I remember him replying to my emails about other topics in Mathematics. I think he replied to just about everything that came his way and he never made it seem like you were dumb for asking something that was probably so obvious to him. An amazing teacher, and anyone who was ever a student of his must've been pretty lucky. It's hard to find someone who can actually TEACH.
Just read about Mr. Gross and was heartened to learn he left MIT to teach at prisons and community colleges for the betterment of disenfranchised populations. God bless, Mr. Gross
RIP Herb Gross, my teacher, supervisor and friend. A warm caring soul who loved mathematics and loved it when others loved mathematics. I miss him so much.
Thanks Etlao. In my mind one of the biggest advantages of the videos is that each lecture was planned out well in advance. It took several days to prepare each lecture. While this seems to be a very long time, the beauty lies in the fact that the lecture is there forever and is available to any viewer, in any place and at any time. In my case the reward is that it would have taken me several lifetimes to reach the same number of students if I had been teaching in a traditional classroom.
Thanks very much Mr Gross. I studied Calculus many years ago, and though I passed the exams, I lacked an intuitive understanding of the material. I have returned to these courses because of the Corona outbreak and I find myself hooked. Your explanations are clear and the instruction is excellent. Thanks very much for this course, Sir. And may you be richly blessed. With love from Zimbabwe
Thanks Otto! I feel very blessed that thanks to the Internet, I will be able to continue teaching for years and possibly generations to come. Moreover the videos offer advantages that are not available in the live classroom. For example you can pause, rewind, and/or fast forward the lectures as you see fit; not to mention that the boards are written in a much more orderly way than how I wrote in the live classroom.
Such a phenomenal series of lectures. As a high school AP Calculus student, I find these incredibly helpful in gaining a better understanding of Calculus; not simply how to do it, but also why it is done that way. Thank you very much Professor Gross for making such great educational materials.
Thank you, Aldo. I don’t know of many things that satisfy a teacher more than seeing a student looking forward to learning more. Teaching to me has always been a labor of love and I feel validated it when I hear from viewers such as you. I send you my best wishes and warmest regards
my heart melts everytime i see him smile .. sad to know about he is no more.. i came to know him today and getting to know about his death makes me feel like something a special thing goes far away from me... @herb gross we love you 3000
Thanks for the very kind words, Mike. I’m not sure that everyone will agree that I am a legend. Nevertheless, at age 88 I continue to derive a great deal of pleasure from messages such as yours; especially since the videos you are watching are about 45 years old. It leads me to believe that even when I am no longer here, the videos will still be teaching new generations of viewers.
@@hgross3comcast This comment makes me cry. RIP Good sir. When and if I come across any young mind who 'd like to learn calculus. I'll tell him about the greatest math teacher to ever exist. The best of all time. Your legacy lives and it'll continue to Professor. Thank you.
Best calculus lecture i have ever seen..... my hand full of claps goes to this legend... MIT: we provide quality education to all. Our teachers(India): *Promotes themselves as superior*
I also wish to thank you for your excellent work, professor Herbet Gross. I first watched your lectures ten years ago. My mind was blown because you made me see calculus from another point of view. Even now, after so many years, i still admire the way you think and teach. God bless you, your work IS and WILL BE priceless!
Back in College I passed Calculus just for the sake of passing it, but didn't really learnt anything. Definitely this professor was motivating to watch and got me hooked for the first time in maths. His teachings helped me when learning algorithms and other high lv programming courses back when I was doing job interviews. Sad to hear of his passing. RIP
RIP Professor Herbert Gross :( to wherever you are now, love from Brazil, glad you got to know that your classes reached and helped students from the whole world
Professor Gross, thank you so much for making this series freely available to the students and the intellectually curious. It pains me to say that you'll be dearly missed. You were a wonderful human being. May your soul rest in peace. Namaste 🙏🏽
RIP, Herb. These videos, and Herb's teaching style, inspired me a decade ago when they were first uploaded and I was too mathematically immature to even really understand or apply any of this. Having Herb actually commenting and interacting with us on these videos was a great bonus. I have no doubt these will continue to educate people for many years, just as they did for all of us many decades after they were recorded.
