What is the proper way to study Mathematics? | IIT prof's tips

[@shubhambhardwaj6952]

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.

[@vedantsgoodlife7302]

You are right in point 2; just that we have to get our hands on "good books" right at the beginning.

[@PankajKumar-yl9ul]

Thank you man

[@lifeismusic9582]

Thank you

[@anshulbadhani]

everywhere I go everyone assume that we are enrolled in some coaching... Atleast someone is focusing on people who want to learn on ourselves

[@tumpadas4461]

Same here regarding my son

[@funfactory5940]

I totally agree with you, plus I was looking for this comment

[@notsumittt]

The problem is self study is that the books are filled with such abstract definition that it's hard to understand the concept

[@6_______9]

Its hard but its helpful.

[@hridayjoshi7247]

In my case first learning from the teacher then again doing the theory+illustrations from books got this hurdle clear

[@Studywithronak]

​@@hridayjoshi7247What the means of illustration ?

[@satyam_jha-14]

Bro i think you haven't read cengage!

[@satyam_jha-14]

​@@Studywithronakillustrations are solved examples! And illustrations are part of theory

[@whitewalker608]

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.

[@Mdarif.907]

Thanks I also want to become a AI engineer And I will ✅

[@himanshuyadav6672]

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.

[@krishm7783]

Great essay

[@tarunii]

Bro asked AI to write this

[@gcfactgc07]

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 😊

[@validtermite78]

Same bro

[@aniketkedare8]

congratulations you will get it what you want

[@sussyanimesensei]

Then you need AIR 2500 . You have to try very hard . To go from current 92-3k rank to 2.5k . 😮

[@143maths]

​@@sussyanimesenseiit's not 92-93k. this year it's more than 1 lakh

[@sussyanimesensei]

@@143maths yeah it's around 103-4 k.

[@vishu1334]

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.

[@khastakachori123]

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.

[@RamTomar-adv]

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

[@Bhanu_sree]

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

[@lakshyakumar9871]

​@@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.

[@nishaanand4106]

'Whether it is easy or hard treat every problem with respect' ~ Sir JC That level of dedication and sincerity one must have 😊

[@stkhan1945]

..love this professor..for his right guidance and great mentor. .thnq

[@MayJune-my2gh]

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".

[@akashgautam1909]

An underrated comment!!

[@Your_pie655]

Just like how Newton invented calculus. He went on thinking...

[@nituchatterjee6572]

Goated comment ❤❤😊

[@l.w.paradis2108]

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.

[@ashishgautam3679]

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.

[@MistyMusings-n7x]

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.

[@Dhxeraj]

Haa bhai tu valorant khel sakta hai

[@makemathurfriendwithjini6562]

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 :)

[@CheckmateCarnage]

​@@makemathurfriendwithjini6562 well really true for me too..

[@Midnight_Gust]

@@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

[@Dhxeraj]

@@makemathurfriendwithjini6562 bhai mai ye game 1 saal se khel rha hu max 2 match khelta hu

[@paritoshgupta4641]

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 .❤❤

[@cziffrathegreat666]

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]

But fast and accurate calculations are very important in exams..

[@paritoshgupta4641]

@@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

[@dumbo342]

Every mathematics tips video is about how to score better and all. You're the first teacher ive found who is talking about understanding and exploring the subject.

[@Prof_JC]

Thank you.

[@williamjayaraj9257]

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.

[@Sarah-lk8ye]

Seems like you took a long gap after 12th.Was it tough recollecting and revising ?

[@zeus2032]

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.

[@jatinvikram5333]

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

[@alexcantelou2469]

Thank you from a 55-year-old who dropped out of high school and decades later realized I didn't want my children to inherit my lack of understanding mathematics. I now practice mathematics every morning so that when my children take on this subject in school I can help them. Your insight gave me a lot of good ideas for making their study more effective and lessening their math anxiety. Thanks again!

[@Prof_JC]

All the best to you and your family.

[@jefejeffwell1113]

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.

[@kiranpatel5204]

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.

