Friday, 10 January 2014

Algebra , the most difficult one

For me , algebra was like a nightmare , even today. Thankfully there is no algebra course here in B.Tech. Here is a chapterwise analysis of algebra as most people demanded. I am sorry for the delay.

Complex numbers : as the name suggests , it's a really complex chapter. Contains a large number of concepts. This chapter integrated with coordinate geometry serves as the source of a large number of questions. Be careful with this. Locus problems are asked from this chapter wherein the definitions are given in complex number notation and you are expected to decipher it. The triangle inequality is another important aspect.


Quadratic Equations : A rather simple chapter but very much interesting. Make sure you know all the concepts. This would be easy if you practice past years problems well.


Progressions and series : The so called Vn method is most important. Recursion problems are the favourite ones. Make sure you know the definitions well and are well equipped to apply them whenever needed.


Logarithms : Simplest one. But the base change formula is important. Direct questions are asked rarely but they can test you in say a different way but integrating this chapter with other chapters of algebra.


Permutations and Combinations : The most difficult chapter for me. I am still confused so I can't really say anything but make sure that you solve a large number of problems.


Binomial Theorem : Easy one. Practice a handful of problems and you are done.


Matrices : Simplest chapter of algebra. But the paper setters know how to make you sweat in matrices problems. Check the paragraph that was asked in JEE 2010. It is the toughest problem from this chapter.


Probability : Not really difficult but not easy too. Practice board level problems in the beginning and then move on to tougher ones.


Algebra is an important and a diverse topic with a large weightage so make sure you practice it well.

83 comments:

  1. u suggested tmh for algebra...will dis one work??
    http://www.flipkart.com/comprehensive-mathematics-jee-advanced-2014-1st/p/itmdhs3qt83tujug?pid=9781259064272&otracker=from-search&srno=t_1&query=comprehensive+mathematics+for+jee+advanced+2014&ref=2f660f7d-cd41-4b50-b8ea-15caa5189532

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    Replies
    1. See when I bought the books , nothing called as JEE advanced existed. So , any book that says JEE advanced - "i have no comments"

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  2. Hello Mr.AMAN
    -i am a jee 2014 aspirant
    -)was pretty good till class 10 end
    -)managed to just creep into kvpy merit list
    -)regarding the studying methodology a big thanx ..already mentioned on ur blog
    -)currently stand around rank 40 in my fiitjee branch (a prime branch)
    -)passionate to pursue bachelors in computer science only and no other stream
    --preboards 2 days away
    -)scra inoi psa xams rushing towards me
    -)could you please tell what would be the most beneficial thing for me ..jee advanced-25th may
    -)syllabus situation is such that i know tidbits of every topic but none comple
    -)how to 'COMPLETE' A TOPIC
    -)odds of getting cs (i mean nothing but cs) in premier iits
    ~)strong desire to get into ""iit""
    -) made some mistakes..wasted lots of tym..filled cupboard with huge amount of books
    -)i can sacrifice boards upto 90% n jee mains to score 200~225
    To b sure to get any cse course in iit-d,b,k,kgp,m,r. In decreasing preference
    -)have lot of faith in ur word....willing to put as much effort as possible..just final direction required..it could make up my career.
    -)i believe i can do it since pretty much just enough tym is remaining.just need d direction to work hard.

    --)since u hav just been through all this..please guide me through...u r my first n last resort.been following ur blog .

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    1. Well , you seem to be in a big fix. I don't think I can be of much help. But this is what I would suggest :
      Maths : Complete TMH sincerely
      Physics : Complete DC pandey sincerely
      Chemistry : Complete NCERT sincerely and thoroughly.
      The closing ranks for CS :
      IITB - 59
      IITD - 109
      IITK - 307
      IITM - 212
      For other IITs , you can look here : jeeadv.iitb.ac.in and the on the left column , click "Data of earlier JEE" > Opening and closing ranks. You'll get a list. Here , CS is the course that ends with 4110. Eg. : IITB CS is B4110.
      Since closing rank are so low (in magnitude) , you'll have to prepare hard with enough motivation. Don't sacrifice boards (at least the Physics , Chemistry and maths part) because they allow you to cover NCERT thoroughly. Also one last word - "Believe in quality study and not quantity (of) study"

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    2. there are many books by DC Pandey please give the exact name

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    3. The book that contains theory as well as questions.
      Basically it is a set of books (some 5 books but I am not sure)

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    4. Hello aman,
      Thank you for the suggestions.just a little query -

      some practice for chemistry apart from jee previous year archives after doing a chapter from ncert

      Math theory n illustrations for jee i chose vmc modules.n final tmh revision.