These videos are unbelievable! Dr. Gross can convey the ideas very clearly and with such simplicity that it's beyond perfect. Really Dr. Gross did an AMAZING, simply AMAZING work! I really do feel mesmerized to watch these videos. I'm self taught (not on everything obviously), which means that I watch a lot of educational videos and these are BY FAR the best that I've ever seen. Thank you MIT for making these available for us, and thank you very much Dr. Gross for such an amazing work!
Masterful. Herb Gross is a gentleman and a scholar. Beyond the wonderful, careful, and uncommonly lucid exposition, deeper than the superficial show of a keen intellect, I'm charmed by the benign character and humanity revealed in this series. Thank God for Herb Gross; his teaching has been a much needed blessing in my life and surely many others.
The true magic here is that he started explaining the very essence of Calculus (mathematics) and the necessity behind its invention by talking about physics (a physical/practical problem); which is exactly how Newton and Leibniz arrived at their original insights, as well. Pure and Applied Mathematics are only separated by our ailing imagination.
I once posted a question on one of Professor Gross's videos and he replied! He was aged in his 80s or something and couldn't possibly gain a thing by writing a message to me, but he did.
You're great and I love to see your passion, dear Professor. I'm an ADHD student from Europe and I hear from my tutors "University has to show direction, school was about teaching" but I learn best when I'm guided by someone. You teach it - not dictate. If I want to read a book - I can read it so lecturers and classes without teaching, are meanless. "Use this and that theorem" won't help me to understand the matter of subject. I'm sad I can't study at MIT :(.
Thank you for taking the time to comment. I just want you to know that in many ways my video lectures are better than my live lectures because I had a lot of time to prepare each lecture and prewrite the boards (and that served as my script). I should also tell you that only 10 of the 50 years I spent in the classroom were at MIT. The rest of the time I was teaching basic math to mathematically at-risk adults, trying to help them overcome their fear of math. You can see a lot of my work at www.mathasasecondlaqnguage.org. You might enjoy watching some of my arithmetic and algebra videos and power point slide shows. I send you my very best wishes and warmest regards.
Herb Gross Thank you. I am really glad I found this course and I am grateful for your response. I will do everything to have uni teachers like you :). I wish you best, you make me feel I am not to bad for this. I would like to understand math because it is fascinating and needed for my computer science degree too. Thank you for your time to respond. Wish you best :).
Thank you jaga690 for your very personal message. It was my vision when I produced the calculus courses that most viewers, for whatever the reason, would have a reaction that was similar to yours. While I was developing the videos many naysayers told me that lecturing was ineffective. I responded by telling that that lecturing was simply a description of the delivery system and as such was neither effective nor ineffective. In other words, it is the lecturer, not the lecturing, who can be either effective or ineffective. And at the the risk of sounding extremely egocentric (which is not my intention), I would say that the hundreds of positive comments my lectures have elicited, I would say that I have been very blessed. I did want to add that you might enjoy looking at my arithmetic and algebra courses that are available at www.mathasasecondlanguage.org. I approach these two subjects in the same way that I approached my calculus videos. In any event, I send you my very best wishes and I hope that you do well at the university. If you should ever feel that you might be helped by hearing my input write to me directly at hgross3@comcast.net.
Herb Gross I feel very honoured by the fact you had time and will to answer me because I guess I am not the only one. If I would find any problems that I won't be able to solve by myself, friends or university's professors, I will write to you - but I do not want to take your time. Please, forgive me if my English is not enough official or correct but I do not live in English speaking country and maybe I made some mistakes. I wish you best and I hope I will do well at my calculus course which I find quite more difficult than discrete mathematics or logic. Thank you, I am pleased to communicate with you directly. What is best? You are trying to make students interested in this topic and you show your passion - this is the most important thing. I have lectures with professor which is great at electronics but, to be honest, people do not find his lecturers good. On the hand, we have lab classes with young Master of Science and he said "to be honest, I am not really good at this". He was talking to us like to his colleagues and I felt really good, I learned something and was able to help my colleague with the exercise. And every time I have opportunity to say something about this lecturer/tutor, I say he is one of best person to work with students. Once again, thank you for your passion, for all you do.
whenever I have trouble understading a concept, I imagine your voice reading it out loud to me, with your intonation and pacing and it seems like I can understand it better
Wow Professor Gross I have to say that I have never been so inspired to learn more math from any professor or teacher before seeing this video! You sir truly understand the language of mathematics and your translations are exceptional! The way you explain the concepts of these mathematical principles are enlightening and intriguing. I extend my gratitude and thanks to you for sharing these videos as well as reigniting a passion for mathematics within me.