[@preethi_s_w]

Can you teach me as I need help in math

[@pavithrar5685]

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

[@IITIANPrashansa]

Same here i call mathematics my life

[@pavithrar5685]

Wow, super Finally i found a person like me❤

[@aayushkakade8221]

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.

[@Prof_JC]

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.

[@ClashWithJhakas]

​@@Prof_JCSir what is the way to approach maths in class 11th? Ill be very grateful to hear your advice.

[@christianosanjo]

Extremely happy that sir decided to do these videos right when I started my JEE prep for 2026.

[@prashantgupta43905]

Same 😅

[@arraby8590]

Same

[@p.r.t3115]

This helped me a lot, thank you.

[@nirmalmishra6404]

Everything that you say sir, makes sense for an average student exclusively if he's a freshman at +1 - JEE

[@utkarshshukla1578]

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.

[@SAGNIKANIVSAHOO-wg2lf]

Great to see an iit professor trying to help even others.

[@ShikhaPal-nb1up]

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...

[@scottguitar8168]

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.

[@SAGNIKANIVSAHOO-wg2lf]

Good advices having balances between board exam preparation,IIT-JEE and actually learning mathematics.

[@geolover5958]

My success behind calculus is self study.

[@Studentaccount-lz3cd]

Guide pls my calculus starts Monday

[@debojyotighosh5717]

​​@@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"

[@geolover5958]

@@Studentaccount-lz3cd try to understand the theory before attempting the question, understand the meaning of differentiation and integration through the concept of LIMIT

[@Korosensei5891]

​@@debojyotighosh5717Bruh you have the same name and surname as mine 😦😹, amio Debajyoti Ghosh 💪

[@debojyotighosh5717]

@@Korosensei5891 same same but diffelent

[@jayapandey5836]

I am 8th grader i am doing fundation of iit and i watch your videos for my guidence in maths Thank you sir, 😊

[@tumpadas4461]

I really admire u sir... Both mother znd son watching u coincidentally

[@Sadhvi-Singh]

Sir , please continue making JEE related videos for JEE Aspirants. Thankyou so much for your hardwork 🙏

[@shyamalendubiswas1925]

Sir I am a Mechanical Engineer passed from a reputed engineering college of India. During my 11 and 12 class I followed same procedure as you explained. I believe that self learning is one of the best methods of learning Mathematics. Thank you for your valuable opinion.

[@shiwalikatoch3161]

At 12:43 I got the master key of conceptual clarity . Thanku so much sir🫡🫡🥲

[@AbhikChakraborty1]

Great advice! Self study and application is essential to concretise math from abstraction.

[@HariHaran-ef7xq]

Very very true but realising after 40 years. Hope I will guide my son on this

[@EternusCor]

Math is a very beautiful subject. My only problem is the way its taught. Schools make exams as the whole point of learning things.

[@prajaktab7010]

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.

[@Aldehyde_ketone]

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_JC]

All the very best!

[@anzypzy1022]

​@@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

[@ultimatedoug2227]

​​@@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

[@cziffrathegreat666]

@@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

[@Shayan1409]

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.

[@debubhaumik]

And yes, the teacher also exposes and clarifies new dedinitions used in the study. Don't shy away from asking the teacher until you are convinced that you understood the definition.

[@makemathurfriendwithjini6562]

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 :)

[@rohinikakade7404]

Respected sir I would be grateful to know your opinion on my situation. I also think the same sir, I also support self study more than anything. But not everyone can self study subject like maths. I had tried sequence and series from cengage and it took me a lot of time. That too it was good for me that coaching teachers were there to help me solve my doubts but now I dont even have a coaching and everyone knows that sequence and series is very easy. I understood that I am not capable enough to self study subject like maths. That chapter took me a lot of time and I just legit studied maths for whole study time of mine. Till 10th I spoonfed myself from those bhaiya and didis on youtube who presented the class 10th content in the simplest manner, that's why I never developed habit of book reading for maths and science. If i had chance to go back to 9th or 10th grade version of myself then I would advice him to get a theory book and just study from there atleast maths and physics even if you don't get good marks. That would've developed my visualisation skills a lot. But I do self study for physics though and it's working greatly on me. Thanks you for your insights sir! I always tell my little brother who is in 7th grade to read the textbooks.

