IIT JEE Mathematics Important Topics for JEE Exams

by Asmita Kundu, August 21, 2020

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.


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:


SL. No.

Differential Calculus

Integral Calculus


Application of Derivative

Area under Curves


Functions

Definite Integration


Limit and Continuity

Indefinite Integration


Application Derivative

Differential equations


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 

  • 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 demand 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 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 -

Topics

Weightage of Marks

1. Coordinate Geometry

20

2. Integral calculus

12

3. Limits, Continuity and Differentiability

12

4. Complex Numbers and Quadratic Equation

8

5. Three Dimensional Geometry

8

6. Vector Algebra

8

7. Matrices and Determinants 

8

8. Statistics and Probability

8


Besides, these above mentioned topics, the topics given below also carried considerable marks -


Topics

Weightage of Marks

  1. Statistics and Dynamics

4

  1. Mathematical Reasoning

4

  1. Trigonometry

4

  1. Permutations and Combinations

4

  1. Differential calculus

4

  1. Differential Equation

4

  1. Differential Equation

4

  1. Binomial Theorem and Its Application

4

  1. Sequences and Series

4

  1. Sets, Relations and Functions

4


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:

  • 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 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 1 

Topics

Weightage

  1. Application of Derivatives

15%

  1. Definite Integral

12%

  1. Permutations and Combinations

12%

  1. Matrices

12%

  1. Circles

10%

  1. Limits and Continuity

7%

  1. Hyperbola

7%

  1. Probability

7%

  1. Complex Numbers

7%

  1. Ellipse

5%

  1. Sequence and Series

5%


Important Topics in Maths for IIT JEE Paper 2

Topics

Weightage

  1. 3D Geometry

21%

  1. Application of Derivatives

20%

  1. Definite Integral

14%

  1. Theory of Equations

10%

  1. Trigonometry

7%

  1. Area of Bounded Regions

7%

  1. Limits and Continuity

7%

  1. Probability

5%

  1. Matrices

5%

  1. Sets, Relations and Functions

5%


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.

IIT JEE Mathematics Important Topics for JEE Exams