Thanks for the very kind words, Chris. Messages such as yours continue to elate me year after year. and the beauty is that the lectures will probably still be helping others even when I am no longer here. I feel very blessed. You might enjoy perusing my own website (www.mathasasecondlanguage.org) where lal of my work in arithmetic and algebra is available for anyone to use free of charge.
Mr. Gross is a master lecturer. In just a short time he explained some of the ideas in Calculus that I was always a bit fuzzy about or flat out did not understand. This is an perfect example of quality over quantity.
I have listened to two lecture series from MITs channel....and to find two great teachers without ever being their student is the true power of technology....i wish i realized importance of learning maths earlier and had known about this great person before.....life would have been better
The video titles here are not very helpful. Here are the full titles: Preface Unit I: Lecture 1: Analytic Geometry Unit I: Lecture 2: Functions Unit I: Lecture 3: Inverse Functions Unit I: Lecture 4: Derivatives and Limits Unit I: Lecture 5: A More Rigorous Approach to Limits Unit I: Lecture 6: Mathematical Induction Unit II: Lecture 1: Derivatives of Some Simple Functions Unit II: Lecture 2: Approximations and Infinitesimals Unit II: Lecture 3: Composite Functions and the Chain Rule Unit II: Lecture 4: Differentiation of Inverse Functions Unit II: Lecture 5: Implicit Differentiation Unit II: Lecture 6: Continuity Unit II: Lecture 7: Curve Plotting Unit II: Lecture 8: Maxima and Minima Unit II: Lecture 9: Rolle's Theorem and its Consequences Unit II: Lecture 10: Inverse Differentiation Unit II: Lecture 11: The "Definite" Indefinite Integral Unit III: Lecture 1: Circular Functions Unit III: Lecture 2: Inverse Circular Functions Unit IV: Lecture 1: The Definite Integral Unit IV: Lecture 2: Marriage of Differential and Integral Calculus Unit IV: Lecture 3: Three-Dimensional Area Unit IV: Lecture 4: One-Dimensional Area Unit V: Lecture 1: Logarithms without Exponents Unit V: Lecture 2: Inverse Logarithms Unit V: Lecture 3: What a Difference a Sign Makes Unit V: Lecture 4: Inverse Hyperbolic Functions Unit VI: Lecture 1: Some Basic Recipes Unit VI: Lecture 2: Partial Functions Unit VI: Lecture 3: Integration by Parts Unit VI: Lecture 4: Improper Integrals Unit VII: Lecture 1: Many Versus Infinite Unit VII: Lecture 2: Positive Series Unit VII: Lecture 3: Absolute Convergence Unit VII: Lecture 4: Polynomial Approximations Unit VII: Lecture 5: Uniform Convergence Unit VII: Lecture 6: Uniform Convergence of Power Series
Thinking about this man's life, seeing him somewhat young here, hid Ted talk ate age 85, and his eventual passing makes me realize how little time we really have on earth. Thank you, professor Gross and MIT. This is inspiring and makes me want to take the previous time I have to become a more educated person
Herb provides a warm and inviting introduction to a course which is otherwise notoriously intimidating to freshman students. The foundation he has doubtlessly provided to students over the years is sure to be of value and enjoyed for many years to come. Thanks Herb. You're a treasure!
Such good content, as a student from a developing country I am quite grateful that I would be able to learn this for free. Thank you very much Mr. Gross and MIT.
I saw one of his videos on calculus shared during college. And was fascinated by how easy he made the topic. I would love to know more about how he himself approaches new topics. Respect and much thanks from India
I've never given much thought about how I approach a new topic but if you would write to me (hgross3@comcast.net) with specific questions I will be glad to address them to the best of my ability.