      How to effectively use test series..fiitjee aits is really a big no...at least at this stage.so are things like gmp .

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    5. what exactly is your question ?

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    6. -->q1)jee chemistry practice resources apart from ncert and jee archives???

      please suggest that would be actually CLOSELY INTERLINKED WITH CURRENT JEE ADVANCED STANDARD so that i don't waste time in anything unnecessary at this crucial stage???

      -->q2)regarding math--just confirming vmc modules alongwith tmh is sufficient for a ;thorough exposure to required number of problem for a <300 type of rank?

      physics u suggested dc pandey full series which is pretty comprehensive..so i guess exposure ok!

      these resources i have asked so that if i dont get confidence in a topic ,,then i'll refer to these ,,else would stay at the things u said are the "basic requirement"

      q3)how to take out the best of test series at this stage,,i.e. so close to the examination with a large number of chapters yet to be finalized??fiitjee aits are pretty irrelevant w.r.t. to the current jee standard

      --A BIG THANKS for being a mentor

      Delete
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  4. Hey Aman
    I've started with algebra though im very weak at it so I've made a strategy
    for a topic xyz
    first ill cover it through ncert
    second rd Sharma objective
    third mcq mathematics from das Gupta
    fourth rsm modules
    is it sufficent of jee ?? I mean im aming for a single or a two digit rank and i want to be surely be confident on algebra ..... If there is any better resource possible plzz tell , i don't for coaching so i have lot of time to invest in algebra say 1-1.5 hours though im studying geometry parallel to it if there is any better and smarter way to learn algebra that u think would help







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    1. If you are patience enough to solve the above material - then go ahead. The more you practice , the more you get sharpened

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  5. hi aman , just got phase 4 study material from FIITJEE !! u cant imagine how much confused i am now ! hardly few days left now !! tell me one thing .....solving all the FIITJEE materials would end up in which rank ?? and touching nothing else like dc pandey,sk goyal .....etc.....plzzzzz reply early........i am numbbbb

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    Replies
    1. well why don't you focus on a single material with the target in mind ? why do you bother yourself with such absurd questions ?

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    2. at this point just tell by ur experience if i solve each n every question from FIITJEE material then how will it really help me ?? i am asking u the last time now !! what rank will take me upto ?? only touching FIITJEE material n nothing else !! plzz respond positively this time and truly.....m waitnig...!! plzz try to understand

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    3. you try to understand. I can't simply predict this

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    4. also upload some interesting pics of ur campus ( other than google ) which will motivate us

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    5. u mean mastering every concept will only help me ?? no matter what the means of practice is ??

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  6. bhiya did u study PnC and probabilty or u just left them,as im gonna do ??

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  7. Hi AMAN,

    From where did u practice ALGEBRA PORTION during Jee preparation in class 11th and 12th? Mention the sources name.

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  8. Hello Bhaiya.
    can u please collect information(Review) about Cengage Books of Maths(by g.tewani) and physics(b.m.sharma) from ur friends and colleague as i assume that u wont be knowing about these books(by ur previous comments)...
    I Heard that these books were been used in Chaitanya Vizag and so i m currently using them.Just needed a brief review and conformation about these books.Hope u wont mind and would Help me...Thanks in Advance..:)

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    Replies
    1. Sorry but this is difficult for me

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  9. Hey akan..gotto ask about Hall and Knight for Algebra..howz it??

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  10. By TMH u mean set of 5-6 books or TMH objective one for jee 2014

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    1. PLS provide me the link of TMH ALGEBRA... there are many books of TMH publication available online, so i am getting confused... pls provide me the link of the book which u used.... THANKS IN ADVANCE... If not link , then atleast tell me the name of the author :)

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  11. Replies
    1. scroll through the comments. somewhere I have mentioned the link to TMH

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    2. But still the link of tmh book is not here below.

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  12. -->q1)jee chemistry practice resources apart from ncert and jee archives???

    please suggest that would be actually CLOSELY INTERLINKED WITH CURRENT JEE ADVANCED STANDARD so that i don't waste time in anything unnecessary at this crucial stage???

