integrals

Indefinite Integrals: Illustration

Properties of Indefinite Integrals

Concept of Integration

Properties of Odd Function in Definite Integral

Properties of Even Function in Definite Integral

Properties of Definite Integral - 4

Properties of Definite Integral - 3

Properties of Definite Integral - 2

Properties of Definite Integral

Integral as Limit of a Sum - Illustration

Limit of Sum

Definite Integral as the Limit of Sum: Proof

Definite Integration as the Limit of a Sum

Increasing Functions

Rate of Change of Function: Example

Application of Derivatives: Illustration

Rate of Change of a Function Illustration

Global Maxima and Minima

Second Derivative Test for Maxima and Minima

Critical Points and First Derivative Test

Higher Order Derivative

Derivative of Composite Functions - Chain Rule

Continuity Theorem

Derivative at a Point

This chapter covers topics, such as, Basic Concepts in Inverse Trigonometric Functions & Properties of Inverse Trigonometric Functions etc.

Inverse Trigonometric Functions

This chapter covers topics, such as, Product of Vectors, Addition of Vectors, Multiplication of a Vector by a Scalar & Basics of Vectors etc.

Vector Algebra

This chapter covers topics, such as, Applications of Differential Equations, General and Particular Solutions of a Differential Equation, Methods of Solving First Order & First Degree Differential Equation etc.

Differential Equations

This chapter covers topics, such as, Types of Relations, Types of Functions, Binary Operations, Composition of Functions & Invertible Functions etc.

Relations and Functions

This chapter covers topics, such as, Symmetric and Skew-symmetric Matrices, Inverse Matrix, Elementary Operation (Transformation) of a Matrix, Operation on Matrices, Basics of Matrices & Types of Matrices etc.

Matrices

This chapter covers topics, such as, Area of a Triangle, Adjoint and Inverse of a Matrix, Determinants, Applications of Determinants and Matrices, Properties of Determinants & Minor and Cofactors etc.

Determinants

This chapter covers topics, such as, Area Under Simple Curves & Area between Two Curves etc.

Application of Integrals

This chapter covers topics, such as, Angle between Two Lines, Angle between a Line and a Plane, Distance of a Point From a Plane & Equation of a Line in Space etc.

Three Dimensional Geometry

This chapter covers topics, such as, Integration by Partial Fractions, Integration by Parts, Definite Integration, Some Properties of Definite Integrals, Methods of Integration & Integration as an Inverse Process of Differentiation etc.

Integrals

This chapter covers topics, such as, Mean Value Theorem, Derivative of Functions in Parametric Forms, Differentiability & Continuity etc.

Continuity and Differentiability

This chapter covers topics, such as, Maxima and Minima, Increasing and Decreasing Function, Rate of Change of Quantities, Approximation & Tangents and Normals etc.

Application of Derivatives

This chapter covers topics, such as, Different Types of Linear Programming Problems & Mathematical Formulation of a Linear Programming Problem etc.

Linear Programming

This chapter covers topics, such as, independent events, bernoulli trials and binomial distribution, Conditional Probability and Multiplication Theorem, Bayes Theorem & Random Variables and its Probability Distributions etc.

Probability

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