This post will be about calculus- considered to be the toughest topic in Mathematics. I'll be covering what all must be taken care of while doing it, and the best books to be followed. Remember that calculus, and Mathematics in general is a deciding factor in JEE(Advanced). Physics and Chemistry can be done easily by a student who has studied well in 11th and 12th. Mathematics needs lots of patience and practice, and critical thinking skills.
If you are in 11th, then pay special attention to Mathematics, because it is the most important, if you aim for a top rank(but don't ignore other subjects). If in 12th or dropping, don't worry, you still have a lot of time.
So, topicwise discussion-
1. Functions- Well, since Mathematics is more about practice, all I can say is to practice a lot. Still, in this chapter, make sure you know the definitions well. Make sure that you know the graphs of various functions, and know how to plot graphs and solve equations.
2. Differentiation-Relatively easy. Lots of formulae, but they are used so often that you easily become used to them. Revise the formulae for standard derivatives and rules to remember them well. Application of Derivative part is really very important. It is linked with Coordinate Geometry and so carries even more importance. Practice all kinds of questions well. Another important type of questions involves using Rolle's and Lagrange's theorems. They are tricky, and understanding the derivation well helps.
3. Integration- This is easily the toughest chapter in JEE mathematics. It involves all chapters of mathematics- Trigonometry, Coordinate Geometry, Algebra, etc. So, first things first-rememeber all the formulae pretty well. Be regular from day 1. Most students don't learn formulae well, and as a result, they feel that their Maths is weak. It is not the case. There are perhaps 50-100 formulae in Integration, and you must learn them all. Practice helps in this. Another thing is strategies. There are lots of problem-solving strategies in this chapter, and revise them regularly. Then comes practice. Tough things become easy only through practice. Use your coaching material and revise well using these books.
BOOKS
The best book for Calculus is one issued by coaching centres. They are quite comprehensive and have all the concepts, and all types of questions. I used Resonance material and found it pretty good. You can use it too(if you are studying on your own)-
Coming to books for extra practice, you should definitely go for Arihant. I used it and found it pretty awesome. Apart from these, I don't think any other book is required. Foreign author books aren't useful for JEE. Do past papers as mentioned in the books post.
Do let me know if you have any doubts in the comments section.
All the best!!!
Also see: Algebra, Trigonometry, Coordinate Geometry, Vectors and 3D, Best Books for JEE
If you are in 11th, then pay special attention to Mathematics, because it is the most important, if you aim for a top rank(but don't ignore other subjects). If in 12th or dropping, don't worry, you still have a lot of time.
So, topicwise discussion-
1. Functions- Well, since Mathematics is more about practice, all I can say is to practice a lot. Still, in this chapter, make sure you know the definitions well. Make sure that you know the graphs of various functions, and know how to plot graphs and solve equations.
2. Differentiation-Relatively easy. Lots of formulae, but they are used so often that you easily become used to them. Revise the formulae for standard derivatives and rules to remember them well. Application of Derivative part is really very important. It is linked with Coordinate Geometry and so carries even more importance. Practice all kinds of questions well. Another important type of questions involves using Rolle's and Lagrange's theorems. They are tricky, and understanding the derivation well helps.
3. Integration- This is easily the toughest chapter in JEE mathematics. It involves all chapters of mathematics- Trigonometry, Coordinate Geometry, Algebra, etc. So, first things first-rememeber all the formulae pretty well. Be regular from day 1. Most students don't learn formulae well, and as a result, they feel that their Maths is weak. It is not the case. There are perhaps 50-100 formulae in Integration, and you must learn them all. Practice helps in this. Another thing is strategies. There are lots of problem-solving strategies in this chapter, and revise them regularly. Then comes practice. Tough things become easy only through practice. Use your coaching material and revise well using these books.
BOOKS
The best book for Calculus is one issued by coaching centres. They are quite comprehensive and have all the concepts, and all types of questions. I used Resonance material and found it pretty good. You can use it too(if you are studying on your own)-
Coming to books for extra practice, you should definitely go for Arihant. I used it and found it pretty awesome. Apart from these, I don't think any other book is required. Foreign author books aren't useful for JEE. Do past papers as mentioned in the books post.
Do let me know if you have any doubts in the comments section.
All the best!!!
Also see: Algebra, Trigonometry, Coordinate Geometry, Vectors and 3D, Best Books for JEE
I am currently in 11th standard. I have done all my coaching(Aakash) study material of chapter "Relation and Functions" and I am pretty sure that I have got a good command on this chapter. But can you please refer some books so that I can practice some advanced questions of Domain and Range.
ReplyDeleteGo for Cengages or Arihant both are good books
DeleteYou can use chapter wise past papers for that
ReplyDeleteIs a das Gupta sufficient for calculus
ReplyDeleteWhat about IA Maron - Calculus in one Variable . Is it good for jee. I have done 2 chapters from that book and found it useful.
ReplyDeleteThe important question from this book are already given as solved examples in almost all book
DeleteSo there is no need to buy this book
Is A Das Gupta sufficient for calculus??
ReplyDeleteAppreciate you sharing, great blog article.Thanks Again. Cool. calculatorshub
ReplyDeleteHi! How is cengage for Calculus??
ReplyDeleteAlways remember that the mystery is practice. It's tied in with understanding the explanation for the ideas and the means.
ReplyDeletealgebra
Somewhere the content of the blog surrounded by little arguments. Yes it is healthy for readers. They can include this kind of language in their writing skill as well as while group discussion in college.
ReplyDeletecalculus辅导
https://www.amazon.in/dp/9324197029/ref=cm_sw_r_wa_apa_i_yWmrFbH5HXT3B
ReplyDeleteGo to Other Seller for this book Look for Medine stores Now get the book at lowest price + free delivery
For class 12 do the Same : https://www.amazon.in/dp/9324197037/ref=cm_sw_r_wa_apa_i_BXmrFb8V7MYNS
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I think lesson one is most difficult adhyayan
ReplyDelete