Chapter 1

Relations and Functions

Types of Relations

medium • 1 min read

Types of Functions

medium • 2 min read

Composition of Functions and Invertible Function

medium • 3 min read

Binary Operations

medium • 4 min read

Chapter 2

Inverse Trigonometric Functions

Basic Concepts

medium • 1 min read

Properties of Inverse Trigonometric Functions

medium • 2 min read

Chapter 3

Matrices

Matrix

medium • 1 min read

Types of Matrices

medium • 2 min read

Operations on Matrices

medium • 3 min read

Transpose of a Matrix

medium • 4 min read

Symmetric and Skew Symmetric Matrices

medium • 5 min read

Elementary Operation (Transformation) of a Matrix

medium • 6 min read

Invertible Matrices

medium • 7 min read

Chapter 4

Determinants

Determinant

medium • 1 min read

Properties of Determinants

medium • 2 min read

Area of a Triangle

medium • 3 min read

Minors and Cofactors

medium • 4 min read

Adjoint and Inverse of a Matrix

medium • 5 min read

Applications of Determinants and Matrices

medium • 6 min read

Chapter 5

Continuity and Differentiability

Continuity

medium • 1 min read

Differentiability

medium • 2 min read

Exponential and Logarithmic Functions

medium • 3 min read

Logarithmic Differentiation

medium • 4 min read

Derivatives of Functions in Parametric Forms

medium • 5 min read

Second Order Derivative

medium • 6 min read

Mean Value Theorem

medium • 7 min read

Chapter 6

Application of Derivatives

Rate of Change of Quantities

medium • 1 min read

Increasing and Decreasing Functions

medium • 2 min read

Tangents and Normals

medium • 3 min read

Approximations

medium • 4 min read

Maxima and Minima

medium • 5 min read

Chapter 7

Integrals

Integration as an Inverse Process of Differentiation

medium • 1 min read

Methods of Integration

medium • 2 min read

Integrals of Some Particular Functions

medium • 3 min read

Integration by Partial Fractions

medium • 4 min read

Integration by Parts

medium • 5 min read

Definite Integral

medium • 6 min read

Fundamental Theorem of Calculus

medium • 7 min read

Evaluation of Definite Integrals by Substitution

medium • 8 min read

Some Properties of Definite Integrals

medium • 9 min read

Chapter 8

Application of Integrals

Area under Simple Curves

medium • 1 min read

Area between Two Curves

medium • 2 min read

Chapter 9

Differential Equations

Basic Concepts

medium • 1 min read

General and Particular Solutions of a Differential Equation

medium • 2 min read

Formation of a Differential Equation whose General Solution is given

medium • 3 min read

Methods of Solving First degree, First order Differential Equations

medium • 4 min read

Chapter 10

Vector Algebra

Some Basic Concepts

medium • 1 min read

Types of Vectors

medium • 2 min read

Addition of Vectors

medium • 3 min read

Multiplication of a Vector by a Scalar

medium • 4 min read

Product of Two Vectors

medium • 5 min read

Chapter 11

Three Dimensional Geometry

Direction cosines and direction ratios of a line

medium • 1 min read

Equation of a Line in Space

medium • 2 min read

Angle between Two Lines

medium • 3 min read

Shortest distance between two lines

medium • 4 min read

Plane

medium • 5 min read

Coplanarity of Two Lines

medium • 6 min read

Angle between Two Planes

medium • 7 min read

Distance of a Point from a Plane

medium • 8 min read

Angle between a Line and a Plane

medium • 9 min read

Chapter 12

Linear Programming

Linear Programming Problem and its Mathematical Formulation

medium • 1 min read

Different Types of Linear Programming Problems

medium • 2 min read

Chapter 13

Probability

Conditional probability

medium • 1 min read

Multiplication Theorem on Probability

medium • 2 min read

Independent Events

medium • 3 min read

Bayes theorem

medium • 4 min read

Random Variables and its Probability Distributions

medium • 5 min read

Bernoulli Trials and Binomial Distribution

medium • 6 min read