Summary of the video 😅 Pick a good textbook: Focus on a book with strong explanations over one with many solved problems. Study the core concepts: Read and understand the theorems on your own. Reproduce the theorems: Without looking at your notes, try to rewrite the theorems from memory. Think about the implications: Consider what other results might follow from the theorems. Solve examples yourself: Figure out how the theorems apply to the solved examples before looking at the solutions. Solve problems in order: Start with easy problems and work your way up. Don't skip ahead. Analyze your solutions: After looking at a solution, reflect on why you got stuck and how you could have approached the problem. Analyze your successes: When you solve a hard problem, think about what helped you reach the solution.
Totally agree sir. It baffles me that a lot of people don't emphasise on proving theorems and I'm glad you did. It is exactly when we prove theorems on our own, we get different ideas and be able to derive a few corollaries from them.
This is one AMAZING video. I am an AI engineer myself and I love math. I have been studying math (and data structures for programmers) the exact same way throughout my life. So many points that you mentioned are already ingrained in my head and I'm glad that I most of the times predicted what you were going to say. Postmortem analysis of why you were not able to solve the problem and why your thinking didn't reach there, trying to find the solution yourself, questioning why you were able to solve the problem and not just moving on after solving it so you could re apply that thinking in the future, connecting what you've learned to what you're learning and clearing the confusion, brainstorming on corollaries surrounding the theorem and not just being satisfied after reading the theorem itself, concentrating on not just how but "why" of what you are reading, trying to predict or derive the conclusions yourself from the information you've read until now before completely reading the text, etc., are the paths to mathematical maturity. Plus, sometimes you DO have to brainstorm on easier problems to build that base before moving on to the complex ones. For e.g., it's better to first understand why area under a curve is the antiderivative and why integral is associated with "summing" before moving on to multivariate calculus. Understanding the absolute basic things like this help build the strong concepts. It still happens to me very often. Don't just understand Dijkstra's algorithm. Understand "why" it works. Don't just understand the formula of entropy. Understand "why" the formula of entropy is the way it is before moving to anything complex in information theory. And so on. So overall, this is a FANTASTIC video and should be shared with everybody who actually wants to be good at math.
Your comment is very right comment in comment section,Mostly viewers didn't understand what Professor want to explain here.. He telling how to Know math and make yourself as Solution.
Sir, I am a student who is just about to begin his first class of class 11 in a few days' time. Thank you so much for making these videos. As a JEE aspirant, I cannot overstate how valuable your videos have been in showing me the path I should take. Thanks to your videos, I can now avoid the study mistakes I would have done otherwise. I have a few questions: 1. I always face a problem related to competitive exams (such as Olympiads) - speed. When facing a new problem, I have a tendency to find very unoptimized, long-winded solutions which waste a lot of time (For example, my first derivation of heron's formula went on for three pages; after solving it I realised that there was an alternate solution which took only one page). No matter how much I practise, I have not been able to overcome this problem. Since unique, never before seen questions are quite common in Olympiads and such, I really struggle with time management. Is there any solution to this? 2. Besides NCERT, which book would you suggest for studying mathematics? 3. While preparing for JEE, can I have side activities like coding, playing video games/outdoor activities, etc.? Again, thank you for making these amazing videos. I am really excited of what you might bring to the table in the future! I eagerly await your response.
Ya I also have the same problem, I can solve the problems, even the Olympiad level problems, but the time is ticking so fast for me, actually too fast, I would also request sir to upload a video on this! Would be a great help for students struggling with time management, awaiting the video on this topic :)
Yes Sir I'm taking drop with 92.98 percentile in 2024 due to health issues..my Target is mechanical engineering in IIT KHARAGPUR & WILL SEE YOU THIS MESSAGE 😊
This is the real meaning of maths and everyone needs to learn that maths is not just about fast and accurate calculations ... it's moreover about the skill of analysis prediction and comprehensive critical thinking which a student must develop in early stages and as Indian maths is in out blood we just need to extract it through critical thinking (kind of overthinking on a simple problem to get complex solution or making simple solutions to complex problems ). THE DAY on which you achieve the level of acceptance to maths that you find Multiple methods and uses of a simple problem to get accurate answer you will be a great mathematician... This guy is the best mentor for maths trust him and try to get best out of you In limited lifetime you have .❤❤
Hope our messed up system changes according to the same too... the mental state of students during their prime teenage years, the times when they have a spongy brain and need to absorb the good things in life, including math in a creative and interesting way, along with other activities.... is being destroyed, hope things change
@@SAGNIKANIVSAHOO-wg2lf exams are not at all only focused on calculation even in most of the current day examinations 80% of the focus is to check the mental capabilities and fast problem solving skills Fast calculations are just a basic need for companies and teachers to better be able to make students or their employees understand
You are spot on 🙏 ! But.........To go deep in understanding a topic, free and relaxed mind is needed. Unfortunately, when the student comes back home (after 8 hours of school and transport), has to do useless homework for several subjects, there is hardly any time of free mind to THINK! Second, the school teachers get students to do sums from private textbooks which are of higher level or ideally should be covered in higher classes. The teacher feels proud, the more difficult sum a student can solve. This causes student to lose interest in Maths, frustration sets in and student starts hating this lovely subject.
I did rely on self study quit a bit but sometimes a friend could explain certain concepts in a way that the professors didn't that made it finally click for me. It also seemed that at a certain point, the higher maths were easier for me to grasp. I suspect it was due to plenty of practice I had in the lower maths and a wider knowledge base to draw upon.
Yes, Sir. I totally agree with you. At the end of the day, it is all and all about you. Scientists/philosophers/researchers spend their time in solitude with their thoughts, let themselves contemplate the truth about various matters. Be it as simple as why does 1 plus 1 equals 2, when you realize it on your own, it will start helping you see the beauty of the subject that you want to pursue. You will start seeing the patterns/theories of what you have realized in various stuffs. You will start drawing those patterns together, and that is what makes any subject beautiful. You seeing the matter in your own perspective. Most of the times, it is about REALIZING the subject rather than just learning it. It may not be right always, but hey, science has always been a good friend of yours, it allows for mistakes to happen and lets you analyse it from the scratch. And teachers, here, play a very important role, like Sir told, in giving a more mature perspective. After all, be it any field of science, all of them are subjects based on perspectives of studies. And pure mathematics, does hold value for perspectives, approach and thoughts. While problem solving may only chisel your skills, it is, indeed YOUR INSIGHTS that will be your strength. As a person once said, scientific achievements have always taken place when one "Stops learning and Starts Thinking".
I was impressed when he said that may you would score good marks by any book that only focus on marks but it will not help in developing maths intelligence...
Its a fact that nobody reads Math book everybody just rely on the teacher for theory and explanation and they put zero effort on understanding theory on their own and afterwards they directly jump on to problem solving . even I did this mistake in 10th grade but from now I will make sure that not to repeat this mistake wonderful video sir , THANK YOU EDIT - I had a misconception that by solving question you understand the theory completely but that's not true
exactly me too i used to think the same that after teachers explanation i can do problems on my own and then in 11th ending i realized not to do that and study everything on my own
Sir whatever you said is so true and I had tried this for 1 chapter of maths and it worked out well too, but it did more damage than gain. It took me a long time to complete this chapter because I was doing it by my own and I fell back in my coaching (specially in chem, atomic structure and periodic properties are literal backlogs now). This methodology is difficult for a coaching student. Yes my speed would significantly increase as time would pass by but till then I can gurantee that many chapters of mine would become backlogs. Coaching finishes syllabus in speed and tests stuff.
