mathematics

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

Algebra covers chapters such as Matrices, Binomial Distribution, Probability Distribution, Linear Programming and, Mathematical Logic

Algebra

Trigonometry contains chapter Trigonometric Functions

Trigonometry

Coordinate Geometry covers chapters such as Vectors, Pair of Straight Lines and, Line and Plane

Coordinate Geometry

Differential Calculus covers chapters such as Differentiation and Applications of Derivatives

Differential Calculus

Integral Calculus covers chapters such as Integration, Differential Equations, Definite Integral and, Applications of Definite Integral

Integral Calculus

Mathematics Crash Course (Based on Revised Syllabus - 2023)

Mathematics & Statistics (Arts & Science) Part 2 Standard 12

Mathematics & Statistics (Arts & Science) Part 1 Standard 12

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

Volume of a Prism Using Scalar Triple Product

Pair of Lines Parallel to the Pair of Lines

Application of Vectors in Geometry: Illustration

Solving System of Linear Equations using Matrices

Biconditional Statements and Their Negations

Linear Programming: Manufacturing Problem

Derivative of Functions in Parametric Form

Derivatives of Exponential and Logarithmic Functions

Formation of Differential Equations

Finding Inverse by Elementary Transformations

Elementary Operations or Transformations of a Matrix

Linear Programming: Diet Problem

Linear Programming Problem: Graphical Method

Linear Programming Transportation Problem

Formulation of a Linear Programming Problem

Linear Programming Resource Allocation Problem

Examples of Area of Triangles

Napier's Analogy

The Projection Formula

Cosine Rule

Sine Rule

Properties of ITF: Illustration-3

Properties of ITF: Illustration-2

Properties of ITF: Illustration-1

Properties of Inverse Trigonometric Functions

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

Illustration on Binomial Distribution

Binomial Distribution Problem

Example on Binomial Distribution

Bernoulli Trials and Binomial Distribution

Probability Distribution: Illustration

Probability Distribution: Example

Illustration on Probability Distribution

Probability Distribution of a Random Variable

Random Variable and Probability Distribution

Introduction to Random Variable

Angle Between a Line and a Plane

Angle Between Two Planes: Illustration

Angle Between Two Planes

Line and a Plane

Equation of a Plane: Illustration

Cartesian Equation of the Plane

Plane and Its Equation

Straight Line in 3D: Illustration

Direction Cosine and Direction Ratio

Angle Between Two Lines

Cross Product

Scalar Product of Vectors: Illustration

Properties of Scalar Product

Scalar Product

The Centroid of a Triangle

Vector Joining Two Points

Addition of Vectors

Unit Vector in the Direction of a Given Vector

Unit Vector and Linear Combination of Vectors

Position Vector

Definition of Vector and its Magnitude

Application of Differential Equations: Illustration

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

Integration of Trigonometric Form

Integrals of Different Forms

Integrals With Trigonometric Substitutions

Indefinite Integrals: Illustration

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

Approximation

Equation of a Tangent: Illustration

Slope of Tangent at a Point

Global Maxima and Minima

This chapter explains the area under the curve, area bounded by the curve, axis and given lines, and area bounded by two curves. The volume of solid of revolution, volume of solid obtained by revolving the area under the curve is also discussed here.

Application of Definite Integration

This chapter covers topics, such as, Tangent and Normal,Derivative as a Rate Measure,Approximations,Rolle's Theorem,Increasing and Decreasing Functions etc.

Applications of Derivatives

This chapter covers topics, such as, Bernoulli Trial and Binomial Distribution etc.

Binomial Distribution

In this chapter, we will learn to find the probability distribution of a random variable with the mean and variance of a random variable through many illustrative examples.

Probability Distributions

This chapter covers topics, such as, Basics of Differential Equation,Order and Degree of a Differential Equation,Formation of a Differential Equation,Solution of a Differential Equation,Methods of Solving of a Differential Equation etc.

Differential Equations

The chapter introduces the concept of definite integrals and states that they have unique values. It is introduced as the limit of a sum. If it has an anti-derivative in the interval, its value is the difference between the values at the endpoints.

Definite Integration

This chapter introduces the method of integration. It covers concepts such as substitution method, indefinite integration, integration by parts, integration by partial fraction-factors, definite integrals, and definite integral as a limit of a sum.

Indefinite Integration

This chapter covers topics, such as, Derivative of Composite Functions,Derivative of Inverse Functions,Logarithmic Differentiation,Derivative of Implicit Functions,Derivative of Parametric Functions etc.

Differentiation

This chapter covers topics, such as, Areas in Which LPP can be Applied,Mathematical Formulation of a LLP Problems,Method of Solving LPP etc.

Linear Programming

This chapter covers topics, such as, Collinearity and Coplanarity,Section Formula,Scalar TripIe Product,Applications of Vectors to Geometry,Direction Angles, Cosines and Direction Ratios etc.

Vectors

This chapter covers topics, such as, Combined Equation of Two line,Homogeneous Equation of Second degree,Angle between Lines,General Second Degree Equations in Two Variables etc.

Pair of Straight Lines

This chapter covers topics, such as, Trigonometric Equations and the Solution,Solution of a Triangle till Projection Rule,Half Angle Formula till Napier's Analogy,Inverse Trigonometric Function and their Graphs,Properties of Inverse Trigonometric Functions etc.

Trigonometric Functions

This chapter covers topics, such as, Elementary Transformation,Inverse of a Matrix,Application of Matrices etc.

Matrices

This chapter covers topics, such as, Statement,Logic Connectives, Compound Statement, Truth Table,Statements patterns and Logical Equivalence,Quantifiers and Quantified Statements,Duality etc.

Mathematical Logic

This chapter covers topics, such as, Vector equation of a Line and Related Concepts,Equation of a Plane and Related Concepts etc.

Line and Plane

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