Mathematics

Differential Calculus covers chapters such as Functions, Differentiation, Application of Derivatives and, Limits and Continuity

Differential Calculus

Algebra covers chapters such as Matrices and Mathematical Induction

Algebra

Vectors and 3D Geometry covers chapters such as Addition of Vectors, Product of Vectors, The Plane, Direction Cosines and Direction Ratios and, Three Dimensional Coordinates

Vectors and 3D Geometry

Trigonometry covers chapters such as Inverse Trigonometric Functions, Properties of Triangles, Trigonometric Equations, Hyperbolic Functions and, Trigonometric Ratios and Identities

Trigonometry

Coordinate Geometry covers chapters such as Locus, The Straight Line, Pair of Straight Lines, Transformation of Axes and, Special Points of a Triangle

Coordinate Geometry

Intermediate First Year Mathematics Paper 1B

Intermediate First Year Mathematics Paper 1A

Golden MATHEMATICS CLASS 11

Mathematics Textbook for Class 11

Volume of a Prism Using Scalar Triple Product

Family of Straight Lines: Example

Pair of Lines Parallel to the Pair of Lines

Solving System of Linear Equations using Matrices

Distance of a Point From a Plane

Applications of Section Formula

Section Formula in Three-Dimensional Space

Derivative of Functions in Parametric Form

Derivatives of Exponential and Logarithmic Functions

Finding Inverse by Elementary Transformations

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Vector Addition & Subtraction

Examples of Area of Triangles

Examples of Properties of Triangles

Napier's Analogy

The Projection Formula

Sine Rule

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

Angle Between Two Lines

Conditions for Two Lines to Be Parallel

Convert Degree Into Radian & Radian Into Degree

Relation Between Radian and Degree

Systems for Measurement of Angles

Modulus Function

The Reciprocal Function

Graphs of Linear Real-Valued Functions

Real-Valued Functions

Range of a Function: Illustration

Domain, Co-Domain and Range of a Function

Concept of a Function

Properties of Cartesian Product : Example

Cartesian Product of Sets: Example

Cartesian Product of Two Sets: Illustration

Cartesian Product of Sets

Equality of Ordered Pairs

Ordered Pairs

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

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

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

Second Derivative Test for Maxima and Minima

Critical Points and First Derivative Test

Example of Mean Value Theorem

This chapter covers topics such as Errors and Approximation, Derivative as a Rate of Change, Mean Value Theorems, Maxima and Minima, Increasing and Decreasing Function, Interaction between Two Curves and Tangent and Normal, etc.

Application of Derivatives

This chapter covers topics such as Derivative of a Function, Second Order Derivatives, and Methods of Differentiation.

Differentiation

This chapter covers topics such as Continuity of a Function, Standard Limits, Methods of Evaluation of Limits, and Basics of Limits.

Limits and Continuity

This chapter covers topics such as Angle between Two Planes, and Equation of Plane.

The Plane

This chapter covers topics such as Direction Cosines and Direction Ratios, and Angle between Two Lines in 3D.

Direction Cosines and Direction Ratios

This chapter covers topics such as Special Points of a Triangle in 3D, Basics of 3D Geometry, Locus of a Point in 3D and Distance, and Section Formula in 3D.

Three Dimensional Coordinates

This chapter covers topics such as General Equation of Pair of Lines, Homogeneous Equation of Pair of Lines and Homogenization.

Pair of Straight Lines

This chapter covers topics such as Equation of a Straight Line in Various Forms, Interaction Between Lines, Basics of Straight Line, Family of Lines and Straight Line and a Point.

The Straight Line

This chapter covers the topic of Transformation of Axes.

Transformation of Axes

This chapter covers the topic of Locus of a Point.

Locus

This chapter covers the topic of Special Points of a Triangle.

Special Points of a Triangle

This chapter covers topics such as Half - Angle Formula and Area of a Triangle, Relation between the Sides and Angles of a Triangle, Inradius and Exradii, and Circumradius.

Properties of Triangles

This chapter covers topics such as Basics of Inverse Hyperbolic Functions, Identities of Hyperbolic Functions, Basics of Hyperbolic Functions, and Inverse Hyperbolic Functions in Terms of Logarithm.

Hyperbolic Functions

This chapter covers topics such as Identities of Inverse Trigonometric Functions, Basics of Inverse Trigonometric Functions, and Properties of Inverse Trigonometric Functions.

Inverse Trigonometric Functions

This chapter covers topics such as Methods to Solve Trigonometric Equations, and Solutions of Trigonometric Equations.

Trigonometric Equations

This chapter covers topics such as Basics of Trigonometry, Range of Trigonometric Expressions, Trigonometric Identities for Sum or Difference to Product, Periodic Functions, Trigonometric Identities for Product to Sum or Difference, etc.

Trigonometric Ratios and Identities

This chapter covers topics such as Dot Product of Two Vectors, Plane and a Point, Planes in 3D, Skew Lines, Triple Products, and Cross Product of Two Vectors.

Product of Vectors

This chapter covers topics such as Section Formula in Vector Form, Vector Equations of Line and Plane, Linear Combination of Vectors, Basics of Vectors, Multiplication of a Vector by a Scalar, Types of Vectors, and Addition of Vectors.

This chapter covers topics such as Symmetric and Skew - symmetric Matrices, Basics of Matrices, Properties of Determinants, Adjoint and Inverse of a Matrix, Transpose of a Matrix, Algebra of Matrices, Determinants, and System of Linear Equations.

Matrices

This chapter covers the topic of Principles of Mathematical Induction.

Mathematical Induction

This chapter covers topics such as Classification of Functions, Algebra of Functions, Basics of Functions, Types of Functions, Even and Odd Functions, Ordered Pairs and Inverse Functions, and Theorems.

Functions

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