If you start doing this in 11th then obviously you are going to be slow and fall back. This system has to be started in High School itself so that by 11th this system gets internalized and the speed also becomes high in the correct process.
I agree with the facts, sir you told in recent video. Being a maths teacher I am looking for the best preparation mthod of maths subject till higher secondary level. which will equally effect beyond this level. Thanks for giving such a valuable guidance to teachers community as well as students. We will be watching regularly vedios on mathematics with students to spread up your (based on the subject) ideas. Because maths has developed a kind of abstractness in itself which crossess the pattern matching practise rather than comprehensive theorems. Thank you.
Main points of this video 1. Self study is the key of deep learning 2. Understand the Theorem by yourself deeply by using good books. 3. Now close the book and write down the theore without looking 4. Take a question and apply your knowledge of Theorem in it. 5. If you not get the solution then see the solution and ask why i couldn't think this way and if you able to reach the solution also question how i'd manage to think that way. These suggestions are really valuable for comprehensive and deep learning of mathematics.
@@Studentaccount-lz3cd try solving problem on your own ....you may take 1 to 3 days to solve one problem...but that will become the base......one more thing is try solving problem in a smart manner ....for eg if you have solved a problm try to think of a better approach "ON YOUR OWN"
@@Studentaccount-lz3cd try to understand the theory before attempting the question, understand the meaning of differentiation and integration through the concept of LIMIT
Sir please make a video on what we actually study in engineering and also about different branches as most of us are unsure about this. We don't want to regret one of the most important decisions of our life.
My advice: Understand why the answer to whatever problem IS the answer. Work on proofs Try to find different ways of doing the same problem. Actually understand and imagine the problem and numbers in your mind. Let your mind be creative. Don’t restrict yourself to one method. Don’t be afraid to try a new method or a different approach out by yourself for a problem. If you come to a dead end, at least you tried something new.
You make some very good points on the role of a teacher and an emphasis on self study. I am a 68 year old and not a mathematician by training but nevertheless help younger members of an extended Indian family particularly when they reach out to me before exams as they are having difficulties. It's often too late as they need more time to gain insights into topics. Recently my wives niece approached me and said that she wanted help on a number of topics like ratios and circle theorems etc. I said what is the problem and she said she can do the easy ones but not the hard ones. I explained that they are all easy but reason you find some some problems hard is that you have not gained the true insight of the subject. She was not aware of what a quadratic equation was but could factorize a quadratic expression simply by putting in the variable x in two brackets and find the appropriate numbers so that when expanded the original expression was obtained. She did not know that each bracket was a factor of the original expression until I pointed this out.
Sir, it would be also great if you do more polls like the newest one you did with an interesting problem :), it is really fun and an exciting challenge to solve a problem like the one you chose this time :)
Sir kya ap logo ko nahi lagta ki Jee advanced ke liye 3 attempt hone chahiye ek bar student ke point of views se dekye 😢 except jee adv baki aur jitne bhi is desh me competitive exam hote hai sab me multiple attempt hote hai . Sir please ek bar bas student ke point of views se soch lijiye ga .😔
I am so happy that I came across this topic that is given by you sir. Let me share my journey with the mathematics during my diploma studies in Electronics and Telecommunications in Bangalore. To start with I have to state that I could score only 41% in my high school final in 1958 that too in second attempt. Joined in the polytechnic here in 1981 ( Evening college). During the 1st year I was afraid of the maths because of my poor mark's in the school final experience. Some how the maths study was going on well because of the teacher. Still to get more deeper I bought 4 different maths books by 4 different authors and studied. This self study helped me a lot. By the time the exam came I was so confident that I will score 100% to that extent I had prepared myself. But I got only 82%. Because there was no time left to attempt all the questions though I was knowing to answer it. Among all the subjects only the Beautiful Maths gives the happiness to the mind since we don't need any one to say it is correct or not. We can know it ourselves. This I am writting at the age of 80 years as (Flsah back). Thought it will be an encouragement to those who study higher mathematics. Once again thanks for the video sir.
This is SUCH great advice! I finally got good at math when I realized what, once understood, I needed to commit to memory, and what I needed to derive. It is analogous to the difference between axioms and rules of inference in advanced courses. It was also a relief to see this, finally.
It would be great if you suggest one good book of mathematics also keeping in mind IIT Jee perspective but at the same time which has theory and illustrations both and would help to learn the subject as it is and not just pattern matching..The main issue is not being able to find a relevant good book..because some books have less theory..some have more, it is all a mess... Btw Sir, your advice and genuine explanation on different issues is such an epitome of your intelligence and profound observation skills..Thank you..
@@adarshyadavanshi8528 tb bhi jee 2 shift me hota tha paper pattern same tha difficulty level jada tha coachings achhe the. my teacher prashant jain sir has secured air 1 in jee maths that year so i think i must follow him
@@_fujini no one is average i have started my prep with sir in 10th. Initially i thought the same but now i understand what is mathematics.Mere teacher amit gupta sir bhi kehte hai tum jb tk pen chlana nhi sikhoge tb tk koi sub nhi sikh skte
Sir ap IIT ke professor hai sir please jee advanced me 3 attempt ke liye kuch karye sir me village se me rahti hu mujhe jee advanced ke bare me 12 ke baad pata chala mere 12 me 97 % aye hai mujhe lagta hai ki me IIT Ja sakti hu but attempt hi nahi hai please sir request hai ap se kuch karye
Bhai woh iit ke professor he iit council ka director nhi Aur dusri bat rhi adv jaisa prestigious exam teen bar conduct Krane se uske standards, class gir jayenge Jo ho liya so ho liya bhai ab kya krna Jam/ gate ke liye prepare krlo
Many IITs now offer online degrees. Should a person give up pursuing a full-time BE/BTech from an unknown private engineering college and instead take up these options? What is your view?
Sir I'm a student who really has a dream to enter into IIT. As you said here, I always used to study maths on my own, I myself will read the introduction, theories and start to solve problems on my own. It really helps me. Mathematics is not just a subject, it is my love ❤ your encouragement really helps me, thank you sir
Bro jitna mujhe pta h tum coaching material hi follow kro refrence books self study ke liye effective h agr coaching material ache se time pe ho qjye phir jao tum refrence book pe
Sir, my problem is- in doing all the things which you have mentioned in this video, while studying it takes a lot of time to complete just one chapter and then I fall behind my coaching or my schedule. So how can we overcome this problem sir ? Should we just skip the thinking process in some questions?
