Calculus has always been a problem among most students. Most students do not like calculus although it is a very beautiful and useful part of mathematics. The problem is that whatever you don't understand, usually you do not like it.
Given the current state of our education systems around the world, even if you are a professor of mathematics, you need at least a decade or so to start to like calculus. So it would not be surprising if you would not like calculus as a student.
Basically, calculus, in its very essential and basic form, is nothing but the four basic operations presented very elegantly and nothing more. Therefore, if you have not really learned your basic mathematics, starting from class 1, you are not likely to understand calculus later on.
And, almost 95% of us will not learn mathematics in school in such a way that it can be used properly later on for calculus. This happens simply because of the current structure of the school system and the students themselves. This is a problem that cannot be avoided, given the current state of human evolution.
In fact, when calculus was built a few centuries ago, it was built by very prominent mathematicians, by people who had a very deep understanding of mathematics. Even when it had already been invented and formulate by Issac Newton and a few more people back at the time, it still took the mathematical society over a hundered years to understand it properly.
Therefore, given the state of the world's educational systems, it is no wonder that most students do not understand it. It is simply normal.
The solution is simple. You need to go back to the roots of your mathematics and "learn" everything that needs to be learned. Please note that we are using the word "learn" here and not memorize. What happens in most best schools around the world is memorization and not learning. Our courses are designed to help you with this problem.
Our calculus course seires consists of two main parts:
Everything needed from your basic mathematics (class 1 all the way up to class 10 or 11)
A complete calculus course like everything needed from a James Stewart calculus textbook
Over the years, we have tried and and test almost all resources there are for teaching mathematics.
In our experience, the best resource you can find to learn basic mathematics is the NCERT mathematics textbooks. We will use the same in our course series.
For the calculus part, there are many textbooks, like the James Stewart textbook, the Spivak Calculus textbook, etc. They are all good but none can be used for the complete calculus part. The problem with these books (all the standrard, famous calculus textbooks you can find in the market) is that they generally have done a few chapters right and then the rest of the chapters are either not good enough or missing. Therefore, we will mix and match to build one good trustable system out of all the resources we have at our disposal.
Our course curriculum consists of two part, the basic mathematics part and the calculus part. All published courses related to any of the aforementioned parts will appear below.
For the basic mathematics part, we have started our courses from class 1 of the NCERT series of mathematics books (the official educational system in India). These courses will be continued all the way up to class 12. Everything relevant to calculus will be part of these courses. The published courses will appear below:
NCERT Classes 1 to 5
For the calculus part of these courses, we will build our own book based on all the available material that can be found in the world, like the James Stewart textbooks.