How to prepare for JEE Mathematics with EduRev? | Mathematics (Maths) for JEE Main & Advanced PDF Download

Mastering mathematics is the gateway to unlocking the doors of your dream college. Your performance in the JEE exam's mathematics section can be the game-changer, determining whether you secure that coveted spot or miss out. Achieving over 90% in the JEE Mathematics section is not just a possibility; it's within your reach. However, to stand out as the best, you need more than just routine preparation. This EduRev guide unveils a proven strategy used by top exam achievers, offering you the key to not just success, but excellence. Get ready to embark on a journey that could reshape your academic destiny!

How to prepare for Mathematics?

Dive into the secrets of JEE success with EduRev's expert-crafted syllabus and strategy for mastering mathematics. Our team has meticulously analyzed and compiled the top tips and strategies directly from JEE mains toppers, including trailblazers like Vavilala Chidvilas Reddy (AIR 1 in JEE Advance 2023 and 100 percentile in JEE mains 2023), Ishan Khandelwal (100 percentile in JEE mains 2023), Nipun Goel (100 percentile in JEE mains 2023), and Allam Sujay (100 percentile in JEE mains 2023). This isn't just another guide – it's your ticket to unlocking the full potential of your mathematics skills and aiming for that perfect 100 percent in the JEE exam. Get ready to transform your approach and conquer the mathematics section like never before!

Step 1. Understand the syllabus and previous year's questions.

• Embark on your JEE journey with a powerhouse strategy! First up – unravel the mysteries of the syllabus and delve into the treasure trove of previous year's questions. To conquer the JEE exam, it's crucial to decode the exam format, scoring nuances, and the pivotal topics. Take a deep dive into the weightage of each subject – the golden key to exam success lies in understanding what really matters.
• But here's the kicker: don't just stop at the theory. Immerse yourself in the real battlefield by tackling a few JEE Previous Years Question papers. Feel the pulse of the exam, unravel the patterns, and gain insights into the different units. Not only will this sharpen your skills, but you'll also discern which chapters pack a punch and which ones are a breeze. Ready to transform the way you approach JEE? Let's make the syllabus your ally and previous questions your roadmap to triumph! Dive into the action and check out the previous year questions (PYOs) on this link.! 

Step 2. Start building your concepts.

Step 2.1  Tips before you start working on the concepts.

• Gear up for success by crafting a dynamic study schedule – your passport to conquering the JEE exam! Forget last-minute cramming; this test demands a strategic approach. Given the vast syllabus and formidable difficulty, it's time to chart a course. Your schedule should be more than just hours on paper – it's a blueprint for triumph!
• Dive into the heart of concepts – no more mindless memorization. Understand them at their core, unraveling the mysteries instead of just skimming the surface. Be the architect of your notes, capturing the essence of each new topic. Edurev's treasure trove of revision notes is your secret weapon – save and conquer! Or you can check out and save the tones of revision notes provided by Edurev. 
• Challenge yourself – tackle problems head-on before peeking at the answers. This isn't just about right or wrong; it's about honing your problem-solving prowess. Ditch the calculator; it's time to flex those mental muscles. Speed and accuracy are your new best friends.
• Practice, practice, practice – make it a ritual. Regularity is the magic wand to mastering the math section. Dive into chapter notes, videos, and relentless practice. Let the rhythm of consistent effort be your guide to acing the JEE math section. Ready to turn your preparation into a thrilling journey? Let the math adventure begin!

EduRev provides complete chapter notes, videos, revision notes , tests and much more on its Mathematics for JEE course. 

Step 2.2. How to study the different topics of mathematics syllabus.

The NCERT books for mathematics will not be sufficient but you should solve NCERT books to understand the basics of mathematics. To clear the mathematics section, you will need to practise advanced questions from reference books such as Vikas Gupta, the link for which is available here. You can also practise questions of JEE level at EduRev as EduRev provides tons of tests in each chapter.

The syllabus of mathematics for JEE can be divided into four parts: Algebra, Calculus, Co-ordinate Geometry and Trignometry. Let’s discuss the strategy to study them.

1. Algebra: Algebra is one of the easier topics to prepare for in JEE. You should focus on understanding the basic concepts and increasing the calculation speed as it is enough to score high in the algebra section of the exam. The important topics in the algebra section are as follows:   
   (a) Progressions and Series  
   (b) Binomial Theorem  
   (c) Sets, Relations, and Functions  
   (d) Differential Equations  
   (e) Probability  
   (f) Complex Numbers  
   (g) Permutation and Combination  
   (h) Quadratic Equations and Expressions  
   (i) Matrices and Determinants
2. Calculus consists of two subsections: Differential and Integral Calculus, and it is one of the largest mathematics sections. It is also one of the key topics for JEE preparation.  It focuses on learning operations and using them to solve equations. In the JEE Maths portion, problems with theoretical as well as practical concepts have almost equal weightage. The important topics under Calculus are as follows:   

   A. Differential Calculus 
   (i) Limits and Continuity
   (ii) Application of Derivatives
   (iii) Differentiation 
   B. Integral Calculus 
   (i) Indefinite Integral
   (ii) Definite Integral
   (iii) Area under Curves

3. Co-ordinate Geometry: This is another easier topic in the mathematics section of the JEE exam in which it is possible to get a full score. The important scoring topics in coordinate geometry are straight lines and circles. The other topics that come under coordinate geometry are: Circle Hyperbola, Parabola, Eclipse  

4. Trigonometry: Trigonometry is comparatively a small part of the mathematics sections, but its applications can be found in other sections as well. To score well in this part, you should focus on your basics and memorise trigonometric formulas. You should then practise as many questions as you can. The important topics in trigonometry are trigonometric ratios, trigonometric functions, inverse trigonometry and heights and distances.