There is no perfect way. Instead try to follow your own schedule and let coaching be a help rather than a remote control that decides your moves. Since your goal is to score well in the exam. Focus on problem solving rather than coaching mock tests and homework. They are merely a pill for you to be disciplined in your studies. Step 1: wake up early. 6 am is fine. Step 2: sleep early 10-11pm Step 3: Joining a coaching does not make you smart solve school books first . If they are solvable. Like you look at them and can feel the calculation happening in your brain good job now you can move to the next step. Step 4: get out of your comfort zone and revise coaching notes mildly before going to bed. Just read and lightly solve.mark doubts.kick introvertedness aside. Step 5: solve jee mains easy questions from a book/module or UA-cam pyq of that current ongoing chapter in your coaching. Before going to coaching!! Just do 5 questions. Let's say u have two classes today physics and maths Do 10 questions HCV of phy ch and 10 questions maths of that ch or just do the questions from your last day's notes. Step6: ignore immoral comments by coaching teachers. "If you cannot do this stop preparing for jee!" "You can happily leave our coaching!" "I will complain to your parents!" Stop listening, hum a song,do a personal karaoke,talk to a friend when you feel depressed. Don't give up but pause and take a chill pill. Step 7: One way focus is not good. Research about other exams like ugee,ipmat,Jamia,amu,cuet DU,NEST,IAT...only check out their pyq and level up according to that. Step 8: Be casual. Don't compare. think openly. Don't watch one shot videos. Don't open UA-cam or whatsapp it keeps your mind fresh trust me. Rather do a hobby like drawing,calligraphy,painting,wwalking, gardening! Step 9: You are smart dude. You are loved dude. You are kind dude. You are powerful!
@@grey698 Brother/Sister, Thank you so much!! for your help and for writing this very long exhaustive answer for my problem. I will surely follow the Step-4 and 5 which I leave and always procrastinate 🥲 Other steps I am following already. And again Thank you so much for step-9 dude. ALL THE VERY BEST TO YOU TOO bro!! 🤜🏻🤛🏻
Sir would you recommend some of the major mathematics books i,e abstract algebra, linear algebra, real analysis, geometry, complex analysis ( mostly theoretical not problem solving) etc. which written in simple language and easily understandsble for students which can help us to develop a strong root in Mathematics and help us in further high study in Mathematics . Plsssss sir 🙏 🙏
Hello sir, I am a ninth grader and going to pursue engineering(specifically I will be going to do JEE) I had a natural interest in maths but for last 1.5 yrs due to my school teacher and mugging up of maths I lost my interest in it and I taking it as a subject to mug up and memorise formulas instead of logical thinking and problem solving. Could you please take a few minutes and guide me? Thank you for your videos sir!❤
I'm a 10th grader student and I have the same dream as you and situation like you because my math teacher is changed in school and some people said that I have to give equal time to all the subjects as a result I lost interest in maths but i don't want that.
Hello! The best thing to do is, try to get intuition about every concept that's being introduced to you! To get intuition there are many resources available over UA-cam! Honestly speaking the intuitions I developed during my school days helped me a lot during my jee days, and also helped me clear JEE and enter IIT. :))
@@helfireraj17dont stress too much for 10th, enjoy it because 10th topics arent too hard they just demand some time and a little interest, just focus on what you are good at, try to become the best as much as you can as well as studying other subjects. Usually 10th marks doesnt matter and teachers in 11th tell you to forget what you have learnt till 10th as they view you as “an empty cup” to build you from the ground up so that you are able to handle competitive exams like JEE
If u wanna grindin u can start with math unplugged / mathsmerizing... make sure u dont screw up other subjects once ur in 11th for the love of math.. if u strengthen ur math during those 2 yrs 9-10 u will do pretty well if u don't screw up P,C as math develops aptitude necessary for advanced, search these two channels find ur fav topics or they might have given sequence order start following it if req theory of any subject go for Mohit TYagi.. PYQs for mains are more than suffice along with MU or Mathsmerizing lecs i said or don't try to do both u will have FOMO in later years stick to one... For Adv All this + Adv PYQs+ If time permits CATS (competishun advanced course).. this one msg is more than suffice for ur entire jee journey like I m not writing don't get distracted and shit as u might be well aware anyways enjoy your journey... teachers will guide u better but yeah just a small piece of advice.
Sir you are absolutely right but not getting the solution in right time will also hinder us to progress further and solve more of the questions, whats your take on time management and for solving these problems?
I always believed maths theory should always be learned by one’s self, when we stop relying on teacher for theory we can discover the concepts and then clear misconceptions about concept when solving problems by yourself, the ultimate formula to become a great problem solver is learn theory on your own + solve questions based on what you learn. This is what I learnt from this video thank you prof, I am 11th std student from south India
Ncert is worst book forever............... I am really sorry sir but the concepts are not comprehensive for jee advanced and even boards. It does not give a good introduction and its questions are very much like rote learning. Repeated questions. There are other books which cover basics to advanced level problems without pattern solving and help develop our minds!! Your problem solving tips are more of gems but ncert books are just trash.
Sir i have taken commerce with maths and i am not great but i am also not bad if i practice i know i can do. But the problem is i can't rely upon my teacher as there are only 2 classes in a week of 35 min from which teacher waste half of the time so please can u tell some tips and these tips are really great that u gave.
You simply state there's an 'over-reliance on the teacher'. How do you arrive at this conclusion? What's wrong with enjoying human interaction with someone who knows more than you do? Learning styles are many and varied. There's no 'one size fits all.'
In the era of clickbait and view farming, sir you are one of the last people who actually bother with giving genuinely good information and advice Am really looking forward to binge watchimg your video once my JEE Advanced is dome upcomimg week. Wish me best for it. Thanks
@@Prof_JCGood morning sir,hope you're having a beautiful day Sir i would really appreciate if u share your opinion on what im about to ask because this problem has been eating up my time alot and thus affecting my preparation (2026) Sir as u mentioned in yr problem solving video that we should try to solve a problem on our own and not look at the solution until we are "gasping for breath "(you're exact words) Im RELIGIOUSLY following this but i feel like its not worth devoting hours to one two problems but again u mentioned that hard ones will take longer time Sir im really lost, please guide on what's the max time i should think and try for a question before wasting anymore further time and looking at the solution
@@anzypzy1022 1 yr senior here. Spend time on problems only after you have mastered the fundamentals in chapter. Otherwise you will exhaust yourself mentally and get demotivated. Learn the theory as well as possible for physics and math, then devote more time to problem solving. Directly starting problem solving on 1st or second day of starting the chapter is a waste. Mindful Meditation also helps
@@anzypzy1022 Try problems increasing in difficulty, and learn standard approaches... it should help Don't solve hard problems in the beginning, if you find something hard, taking too long, then try easier ones before you progress to that
There should a different first step. One cannot do mathematics well until arithmetic skills are honed. The die is mostly cast before the fifth grade. After that , it becomes a struggle that makes one feel a bit like Sisyphus.
You are absolutely right. There is a such a thing as fluency in the basic arithmetical skills. Unless that is there, it is pointless to talk about such big things. In the video, the target audience is slightly older students, and I am assuming that they do have the requisite fluency.
Very helpful video sir Sir, I am a student from class 11. I Practice maths even from different book like Rd Sharma.butt sir whenever I went to exam,I don't know why ,I can't answer some questions.it seems like I didn't study anything. unfortunately I did . I want to get full marks but can't.....and those silly mistakes.....
Take cengage, black book by vikas gupta, hall and knight, sl loney. But firstly I would advice preferably follow your coaching modules and archives(pyqs). One you are through and after still that, if left with time, you can move to books I mentioned.
If you cannot say something in 15-20 sec you cannot say it in 15 hrs also. Please come to the point in the first 15 sec if you want people to stay and hear more.
As an electrical engineer I am conversant with higher maths and also attracted by modern physics . However , even though Schrodinger's Equation and the solution of his equation that explains various phenomena including the solution for explaining leaking of electrons through infinite potential barrier and the solution for the Hydrogen atom by using spherical polar coordinates ,leading to establishment of orbital and quantum nos can be understood easily, the Dirac's Electrodynamics is too abstract and a tough nut to crack. Please tell me which series of lectures explains it in a lucid manner . It is said that the SE helps for H2 atom because the velocity of the orbital electron is c/137 but Linear Algebra and Hilbert Spces are to be learnt for understanding Dirac. That part is too abstract!