    -->q2)regarding math--just confirming vmc modules alongwith tmh is sufficient for a ;thorough exposure to required number of problem for a <300 type of rank?

    physics u suggested dc pandey full series which is pretty comprehensive..so i guess exposure ok!

    these resources i have asked so that if i dont get confidence in a topic ,,then i'll refer to these ,,else would stay at the things u said are the "basic requirement"

    q3)how to take out the best of test series at this stage,,i.e. so close to the examination with a large number of chapters yet to be finalized??fiitjee aits are pretty irrelevant w.r.t. to the current jee standard

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  13. a1) why are you diverting from the best 2 resources ?
    a2) never tried vmc modules. tmh is good
    3.) i have mentioned about test series somewhere in the blog. look for it

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  15. hello aman bhaiya,
    i have read many of your posts and have really felt that you can help me in a way i need.so these are my problems;
    1) i have completed my physics portion about 90% for jee
    2) i am good at physical chem but not at all in organic and inorganic
    3) i am mediocer in algebra and calculus but poor in co-ordinate.

    i get arount 1200 AIR in fiitjee AITS, so keeping in mind these points please please guide me so that i get AIR of <3000 in jee.
    please guide me quickly. it's really argent

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    Replies
    1. follow the post on revision strategy

      Delete
  16. This comment has been removed by a blog administrator.

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    1. No advertisements allowed Sir/Madam on this blog.
      This is solely made for guiding the aspirants

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  17. I just want to know 3 thing from you
    1. what was your revision strategy (means whether in revision u did old question which u did in past 2 years again or u whole did new questions)
    2. did u complete the whole fiitjee booklet or used other books for your preparation
    3. how will you rate fiitjee classroom packages of only chemistry and mathematics ------ easy moderate or tough and why
    Actually i used other books for these past 2 years of preparation and i planned to complete the whole fiitjee packages during my revision. Now i find that in fiitjee booklets all question are of different varieties which was difficult for me to find in other books which i was using n these past 2 years. Had i used fiitjee booklets earlier i could have done good in both AITS and phase tests. So this is the problem for me

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  18. What sort of rank did you use to get in fiitjee AITS (just curious) ?

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    Replies
    1. Top 50.
      Sometimes top 10
      And once rank 2

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  19. Im planning to write JEE 2015, my class 11 is almost over and most of my physics concepts are at a level b/w Mains & ADV level. I complete few exercises from HCV. Im also weak in some maths topics like vectors, 3D etc. Im strong in organic & I haven't started inorganic at JEE level. I know only the basics of physical chemistry, will I be able to get below 60 rank in JEE 2015 if I study really sincerely after 11th boards?

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  20. Also, im getting discouraged due to college internal tests, many students are getting really high marks like around 315/360 whereas im getting only 180/360. Did this every happen to you? If so please elaborate and tell me what you did to stay motivated. (Im thinking those students already had a foundation IIT course, but will they fare at the same speed in 12th class, because it is in more depth?)

    ReplyDelete
    Replies
    1. See, 180/360 is not a good score (you must accept is as soon as you can).
      But the good point is that it can be improved. Your friends have lesser scope of improvement because their scores are almost saturated but you have lots of chances of improvement. Work hard, and you'll get to that level. Take class12th seriously in case you feel that you didn't give your 100% in class 11th.

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  21. i've covered the entire algebra except complex numbers.... it seems impossible to do... (i know there are about 4-5 questions every year) but i want to know... if i do this topic jee mains level, is it okay....

    and yes., is this an independent chp. or has use in calculus or others/...(except coordinate)..
    it has no use in physics right??

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    Replies
    1. It's a tough chapter but unfortunately it's important for JEE advanced.
      For JEE advanced, you will have to prepare it well.
      This chapter has great applications (coordinate as you mentioned).
      Besides, you will be using basics of this chapter in Alternating current (Physics) - Yes, that's the beauty of mathematics

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  22. Hey Aman now it's high time for our preparation so I need your suggestion regarding the following
    1. In case of TMH which should be preferred more the initial solved problems or the level 1 problems or the 2 level problems
    2. In case of RC Mukherjee the first initial 60 - 70 solved problems or the unsolved problems given in the end of every chapter or the miscellaneous unsolved problems given right at the back of the book
    3. In case of physics arihant, the subjective problems at the end of each chapter or the objective problems of level 1 or level 2

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    Replies
    1. In case 1 and 2, the solved problems are better than the unsolved ones.
      In case 3, I really can't say anything. You should solve a balanced combination of both

      Delete
  23. hii ; bhiya your blog help me a lot in study i just want to know that which math book is good for practice m.l khana or tmh ( it means clearing basic concept to master level ) i found tmh is tough and also its solution is not given any where (tmh : a single book with all chapter of iit )

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    Replies
    1. start with RD Sharma/ML agarwal
      They will help you to build your basic
      Then solve your coaching package
      Then solve TMH

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  24. hello aman , iam weak at complex number, i know the all the theory but still cant solve problems can u recommend any book for it?

