Basic Mathematics 

Course Introductory Video

Meet Your Peers

Real & complex number system

Argand Plane

Complex conjugate

Algebra of complex numbers

Algebra of complex numbers - Examples

Types of equations

Roots of a quadratic equation by factorization

Roots of a quadratic equation by the formula

Roots of a quadratic equation - Examples

Quadratic equation & roots

Complex Numbers & Quadratic Equations

Complex Numbers

Quadratic Equations

Complex Numbers & Quadratic Equations

Basics of Trigonometry

Trigonometric relations

Basics of Trigonometry: Examples

Trigonometric identities

Trigonometric identities - Examples

Trigonometric identities - Examples

Applications of trigonometry - I

Applications of trigonometry - II

Essential Reading Material – Trigonometry

Essential Reading Material – Applications of trigonometry

Trigonometry

Applications of trigonometry

Trigonometry

Definition of a matrix

Types of matrices

Algebraic operations on matrices

Algebra of matrices – Examples

Inverse of a matrix by ad joint method

Inverse of a matrix – Example 1

System of equations - Introduction

System of equations – Matrix form

Solution of system of equations

Solution of system of equations - Examples

Rank of a matrix

Rank of a matrix - Examples

Essential Reading Material – Matrices

Inverse of a matrix & System of equations

Essential Reading Material – Rank of a matrix and its properties

Introduction and Algebra of Matrices

Inverse of a matrix

System of equations

Rank of a matrix

Matrices

Functions

Types of functions

Definition of Limit

Standard form, standard limits

Indeterminate forms

Limits - Examples

Continuity Definition

Continuity - Examples

Differentiability

Derivative of standard functions

Derivative of standard functions - Example

Derivatives - Properties

Mean Value Theorem

Applications of derivatives - Examples

Applications of derivatives - Maximum and Minimum of a Function

Applications of derivatives – First Derivative Test

Applications of derivatives – Second Derivative Test

Essential Reading Material – Relations and Functions, Limits and Derivatives, Continuity and Differentiability

Essential Reading Material – Differentiation - Properties and Formulae

Essential Reading Material – Application of derivatives

Limits and Continuity

Differentiation

Applications of derivatives

Differential Calculus with applications

Integral of a function

Properties

Methods of Integration - 1

Methods of Integration - 2

Product rule

Definite integrals

Applications of integration – Examples

Applications of integration - Examples

Essential Reading Material – Integrals – Formulae and examples

Essential Reading Material – Application of integrals

Integration

Applications of integration

Integral Calculus with Applications

Types of Differential equations

Order and degree of a differential equation

First order and first-degree differential equations – Variables separable

Homogeneous differential equations

Non homogeneous differential equations

Exact and non – exact differential equation

First order linear differential equations

Types of differential equations & Solution of first order and first-degree differential equations

Course Completion Acknowledgement

Types of differential equations

Solution of first order and first-degree differential equations

Ordinary Differential Equations