Hello sir, I've chosen pcm for 11th grade this year, and your videos are very helpful, i am doubtful i might not score well in boards in maths, but that was because of exam fear and time pressure, though i love maths as a subject i don't understand why while solving it in exam i fail to score well
Greetings to you professor from Guyana. I really do appreciate your take on the study of math but how do you explain that after a few weeks of learning the concepts they are forgotten? One has to go back to the examples to retrace some steps after which the procedure will slowly 'comes back'. Is that 'learning' in the first place? Secondly, what would be your recommendation of the best math textbooks for self study? I know you said here you aren't giving any names of textbooks but I am kindly asking you to pick out a few of the all time staples. Thanks.
Sorry sir for asking doubt out of context of this video.... But in fluid dynamics which statement is more fundamentally more correct.... M(in)=M(out) or V(in)=V(out).... M is mass of liquid and V is volume of liquid....in short is (rho)Av=const. Or Av=const Is there any difference in the answer if liquid is compressible....?
@@jeeaspirant7210I was also confused about this initially lol, coz we studied that a1v1=a2v2 in eqn of continuity, but then while solving jee adv problems, involving thermo+ fluid mechanics, the density changed and the density factor came in . So I asked my physics teacher and he also said it's mass in= mass out For ideal fluidis incompressible density doesn't change so we take a1v1=a2v2
Sir as you said that the books shouldnt just focus on the practise question but also on the theory as well, could you please suggest some books for students preparing for jee in clas 12. Is cengage new edition good ??
Thankyou sir.. because of your videos I was able to get where was I going wrong and get to know the mistakes for my lower marks even after completing the syllabus.
First of all thank you so much sir for making video at this topic & i totally agree with your words but Sir you also know that we students have back to back pressure of daily studies such as Study new topic, completing syllabus, solving problems and revision of previous chapters and having scheduled time for one subject in a day...BUT the type of STUDY STYLE which you are suggesting is Very time consuming and (like doing PhD in a chapter) i agree and i have also done this type of thing and i mastered those chapters but it's too much time consuming and as an aspirant if we go with that strategy we invest so much time in one chapter.
This video is about how to properly study mathematics, aimed at students who are transitioning from school level mathematics (up to 10th grade) to higher level mathematics (11th and 12th grade). The speaker, a professor at IIT, emphasizes the importance of self-study in achieving mathematical maturity. Here are the key points from the video: Reliance on teachers for everything is not recommended. Students should rely more on self-study to develop a deeper understanding. Pick a good textbook that focuses on explanations and comprehensive coverage of theorems, rather than just a collection of solved problems. Examples of good textbooks include NCERT books and textbooks written by university teachers. When studying a theorem, don't just read it passively. Try to understand it line by line and then try to reproduce it from memory without looking at the book. This will help solidify your understanding. After studying a theorem, think about the implications of the theorem and what possible corollaries (related theorems) could be derived from it. This will help you develop your mathematical maturity. When going through solved examples, don't just copy the solutions. Instead, try to solve them yourself first by applying the theorems you just learned. Then look at the solutions to see if your approach matches. This will help reinforce your understanding of the theorems. Don't be afraid to solve easy problems. They are important for building a strong foundation and developing problem-solving skills. Don't look at solutions to problems immediately. Try your best to solve them yourself first. Then, when you look at the solutions, analyze why you weren't able to solve them and what you can learn from the solutions. After solving a difficult problem, analyze why you were able to solve it. This will help you identify the thought processes that lead to success.
I self-study a topic before class and do the homework problems so that I know what I’m struggling with. It gives me a clear understanding with examples to show the teacher WHERE I am stuck. It’s not easy, since you have to get the work done in advanced and push really hard to be ahead the entire class, but worth it when the tests come.
everywhere I go everyone assume that we are enrolled in some coaching... Atleast someone is focusing on people who want to learn on ourselves
Same here regarding my son
I totally agree with you, plus I was looking for this comment
The problem is self study is that the books are filled with such abstract definition that it's hard to understand the concept
Its hard but its helpful.
In my case first learning from the teacher then again doing the theory+illustrations from books got this hurdle clear
@@hridayjoshi7247What the means of illustration ?
Bro i think you haven't read cengage!
@@Studywithronakillustrations are solved examples! And illustrations are part of theory
Summary of the video 😅
Pick a good textbook: Focus on a book with strong explanations over one with many solved problems.
Study the core concepts: Read and understand the theorems on your own.
Reproduce the theorems: Without looking at your notes, try to rewrite the theorems from memory.
Think about the implications: Consider what other results might follow from the theorems.
Solve examples yourself: Figure out how the theorems apply to the solved examples before looking at the solutions.
Solve problems in order: Start with easy problems and work your way up. Don't skip ahead.
Analyze your solutions: After looking at a solution, reflect on why you got stuck and how you could have approached the problem.
Analyze your successes: When you solve a hard problem, think about what helped you reach the solution.
Thanksbuddy
Thanks bro😊👌👌
Thank you, Kumar. I'm lazy to watch the vid anyway
Thanks
Dhruv bhai aap yaha?
Totally agree sir. It baffles me that a lot of people don't emphasise on proving theorems and I'm glad you did. It is exactly when we prove theorems on our own, we get different ideas and be able to derive a few corollaries from them.
This is one AMAZING video. I am an AI engineer myself and I love math. I have been studying math (and data structures for programmers) the exact same way throughout my life. So many points that you mentioned are already ingrained in my head and I'm glad that I most of the times predicted what you were going to say. Postmortem analysis of why you were not able to solve the problem and why your thinking didn't reach there, trying to find the solution yourself, questioning why you were able to solve the problem and not just moving on after solving it so you could re apply that thinking in the future, connecting what you've learned to what you're learning and clearing the confusion, brainstorming on corollaries surrounding the theorem and not just being satisfied after reading the theorem itself, concentrating on not just how but "why" of what you are reading, trying to predict or derive the conclusions yourself from the information you've read until now before completely reading the text, etc., are the paths to mathematical maturity. Plus, sometimes you DO have to brainstorm on easier problems to build that base before moving on to the complex ones. For e.g., it's better to first understand why area under a curve is the antiderivative and why integral is associated with "summing" before moving on to multivariate calculus. Understanding the absolute basic things like this help build the strong concepts. It still happens to me very often. Don't just understand Dijkstra's algorithm. Understand "why" it works. Don't just understand the formula of entropy. Understand "why" the formula of entropy is the way it is before moving to anything complex in information theory. And so on. So overall, this is a FANTASTIC video and should be shared with everybody who actually wants to be good at math.
Thanks
I also want to become a AI engineer
And I will ✅
Your comment is very right comment in comment section,Mostly viewers didn't understand what Professor want to explain here..
He telling how to Know math and make yourself as Solution.
'Whether it is easy or hard treat every problem with respect' ~ Sir JC
That level of dedication and sincerity one must have 😊
Sir, I am a student who is just about to begin his first class of class 11 in a few days' time. Thank you so much for making these videos. As a JEE aspirant, I cannot overstate how valuable your videos have been in showing me the path I should take. Thanks to your videos, I can now avoid the study mistakes I would have done otherwise.
