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Sunday 28 September 2014

JEE Tips : Maths

Hello Everyone,

It's Puja time, the time for celebrations and enjoyment. The time to go out with your families and buy new clothes. I would like to wish all my blog readers a pleasant and wonderful month of surprises, fun and excitement.

And for my juniors ( who probably have an exam at the end of the week which has ruined their vacations :-P), now is the time to step on the gas and overtake your competitors. While your friend is busy enjoying himself you've got to overtake him. Your vacations might be a bit boring compared to previous years, but you've got to work hard now or it'll be too late.

A small recommendation to everyone. Spend a bit more time on Maths than Physics or Chemistry. Maths is probably the toughest and it deserves your extra time.

  1. All that the Maths Gods ask for is practice. Sincere, dedicated and never-ending practice.
  2. The Mains and even Advanced Paper is such that if you are given a whole day to solve it, you probably will be able to clear the exam. The challenge is to do it in three hours and for that you need to look at a problem and realize at one go what kind of problem it is and what direction you have to take in order to solve it successfully.
    By : Mridul Kothari
  3. Choose a book which has solutions of questions also ( preferably Arihant or TMH). And if you can't solve a particular question look at the first few lines and try the question again.
    By : Mridul Kothari
  4. In Maths Calculus is the most Important topic. After that all the other topics are almost equally important but Conics, Probability, Matrices and Complex Numbers are possibly harder. Give the most time to Integral Calculus and after that the topics I mentioned above in any order you are comfortable with. ( Don't leave any of the topics I mentioned above).
  5. Don't worry about Trigonometry, not many of us can solve Trigo the proper way, most of us rely on putting special values and getting the desired results. If you absolutely hate Trigo, attempt Trigo questions on the exam day only if a special value case works, otherwise leave that question.
  6. Always solve questions related to Conics the proper way. Diagrammatic approach won't work because you can't in most cases predict the nature of the diagram. Also trying for special cases also won't work in conics most of the time.
  7. In Permutation and Combination some questions can be scaled down. If you are asked to arrange 20 men and 20 women in a particular way, try and apply the same conditions for 3 men and 3 women. In many if the cases you will find similarities in results which you can exploit to your benefit.
  8. Focus on understanding theory properly in 3-D Geometry and Vector Algebra, Binomial Theorem, Differential Calculus, Probability and Polynomial Equations. Remember the expansions of sin x, cos x, Ln (1+x) and ex.
  9. Complex Numbers and Matrices may be hard to understand. So don't worry if you can't understand it at one go. Also remember, problems from these topics are different versions of a few standard types. Practice the solved examples.
  10. Don't ever get scared. Don't doubt yourself. Work as hard as you can possibly can and don't give up ever.
Keep these points in mind the next time you sit down to study Maths. Regarding point 7, I can't recall an example right now, I'll surely post one when I remember one ( But remember, that point really works), if you have an example comment it. Scroll down and subscribe to my blog to receive further updates on email. For any further doubts, you can comment here or contact me on Facebook.

Happy Durga Puja and All the Best



 

9 comments:

  1. This is good, Mridul !! Thanks, I needed this. :)

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  2. Bhaiya how is this:LIMIT n----> infinity X^2n = 1 if |X|=1 ?? It should be undefined na bhaiya (1^infinity form )

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    1. x^n is undefined if x-->1 and n--> infinity. However, if x is exactly equal to 1 then the limit is no longer undefined. When x is exactly equal to 1 x^n =1.
      And in this case 2n ensures that the power is even so whether x is + or - 1 the answer will remain 1.

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  3. Got it bhaiya.thankyou very much

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  4. But one thing bhaiya in limits we evaluate by putting exact value to which the limit tends to.then hw does exact value of 1 and when x----> 1 give different value

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    1. Note: you enter the exact value of the limit only after you've converted the original expression to a form in which the exact value won't cause any probs.

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  5. Oh got it Bhaiya. Bhaiya I was getting trouble in limits even though I feel that I have understood the basic concept .bhaiya what I have found in it question is that if a certain question is asked for eg from limits then the concept of limit is used only in first few steps ,later Application of algebra mostly brings the answer(I was solving iit 2011 q from limit finally angle theta was required and a variable was involved with degree 2 so I started using quadratic which almost cost me 3-4 minutes but in solution this was used:x+1/x >= 2 .) this is were I lack .so I think Bhaiya since algebra being the most basic topic should be done first (I hv done it, hv to revise it again.) if somehow I don't revise it now I will face problem in jee advanced.should I to this step Bhaiya ?

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    Replies
    1. The kind of question you are talking about can only be learned through enough practice. So, you don't really need to go back to algebra, everyone who will give JEE will know that AM >= GM, but through this example you have learned a practical use of this known fact.
      Stick to practising problems, you'll learn a lot of stuff along the way just by practising.

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  6. bhaiya,,what is your views about books by kc shina?

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