Mathematics

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

Algebra

Trigonometry contains chapter Inverse Trigonometric Functions

Trigonometry

Differential Calculus covers chapters such as Differentiation, Maxima and Minima, Continuity of a Function, Limit of a Function, Tangent and Normal, Function of a Real Variable and, Physical Interpretation of Derivative

Differential Calculus

Integral Calculus covers chapters such as Differential Equation, Definite Integral, Indefinite Integral and, Area Under a Curve

Integral Calculus

Vector and 3D Geometry covers chapters such as Vectors, The Plane and, Straight Line in Three Dimension

Vector and 3D Geometry

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Solving System of Linear Equations using Matrices

Distance of a Point From a Plane

Applications of Section Formula

Section Formula in Three-Dimensional Space

The Shortest Distance Between Two Skew Lines

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

Equivalence Relations and Equivalence Classes

Linear Programming: Diet Problem

Linear Programming Problem: Graphical Method

Relations

Linear Programming Transportation Problem

Formulation of a Linear Programming Problem

Linear Programming Resource Allocation Problem

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Exponents & Logarithms

Logarithm: Characteristic and Mantissa

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

The Reciprocal Function

Concept of a 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

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

Scalar Product of Vectors: Illustration

Properties of Scalar Product

Scalar Product

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

This chapter covers topics such as Probability Distribution of a Random Variate, Conditional Probability, Bayes' Theorem, and Binomial Distribution.

Probability

This chapter covers topics such as Different Types of Linear Programming Problems and Solution of Linear Programming Problems.

Linear Programming Problems

This chapter covers topics such as Equation of Plane, Interaction between Line and Plane, Interaction between Planes, and Plane and a Point.

The Plane

This chapter covers topics such as Equation of Straight Lines in Space, Skew Lines, Direction Cosines and Direction Ratios, and Angle between Two Straight Lines.

Straight Line in Three Dimension

This chapter covers topics such as Basics of Vectors, Section Formula in 3D, Multiplication of a Vector by a Scalar, Product of Vectors & Addition and Subtraction of Vectors.

Vectors

This chapter covers topics such as Basics of Differential Equation, Solutions of Differential Equation, Formation of Differential Equation, Methods of Solving Differential Equations, and Applications of Differential Equations.

Differential Equation

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

Area Under a Curve

This chapter covers topics such as Maxima and Minima, Application of Maxima and Minima, and Increasing and Decreasing Function.

Maxima and Minima

This chapter covers the topic of Tangent and Normal.

Tangent and Normal

This chapter covers topics such as Errors and Approximation and Rate of Change of Quantities.

Physical Interpretation of Derivative

This chapter covers topics such as Introduction to Definite Integral, Fundamental Theorem of Integral Calculus, and Properties of Definite Integrals.

Definite Integral

This chapter covers topics such as Methods of Integration by Substitution, Integration as Antiderivative, Basic Properties of Indefinite Integral, Methods of Integration by Parts, Integrals of Special Trigonometric Functions, etc.

Indefinite Integral

This chapter covers the topic of Mean Value Theorems.

Rolle's Theorem and Lagrange's Mean Value Theorem

This chapter covers topics such as Differentiability of a Function, Derivatives of Composite and Implicit Functions, Logarithmic Differentiation, Derivative of Functions in Parametric Forms, etc.

Differentiation

This chapter covers topics such as Continuity of a Function and Properties of Continuous Function.

Continuity of a Function

This chapter covers topics such as Limit of Function and Limits Involving Infinity.

Limit of a Function

This chapter covers topics such as Transcendental Function, Line Test, and Inverse Function.

Function of a Real Variable

This chapter covers topics such as Symmetric and Skew-Symmetric Matrices, Basics of Matrices, Types of Matrices, Properties of Determinants, Inverse of a Square Matrix, Adjoint of a Matrix, Transpose of a Matrix, Operation on Matrices, etc.

Matrices and Determinants

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

Inverse Trigonometric Functions

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

Relations and Functions

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