[@prithvirajkar]

I was waiting for this vdo. Thanks sir

[@debubhaumik]

Change out "reliance" with "dependence". The importance of the teacher is in the initial exposure and cadence of the concept, and what the particular concept brings to the table relative to the study of the math coursework you are in. The crucial unspoken item is "preparedness". This means how well you, the student, grasped the concepts and processes of the prerequisite math course. You may not go backward much, without harting your study of the orger subjects in the current coursework. But do all you can based on where you are. Pay attention to the postmortem process presented in the video.

[@Disez_Epsilon]

Short Summary Title: Achieving Mathematical Maturity: Embrace Self-Study, Not Over-Reliance on Teachers Over-reliance on teachers for mathematics is counterproductive. - Relying solely on teachers for theory and examples hinders mathematical maturity. - Students need to work on solving problems independently to truly grasp mathematics. Self-study is crucial for mastering Mathematics - Mathematics requires deep self-study beyond mere practice - An ideal study approach includes teacher introduction, self-study, and problem solving Focus on understanding mathematics, not just scoring high marks. - Choose a textbook that presents theory comprehensively by subject experts. - Avoid relying solely on solving repetitive problems for proficiency in pattern matching. Active learning and critical thinking are key in studying Mathematics. - Study the theorems on your own, solve examples, and understand the explanations thoroughly. - Reproduce the theorems on paper without looking, think about implications and develop mathematical maturity. Consider solved examples as opportunities to apply knowledge of theorems. - Close the solution and think about how the theorems apply in the solved example. - Try to think about possible connections with the theorems of the previous chapters. Master easy level problems before moving to higher level problems. - Students often underestimate the importance of solving easy problems, especially when preparing for competitive exams like JEE. - Progression in mathematics requires complete proficiency in solving easy problems before attempting higher level problems or competitive exams. Treat every problem with respect and try solving it on your own before seeking solutions. - Exhaust all possibilities of tackling the problem on your own before looking at the solution. - Conduct a postmortem analysis of the solution to understand your shortcomings and improve your overall thinking and grasp of theorems. Tips for studying mathematics at a higher level - Making a full analysis of problem-solving approaches, and understanding the methods used to proceed in the right direction. - Encouraging and recognizing students who think in the proper direction and come close to the actual solution.

[@child_rhyme_time]

Thankyou * INFINITE sir ....I was waiting for this video for a very long time

[@jivitasagdeo6913]

Sir will work hard and try to meet you in IITK wish me luck ❤❤

[@challenger539]

KGP

[@srinivaschillara4023]

A lot of really solid advice.

[@atanurakshit6684]

Really a fruitful video. All students should follow the way describe by the respected professor to learn mathematics properly. Yes Mathematics can't be taught it is to be learnt. Very good video sir. Thank you very much for the video, which must make many students enriched. Sincere regards. 🙏🙏🙏🙏🙏

[@seshikanth4892]

Sir may be first one should follow one’s own path in understanding the concept. There is no the one way….only success make the method and failure to clear clear the method. Let the people follow their own method. Bruce Lee told that he was not afraid of person who is versatile in breadth but of the person who practiced the kick 1000 times. Let them follow their own method

[@ICO_YS_Priyal]

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..

[@HolfierNighthowl]

Yes that's true

[@ICO_YS_Priyal]

​​@@HolfierNighthowl indeed..😊

[@ICO_YS_Priyal]

​@@HolfierNighthowl because I am preparing for jee (class 12th)

[@sheikhabrahim4057]

since you are explaining how to study Math why don't you give us the best book(s) in your view on the subject, like how you referenced Concepts of Physics?

[@Imran52Feb]

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!

[@kenfrank2730]

math not maths

[@Imran52Feb]

@@kenfrank2730 Mathematics .

