Maths holds a significant share in the IIT JEE exam, and it lays a foundation for other science subjects as well. Therefore, an aspiring candidate should put particular focus on this subject. However, to score well, the first thing which a candidate has to keep in mind is IIT JEE Maths important topics. Once candidates are familiar with it, they can frame their strategy accordingly.
To understand what are the important topics in Maths for IIT JEE, students should firstly analyse weightage of every topic. For this, they can either go through the previous years’ papers or take help from reliable online sources.
To help you out, here is a detailed discussion of important Maths topics for this exam and strategy to tackle it. Read till the end to find out more!
Important Topics in Maths for IIT JEE (Mains)
For qualifying IIT JEE Mains, you must make a proper strategy. The syllabus of this exam is vast, and it is challenging to complete it entirely. However, if you chalk out a proper strategy, you can easily qualify this exam. You should emphasise on those topics which have more weightage in this exam. For doing this, you can go through previous years’ papers and find out the weightage of each topic. In general, these following topics are the most important Maths topics for IIT JEE (Mains) -
1. Coordinate Geometry
Coordinate Geometry finds application in other fields of Maths like trigonometry, 3D Geometry, Calculus, Statistics and so on. There are three categories in which this topic can be divided:
2D Geometry - It has subdivisions like distance and sections formula, transformation of axis, area of triangle and locus.
Straight Lines - In this section, you should study concepts related to straight lines.
Conic Section - This section demands a thorough understanding. It includes circle, parabola, ellipse, hyperbola and pair of straight lines.
Calculus is very important in this exam. This topic has a weightage of approximately 40%. Therefore, a student needs to practice this section effectively. There are two categories of Calculus - Differential and Integral. They are further subdivided into these topics:
3. 3D Geometry and Vectors
Before you start with this topic, make sure that you have a clear understanding of coordinate Geometry. This topic mainly covers sections related to:
Distance between two points
Angle between two intersecting lines
Equation and shortest distance of skew lines
It is one of the most important topics in Maths for IIT JEE. This topic, like most other topics of IIT JEE demand clarity of concept. Under this topic, there are several sections which can be classified as follows:
Series and Progressions
Permutation and Combinations
Matrices and Determinants
This is a formula based topic. Therefore, you must make it a point to revise the crucial formulas regularly. From this section, you can expect questions related to standard trigonometric identities, and solving these questions will demand significant grip on the formulas.
The topics mentioned above are of great significance if you want to qualify Mains. However, you should always go through the previous years’ papers to get a better understanding of weightage of every topic. As an example, a table is given below to which reflects weightage of topics in Mains exam of 2019 -
Besides, these above mentioned topics, the topics given below also carried considerable marks -
Although these are the important topics in Maths for IIT JEE, students should avoid skipping other topics.
IIT JEE Maths Important Topics (Advanced)
The syllabus for JEE Mains and JEE Advanced are almost similar except for a few topics. If you are already preparing for Mains, then it is easier for you to cover the syllabus of Advanced. However, while preparing for Advanced, you should study every topic in details. The questions of this exam are highly conceptual, and so while preparing you should focus more on quality rather than quantity.
The most important Maths topics for IIT JEE are quite similar to that of Mains. It includes:
Vector and 3D Geometry
Sequence and Series
Triangle and its Properties
Permutation and Combination
While deciding which are the important topics in Maths for IIT JEE, you should go through previous years’ papers. When you are analysing these papers, you will get an idea of the weightage of each topic. The tables given below will help you in this process.
Important Topics in Maths for IIT JEE Paper 2
Some Books to Refer
While studying these IIT JEE Maths important topics, you must refer to reliable study materials. Here are the names of a few books that can help you in the process -
Maths book of XI and XII by RD Sharma
Trigonometry and Coordinate Geometry by S.L. Loney
Higher Algebra by Hall Knight
IIT Mathematics for JEE Main & Advanced by M.L. Khanna
While choosing study materials, you should choose only those which are convenient for you. However, before selecting, make sure it is reliable.
Difference in Approach
When it comes to Maths, there is a difference in JEE Mains, and JEE Advanced which you should understand. JEE Advanced has a few additional topics in it compared to Mains. The questions asked in it require an in-depth understanding of topics. While you are preparing these topics, you should concentrate on the logic behind each topic. When compared with Mains, Advanced is more concept based.
Some Additional Tips to Remember
While you are preparing the important topics in Maths for IIT JEE, it would be helpful for you if you follow the pointers mentioned below -
Know the syllabus thoroughly.
Find the most important topics.
Go through the previous years’ papers.
Choose minimum study materials.
Give regular mock tests.
Now, that you know the important topics in Maths for IIT JEE, choose relevant study material and start preparing.