Maths is the key subject to getting good ranks in the JEE Main–as well as in the JEE advanced. JEE maths plays the role of separating the best from the whole lot. In order to excel in the JEE, one needs to be clear about the mathematical concepts, and should have practiced a great number of JEE-level problems.
Maths is not just a subject for the JEE, rather it is a tool that runs deep within all the subjects one prepares for. Be it Physics or Chemistry, Maths is always required in its conceptual level for all. JEE maths as a subject sounds tough to some people, but for an honest aspirant, it is a journey full of fun and learning. JEE maths deepened my interest in Maths as a subject and made me see its implications and use as a tool for various aspects. My advice to you will be to focus on Maths during your JEE preparation because it is the most fun if you put effort into learning the concepts. The following tips will help you enjoy and crack JEE Maths with ease.
1. Be Regular and Do Not Fall Back
While preparing for JEE Maths, being regular is really important. Without regular and diligent study it would get tough to finish the course on time, and you will eventually lose confidence in yourself.
Tips for being regular would be to stay motivated and fresh always. Have a fixed target and be motivated to achieve it. Do not procrastinate on tasks, and try to set achievable but challenging targets for yourself. In Maths, it’s important to realize that almost all of the concepts are equally important, and the questions will test you on all of them. Inadequate knowledge of any concept can ruin your chances of cracking the JEE. So be regular in reading the concepts and solving problems.
2. Be Book Specific
By this, I mean that you should not try to solve all the books you hear of and end up completing none. I would suggest you pick a good book and complete that book honestly and fully. Completing a book gives you immense confidence and a boost to your JEE preparation. I always preferred solving a single book completely rather than buying different books and partially solving each of them. Solving a single book for a particular chapter helps you cover the entire course and all the concepts with great clarity and helps you get a taste of all the types of problems you may face in the JEE. Other than a book you should use previous year archives of JEE problems for solving questions and solve sample papers from various institutes. So do not run around with a lot books. Take one and complete it diligently.
3. Practice, Practice, And Practice
The key aspect of preparing for JEE Maths is an extensive practice of comprehensive problems which test the conceptual grip of the person rather than testing just the applications of a formula. Solve numerous problems from previous years’ papers and your reference book so as to get yourself clear of all the problems you may face in the examination. I would list some sources for practicing the problems:
- Previous year JEE papers
- Reference books
- Sample papers from reputed institutes
- Comprehensive problems of respective teachers
Diligent practice from these sources guarantees clarity in your concepts and ease in cracking JEE Maths.
4. Good Rough Work
While solving maths problems in the JEE, one needs to maintain a clean rough work. It helps to ensure easy backtracking in case of some error in the solving process. Always try to maintain a clean rough work and try to write all of the important steps. From my personal experience, I found that clean rough work helps to minimize errors in solving questions and improves the speed of solving. It also helped me to develop a good intuition which proved to be useful to skip some steps while solving a problem as well as to keep my mind active during the exam. Some ways to maintain a clean rough work are:
- Divide the spaces for rough work according to the questions you want to solve.
- Do not scribble much and try to write everything in a clear and legible handwriting.
- Try not to write useless steps and keep them in mind instead of wasting paper space.
5. Always Look for Exceptions and Unique Cases
In JEE Maths, you will face many problems which test you on the boundary value of various problems, or some unique cases which won’t be so obvious. So try to be cautious with these cases. Always keep your eyes open for the cases like:
- Discontinuity in functions
- Domain and range of functions
- Some special cases in permutations and combinations
- Repeating roots in some solutions
These cases can be crucial for the exams, as such things make a person regret not thinking of it earlier. It is crucial that you do not commit blunders in these areas, and then losing precious marks.
6. Try To Be Subjective In Your Preparations
The availability of multiple choice questions has degraded the skills of pure maths that JEE used to work upon. Children use an elimination strategy to effectively find out answers in the exam. But I would suggest you go subjective in your preparations.
Always try to solve the questions with a conceptual clarity. Don’t be simply answer oriented. It helps to improve your thinking ability and reduces the chances of losing marks due to blunders. Solve subjective problems which will help to clear your concepts. Try solving the comprehension type problems of Calculus. They used to be my personal favorite considering the conceptual copiousness they had. Your preparation should be such that any question that provokes thinking should excite you.
But of course, your aim is to get marks and that does not come by just thinking in the exams. Try to be subjective in your preparations but make sure that you are reaching correct answers and not just arriving at more questions.
7. Important Chapters and Tips To Tackle Them
Some important chapters for JEE Maths are:
- Conic sections: This requires remembering the properties of the conic sections and proper application in problems. Practice is the key to success in this topic.
- Quadratic Equations: This is a very conceptual part of JEE Maths. And although it does not seem too tough it is widely applied in all other chapters–which makes it very important. Remember the concepts well and practice a lot for success in this chapter.
- Permutations and Combinations: This is one of the chapters where the maths is easy but you have to think a lot and keep your brain active. Being careful in solving these problems, and solving different types of problems is the key to success in this chapter.
- Differential Calculus: It is a very thought-provoking chapter and includes a lot of thinking and interpretation of results and facts. It tests how well you apply certain known things and applies that in geometrical and functional maths.
- Integral Calculus: This is a very rigorous topic which requires immense practice to be quick in solving problems. The definite integral part is full of concepts, but the indefinite integral part requires immense practice in order to perform well in the exams.
Hope these tips help you in your studies. Good luck!