I have a few questions:
1. I always face a problem related to competitive exams (such as Olympiads) - speed. When facing a new problem, I have a tendency to find very unoptimized, long-winded solutions which waste a lot of time (For example, my first derivation of heron's formula went on for three pages; after solving it I realised that there was an alternate solution which took only one page). No matter how much I practise, I have not been able to overcome this problem. Since unique, never before seen questions are quite common in Olympiads and such, I really struggle with time management. Is there any solution to this?
2. Besides NCERT, which book would you suggest for studying mathematics?
3. While preparing for JEE, can I have side activities like coding, playing video games/outdoor activities, etc.?
Again, thank you for making these amazing videos. I am really excited of what you might bring to the table in the future!
I eagerly await your response.
Haa bhai tu valorant khel sakta hai
Ya I also have the same problem, I can solve the problems, even the Olympiad level problems, but the time is ticking so fast for me, actually too fast, I would also request sir to upload a video on this! Would be a great help for students struggling with time management, awaiting the video on this topic :)
@@makemathurfriendwithjini6562 well really true for me too..
@@Dhxeraj dont play that game bhai, it will be fine for some times then it will mess up your mental state that is when you get addicted only
@@makemathurfriendwithjini6562 bhai mai ye game 1 saal se khel rha hu max 2 match khelta hu
Yes Sir I'm taking drop with 92.98 percentile in 2024 due to health issues..my Target is mechanical engineering in IIT KHARAGPUR & WILL SEE YOU THIS MESSAGE 😊
Same bro
congratulations you will get it what you want
Then you need AIR 2500 . You have to try very hard . To go from current 92-3k rank to 2.5k . 😮
@@sussyanimesenseiit's not 92-93k.
this year it's more than 1 lakh
@@143maths yeah it's around 103-4 k.
This is the real meaning of maths and everyone needs to learn that maths is not just about fast and accurate calculations ... it's moreover about the skill of analysis prediction and comprehensive critical thinking which a student must develop in early stages and as Indian maths is in out blood we just need to extract it through critical thinking (kind of overthinking on a simple problem to get complex solution or making simple solutions to complex problems ). THE DAY on which you achieve the level of acceptance to maths that you find Multiple methods and uses of a simple problem to get accurate answer you will be a great mathematician... This guy is the best mentor for maths trust him and try to get best out of you In limited lifetime you have .❤❤
Hope our messed up system changes according to the same too... the mental state of students during their prime teenage years, the times when they have a spongy brain and need to absorb the good things in life, including math in a creative and interesting way, along with other activities.... is being destroyed, hope things change
But fast and accurate calculations are very important in exams..
@@SAGNIKANIVSAHOO-wg2lf exams are not at all only focused on calculation even in most of the current day examinations 80% of the focus is to check the mental capabilities and fast problem solving skills
Fast calculations are just a basic need for companies and teachers to better be able to make students or their employees understand
You are spot on 🙏 ! But.........To go deep in understanding a topic, free and relaxed mind is needed. Unfortunately, when the student comes back home (after 8 hours of school and transport), has to do useless homework for several subjects, there is hardly any time of free mind to THINK! Second, the school teachers get students to do sums from private textbooks which are of higher level or ideally should be covered in higher classes. The teacher feels proud, the more difficult sum a student can solve. This causes student to lose interest in Maths, frustration sets in and student starts hating this lovely subject.
I did rely on self study quit a bit but sometimes a friend could explain certain concepts in a way that the professors didn't that made it finally click for me. It also seemed that at a certain point, the higher maths were easier for me to grasp. I suspect it was due to plenty of practice I had in the lower maths and a wider knowledge base to draw upon.
Yes, Sir. I totally agree with you.
At the end of the day, it is all and all about you.
Scientists/philosophers/researchers spend their time in solitude with their thoughts, let themselves contemplate the truth about various matters. Be it as simple as why does 1 plus 1 equals 2, when you realize it on your own, it will start helping you see the beauty of the subject that you want to pursue.
You will start seeing the patterns/theories of what you have realized in various stuffs. You will start drawing those patterns together, and that is what makes any subject beautiful. You seeing the matter in your own perspective.
Most of the times, it is about REALIZING the subject rather than just learning it.
It may not be right always, but hey, science has always been a good friend of yours, it allows for mistakes to happen and lets you analyse it from the scratch. And teachers, here, play a very important role, like Sir told, in giving a more mature perspective.
After all, be it any field of science, all of them are subjects based on perspectives of studies. And pure mathematics, does hold value for perspectives, approach and thoughts. While problem solving may only chisel your skills, it is, indeed YOUR INSIGHTS that will be your strength.
As a person once said, scientific achievements have always taken place when one "Stops learning and Starts Thinking".
An underrated comment!!
Just like how Newton invented calculus. He went on thinking...
Goated comment ❤❤😊
Extremely happy that sir decided to do these videos right when I started my JEE prep for 2026.
Same 😅
Same
..love this professor..for his right guidance and great mentor.
.thnq
I was impressed when he said that may you would score good marks by any book that only focus on marks but it will not help in developing maths intelligence...
Its a fact that nobody reads Math book everybody just rely on the teacher for theory and explanation and they put zero effort on understanding theory on their own and afterwards they directly jump on to problem solving .
even I did this mistake in 10th grade but from now I will make sure that not to repeat this mistake
wonderful video sir ,
THANK YOU
EDIT - I had a misconception that by solving question you understand the theory completely but that's not true
exactly me too
i used to think the same that after teachers explanation i can do problems on my own and then in 11th ending i realized not to do that and study everything on my own
@@Bhanu_sreehow you gonna study alone your whole 12 and give jee .plz tell me ,will you read theory and solve questions or how will you do.
Sir whatever you said is so true and I had tried this for 1 chapter of maths and it worked out well too, but it did more damage than gain. It took me a long time to complete this chapter because I was doing it by my own and I fell back in my coaching (specially in chem, atomic structure and periodic properties are literal backlogs now). This methodology is difficult for a coaching student. Yes my speed would significantly increase as time would pass by but till then I can gurantee that many chapters of mine would become backlogs. Coaching finishes syllabus in speed and tests stuff.
If you start doing this in 11th then obviously you are going to be slow and fall back. This system has to be started in High School itself so that by 11th this system gets internalized and the speed also becomes high in the correct process.
I agree with the facts, sir you told in recent video. Being a maths teacher I am looking for the best preparation mthod of maths subject till higher secondary level. which will equally effect beyond this level. Thanks for giving such a valuable guidance to teachers community as well as students. We will be watching regularly vedios on mathematics with students to spread up your (based on the subject) ideas. Because maths has developed a kind of abstractness in itself which crossess the pattern matching practise rather than comprehensive theorems. Thank you.
Great to see an iit professor trying to help even others.
Everything that you say sir, makes sense for an average student exclusively if he's a freshman at +1 - JEE
Main points of this video
1. Self study is the key of deep learning
2. Understand the Theorem by yourself deeply by using good books.
3. Now close the book and write down the theore without looking
4. Take a question and apply your knowledge of Theorem in it.
5. If you not get the solution then see the solution and ask why i couldn't think this way and if you able to reach the solution also question how i'd manage to think that way.
These suggestions are really valuable for comprehensive and deep learning of mathematics.
You are right in point 2; just that we have to get our hands on "good books" right at the beginning.
Thank you man
My success behind calculus is self study.
