Calculus | Explained in Malayalam

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What are the core concepts behind Calculus? What is the infinity principle? Can we ever reach infinity? How is geometry related to algebra? What is differentiation? What is integration? What is the relationship between differentiation and integration? Can space be divided infinitely? Why should we have a fundamental understanding of math? These are the questions we answer in this video!!!

References

1) 'Infinite Powers' - Book by Steven Strogatz : https://amzn.to/4egX6l9

2) ''Calculus For Dummies"- Book by Mark Ryan : https://amzn.to/43Uzhft

3) 'Calculus Reordered' - Book by David Bressoud : https://amzn.to/3ZIRmL1


00:00:00 - Disclaimer
00:01:02 - Introduction
00:03:11 - You nee to understand 5 concepts before you start calculus
00:04:23 - The Infinity Principle
00:12:56 - The Idea of 'Tends to'
00:21:26 - References
00:23:17 - Some fun facts about Calculus
00:25:24 - The relationship between geometry and algebra
00:32:48 - Combining the first 3 core concepts
00:34:53 - some more interesting calculus facts
00:35:50 - The Idea of The Slope
00:40:28 - The Mathematical representation of slope
00:51:29 - Entering Calculus
00:52:30 - Differentiation
01:06:44 - Integration
01:15:23 - The relationship between integration and differentiation
01:20:34 - A question to check if you have understood the basics of calculus
01:25:05 - Achilles and The Tortoise
01:27:20 - Why you SHOULD know basic math