Sir u r blessing for us in this lockdown period i was looking for calculus and accidentally find it now i m hooked to ur lectures.I HAVE recommended to lots of my friends they r very excited to learn quality mathematics for free thanku MIT tons of love from india.
An inspiration! Prof. Gross is just amazing. I hope he lives forever. When I teach, I use this style. Just very casual, like I'm having a conversation.
Thank you for the very kind words, Michael. I especially enjoy hearing from colleagues telling me that they appreciate my efforts. In a way, thanks to video recordings and the Internet I can virtually live forever, or at least for a few more generations. It is a great feeling and one that makes me feel blessed. I am wondering whether you may have looked at my own website (www.mathasasecondlanguage.org) where all my work in arithmetic and algebra is available for anyone to sue free of charge. If you would like to chat with me more directly my email address is hgross3@comcast.net. In any event, I send you my best wishes and warmest regards.
i love to hear herbert gross saying "the limit of a sum is the sum of limits", "the limit of a quotient is the quotion of limits" he speaks this rhythimically so fast and so much information goes into my brain and if i miss it then i can replay it on and on. that is the power of the recoreded media. i hope he makes group theory. i often check websites to find his recent activities, because of his age, i hope he lives long and healthy.
I'm a computer engineering freshman and this lecture is way more clean and precise than my teacher's lecture, even though it has been made decades ago.
There is no veneration equal to the insights you deliver in your series on single variable calculus, and I am only on the fourth lesson. Without going too far overboard you have turned mathematics into a near religious experience. And, without sounding too flip, I've said to others, "What a dude!" What is most remarkable, is the grace you approach the subject, being both immediate and approachable. I am truly indebted. Can you recommend a companion text?
Thanks, Donald, for taking the time to comment. My subjective belief is that once students can internalize the “why” (that is, the theory), the easier it will be for them to internalize the “how” (that is, the computations). Too often students learn the algorithms by rote and thus it is not strange that they tend to forget the process shortly after the course is over (unless they use it over and over again.
Oh, I loved learning calculus! It is wonderful to have these lectures available. MIT is very generous to share them, and I look forward to watching them all.
"In fact, even if you're not practicing engineers you can probably draw curves much better than I can." These lectures are so thoroughly enjoyable because Dr. Gross is such an engaging teacher; he combines rigor with the perfect amount of levity. Best wishes to you, Dr. Gross, and thank you for your tremendous contributions to mathematics education.
Thanks for the kind words, Mark. In my mind being a subject matter master is a necessary but NOT sufficient attribute for a great teacher to possess. In fact, in terms of a sports analogy, we may view the expert mathematician as a “math player” and the mathematics instructor as the “math coach”. In this analogy, it is clear that being a great player does not guarantee that you will be a good coach. When I was in high school my professional goal was to be a high school math teacher. I had no plans to be a mathematician. 40 of the 50 years that I was in the classroom were spent in the community college (and correctional institutions) helping adult mathephobes to overcome their fear of mathematics. In that venue I spent much more time trying to make sure that I was user-friendly than I did on the math content. Granted that the viewers of “Calculus Revisited” were far from being mathephobes, I still kept in mind that I was their math coach! It is not false modesty that forces me to claim that I was, at best, mediocre as a mathematician but, hopefully, quite good as a math instructor.
Thank you very much for uploading these helpful videos. I am currently studying social sciences at a Belgian university. And I have yet to come across such a great professor. While fearing maths and physics in high school, the beautiful simplicity of maths appears now as a repose to the chaotic complexity of humans, politics and society. Thank you! Aline
This is really a perfect approach to learn Calculus not just for mathematics perspective but for a real world physical problems. I accidentally find this video today, fortunately it will be great finding of mine....Thank you for your Great work.
dear Professor Gross, I have recently discovered your lectures via MOOC and would like to say how enjoyable they are. Fautles presentation without an 'umm' or 'ahh' to be heard. I graduated in1968 in the UK so the chalk and blackboard are just my style; Your lectures have shone a bright light in some dusty corners of my brain ! A small aside. Why do americans say math rather than maths, as it is a contraction of mathmatics.
