What are Continuous functions and their properties?

Continuity and Introduction to Differentiability

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