IIT JEE Mathematics Important Topics for JEE Exams

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 that 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 first analyse the weightage of every topic. For this, they can either go through the previous years’ papers or get help from reliable online sources.

To help you out, here is a detailed discussion of important Maths topics for this exam and the strategy to tackle it. Read till the end to find out more!

Important Topics in Maths for IIT JEE (Main)

To qualify for JEE Main, 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 for this exam. You should emphasise on those topics which have more weightage in this exam. To do this, you can go through previous years’ papers and find out the weightage of each topic. In general, the following topics are the most important Maths topics for IIT JEE (Main).

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 a circle, parabola, ellipse, hyperbola and pair of straight lines.
  
  

2. Calculus

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

• Direction cosines

• Direction ratios 

• Section formula 

• The angle between two intersecting lines 

• Equation and shortest distance of skew lines

• Coplanar lines

4. Algebra

It is one of the most important topics in Maths for IIT JEE.  This topic, like most other topics of IIT JEE, demands clarity of concept. Under this topic, there are several sections which can be classified as follows:

• Quadratic Equations

• Series and Progressions

• Permutation and Combinations

• Binomial Theorem

• Matrices and Determinants

• Complex Number
  
  

5. Trigonometry 

This is a formula-based topic. Therefore, you must make it a point to revise the crucial formulae regularly. From this section, you can expect questions related to standard trigonometric identities, and solving these questions will demand significant grip on the formulae.

The topic mentioned above are of great significance if you want to qualify JEE Main. However, you should always go through the previous years’ papers to get a better understanding of the weightage of every topic.

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 Main and JEE Advanced are almost similar except for a few topics. If you are already preparing for JEE Main, then it is easier for you to cover the syllabus of Advanced. However, while preparing for JEE Advanced, you should study every topic in detail. 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 Advanced are quite similar to that of JEE Main. It includes:

• Conic Section

• Circle

• Calculus

• Vector and 3D Geometry

• Trigonometric Equations

• Sequence and Series

• Triangle and its Properties

• Quadratic Equations

• Permutation and Combination

• Complex Numbers

• Probability

While deciding which are the important topics in Maths for JEE Advanced, 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.

JEE Main Syllabus with Weightage for Mathematics (Topic/Chapter-wise)

JEE Advanced Syllabus with Weightage for Mathematics (Topic/Chapter wise)

Some Books to Refer

While studying these important IIT JEE Maths 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

When choosing study materials, you should choose only those that are convenient for you. However, before selecting, make sure it is reliable.

Difference in Approach 

Some Additional Tips to Remember

While you are preparing the important topics in Maths for IIT JEE Main, 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 of JEE Main.

• 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.

Conclusion

Understanding the crucial topics is pivotal for IIT JEE's success. For JEE Main, prioritize topics like Coordinate Geometry, Calculus, 3D Geometry, and Algebra. In JEE Advanced, delve deeper into Conic Sections, Circles, Vectors, Trigonometric Equations, and Probability. 

Referring to books like RD Sharma, S.L. Loney, and M.L. Khanna can enhance your preparation. Recognize the difference in approach between Main and Advanced. Regularly revise formulas, practice mock tests, and understand the logic behind each topic. Mastering these important topics is your roadmap to IIT JEE success. Start your focused preparation now!