Thanks for the kind words Terrence. They are greatly appreciated. You ask a very interesting question in the sense that I have always wondered why the English say “maths” instead of “math”. I guess it is an example of how easy it is to confuse what one believes with what one thinks is logical. As a rather humorous aside, when I type “maths” Spellcheck tells me it should be “math”
Herb Gross Actually, "mathematics" as a word is a collective noun. We say "My favorite subject _is_ mathematics" not "are mathematics." Neither is "Maths" a contraction of mathematics as there is no apostrophe. There is no right or wrong, it's simply a variation in culture. I am an American expat living in England (with a bachelor of science in math from an American University) and I encounter these difference all the time, sometimes in the form of nationalistic bigotry. It's all stuff and nonsense to me. Professor Gross, I have followed your lectures on youtube for many years now and thoroughly enjoy your clear and compelling teaching style. Many thanks for your great legacy. Robert Harrington Amesbury, England
Robert Harrington Hi Robert, I guess that at age 85 some of my ability to multitask has been diminished, In any event for some unexplained reason I missed seeing your message until today. I liked your “defending” of Mathematics as a collective noun. It makes sense. And I am very pleased that you are enjoying my videos. Producing the course was a labor of love. On a different note you mentioned that you have been watching my videos for several years. Does this mean you were watching them prior to their being made available on the Internet? Again, I appreciate your having taken the time to write and send you my best wishes for success in all of your endeavors. With warmest regards, Herb
Herb Gross Hi Professor Gross. Sorry, like you I only just caught your reply. To answer your question, I first came upon your videos on youtube in 2007 or thereabouts. It was uploaded by someone who posted them as 'Bela Lugosi teaches math,' for some reason. It was obviously a tongue-in-cheek posting though the point of the humor was rather lost on me. Nevertheless, I found the videos fascinating and watched them for a while. Then later I discovered MIT Open Courseware and so -- there you are again. Welcome back. Good to see you. Your appreciative student, Robert Harrington
I'm really enjoying this. You go into more of the fundamental details than I've been noticing with the newer professors who seem to emphasis computations over the concepts.
Thanks for the kind and flattering comment. In my own case the benefit I derived from going to class was that I was able to benefit from the thoughts and questions that were brought up by other students. So while I am extremely happy to use the Internet to share my thoughts with you and others, the fact is that you miss out on ideas that you and other viewers might have benefitted form if you all had been in the same classroom.
Hello Sir, thank you very much for this beautiful lecture and the series too. I also saw your Ted Talk and I also know your efforts to make maths easy for students "Maths a second language". Gratitude and love from India.
This is absolutely beautiful! IMO it is much harder for a student to understand a course if a teacher doesnt explain the underlying ideas behind the definitions and theorems. Here however they are explained perfectly and in a very pleasant manner, which makes these videos so outstanding compared to other styles of teaching. Thank you so much for this!
Dear Sir, Thanks a lot for this kind of Lectures. Your Logical, Deep and Smiling approach is the one which encourages me to pursue my goals in this hard world of Calculus! I am so much thankful to you. I can only pray, May Allah bless you.
I really have to wonder why teachers in the modern day can't teach like this? If you were the calculus teacher at my high school, I'm pretty sure I would be correct in saying every single student would be able to pass with flying colors, that is the level to which you explain the concepts--not simply list them, show how they work a bit, and then leave it at that--AND you go over their applications (why we should care about those concepts). I sincerely thank you for these lectures, they have been of great benefit to me.
Thank you for the very kind words, Muhammad. I greatly appreciated them. And while I am very pleased by what you have written, let me also point out a huge advantage I had that is not usually available to teachers in the classroom. Namely, I had no time constraints in developing a lecture. When the material was relatively complex, I might take as long as 30 hours before the content and the way it was written the boards met my expectations. In addition to that, the director of the Center and one other person would meet with me and go over everything I wanted to do and they would tell me where something I might want to do could be confusing etc. However once the video was completed it was systemic in the sense that every viewer, in any location and in any point in time would see exactly the same thing. And from my point of view, the reward was obvious. For example it is now 45 years later and the video is still inspiring you and others! What more could I possibly ask for??!! Keep enjoying and keep learning!!
