How to prepare Mathematics for JEE?

How to prepare Mathematics for JEE?

Mathematics turns out be either a bane or a boon for every JEE Aspirant. However, one thing I have noticed is that Mathematics is one of the strongest section of every JEE Topper. Mathematics is a section which is feared a lot amongst all JEE aspirants, only because it requires a little logic and tons of practice to master, which most of them don't do. Mathematics can be mastered by everyone, only and only by practicing as much as possible.

Now, Mathematics can be broadly divided into the following sections

• Algebra and Complex Number
• Coordinate Geometry
• Calculus
• Vectors and 3D Geometry
• Probability and Statistics
• Trigonometry

Trigonometry is generally required in other parts of JEE and there are hardly any pure Trigonometry questions asked in JEE. I would recommend to study and practice this section during the early stages of JEE preparation. Also, please memorize the important Trigonometry formulas, as they are used extensively.

Now, Calculus is the most scoring section of all of Mathematics for JEE. Calculus involves a little but of formula/trick memorizations, and lots of practice. I have seen even average students scoring full in Calculus part. All this section involves is some brain work, and practice.

Algebra!! Well, this is something which has been an nightmare to me too. This is a section which takes up a lot of time, but usually doesn't give comparatively better results. However, this doesn't mean you can ignore this section. This section in total constitute of nearly 40% of JEE Mathematics. Take this section very seriously, and try to wrap it up asap.

Similarly, Vector and 3D Geometry are also very-very scoring. It involves only a few type of questions, however put forward in a different style. This is according to me the most easy section of JEE, and constitute nearly 25% weightage of JEE Mathematics. Don't take this section lightly and practice it as much as possible.

Coordinate Geometry involves memorizing lots and lots of formulas. You would need to practice a variety of questions and devote a lot of time in practicing to this chapter. Circles is the most important part of this section.

Probability and Statistics is the toughest part of JEE Mathematics. It need to be understood well, conceptually and practically. Understanding of theorems and their right implementation is very important in this section.

There are many other smaller topics like Logarithms, Exponentials etc. which should be studied at the beginning, because they are extensively used in not only Mathematics, but Physics and Chemistry as well. Also basic differentiations and integration must be learn along with these, as these are also widely used in Mechanical Physics.

Books Recommended

1. RD Sharma Objective JEE
2. Cengage, for Calculus and Algebra specifically
3. Mathematics Challenger by Disha/ or Arihant Mathematics Question Bank
4. Previous Year Paper Question Banks

Please practice the Previous Year questions once you have studied the whole chapter, and have practiced from all the other Books available to you.

Now summing up, Practice is the only thing which can help you out in Mathematics. Devote most of your time of JEE preparation to Mathematics. Mathematics, if kept strong, could easily fetch you 100+ of 120 in JEE.