Mathematics Tips for JEE – Part 1 General Guidance

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Mathematics is one of the easier subjects (concept wise) for JEE.

You do not have to memorize a lot of stuff (unlike Chemistry) and you do not have to deal with too many physical concepts, associated theories and applications (unlike Physics).
Mathematics is logical, concise and clear.

However, in order to do well in Mathematics in JEE (Mains and Advance) you do need to

  1. Know all relevant formulae and theory for any particular topic very well.
  2. Understand the basis of all formulae that you learn (i.e. where do they come from, how they are derived).
  3. Finally, solve a very large (and we mean very large) number of problems in Mathematics – basic level, JEE Mains level and JEE advanced level. Problem practice in Mathematics has to be much more than in Physics or Chemistry.

Just mugging up the formulae without caring for the underlying logic and then rushing to solve problems is NOT a technique we recommend. You may be able to solve a lot of problems this way, but your base will remain shaky.

Also, beware. Though logical and concise, Mathematics is the only subject where it is possible that even a genius level candidate may not be able to crack a particular problem that requires a particular elusive trick even though he/ she may know the topic thoroughly!
And the JEE paper setters love coming up with such tricky problems!!


JEE (Advanced) Mathematics is divided into the main categories below

ALGEBRA

Logarithms, Sequences & Series, Quadratic Equations & Inequalities, Binomial Theorem, Permutations & Combinations, Probability, Complex Numbers,  Matrices and Determinants

TRIGONOMETRY

Trigonometric functions, Inverse Trigonometric functions, Trigonometric Equations, Solutions to triangles

CALCULUS OF 1 VARIABLE

Functions, Limits & Continuity, Derivatives & Applications, Integrals, Definite Integrals & Applications, Differential Equations

VECTORS & ANALYTIC GEOMETRY

Coordinate Geometry – General formulae, Line, Circle, Conics, 3-D Geometry, Vectors

JEE Mains also requires covering a few other topics (Statistics, for e.g.), not required for JEE Advance.
When studying Mathematics, we would advise you to be congnizant of these categories – this will help a lot in organizing your studies.

Note: When you study Mathematics in your engineering courses, you will cover substantially higher (and conceptually much more difficult) categories like LINEAR ALGEBRA, CALCULUS OF MANY VARIABLES, CALCULUS OF VECTORS, CALCULUS OF COMPLEX NUMBERS, HIGHER ORDER DIFFERENTIAL EQUATIONS & PARTIAL DIFFERENTIAL EQUATIONS, etc. …
So if you think XI & XII Mathematics is hard, wait till you get to your engineering(!!)
But thankfully, all that is not required for covering the JEE, where we study only the beginnings of Modern Mathematics i.e. basic Algebra, Trigonometry, Analytic Geometry & Calculus.


If you have any problems in Preparing for Mathematics for JEE, please mention it to us in the comment box below and we will help you in making maths easy and fun to learn.

Rohit Mehra

IIT D , IIM A grad with a passion for education, especially STEM (Science, Tech, Engineering, Math). Love the JEE and the way it has evolved through time ... keen to help students crack it.

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3 Responses

  1. Rakesh says:

    i am unable to manage school and self study time.

  2. sayan mitra says:

    having problem in straight line

    • Rohit Mehra says:

      Hi Sayan … do you mean Straight Line in coordinate geometry (2-D) or in 3D geometry? Please clarify.

      For coordinate geometry:
      Straight lines is a foundation chapter in coordinate geometry.
      Though it can look difficult in the beginning (too many forms of equation of the line) it is actually a logical and easy chapter.
      Please let me know the exact problem you are facing and maybe I can guide you further.

      For 3-D geometry:
      In 3-D Geometry, straight lines can be a bit challenging to understand at first. I used to get really confused with the representation (x-xo)/a = (y-yo)/b = (z-zo)/c. Made no sense to me in the beginning when I was studying 3-D geometry.
      The trick is to use vectors when in doubt, instead of relying on the cartesian equations and formulae. Results obtained in vector form can be easily converted to cartesian.
      The vector equation is so elegant and has only one “=” sign.
      Again, if you can specify the exact problem you are facing, I will definitely guide you further.

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