In “Memory of Herb Gross” A tribute to a great educator and great human being: www.ocw-openmatters.org/2020/06/10/in-memory-of-herb-gross/
RIP Sir❤️
Rest in peace Dr. Gross (1929-2020), eternal gratitude.
Shishir Maharana
91 years of age 🙏
That is depressing...I watched his videos when he was still replying to comments. His humility was refreshing for how amazing his lectures were.
He died doing what he wanted getting closer and closer to 10^2
I remember him replying to my emails about other topics in Mathematics. I think he replied to just about everything that came his way and he never made it seem like you were dumb for asking something that was probably so obvious to him. An amazing teacher, and anyone who was ever a student of his must've been pretty lucky. It's hard to find someone who can actually TEACH.
Just read about Mr. Gross and was heartened to learn he left MIT to teach at prisons and community colleges for the betterment of disenfranchised populations. God bless, Mr. Gross
from his face and eyes itself, he seemed to be a very kind man
An incredibly beautiful man.
Even this video from the 70s is better than my school’s zoom classes.
Way better indeed. Shame on my professors who just dont seem to care at all about education.
Luis Breva I had this professor that from England that can’t even speak English. Glad I dropped that class.
They had time to be scripted, edited, directed and content managed.
Why can't we just choose teachers we want? :(
Legendary people always give a better experience!
RIP Herb Gross, my teacher, supervisor and friend. A warm caring soul who loved mathematics and loved it when others loved mathematics. I miss him so much.
I had no idea MIT had youtube back then, that school is so damn advanced
I know. Unthinkable that they uploaded to RUclips in 2011. People still lived in caves in 2011
Tommy V oh no, Herbert programmed those videos by him self. His videos are the most elegant ones on RUclips ...
@@Fujibayashi50 i mean the video is much older than 2011 so imagine
@@3down55 wooooooooosh
His smile is so heart-warming. You will be missed, Herbert Gross.
Thanks Etlao.
In my mind one of the biggest advantages of the videos is that each lecture was planned out well in advance. It took several days to prepare each lecture. While this seems to be a very long time, the beauty lies in the fact that the lecture is there forever and is available to any viewer, in any place and at any time. In my case the reward is that it would have taken me several lifetimes to reach the same number of students if I had been teaching in a traditional classroom.
Rest in peace to this hero.
Rest in peace. Thank you for everything you have done.
This hits like a boulder now. May he rest in peace.
What a legend. I hope this comment never gets erased.
😭 Thank you sir
YOU WILL ALWAYS ALIVE IN THE HEART OF YOUR STUDENTS
IT IS MY IRREPARABLE LOSS
MAY GOD GIVE PEACE TO SOUL OF THE GREAT GROSS
@@VikasSingh-iu5gu
Ok dear I will
Thanks very much Mr Gross. I studied Calculus many years ago, and though I passed the exams, I lacked an intuitive understanding of the material. I have returned to these courses because of the Corona outbreak and I find myself hooked.
Your explanations are clear and the instruction is excellent. Thanks very much for this course, Sir. And may you be richly blessed.
With love from Zimbabwe
His enthusiasms as he talks is contagious. What a lovely lecture.
I don't know why but when he smiles, I smile. Apart from this, a great thanks for mitocw for making this amazing series available for us
Rest in peace Professor Gross. Your were, and will continue to be, the greatest teacher I have ever known. Sincerest, eternal gratitude.
Thanks Otto!
I feel very blessed that thanks to the Internet, I will be able to continue teaching for years and possibly generations to come. Moreover the videos offer advantages that are not available in the live classroom. For example you can pause, rewind, and/or fast forward the lectures as you see fit; not to mention that the boards are written in a much more orderly way than how I wrote in the live classroom.
Legend himself
Such a phenomenal series of lectures. As a high school AP Calculus student, I find these incredibly helpful in gaining a better understanding of Calculus; not simply how to do it, but also why it is done that way. Thank you very much Professor Gross for making such great educational materials.