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    Replies
    1. RD Sharma for strong basics
      Then TMH for tough level problems

      Delete
  25. it's impossible to do 100% of the jee preparation..!!.... my preparation after completing class 12 is... physics and chemistry complete..... only maths algebra is a problem.....complex numbers..... m thinking to leave it upto jee mains level!!

    which topics had u completely left in ur preparation.... or which topics u're sure of not solving and getting the answers.. can u please tell me tht>!..

    #feeling low bcoz of complex nos.

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    1. sorry.. after this is for after class 11

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    2. Well there was no topic that I completely left - because I couldn't afford to.
      If you are feeling low because of complex numbers, then it's absolutely OKAY.
      It happens with everyone. It's a tough chapter and you won't be able to do anything about it.
      My suggestion : Do whatever you can and leave the rest. Come back to this chapter towards the end of your preparation. I can bet that you would be able to do it then because you would have gained a lot of practice and experience by then

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  26. is it really worthy to do whatever that in a perfect way...!...

    after class 11 ... should i make my class 11 leftouts cover, or should i perfection the revision??

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  27. which book can i use to do pnc,probability initially..im giving jee in 2015

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  28. aman can you please name the writer of that algebra book published by tmh ...

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  29. hi there.. nice blog.. can you tell me some important tips in complex number and from where i should study it..??

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  30. Hi Aman iam completing adas Gupta and 35year is it sufficient to get 80+ in jee mains

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  31. Hi Aman I am facing problem with Complex Numbers. I have done it from RD Sharma (basics) but I cannot grasp the topics like rotation. Must I complete coordinate geometry and trigonometry before that?

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  33. hi aman,
    Initially , i was not able to solve much problems from TMH, but it took me 15-20 hours to completely solve Hall and Knight for Progressions, binomial .. it turned out as i had only done VMC's module before, i was not even aware of the whole theory . But now i am able to crack 60-70% of TMH just after reading questions !
    Can you suggest me some concept building books for mathematics (as you mentioned earlier that Hall and knight is not relevant for jee !
    i am appearing in 2016, and have a lot of time for maths as i have almost completed my phy ( dc pandey) chem (physical and organic - ms chauhan) ..
    Thank you !

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  34. hey aman is it ok if i skip pnc ???

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  35. Hi aman,I am very good in pnc and most topics of maths but I am able to solve only few problems of complex as my theory is but lacking suggest me good theory with sequentially arranged concepts

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  36. HI,
    FROM WHICH BOOKS TO PREPARE FOR NSEJS??

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  37. Which coaching do you recommend for classroom study programme in Kanpur?

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  38. Can you just help me figuring out what is VN method in progression and series and what are recursion type problems? Just a small elaboration maybe?

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  39. Hey! Aman which is better book Cenage maths by G.Teveni or TMH Mathematics..
    My FIITJEE Teacher asked me to take cenage so i am confused..

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  40. hi Aman! Bro plzzz help me permutations & combinations and probability are just not going into my head. I have read the theory part many times but i am able to to only 50-60% of my fiitjee package and archive(JEE Adv.) problems. Should i first start NCERT and RD Sharma?? Plz help me as these topics are a major part of jee syllabus...

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  41. hey first of all ur blog is awesome.....and second thing m also not comfortable with algebra only, algebra m not confident about this section can u plzz help me out....

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  42. Hey Aman I was unable to qualify any of the nse's . Does this mean I won't be able to do well in jee advanced?
    Appearing this year

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    Replies
    1. Satvat jagwani didn't qualify NSE, KVPY, RMO or anything. But he bagged AIR 1.

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    2. Satvat jagwani didn't qualify NSE, KVPY, RMO or anything. But he bagged AIR 1.

      Delete
  43. Hey aman i have a query
    Is it better to solve tmh or arihant algebra

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  44. Hey Aman ..... I am really confused and I think you are the only person with whom I can share my query.... Plz..... Tell me name of the books which should be solved for IIT JEE MAINS AND ADVANCED PREPARATION.... For each and every subject .... Waiting for a reply bro.. Plz help me... WAITING FOR A QUICK REPLY....

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