Calculus has remained my favourite topic since JEE. It's the best, the most logical and the most beautiful topic for me. It has it's own beauty. It's a

**mixture of everything**- co-ordinate geometry, algebra, vectors and what not. It's because of my interest in calculus that I performed good in our calculus course. It's extremely important from the point of engineering.

Coming back to JEE,

Here is a chapter wise discussion of JEE calculus.

**Functions**: forms the framework of calculus. Understand this concept well otherwise studying calculus will be a tough time for you. Common questions are :

**finding domain/range**of a given function : students commit silly mistake here- given a domain and range, finding the
**number of one-one, onto, etc functions** **plotting graph**and finding number of intersection points of 2 or more functions

Practice a number of problems of finding domain/range. There are tricks like :

- no negative number inside a square root.
- no division by zero
- no negative number zero inside log
- base of log is not equal to 1 etc etc.

**basics**. A good practice is to cross check your answer from the options available.

**Limits**: Most important part. Entire calculus is based on finding limit of a function.

**L'Hopital's rule**is extremely important. Apply it as much as you can. You might also give a try to series expansion but I avoided it because most questions of series expansion can be solved if you are good at L'Hopital's rule. So, I never needed it. However, it is advisable to

**remember the exponential and logarithmic series**.

Questions from this chapter are usually straight forward and simple. You just have to figure out the zero by zero form or the infinity by infinity form and apply L'Hopital's rule.

The variety of questions is large.

**Continuity**: another important topic. This chapter can be solved if you are accurate and quick at

**drawing graphs**of functions. Continuous functions have many interesting and important properties like "

**intermediate value property**", invertibility etc. Understand them and apply them.

**Differentiation**: One of the

**easiest chapter**. Doesn't need much effort.

**Learn the formulas**of differentiation - quotient rule, product rule, chain rule, implicit differentiation, differentiation of exponential and logarithmic functions, higher order derivatives. Practice enough questions.

**Application of derivatives**:

**Most-most-most important chapter**because

**maximum number of questions**are asked from this topic. Rolle's theorem, Lagrange's mean value theorem, concept of maxima-minima, increasing and decreasing functions, inflexion points, etc are really really important.

**Practice as many questions as you can**from these topics. Be prepared to see

**maximum questions in JEE**from this topic. If you are weak at it, then better do something otherwise you will face trouble. This chapter basically is the application of all that you studied in the previous chapters and JEE is all about applying concepts.

**Integration**: Relatively

**easy chapter**. You won't find many questions in JEE from indefinite integrals. There are a

**number of formulas**to be remembered from this chapter. The formulas are extremely important because you will sometimes need them in definite integration.

**Definite integrals**: most

**important topic**of integral calculus. There will be a good number of questions from this chapter. Most questions will be based on the

**properties of definite integrals**rather than just applying fundamental theorem of calculus to a definite integral.

Practice enough questions from this topic.

**Differential equations**: A relatively

**simple and interesting chapter**. Need a good amount of practice and some memorizing skills. Learn the

**known methods**of solving the

**standard differential equations**and you will enjoy this topic.

**Books**: Arihant differential calculus, Arihant integral calculus (Both by

**Amit M. Agarwal**) are the best books for this topic. They will cover almost everything (except one topic - inflexion points which you may cover from somewhere else). Solve all the subjective and objective problems of the book. You may choose to ignore the extremely long ones because they are meant for olympiads etc.

**Revision**: Revise from the

**standard revision packages**in the market. FIITJEE GMP or Resonance rank booster or the one provided by your coaching will be sufficient.

**Final word**: Calculus needs a lot of cramming. There are a number of

**standard methods and techniques**that you are expected to

**remember**. You won't derive the formulas in exam. Just understand them at home and then

**learn them by heart**.

**Practice a number of problems**especially from application of derivatives and definite integrals. These are the favourite topics and definitely there will be questions from them. You can't afford to lose marks in calculus because it is one of the easiest topic.

Enjoy calculus.

Aman,

ReplyDeleteIs it worthwhile to study finding of limits from "first principles" method. Its part of NCERT 11th syllabus (no L'Hospital" rule there). I mean can they ask conceptual questions from this area ?

(Conceptual in the sense questions other than to just find the limit, but to apply the concept in another situation etc)

Everything given in NCERT is worth studying.

DeleteYou never know how the questions will be framed

hey dint u go for arihant for vectors nd 3d ?

ReplyDeleteNo, I never tried that book

Deletethe books that you referred for Biomolecules and Polymers?

ReplyDeleteThis is not the right place to ask this question.

DeletePlease post your doubt on the organic chemistry page

Hey aman, I am not very good at indefinite integration so can I afford to leave its jee part and just study the board level.