Joe
I'm astonished by the simplicity and yet beauty of his explanation. I just want to learn more! :) Thanks Mr. Gross.
Thank you, Aldo.
I don’t know of many things that satisfy a teacher more than seeing a student looking forward to learning more. Teaching to me has always been a labor of love and I feel validated it when I hear from viewers such as you. I send you my best wishes and warmest regards
Totally agree ! There is simplicity and yet beauty of his explanation!
A video from the 70's beats most in class lectures today, much respect and RIP Professor Herb Gross.
I am amazed at how his thought flows naturally and logically from one point to another. the lecture is so smooth and illustrative
This is one of the best teaching of calculus I've seen; this professor is so down to earth!
my heart melts everytime i see him smile .. sad to know about he is no more.. i came to know him today and getting to know about his death makes me feel like something a special thing goes far away from me... @herb gross we love you 3000
Near perfect. This video approaches 10/10
it is perfect...as humanly perfect as can be
jef you’re judging the content on the resolution of the media. This man is a great educator.
@@jay1373 lol, if you want graphic go watch movie, we're here for the content
Hey Maya!
This guy really spoke my language. He used logic to arrive at facts instead of giving us facts.
One of the clearest and most comprehensive presentations of calculus out there! You sir, along with Mr.Frederic S Woods are legends!
Thanks for the very kind words, Mike. I’m not sure that everyone will agree that I am a legend. Nevertheless, at age 88 I continue to derive a great deal of pleasure from messages such as yours; especially since the videos you are watching are about 45 years old. It leads me to believe that even when I am no longer here, the videos will still be teaching new generations of viewers.
@@hgross3comcast This comment makes me cry. RIP Good sir. When and if I come across any young mind who 'd like to learn calculus. I'll tell him about the greatest math teacher to ever exist. The best of all time. Your legacy lives and it'll continue to Professor. Thank you.
Best calculus lecture i have ever seen..... my hand full of claps goes to this legend...
MIT: we provide quality education to all.
Our teachers(India): *Promotes themselves as superior*
I also wish to thank you for your excellent work, professor Herbet Gross.
I first watched your lectures ten years ago. My mind was blown because you made me see calculus from another point of view.
Even now, after so many years, i still admire the way you think and teach.
God bless you, your work IS and WILL BE priceless!
Back in College I passed Calculus just for the sake of passing it, but didn't really learnt anything. Definitely this professor was motivating to watch and got me hooked for the first time in maths. His teachings helped me when learning algorithms and other high lv programming courses back when I was doing job interviews. Sad to hear of his passing. RIP
RIP Professor Herbert Gross :( to wherever you are now, love from Brazil, glad you got to know that your classes reached and helped students from the whole world
what a wonderful classic teacher... plus he is left handed... these will be seen for hundreds of years and NEVER go out of style....
Professor Gross, thank you so much for making this series freely available to the students and the intellectually curious. It pains me to say that you'll be dearly missed. You were a wonderful human being. May your soul rest in peace.
Namaste 🙏🏽
RIP, Herb. These videos, and Herb's teaching style, inspired me a decade ago when they were first uploaded and I was too mathematically immature to even really understand or apply any of this. Having Herb actually commenting and interacting with us on these videos was a great bonus. I have no doubt these will continue to educate people for many years, just as they did for all of us many decades after they were recorded.
These videos are unbelievable! Dr. Gross can convey the ideas very clearly and with such simplicity that it's beyond perfect. Really Dr. Gross did an AMAZING, simply AMAZING work! I really do feel mesmerized to watch these videos. I'm self taught (not on everything obviously), which means that I watch a lot of educational videos and these are BY FAR the best that I've ever seen. Thank you MIT for making these available for us, and thank you very much Dr. Gross for such an amazing work!
Masterful. Herb Gross is a gentleman and a scholar. Beyond the wonderful, careful, and uncommonly lucid exposition, deeper than the superficial show of a keen intellect, I'm charmed by the benign character and humanity revealed in this series. Thank God for Herb Gross; his teaching has been a much needed blessing in my life and surely many others.