Guide pls my calculus starts Monday
@@Studentaccount-lz3cd try solving problem on your own ....you may take 1 to 3 days to solve one problem...but that will become the base......one more thing is try solving problem in a smart manner ....for eg if you have solved a problm try to think of a better approach "ON YOUR OWN"
@@Studentaccount-lz3cd try to understand the theory before attempting the question, understand the meaning of differentiation and integration through the concept of LIMIT
@@debojyotighosh5717Bruh you have the same name and surname as mine 😦😹, amio Debajyoti Ghosh 💪
@@Korosensei5891 same same but diffelent
Great advice! Self study and application is essential to concretise math from abstraction.
Sir please make a video on what we actually study in engineering and also about different branches as most of us are unsure about this. We don't want to regret one of the most important decisions of our life.
My advice:
Understand why the answer to whatever problem IS the answer. Work on proofs
Try to find different ways of doing the same problem.
Actually understand and imagine the problem and numbers in your mind. Let your mind be creative. Don’t restrict yourself to one method.
Don’t be afraid to try a new method or a different approach out by yourself for a problem. If you come to a dead end, at least you tried something new.
A lot of really solid advice.
Thank you sir for guiding us.
I really learn so many things from you.
And I add in my study also and even benefit me in my productivity in study.❤❤
You make some very good points on the role of a teacher and an emphasis on self study. I am a 68 year old and not a mathematician by training but nevertheless help younger members of an extended Indian family particularly when they reach out to me before exams as they are having difficulties. It's often too late as they need more time to gain insights into topics. Recently my wives niece approached me and said that she wanted help on a number of topics like ratios and circle theorems etc. I said what is the problem and she said she can do the easy ones but not the hard ones. I explained that they are all easy but reason you find some some problems hard is that you have not gained the true insight of the subject. She was not aware of what a quadratic equation was but could factorize a quadratic expression simply by putting in the variable x in two brackets and find the appropriate numbers so that when expanded the original expression was obtained. She did not know that each bracket was a factor of the original expression until I pointed this out.
Sir, it would be also great if you do more polls like the newest one you did with an interesting problem :), it is really fun and an exciting challenge to solve a problem like the one you chose this time :)
Sir , please continue making JEE related videos for JEE Aspirants.
Thankyou so much for your hardwork 🙏
Sir kya ap logo ko nahi lagta ki Jee advanced ke liye 3 attempt hone chahiye ek bar student ke point of views se dekye 😢 except jee adv baki aur jitne bhi is desh me competitive exam hote hai sab me multiple attempt hote hai . Sir please ek bar bas student ke point of views se soch lijiye ga .😔
Sahi baat hai bhaii ! But student ke pov se koi IITs ke profs nahi sochte 😢
Bhaii 3 attempt hota toh ham jaise log bhi IIT Me sayad ja pate jo log village se ate hai
Agree 💯
Don't compare with other exams
If 3 attempts are available then i think jee main candidates will go upto 25lac+ or more
@@satyam-isicalyeahhyh
I am so happy that I came across this topic that is given by you sir.
Let me share my journey with the mathematics during my diploma studies in Electronics and Telecommunications in Bangalore.
To start with I have to state that I could score only 41% in my high school final in 1958 that too in second attempt. Joined in the polytechnic here in 1981 ( Evening college). During the 1st year I was afraid of the maths because of my poor mark's in the school final experience. Some how the maths study was going on well because of the teacher. Still to get more deeper I bought 4 different maths books by 4 different authors and studied. This self study helped me a lot. By the time the exam came I was so confident that I will score 100% to that extent I had prepared myself. But I got only 82%. Because there was no time left to attempt all the questions though I was knowing to answer it.
Among all the subjects only the Beautiful Maths gives the happiness to the mind since we don't need any one to say it is correct or not. We can know it ourselves. This I am writting at the age of 80 years as (Flsah back). Thought it will be an encouragement to those who study higher mathematics. Once again thanks for the video sir.
This is SUCH great advice! I finally got good at math when I realized what, once understood, I needed to commit to memory, and what I needed to derive. It is analogous to the difference between axioms and rules of inference in advanced courses. It was also a relief to see this, finally.
Should I take one year drop for iit... My current jee mains score is 97.1%ile
No bro it's time to go ahead
Nooooo
Big NO. अरे भाई enggineering काहिसे भी करो, long term मे जादा फरक नाहि पडता.
Sir could you please suggest the theory books
Please make video on jee Advanced preparation
I really admire u sir... Both mother znd son watching u coincidentally
It would be great if you suggest one good book of mathematics also keeping in mind IIT Jee perspective but at the same time which has theory and illustrations both and would help to learn the subject as it is and not just pattern matching..The main issue is not being able to find a relevant good book..because some books have less theory..some have more, it is all a mess...
Btw Sir, your advice and genuine explanation on different issues is such an epitome of your intelligence and profound observation skills..Thank you..
Yes that's true
@@HolfierNighthowl indeed..😊
@@HolfierNighthowl because I am preparing for jee (class 12th)
Thanks you sir for this♥️♥️
sir my mathematics teacher has got air 42 in jee adv 2008 and air in mathematics.he said that he only followed his teacher.
There will always be exceptional students. That does not change universal facts.
That was 2008 and now 2024 bro..😂😂😂
@@adarshyadavanshi8528 tb bhi jee 2 shift me hota tha paper pattern same tha difficulty level jada tha coachings achhe the. my teacher prashant jain sir has secured air 1 in jee maths that year so i think i must follow him
Prashant Jain? Haha, I too have studied from him. He is not at all meant for an average student.
@@_fujini no one is average i have started my prep with sir in 10th. Initially i thought the same but now i understand what is mathematics.Mere teacher amit gupta sir bhi kehte hai tum jb tk pen chlana nhi sikhoge tb tk koi sub nhi sikh skte
Sir ap IIT ke professor hai sir please jee advanced me 3 attempt ke liye kuch karye sir me village se me rahti hu mujhe jee advanced ke bare me 12 ke baad pata chala mere 12 me 97 % aye hai mujhe lagta hai ki me IIT Ja sakti hu but attempt hi nahi hai please sir request hai ap se kuch karye
You can go for iit jam or gate after bachelors.
Bhai woh iit ke professor he iit council ka director nhi
Aur dusri bat rhi adv jaisa prestigious exam teen bar conduct Krane se uske standards, class gir jayenge
Jo ho liya so ho liya bhai ab kya krna
Jam/ gate ke liye prepare krlo
Getting 97% in board doesn't mean you can also crack iit.
Boards & Jee Advance exam is completely different.
Many IITs now offer online degrees. Should a person give up pursuing a full-time BE/BTech from an unknown private engineering college and instead take up these options? What is your view?
Sir I'm a student who really has a dream to enter into IIT. As you said here, I always used to study maths on my own, I myself will read the introduction, theories and start to solve problems on my own. It really helps me. Mathematics is not just a subject, it is my love ❤ your encouragement really helps me, thank you sir
Same here i call mathematics my life
Wow, super Finally i found a person like me❤
thank you so much for uploading this video
Thanks Prof.
Helpful suggestions 😊
Sir how can I study NCERT and reference book along with Coaching Materials and coaching notes. Please comment on my problem sir
@@666Lindane Thanks buddy
Bro jitna mujhe pta h tum coaching material hi follow kro refrence books self study ke liye effective h agr coaching material ache se time pe ho qjye phir jao tum refrence book pe
Sir, my problem is- in doing all the things which you have mentioned in this video, while studying it takes a lot of time to complete just one chapter and then I fall behind my coaching or my schedule.
