mathematics

This subject covers units such as trigonometry, algebra, differential calculus, integral calculus and, vectors and 3d geometry

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

Vectors and 3D Geometry covers chapters such as Vector Algebra and Three Dimensional Geometry

Vectors and 3D Geometry

Achieve CUET (UG) Mathematics Practice Book

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

Solving System of Linear Equations using Matrices

Distance Between Two Parallel Lines in 3D

Distance of a Point From a Plane

The Shortest Distance Between Two Skew Lines

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

Properties of Binary Operations

Linear Programming: Diet Problem

Linear Programming Problem: Graphical Method

Linear Programming Transportation Problem

Formulation of a Linear Programming Problem

Binary Operations and Operation Tables

Linear Programming Resource Allocation Problem

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Properties of Determinants (Part 3)

Properties of Determinants (Part 2)

Properties of Determinants (Part 1)

Illustration on Properties of Determinant

Properties of Determinant (Part 4)

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

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

Results Related to Mathematical Expectation

Mean, Variance and S.D. of Random Variable

Probability Distribution of a Random Variable

Random Variable and Probability Distribution

Introduction to Random Variable

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

Angle Between a Line and a Plane

Angle Between Two Planes: Illustration

Angle Between Two Planes

Skew Lines

Line and a Plane

Equation of Plane Making Intercepts on Axes

Equation of a Plane: Illustration

Cartesian Equation of the Plane

Plane and Its Equation

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

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

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

Vector Algebra

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

Differential Equations

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

Relations and Functions

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

Determinants

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

Integrals

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

Inverse Trigonometric Functions

This chapter covers topics, such as Derivative of Functions in Parametric Forms, Differentiability, Continuity, Derivatives of Composite and Implicit Functions, Logarithmic Differentiation, Second Order Derivative, Mean Value Theorem, etc.

Continuity and Differentiability

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

Application of Integrals

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

Matrices

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

Linear Programming

This chapter covers topics, such as Shortest Distance between Two Lines, Coplanarity of Two Lines, Plane, Angle between Two Planes, Equation of a Line in Space, Direction Cosines and Direction Ratios of a Line, Angle between a Line and a Plane, etc.

Three Dimensional Geometry

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

Application of Derivatives

This chapter covers the topic of Probability and its Applications.

Probability

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