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Introduction to Continuity and Differentiability
Rating: 4.2 out of 5(8 ratings)
2,675 students

Introduction to Continuity and Differentiability

Continuity and Introduction to Differentiability-Calculus 1
Created bySuman Mathews
Last updated 4/2026
English

What you'll learn

  • Introduction to Continuity and Derivatives
  • Problems on Continuity
  • Derivative using the definition
  • Problems on calculating derivative
  • Learn basic problem solving in limits

Course content

9 sections11 lectures1h 3m total length
  • Introduction2:32

    Introduce continuity at points and intervals, and study left and right limits. Define derivatives via limits, explore the chain rule for composite functions, and learn basic derivatives.

Requirements

  • Basic knowledge of Mathematics

Description

I am Suman Mathews, Mathematics teacher and content developer. Having taught Math for over three decades at the college and high school level, I have tried to make the concepts explained in these lessons interesting and useful.

So let's get started with the basics of Calculus.


This course is a your first step to understanding Differential Calculus.

The course starts with

  1. An introductory video which also includes all the formulas learnt in this session.

  2. The concept of Continuity at a point and continuity in an interval.

  3. You will learn how to calculate the left hand and right hand limits for continuity .

  4. The concept of derivative at point using limits is illustrated.

  5. You will learn how to calculate the derivative using definition.

  6. You will then learn how to differentiate using the formula.

  7. The course concludes with how to calculate the derivative of composite functions and using the Chain Rule.

Access practice tests and check your understanding.

You'll also learn how to calculate the order and degree of a differential equation.

There is also an assignment at the end. 

To maximise your learning, practice each problem along with me. Wishing you a fruitful journey in Calculus.

Stay tuned in for part 2 of this course

Who this course is for:

  • Students wishing to pursue their study of Calculus.