So how can we overcome this problem sir ? Should we just skip the thinking process in some questions?
There is no perfect way. Instead try to follow your own schedule and let coaching be a help rather than a remote control that decides your moves. Since your goal is to score well in the exam. Focus on problem solving rather than coaching mock tests and homework. They are merely a pill for you to be disciplined in your studies.
Step 1: wake up early. 6 am is fine.
Step 2: sleep early 10-11pm
Step 3: Joining a coaching does not make you smart solve school books first . If they are solvable. Like you look at them and can feel the calculation happening in your brain good job now you can move to the next step.
Step 4: get out of your comfort zone and revise coaching notes mildly before going to bed. Just read and lightly solve.mark doubts.kick introvertedness aside.
Step 5: solve jee mains easy questions from a book/module or UA-cam pyq of that current ongoing chapter in your coaching. Before going to coaching!! Just do 5 questions.
Let's say u have two classes today physics and maths
Do 10 questions HCV of phy ch and 10 questions maths of that ch or just do the questions from your last day's notes.
Step6: ignore immoral comments by coaching teachers. "If you cannot do this stop preparing for jee!" "You can happily leave our coaching!" "I will complain to your parents!" Stop listening, hum a song,do a personal karaoke,talk to a friend when you feel depressed. Don't give up but pause and take a chill pill.
Step 7: One way focus is not good. Research about other exams like ugee,ipmat,Jamia,amu,cuet DU,NEST,IAT...only check out their pyq and level up according to that.
Step 8: Be casual. Don't compare. think openly. Don't watch one shot videos. Don't open UA-cam or whatsapp it keeps your mind fresh trust me. Rather do a hobby like drawing,calligraphy,painting,wwalking, gardening!
Step 9: You are smart dude. You are loved dude. You are kind dude. You are powerful!
@@grey698 Brother/Sister, Thank you so much!! for your help and for writing this very long exhaustive answer for my problem.
I will surely follow the Step-4 and 5 which I leave and always procrastinate 🥲
Other steps I am following already.
And again Thank you so much for step-9 dude.
ALL THE VERY BEST TO YOU TOO bro!! 🤜🏻🤛🏻
Sir would you recommend some of the major mathematics books i,e abstract algebra, linear algebra, real analysis, geometry, complex analysis ( mostly theoretical not problem solving) etc. which written in simple language and easily understandsble for students which can help us to develop a strong root in Mathematics and help us in further high study in Mathematics . Plsssss sir 🙏 🙏
Every session with you, gives lot of important inputs........
My core is Mathematics, I hated Studing Chemistry. I don't like chemistry
I was waiting for this vdo. Thanks sir
Hello sir,
I am a ninth grader and going to pursue engineering(specifically I will be going to do JEE)
I had a natural interest in maths but for last 1.5 yrs due to my school teacher and mugging up of maths I lost my interest in it and I taking it as a subject to mug up and memorise formulas instead of logical thinking and problem solving.
Could you please take a few minutes and guide me?
Thank you for your videos sir!❤
hlo bro im also a ninth grader aspiring to do JEE as I love problem solving and coding... but im facing difficulty in Chemistry 😞
I'm a 10th grader student and I have the same dream as you and situation like you because my math teacher is changed in school and some people said that I have to give equal time to all the subjects as a result I lost interest in maths but i don't want that.
Hello!
The best thing to do is, try to get intuition about every concept that's being introduced to you!
To get intuition there are many resources available over UA-cam!
Honestly speaking the intuitions I developed during my school days helped me a lot during my jee days, and also helped me clear JEE and enter IIT. :))
@@helfireraj17dont stress too much for 10th, enjoy it because 10th topics arent too hard they just demand some time and a little interest, just focus on what you are good at, try to become the best as much as you can as well as studying other subjects. Usually 10th marks doesnt matter and teachers in 11th tell you to forget what you have learnt till 10th as they view you as “an empty cup” to build you from the ground up so that you are able to handle competitive exams like JEE
If u wanna grindin u can start with math unplugged / mathsmerizing... make sure u dont screw up other subjects once ur in 11th for the love of math.. if u strengthen ur math during those 2 yrs 9-10 u will do pretty well if u don't screw up P,C as math develops aptitude necessary for advanced, search these two channels find ur fav topics or they might have given sequence order start following it if req theory of any subject go for Mohit TYagi.. PYQs for mains are more than suffice along with MU or Mathsmerizing lecs i said or don't try to do both u will have FOMO in later years stick to one... For Adv All this + Adv PYQs+ If time permits CATS (competishun advanced course)..
this one msg is more than suffice for ur entire jee journey like I m not writing don't get distracted and shit as u might be well aware anyways enjoy your journey... teachers will guide u better but yeah just a small piece of advice.
Math is a very beautiful subject.
My only problem is the way its taught.
Schools make exams as the whole point of learning things.
Sir you are absolutely right but not getting the solution in right time will also hinder us to progress further and solve more of the questions, whats your take on time management and for solving these problems?
thanks for the advice sir😊
I always believed maths theory should always be learned by one’s self, when we stop relying on teacher for theory we can discover the concepts and then clear misconceptions about concept when solving problems by yourself, the ultimate formula to become a great problem solver is learn theory on your own + solve questions based on what you learn. This is what I learnt from this video thank you prof, I am 11th std student from south India
Ncert is worst book forever...............
I am really sorry sir but the concepts are not comprehensive for jee advanced and even boards. It does not give a good introduction and its questions are very much like rote learning. Repeated questions.
There are other books which cover basics to advanced level problems without pattern solving and help develop our minds!!
Your problem solving tips are more of gems but ncert books are just trash.
Sir, could you please suggest a good text book for upsc csat aptitude exam???
sir , deviating from topic, what is your skin routine😀
Thankyou * INFINITE sir ....I was waiting for this video for a very long time
Sir will work hard and try to meet you in IITK wish me luck ❤❤
KGP
Sir i have taken commerce with maths and i am not great but i am also not bad if i practice i know i can do. But the problem is i can't rely upon my teacher as there are only 2 classes in a week of 35 min from which teacher waste half of the time so please can u tell some tips and these tips are really great that u gave.
Thank you so much sir
Sir you are too handsome for me i can't study now
Sir class 11 me aakar maths se Darr lag rha h😢
You simply state there's an 'over-reliance on the teacher'. How do you arrive at this conclusion? What's wrong with enjoying human interaction with someone who knows more than you do? Learning styles are many and varied. There's no 'one size fits all.'
This is for college level maths? Or can school kids learn in their own too?
In the era of clickbait and view farming, sir you are one of the last people who actually bother with giving genuinely good information and advice
Am really looking forward to binge watchimg your video once my JEE Advanced is dome upcomimg week. Wish me best for it.
Thanks
All the very best!