[@TheMonika2201]

So which books are you recommending

[@subhajitroy471]

K.C. Nag, DK Bhattacharya mathematics books best for building maths concept at school level

[@gjashanpratul3929]

The end goal is earn a temper of solving problems in a percipacious manner 15:17

[@Blahblahbleh37418]

HOW should I overcome this hurdle? I study math/everything using intricate imagination, but when I face a problem that has less geometric attributes, for instance probability, statistics, sequence and series, problems that require algebraic ingenuity etcetera, I struggle to visualize/comprehend it; a similar problem occurs in chemistry. A video about this would be convenient for everyone facing a similar problem.

[@karatiarya]

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.

[@Aman_9077_]

Sir how can I study NCERT and reference book along with Coaching Materials and coaching notes. Please comment on my problem sir

[@Aman_9077_]

@@666Lindane Thanks buddy

[@SourabhBusiness-c8r]

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

[@Eurika.math49600]

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.....

[@sajaltarofdar2484]

In my opinion, our education system seems to emphasize repetitive practice and scoring high marks over developing a deep understanding of the subject. I remember during my graduation, feeling frustrated because the structure of the coursework left little room for genuine exploration of mathematics. Instead, the focus was always on maximizing scores within limited timeframes. This creates a career dilemma, as prioritizing a deeper understanding can often mean compromising on grades, which are so crucial for advancement. I think that, although diving deep into a subject might eventually lead to a more fulfilling and innovative career, the current academic structure doesn't sufficiently value this approach, and thus, it's not the mainstream path to success.

[@Hatred_02]

Thank you sir for such a wonderful video. I never really comment much on yt, but its been quite a while since i have been watching you, and your videos are really helpful. Looking forward to definitely meeting you someday.

[@Nandan-ty6qf]

Hello sir, I totally understand all the points you mentioned and I think they're all valid. Self study can indeed prove to be very beneficial in improving your ability to think critically. But I have some questions: a. What books do I refer? I think NCERT is indeed good but then Its definitely, for sure, not capable of training a person's brain and making him capable of attempting advanced questions, or perhaps even Mains questions considering how hard they are these days, yes, they can clear out the basics very well but they're definitely not enough material for advanced (even for theory). b. About teachers, I did try studying math by myself, I used Cengage books, I don't know if the books are good enough (which leads me back to the previous question), but yes I did try studying them, I looked at the solved examples and found out that in every other solved example, a different method is used to solve a question which induced a lot of confusion in me and I failed to solve questions. BUT BUT BUT, when I referred to Mohit Tyagi sir's videos, my entire perspective towards that chapter changed, I was able to solve Questions that I couldn't even think of being able to attempt, and all that credit solely goes to Mohit Tyagi sir's teaching. What are your thoughts on this phenomenon? c.Aboit the part when you said we need to think of the theorems ourselves before looking at the proofs, but personally, as a dropper (targetting jee adv 2025), I don't think I have enough time for that, instead of trying to think of new ways to prove theorems, isn't it just better to think of new ways to solve a particularly difficult question? If I'm wrong, please correct me and please suggest some ways for me to manage my time more effectively 🙏. Thank you sir, waiting for your reply 😁.

[@mryadav8936]

Thank you sir.. but make a video on revision and how to learn things more and more efficiently, there are a lot of subject to participate in any kind of competitive exam .. Please sir make a video

[@kaeez]

I'm glad that your advices are more cohesive and includes students of all age groups and not just the ones who are preparing for competitive exams and so on. You very well know that the major problem with our education system lies in the roots and it should be tackled from there. The only sensible person on this platform that actually cares about the true fruit of education.

[@supriyomukherjee1964]

Awesome analysis Sir.....🙏🙏🙏🙏🙏🙏🙏🙏

[@AmitKumar-er3dx]

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.❤❤

[@ShivamPandey-wf2pj]

sir my mathematics teacher has got air 42 in jee adv 2008 and air in mathematics.he said that he only followed his teacher.

[@Prof_JC]

There will always be exceptional students. That does not change universal facts.

[@adarshyadavanshi8528]

That was 2008 and now 2024 bro..😂😂😂

[@ShivamPandey-wf2pj]

@@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]

Prashant Jain? Haha, I too have studied from him. He is not at all meant for an average student.