ReplyDeleteDefinitely not.

DeleteIf you are appearing for JEE 2014, then better learn the standard formulas given in Arihant book.

if you are for JEE 2015, then start solving arihant integral calculus and solve each and every problem

@Aman

ReplyDeleteIs integration as a limit of a sum part of jee advanced syllabus??

Of course. That's the definition of integrals

DeleteHi Aman what about ml Khanna for calculas

DeleteDo you suggest solving "PROBLEMS.IN.CALCULUS.OF.ONE.VARIABLE by I.A.MARON" ? Is it helpfull??

ReplyDeleteI didn't try it

DeleteOk. Thank you

DeleteA new post idea "Speed vs Accuracy"

ReplyDeleteTo be mentioned in "blog feedback/suggestions" post

DeleteFrom which source did you get test papers to practice at home? Are Arihant Practice sets a good option?

ReplyDeleteFiitjee provided me enough test papers.

DeleteI don't know about arihant

IS (A Textbook of Differential Calculus for JEE Main & Advanced) and (Arihant differential calculus) same book??

ReplyDeleteno

Deletewhich is better (A Textbook of Differential Calculus for JEE Main & Advanced) OR (Arihant differential calculus) ??

ReplyDeleteArihant differential calculus

Delete1st of all this blogsopt is really cool.

ReplyDeletei have solved about 150 questions of each calculus chapter from target exercise of amit m agarwal. what else can i do to get full marks in calculus in advance?

Please mention the year in which you are appearing for JEE

Delete2014

Deletewhat i mean, should i stick with the basics or should i go for high level problems from new pattern sk goyal?

Deletedepends on you completely

Deletecan you give a link to the book "Arihant Differential Calculus"

ReplyDeletegoogle it

DeleteOr purchase from the market.

Note that you won't get the old book which I used.

Now you will get a new edition book meant for JEE advanced rather than IIT JEE

I did the same before asking not only from Google but even from Arihant's website and it showed only one book tittled "A Textbook of Differential Calculus for JEE Main & Advanced" but you said above that you used a different book that is why I am asking you to please share the link

DeleteActually the new book must be the revised edition.

DeleteGo ahead and purchase it

They must be same

Hi Aman,

DeleteThis is Confusing.As stated there are two versions of the same book by the same author. Hence I request you to share the correct title and help me choose the right book.

Links

Skills in mathematics by Amit Agarwal

http://www.flipkart.com/skills-mathematics-integral-calculus-jee-main-advanced-7th/p/itmdv8y27n2vphgj?pid=9789351418443&otracker=from-search&srno=t_4&query=amit+m+agarwal&ref=1272b583-dde4-41a1-9adc-c4f842c98b04

And

Textbook of Mathematics by Amit Agarwal

http://www.flipkart.com/textbook-integral-calculus-jee-main-advanced/p/itmdvcpgjdeeeu3x?pid=9789350943960&otracker=from-search&srno=t_13&query=amit+m+agarwal&ref=c68c88ca-97db-42f5-a368-3e464b8de395

Thanks for Your Time,

Adway

Hi aman I have a doubt , I have already bought calculus book by g. Tewani ,so should I now go for arihant's IC & DC

DeleteThis comment has been removed by the author.

ReplyDeletehow long shall calculus go ..!>... more than 5 months??.... how much was is ur fiitjee??

ReplyDeleteis TMH good for calculus?

ReplyDeletehey. i am a jee- 2015 aspirant. i am in fiitjee coaching. for integral calculus, is arihant integral calculus amit agarwal really necessary or if i solve fiitjee package, archive and one other good practice book enough.? i am having this doubt as i dont think i'll be able to complete it. i just went through my friend's copy of the book and it was huge.. so ur advice?

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteis cengage tewani a good book for calculus or refer other book

ReplyDeletenot so good

Deletebest book is by i a maron

DeleteIs GN Berman a good book for calculus

ReplyDeleteis the book you recommended this

ReplyDeletehttp://www.flipkart.com/skills-mathematics-integral-calculus-jee-main-advanced-7th/p/itmdv8y27n2vphgj?pid=9789351418443&otracker=from-search&srno=t_4&query=amit+m+agarwal&ref=1272b583-dde4-41a1-9adc-c4f842c98b04

or this

http://www.flipkart.com/textbook-integral-calculus-jee-main-advanced/p/itmdvcpgjdeeeu3x?pid=9789350943960&otracker=from-search&srno=t_13&query=amit+m+agarwal&ref=c68c88ca-97db-42f5-a368-3e464b8de395

i am aiming for jee 2015 ... but my maths concepts is very weak.... i m doing self study at home from fiitjee rsm... can you suggest me ideas to strengthen up my concept.

