I know a lot of you guys out there shy away from this subject. It’s Mathematics, after all. So on request, I’m going to help out a bit!
Let’s start chapter-wise. Shall we? I’m going to recommend the best books to use for each chapter and add links to the notes that I made while studying the same last year. And wait! Before we begin, I know you are thinking its cliche to say so, but practice and practise more. It will really help you get the hang of this subject and improve your speed.
If you want to see my notes on other subjects, check out “CBSE: Been There, Done That”.
Matrices and Determinants:
This is an easy one, right? Pretty scoring if you complete every question from NCERT and for extra practice, I’d suggest you use either RD Sharma or RS Agarwal. Here’s a link to my notes that you can use for the chapters.
- Notes : Matrices and Determinants
- I faced some difficulty in questions related to solving ‘Determinants Using Properties’. For those types of questions, the best method to solve the problems is to jot down all the patterns you come across till you get the hang of it.
I’ve always found differentiation slightly easier than integration. I’d recommend that you study the entire of calculus from RD Sharma Volume 1 and use NCERT only once you have completed all ‘example questions’ from RD Sharma. Differentiation has been divided into several units as listed below.
Here are the links to all the notes. But it is important you go through the concepts and get an understanding of the big picture since the notes are only a quick summary of each chapter.
- Continuity and Differentiability
- Differentiation (including Higher Order Derivatives)
- Derivative as a Rate Measure
- Errors and Approximations
- Mean Value Theorems
- Tangents and Normals
- Increasing and Decreasing Functions
- Maxima and Minima
It took me quite a few failed attempts to master integration problems. In time though, I was able to solve almost every question thrown my way.
- So here’s the thing. To solve an integration question, you need to acquire the skill or the intuition to ‘look at a problem’ and know what ‘category’ that problem falls into. To do this, you must memorise the general formats of several different types of questions and the corresponding ways to starting steps to solving them. Once you are on the right track, the rest of the steps will generally come naturally.
- Notes: Integration Problem Types (PS: My notes are a very concise summary of the RD Sharma Integration chapter. Use these notes to revise all the types but study each type along with its examples from RD Sharma to understand them)
Once you get the hang of Integration, Area of bounded regions and Differential Equation chapters are generally extremely easy to conquer.
A pretty easy one again. Use NCERT or RD Sharma for this one and practise all questions.
- Notes : Vectors Notes
Three Dimensional Geometry (Straight Lines and Planes):
For organisation’s sake, this chapter is divided into three parts. Questions on straight lines alone, questions on planes, questions involving both lines and planes. Choose either RD Sharma or RS Agarwal to solve problems because they hac=ve categorised similar problems together for better understanding.
- Memorise all the important formulae for this chapter. (Find them here)
- Go through the concepts and try to visualise or draw the planes and graphs when reading questions. (Desmos is a really helpful graph plotting tool)
So that’s that! Those are all the main chapters. Leave comments and let me know what you thought and if you think you need notes on other chapters. Cheers!