Important Topics, Books, Tips for Ace Maths Section

The Mathematics section of the Joint Engineering Main Entry (JEE) is considered the most difficult by many JEE aspirants. Many fear this topic while others love it. To achieve good results in mathematics, students should practice regularly and adhere to the following suggestions.

Essential chapters in mathematics

In mathematics, calculus, trigonometry, matrices and determinants, permutation and combinations are some of the important subjects in which students can get good grades. Therefore, students must have a thorough understanding of all these topics. They must also be able to relate complex numbers to coordinate geometry and vectors.

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Students should be proficient in coordinate geometry, vectors, 3D, and algebra and should have the ability to solve complex problems. For calculus, students should have a good grasp of basic functions and their graphical behavior. For problems related to probability, students should have a solid understanding of permutations and combinations. For trigonometry, memorizing formulas and honing problem-solving skills can be improved with regular practice. The next point will be very helpful.

Important books

JEE senior aspirants should prepare from relevant books while strategizing for the exam. It is also recommended not to refer to too many books. The JEE Main 2022 preparation should start by going through the NCERT books as well as the study materials provided by the coaching institute. Students should not waste their time by referring to irrelevant books. Therefore, in-depth knowledge and guidance is needed at the time of preparation.

Some of the books are given here for reference:

— NCERT example

— IIT Mathematics by ML Khanna

— One-variable calculus problems by IA Maron

— Trigonometry and Geometry by SL Loney

Solve the previous year’s proofs and practice through mock tests

Students need to solve past years papers of JEE Main in order to grasp the latest trends because every year several drastic changes take place in the exam pattern as well as the level of complexity of the exam. Students must solve at least 20 to 30 mock tests before taking the entrance exam. They must pass timed tests to measure their speed and accuracy in solving complex problems. Mock tests help sharpen the mind according to exam conditions and help students build confidence. If students are exposed to many mock tests, their brains will be trained to solve similar type problems easily, and they will not find the real exam to be different from the mock tests.


During the last days before the exam, students should focus on proper review and practice. Students should use this crucial time to reinforce their knowledge and concepts by reviewing them and practicing as many questions as possible. During the last days before the exam, students simply have to go through their notes and review all the formulas. Students should be sure to plan their review as effectively as they plan their initial preparation including error analysis.

Know your strengths and weaknesses

At this stage, students should understand what they are good at, what section or area they are strong in, and where improvement is needed. This knowledge can help them analyze their strengths and weaknesses and devise strategies such as which section to try first, how much time to spend on each section, and what type of questions to answer first.

Get help, if needed

Students should not hesitate to seek help from their professors or peers at any time during their preparation. Whether it’s a concept that needs further clarification or the right approach to attempting the exam, they should seek help and guidance. Students should make the most of this time to remove all doubts, reinforce knowledge and be confident about preparation.

Replicate a real exam scenario

While practicing for the exam at home, students should try to replicate a real exam scenario as it can greatly help in solving their exam anxieties. They need to find a secluded space and keep all distractions at bay. It is important to clock the clock at 3 o’clock and take the test at the same time as the exam. This will help their body clock get used to the exam clock. Everything should be a complete replica of what students will experience on exam day. This will familiarize them with the real exam scenario and build their confidence.

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Tips to better prepare

The following points will serve as an ongoing centerpiece to a better preparedness strategy:

Deeply understand derivations. Ask yourself questions like: What is the need for such a formula? What steps or techniques are used to arrive at the conclusions? Where to use this formula? All justifications should be probed.

The diagram of the solution to a problem must be worked on. A typical question often requires a combination of various concepts and their interrelationships. Analyzing them helps to reinforce the concepts and imbibe the required skills.

During the exam, picking up the problems on the basis of easy, medium and hard and trying them in that order goes a long way to ensuring success, as initial success builds confidence and calms the mind to think more analytically about the issues. the toughest remaining issues.

It is further emphasized that at least 80 to 100 problems should be practiced daily to keep in good condition. A single good source with a larger number of questions is much more effective than having multiple sources.

An observation of the bar graph of the distribution of mathematics chapters shows that chapters like three-dimensional geometry, the application of derivatives, limits, continuity and differentiability, and matrices and determinants constitute a higher number of questions in JEE Main.

— Written by Ajay Kumar Sharma, National Academic Director (Engineering), Aakash Educational Services Limited

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