ReplyDeleteHi Aman. My daughter will be starting class 11 in a couple of months. I want to help her in preparing for calculus for iitjee. Towards that end, I am solving all questions in arihant's differential and integral calculus. I plan to take her through all the questions. My query: will this be enough as far as calculus for iitjee is concerned? She will be having her fiitjee classes though. Your reply will be really helpful. Thanks in advance!

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteAman, I jus t finished my class 10 and I am new to calculus.I am studying in a school which has IIT classes for class 11 and 12. What should I do during this summer holidays? Your reply would be very useful to me.

ReplyDeleteAman, I jus t finished my class 10 and I am new to calculus.I am studying in a school which has IIT classes for class 11 and 12. What should I do during this summer holidays? Your reply would be very useful to me.

ReplyDeleteWill tmh suffice for calculus if I have one year in hand

ReplyDeleteWhich book is best for differential calculus

ReplyDeleteI started solving calculus problems but I am unable to solve almost 90% of them.

ReplyDeleteI haven't joined any coaching....

I am following cengage and preparing for jee 2016...

Plsss. Help me

I think I am quite weak in maths!!!!!

HI Aman, I am having problems in solving the solved problems of Integral Calculus by Amit M Agarwal. Though I have completed from the NCERT level but still if we see at the level of Amit M Agarwal book, most of the solved problems are not being solved easily by me. Can you please suggest any strategy to discard the problem

ReplyDeleteWell, do not discard the problems if you are aiming high.

DeleteLearn what the problem aimed to teach you

Hello! Can you please tell when is the right time to start doing calculus. Is it better to go with FIITJEE or start by own. By which month should I be starting it.... **Presently in class XI. Completed whole of conic section.**

ReplyDeleteGood question. I'd recommend reading basics of calculus from school level books (RD Sharma if you are in CBSE and ML Agarwal if you are in ICSE).

DeleteIt always helps to know basics of calculus because you will be using quite a bit of calculus in physics (kinematics)

What is the approx. weightage of Functions,Applications of Deriavatives and Definite Integrals in JEE Advanced?

ReplyDeleteWhat is the approx. weightage of Functions,Applications of Deriavatives and Definite Integrals in JEE Advanced?

ReplyDeleteHi Aman , I have enrolled in 2 yr coaching . They are making us solve basic problems in the class itself.

ReplyDeleteAt home , i am only solving the examples + target ex problems of differential calculus by amit aggrawal . plus selected previous year problems . Would it suffice ?

Thanks

I am preparing for jee 2016

DeleteHi Aman . I'm preparing for jee 2016. have completed solving every calculus question from amit m agarwal,as well as 37 years iitjee. But this time fiitjee aits questions really banged me totally. Now I am not so much confident about calculus. Please suggest what to do.

ReplyDeleteHey aman! I am facing troubles in limits. It's taking too much of my time( i haven't completed it in about 2 weeks) is it worthwile to linger on to it?? Or shall i move on and cover it during revision

ReplyDeleteBhaiya I am currently in class 11 taking coaching in aakash. In maths currently limits is going on and I am facing difficulties in solving my aakash package. Please help me in getting grip on this topic...

ReplyDeleteOr will u suggest to leave it and do that in class 12?

Aman sir, from tomorrow calculas is going to start in my coching so please will u suggeat me which book or source is best for qstns of jee

ReplyDeleteSir do you know a good way for mastering integral calculus

ReplyDeleteHI Aman. Though i have completed almost whole of the mathematics but still i feel some difficulty in solving very hard or subjective type problems. Presently I am also completing TMH Jee Advanced book, what else can I do in order to become pretty good at the topics (especially like integration). Please help...

ReplyDeleteHey I am in class 12 and I have not done well in class 11 jee maths preparation. I am a student of resonance and want to ask you that can I start doing TMH mathematics from now for both class 11 and 12 or it is late

ReplyDeletePlease reply fast

TMH is not recommended for beginners. Start with say RD Sharma

DeleteAman Bhaiya

ReplyDeleteI am using Cengage series for maths.

Are they worth solving, or as u said arihant series?

I am JEE 2017 candidate

Thanks bhaiya

Aman bhaiyaa im jee 2017 aspirant and am pretty weak at indefinite should i leave it and focus on definite or i need to get thorough with it

ReplyDeleteIs M.L Khanna IIT MATHEMATICS good for IIT JEE ADVANCED

ReplyDeleteIs M.L Khanna IIT MATHEMATICS good for IIT JEE ADVANCED

ReplyDeleteg

ReplyDeleteBaiya what are the prerequisites before learning calculus?

ReplyDeleteI am currently in class 10th and want to learn calculus.Which book should I use? Thanks

ReplyDelete