[@ShivamPandey-wf2pj]

@@_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

[@titanarcteric7707]

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?

[@mintonmiller]

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.

[@Prof_JC]

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.

[@jeeaspirant7210]

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....?

[@Prof_JC]

Mass conservation is the fundamental principle.

[@jeeaspirant7210]

@@Prof_JC Thank u sir

[@Hatred_02]

​@@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

[@aniketkokitkar622]

Thank You So Much Sir,. You just gave me very valuable information.

[@abhishekmondal5551]

Thank you professor

[@hollywoodedge]

I am someone who failed miserably at Jee. Now I am preparing for CAT. Thanks a lot for the guidance sir

[@soulflame0017]

Wishing you all the best!!!

[@Abhishek100.]

🇮🇳 I never thought this kind of perspective, Thank you so much, I definitely apply those idea to improve my Mathematical maturity.

[@Prof_JC]

All the best!

[@inkintelect]

Thanks a lot sir this video really made difference Now i can grasp maths more efficiently Plz sir make a video for physics and chemistry

[@ashabonde134]

Exactly I m telling this to all my students. N done study of maths like this

[@814rampk]

Every session with you, gives lot of important inputs........

[@prakharmishra7890]

Namaste Sir, Sir i have a request please make a video for students who have really wants to prepare for jee and what measure they should take before starting their preparation. And why you should prepare for jee.

[@nishant4595]

every word from you makes sense

[@Indigo_M255]

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.

[@parishmitadeka5392]

I'm doing Bsc in mathematics and I think I'm yet not mathematically matured. Though i want to, I think I get lost in the race of marks and gpas. Fortunately I got an internship this summer in IITG, but now I'm afraid that my learning techniques are poor. I definitely will try this method. Thank you sir 🙏🏻

[@dalimichoudhury4572]

Where are you studying mate?

[@ArnabSutradhar-p1y]

Should I take one year drop for iit... My current jee mains score is 97.1%ile

[@White_devil001]

No bro it's time to go ahead

[@Soham.69]

Nooooo

[@deepakd4148]

Big NO. अरे भाई enggineering काहिसे भी करो, long term मे जादा फरक नाहि पडता.

[@jeeadvanced1230]

Thank you sir, i think this is more general way to study any subject of logic

[@TranquilSeaOfMath]

Many good study tips here.

[@nidhi-bu7ri]

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

[@learninglad2985]

You can go for iit jam or gate after bachelors.

[@Hatred_02]

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

[@AtulYadav-fv7iq]

Getting 97% in board doesn't mean you can also crack iit. Boards & Jee Advance exam is completely different.

[@ARSH_ANAND.]

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!❤

[@koushik1947]

hlo bro im also a ninth grader aspiring to do JEE as I love problem solving and coding... but im facing difficulty in Chemistry 😞

[@helfireraj17]

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.

[@venkatasubhashmunnaluru3145]

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 KZbin! 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. :))

[@gg-lx8vc]

@@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

[@unknownbeast1111]

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.

[@chandankrofficial-s8s]

sir please make video for those students who are preparing for jee advance without any coaching.......

[@Ikigai-fz1xs]

i actually am preparing for jee but like i am not enrolled in a coaching, i actually solve mathematics by taking up my module going deep into theory and doing illustrations and writing imp short notes in my notes copy which i can forget later and then move on to the practice problems and then jee main pyqs then adv pyqs, i actually wanna go deep into everything but the jee syllabus and time doesn't allow that :( should've started earlier but i was sadly not known about jee in my board year this is my drop year i wanna make the most out of it

[@abhisheksoni9774]

Thanks Prof. Helpful suggestions 😊

[@validtermite78]

Sir could you please suggest the theory books

[@Inf-delta]

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 🙏 🙏

[@AbirHossain-k6d]

Not like other youtubers . He is an IIT prof's .

[@pragya9245]

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

[@Iamalokkr]

Happy teachers day sir!

[@Prof_JC]

Thank you!