Crunching Calculus- An Introduction to Calculus

By Vinayak Singh Oberoi

Mathematics has always been my 'weakness'. By weakness today I mean that I am in love with it. But I literally felt weak in my head also, when I was first introduced to – Calculus!

Practice, practice, and more practice…there is no other way out. But often I felt if only I had a sort of handbook, a type of 'dictionary' (you know what I mean…) that would lay down the important features of the topic in a precise way, one after the other.

I searched the internet and watched many videos on YouTube, and over and above I had one of the best Mathematics teachers in Army Public School, Kolkata: Mrs. M. Kathuria. With her help, I slowly tried to get a hang of this dreaded topic of Calculus.

I am not sure, yet, how much I have succeeded, but I have managed to write this book. It is a brief description, a definition of sorts, of the main structure of the topic.

I hope you guys like it and find it helpful.

All the best!

• Language: English
• Publisher: Vinayak Singh Oberoi
• Release date: Mar 8, 2024
• ISBN: 9798224802920

Vinayak Singh Oberoi

Vinayak Singh Oberoi , a gifted child author hailing from Kolkata, India, was born on May 7, 2006. Known for his enchanting poems, short stories, and songs tailored for young readers, he has ignited imaginations and earned acclaim for his literary talent at a remarkably young age.

Book preview

Preface

Mathematics has always been my ‘weakness’. By weakness today I mean that I am in love with it. But I literally felt weak in my head also, when I was first introduced to – Calculus!

Practice, practice, and more practice...there is no other way out. But often I felt if only I had a sort of handbook, a type of ‘dictionary’ (you know what I mean...) that would lay down the important features of the topic in a precise way, one after the other.

I searched the internet and watched many videos on YouTube, and over and above I had one of the best Mathematics teachers in Army Public School, Kolkata: Mrs. M. Kathuria. With her help, I slowly tried to get a hang of this dreaded topic of Calculus.

I am not sure, yet, how much I have succeeded, but I have managed to write this book. It is a brief description, a definition of sorts, of the main structure of the topic.

I hope you guys like it and find it helpful. All the best!

By Vinayak Singh

Army Public School BMC

Class – 12 Science B Kolkata

2023

Contents Page

Chapter 1: WHAT IS MATHEMATICS AND WHAT IS CALCULUS? 4

Introduction to Mathematics Introducing Calculus

The Essence of Calculus The Impact of Calculus

CHAPTER 2: FOUNDATIONS OF CALCULUS 5

The Concept of a Limit Calculating Derivatives Derivative Notation Applications of Derivatives

CHAPTER 3: THE INTEGRAL: UNCOVERING ACCUMULATION 7

The Concept of Integration Calculating Integrals

Indefinite and Definite Integrals Applications of Integrals