@@Prof_JCGood morning sir,hope you're having a beautiful day
Sir i would really appreciate if u share your opinion on what im about to ask because this problem has been eating up my time alot and thus affecting my preparation (2026)
Sir as u mentioned in yr problem solving video that we should try to solve a problem on our own and not look at the solution until we are "gasping for breath "(you're exact words)
Im RELIGIOUSLY following this but i feel like its not worth devoting hours to one two problems but again u mentioned that hard ones will take longer time
Sir im really lost, please guide on what's the max time i should think and try for a question before wasting anymore further time and looking at the solution
@@anzypzy1022 1 yr senior here. Spend time on problems only after you have mastered the fundamentals in chapter. Otherwise you will exhaust yourself mentally and get demotivated. Learn the theory as well as possible for physics and math, then devote more time to problem solving. Directly starting problem solving on 1st or second day of starting the chapter is a waste. Mindful Meditation also helps
@@anzypzy1022 Try problems increasing in difficulty, and learn standard approaches... it should help
Don't solve hard problems in the beginning, if you find something hard, taking too long, then try easier ones before you progress to that
Agreed sir
There should a different first step. One cannot do mathematics well until arithmetic skills are honed. The die is mostly cast before the fifth grade. After that , it becomes a struggle that makes one feel a bit like Sisyphus.
You are absolutely right. There is a such a thing as fluency in the basic arithmetical skills. Unless that is there, it is pointless to talk about such big things. In the video, the target audience is slightly older students, and I am assuming that they do have the requisite fluency.
Thank You very much sir :)
List Best books for understanding to you sir for jee students 😅 according from you
At 12:43 I got the master key of conceptual clarity . Thanku so much sir🫡🫡🥲
Very helpful video sir
Sir, I am a student from class 11. I Practice maths even from different book like Rd Sharma.butt sir whenever I went to exam,I don't know why ,I can't answer some questions.it seems like I didn't study anything. unfortunately I did . I want to get full marks but can't.....and those silly mistakes.....
sir please make video for those students who are preparing for jee advance without any coaching.......
Sir but NCERT of mathematics is not sufficient for jee at all , and you are recommending it for self study😢
This video is not about JEE preparation. It is about first starting to learn mathematics properly.
@@Prof_JC sir can u make a dedicated video for jee mathematics
Sir, please suggest me a good maths book. Right now I only have NCERT books which I read. I am in class 11. I will wait for your reply.😊
You can go for exemplars and question banks
Sir please suggest a book for Jee advanced for Maths
Take cengage, black book by vikas gupta, hall and knight, sl loney.
But firstly I would advice preferably follow your coaching modules and archives(pyqs). One you are through and after still that, if left with time, you can move to books I mentioned.
I have taken a drop with 0 percentile, And I won't be Targeting Jee anymore
If you cannot say something in 15-20 sec you cannot say it in 15 hrs also. Please come to the point in the first 15 sec if you want people to stay and hear more.
have that patience it’s just 15 mins
Rubbish !
As an electrical engineer I am conversant with higher maths and also attracted by modern physics . However , even though Schrodinger's Equation and the solution of his equation that explains various phenomena including the solution for explaining leaking of electrons through infinite potential barrier and the solution for the Hydrogen atom by using spherical polar coordinates ,leading to establishment of orbital and quantum nos can be understood easily, the Dirac's Electrodynamics is too abstract and a tough nut to crack. Please tell me which series of lectures explains it in a lucid manner . It is said that the SE helps for H2 atom because the velocity of the orbital electron is c/137 but Linear Algebra and Hilbert Spces are to be learnt for understanding Dirac. That part is too abstract!
math not maths
@@kenfrank2730 Mathematics .
Hello sir, I've chosen pcm for 11th grade this year, and your videos are very helpful, i am doubtful i might not score well in boards in maths, but that was because of exam fear and time pressure, though i love maths as a subject i don't understand why while solving it in exam i fail to score well
Greetings to you professor from Guyana. I really do appreciate your take on the study of math but how do you explain that after a few weeks of learning the concepts they are forgotten? One has to go back to the examples to retrace some steps after which the procedure will slowly 'comes back'. Is that 'learning' in the first place? Secondly, what would be your recommendation of the best math textbooks for self study? I know you said here you aren't giving any names of textbooks but I am kindly asking you to pick out a few of the all time staples. Thanks.
Sorry sir for asking doubt out of context of this video.... But in fluid dynamics which statement is more fundamentally more correct.... M(in)=M(out) or V(in)=V(out).... M is mass of liquid and V is volume of liquid....in short is (rho)Av=const. Or Av=const
Is there any difference in the answer if liquid is compressible....?
Mass conservation is the fundamental principle.
@@Prof_JC Thank u sir
@@jeeaspirant7210I was also confused about this initially lol, coz we studied that a1v1=a2v2 in eqn of continuity, but then while solving jee adv problems, involving thermo+ fluid mechanics, the density changed and the density factor came in . So I asked my physics teacher and he also said it's mass in= mass out
For ideal fluidis incompressible density doesn't change so we take a1v1=a2v2
Sir make a video for students in Grade IX And X to manage coaching with schools.
Sir can you please make a video on taking a drop for 2025
Thank you
Sir as you said that the books shouldnt just focus on the practise question but also on the theory as well, could you please suggest some books for students preparing for jee in clas 12. Is cengage new edition good ??
True
Thankyou sir.. because of your videos I was able to get where was I going wrong and get to know the mistakes for my lower marks even after completing the syllabus.
First of all thank you so much sir for making video at this topic & i totally agree with your words but Sir you also know that we students have back to back pressure of daily studies such as Study new topic, completing syllabus, solving problems and revision of previous chapters and having scheduled time for one subject in a day...BUT the type of STUDY STYLE which you are suggesting is Very time consuming and (like doing PhD in a chapter) i agree and i have also done this type of thing and i mastered those chapters but it's too much time consuming and as an aspirant if we go with that strategy we invest so much time in one chapter.
This video is about how to properly study mathematics, aimed at students who are transitioning from school level mathematics (up to 10th grade) to higher level mathematics (11th and 12th grade). The speaker, a professor at IIT, emphasizes the importance of self-study in achieving mathematical maturity.
Here are the key points from the video:
Reliance on teachers for everything is not recommended. Students should rely more on self-study to develop a deeper understanding.
Pick a good textbook that focuses on explanations and comprehensive coverage of theorems, rather than just a collection of solved problems. Examples of good textbooks include NCERT books and textbooks written by university teachers.
When studying a theorem, don't just read it passively. Try to understand it line by line and then try to reproduce it from memory without looking at the book. This will help solidify your understanding.
After studying a theorem, think about the implications of the theorem and what possible corollaries (related theorems) could be derived from it. This will help you develop your mathematical maturity.
When going through solved examples, don't just copy the solutions. Instead, try to solve them yourself first by applying the theorems you just learned. Then look at the solutions to see if your approach matches. This will help reinforce your understanding of the theorems.
Don't be afraid to solve easy problems. They are important for building a strong foundation and developing problem-solving skills.
Don't look at solutions to problems immediately. Try your best to solve them yourself first. Then, when you look at the solutions, analyze why you weren't able to solve them and what you can learn from the solutions.
After solving a difficult problem, analyze why you were able to solve it. This will help you identify the thought processes that lead to success.
Dear Sir
Please give text books names for knowing mathematics completely in each class. Please prepare one video on books
Thanks
I self-study a topic before class and do the homework problems so that I know what I’m struggling with. It gives me a clear understanding with examples to show the teacher WHERE I am stuck. It’s not easy, since you have to get the work done in advanced and push really hard to be ahead the entire class, but worth it when the tests come.
Who have so much time considering Evererest level syllabus.
Could you please make a video on Aerospace Engineering in IIT Madras, Sir?
Respected sir, could you recommend a book that covers all areas of physics and is easily understandable by a 9th-grader?.
HC verma is good for all ages ig!
cengages wins lol
found a goldmine on youtube