Unlock the secret sauce to acing JEE mathematics – applications are the game-changers! Your journey to a top score demands a laser focus on these mathematical power moves. Dive deep into the realms of geometry applications, the magic of differential equations, the mysteries of conic properties, and the symphony of algebraic results. But here's the golden tip: don't just study, master them!

Step 3. Memorise formulas.

Supercharge your JEE journey by mastering the mathematical symphony of formulas! In the high-stakes arena of JEE exams, speed and accuracy reign supreme, making formulas your ultimate power tool. Imagine the thrill as probability, geometry, calculus, algebra, and trigonometry unite in a dance of formulas, propelling you towards victory.Here's the game-changer: don't just memorize, own them! Craft your formula sanctuary – a dynamic table pulsating with the magic of each chapter. Let it be your daily guide, a blueprint to formula mastery. What seems like a mountain of formulas today will morph into a second nature routine over time.

But wait, there's more – formulas aren't just studied; they're lived. Dive into the formula oasis of EduRev, an expansive vault of mathematical gems awaiting your exploration. Ready to transform formulas from a challenge into your secret weapon? Brace yourself for a formula revolution and conquer the JEE with unrivaled speed and precision!

Step 4. Attempt chapter-wise tests.

Kunal Pal, who scored 99.36 percentile in JEE mains 2020 without coaching, followed the strategy of attempting various questions after completing each topic. According to him, even if it would take 1.5-2 hours to solve the questions, he would do it as it was crucial.

• You can give chapter-by-chapter and topic-by-topic tests while preparing Mathematics chapters to get a better grasp of your weak and strong areas. Each chapter of EduRev's tests contains roughly 200-300 questions. Check the tests available in each chapter at this link. 

Things to remember while practising questions: 

Break free from the common trap! Many students fall into the habit of merely glancing at questions and rushing to the solutions. But here's the game-changer – this approach won't lead you to a high score; instead, it could be a roadblock in your learning journey. Let's revolutionize the game!

Flip the script: first, take a stab at solving the question solo. Feel the thrill as your thought process evolves, developing a strategic approach to tackle any challenge. Unleash the power of self-discovery – pinpoint your strengths and unearth those tricky weak spots. It's not just about getting the right answer; it's about refining your problem-solving prowess.

Embrace the confidence boost! Imagine solving 60-70% of questions independently. That's not a dream – it's a reality waiting for you. Shift your mindset, elevate your learning experience, and watch as your confidence soars to new heights. Ready to embark on a journey where each question is an opportunity for growth? Let's make learning a thrilling adventure!

Step 5: Practise, Practise, Practise.

• Now, Once you've covered the full curriculum and have practised enough questions, it's time to amp up your revision game. At least two months before the exam, you should start attempting the complete PYQs and full mock tests.

• PYQs help you identify your areas of strength and weakness. Additionally, it will help you practise for the exam day and develop your time management skills. Your confidence will increase and it will help you get ready for the test if you attempt questions from previous tests. Edurev provides previous year questions from the past 35 years. Click on the link to start solving them.

• Attempt simulated tests(mocks) after completing PYQs. When you are attempting complete mocks, you will start learning management of time as well as the discipline to sit straight for 3 hours. For complete mocks click here.

•  You can get an All India Rank by taking mock tests on EduRev (AIR). Analysing your performance in mock tests and then fixing your weak areas will give your preparation an extra push.

Step 6: Avoid silly mistakes on the D-day

• Elevate your JEE score by conquering the art of precision! Imagine a checklist, your secret weapon against silly errors that might cost you precious points. Dive into the battlefield of Section B, where you wield the power to choose your challenges wisely – opting for questions that demand fewer calculations and maximize your score potential.
• In this mathematical maze of 25 questions, discover the goldmine – 40% to 50% of them are straightforward, 10% to 20% are easy, 20% to 30% are moderate, and 20% to 30% are hard. Unleash your strategic genius; tackle the simpler ones first to secure those crucial marks. Time is your ally – use the first 90 minutes to sprint through, setting a solid foundation above the cut-off.
• But here's the twist – it's not just about speed; it's about precision. Navigate the exam with a two-fold strategy: speed in the initial sprint and precision in the final stretch. You can't afford to spend more than 2 minutes per question, but fear not, we've cracked the code. Follow this dynamic strategy, and watch your score soar to 90+ in the JEE math exam. It's not just a test; it's your ticket to the dream college – grab it with both hands!

The most crucial tip

The best and most effective way to perform well in the JEE Mathematics section is to develop a positive outlook on your practice results. Even if you perform badly on a test, remind yourself constantly that you can improve next time. JEE Mains is a national exam, therefore it makes sense to feel anxious about it. However, your optimistic outlook will help you increase your confidence and motivate you to keep improving. Conversely, if you become tense, you will begin to doubt your abilities and surround yourself with negativity. In the end, all of this will cause a decline in your results. So, remember the most important tip, to stay positive.

Weightage of different topics

The weightage of different topics is given below: