## Complete Calculus Textbook

In the past few years, we have been working with different calculus textbooks. All textbooks are good except that none of them is the textbook we would like to work with. As a result, we had to start to write one.

The calculus textbook presented on this page is not entirely our own creation although major parts of it are. The textbook is a mix of the following sources:

- NCERT basic mathematics textbooks
- NCERT Calculus textbooks
- James Stewart Calculus textbook
- Additional material from Great IT Courses

What we have mainly done in this textbook is that we have brought together the above-mentioned material together in such a way that calculus can be understood. It is a mixture of formal definitions and sometimes informal discussions.

The textbook is currently being written and based on how it has turned out so far, it is expected to be rather large. The main objective of this textbook is to help the reader grasp the material and to that end, whatever needs to be done will be done in different parts of the text, even if that means that we will end up with a large book.

We started writing the book not from the very beginning of the the book for various reasons. As a result, the book (currently) starts from the concept of limit which means that functions have been left out from the beginning. Functions will be added in the future as well hopefully.

For the two parts limits and continuity, we have not discussed any exercises nor have we provided any exercises. Those will be provided as well if that happens to be necessary in the future.

This means that, if you have a good understanding of functions, you can start reading the book as it has been presented in the same order it has been presented right now.

This book has never been checked by anyone for errors. If you believe that we have made any mistakes, please contact us so that we can make an errata list.

The parts of the book that have been produced so far are listed below in the order they are supposed to be read, assuming that you are learning calculus for the first time. If you already know any of the topics presented below, you can always skip them as you wish.

The parts that happen to contain a large amount of material like the derivative have been broken down to smaller parts so that the list can be updated as often as possible.

- Learning Calculus - pdf document
- Calculus Prerequisites - pdf document
- Nature of Calculus - pdf document
- Relations and Functions Basic - Download 1.66GB - Course Code 7s25 - 4/27/22
- Relations and Functions Advanced - Download 7.58GB - Course Code 7s26 - 4/27/22
- James Stewart Functions 1.1 - pdf document
- To complete chapter 1, we will write up the text related to sections 1.2 through 1.6. The Exercies related to these sections have already been solvd in courses 12s1 and 12s2.
- Limits
- Continuity
- Derivative - Part 1
- Derivative - Part 2
- Derivative - Part 3
- Derivative - Part 4
- Course Code 12s8 (Exercises related to part 4) 5/13/2022 - To obtain course, please contact.
- Derivative - Part 5
- Exercies 3.2 (Related to Previous Part) - Course code 12s9
- Publication p7s3 - James Stewart Calculus Section 3.3
- Exercies 3.3 (Related to Previous Part) - Course code 12s10
- Publication p7s4 - James Stewart Calculus Section 3.4
- Course 12s11 - James Stewart Calculus Section 3.4 Exercises
- Publication p7s5 - James Stewart Calculus Section 3.5
- Course 12s12 - James Stewart Calculus Section 3.5 Exercises
- Publication p7s6 - James Stewart Calculus Section 3.6
- Course 12s13 - James Stewart Calculus Section 3.6 - Theory and Exercises
- Course 12s14 - James Stewart Calculus Section 3.7 - Theory and Exercises