The true magic here is that he started explaining the very essence of Calculus (mathematics) and the necessity behind its invention by talking about physics (a physical/practical problem); which is exactly how Newton and Leibniz arrived at their original insights, as well. Pure and Applied Mathematics are only separated by our ailing imagination.
I once posted a question on one of Professor Gross's videos and he replied! He was aged in his 80s or something and couldn't possibly gain a thing by writing a message to me, but he did.
You're great and I love to see your passion, dear Professor. I'm an ADHD student from Europe and I hear from my tutors "University has to show direction, school was about teaching" but I learn best when I'm guided by someone. You teach it - not dictate. If I want to read a book - I can read it so lecturers and classes without teaching, are meanless. "Use this and that theorem" won't help me to understand the matter of subject.
I'm sad I can't study at MIT :(.
Thank you for taking the time to comment. I just want you to know that in many ways my video lectures are better than my live lectures because I had a lot of time to prepare each lecture and prewrite the boards (and that served as my script). I should also tell you that only 10 of the 50 years I spent in the classroom were at MIT. The rest of the time I was teaching basic math to mathematically at-risk adults, trying to help them overcome their fear of math. You can see a lot of my work at www.mathasasecondlaqnguage.org. You might enjoy watching some of my arithmetic and algebra videos and power point slide shows. I send you my very best wishes and warmest regards.
Herb Gross Thank you. I am really glad I found this course and I am grateful for your response. I will do everything to have uni teachers like you :). I wish you best, you make me feel I am not to bad for this.
I would like to understand math because it is fascinating and needed for my computer science degree too.
Thank you for your time to respond. Wish you best :).
Thank you jaga690 for your very personal message. It was my vision when I produced the calculus courses that most viewers, for whatever the reason, would have a reaction that was similar to yours. While I was developing the videos many naysayers told me that lecturing was ineffective. I responded by telling that that lecturing was simply a description of the delivery system and as such was neither effective nor ineffective. In other words, it is the lecturer, not the lecturing, who can be either effective or ineffective. And at the the risk of sounding extremely egocentric (which is not my intention), I would say that the hundreds of positive comments my lectures have elicited, I would say that I have been very blessed.
I did want to add that you might enjoy looking at my arithmetic and algebra courses that are available at www.mathasasecondlanguage.org. I approach these two subjects in the same way that I approached my calculus videos. In any event, I send you my very best wishes and I hope that you do well at the university. If you should ever feel that you might be helped by hearing my input write to me directly at hgross3@comcast.net.
Herb Gross I feel very honoured by the fact you had time and will to answer me because I guess I am not the only one. If I would find any problems that I won't be able to solve by myself, friends or university's professors, I will write to you - but I do not want to take your time. Please, forgive me if my English is not enough official or correct but I do not live in English speaking country and maybe I made some mistakes.
I wish you best and I hope I will do well at my calculus course which I find quite more difficult than discrete mathematics or logic. Thank you, I am pleased to communicate with you directly.
What is best? You are trying to make students interested in this topic and you show your passion - this is the most important thing. I have lectures with professor which is great at electronics but, to be honest, people do not find his lecturers good. On the hand, we have lab classes with young Master of Science and he said "to be honest, I am not really good at this". He was talking to us like to his colleagues and I felt really good, I learned something and was able to help my colleague with the exercise. And every time I have opportunity to say something about this lecturer/tutor, I say he is one of best person to work with students.
Once again, thank you for your passion, for all you do.
whenever I have trouble understading a concept, I imagine your voice reading it out loud to me, with your intonation and pacing and it seems like I can understand it better
This is the first math professor I've seen whose handwriting I can actually read
Wow Professor Gross I have to say that I have never been so inspired to learn more math from any professor or teacher before seeing this video! You sir truly understand the language of mathematics and your translations are exceptional! The way you explain the concepts of these mathematical principles are enlightening and intriguing. I extend my gratitude and thanks to you for sharing these videos as well as reigniting a passion for mathematics within me.
Thanks for the very kind words, Chris. Messages such as yours continue to elate me year after year. and the beauty is that the lectures will probably still be helping others even when I am no longer here. I feel very blessed.
You might enjoy perusing my own website (www.mathasasecondlanguage.org) where lal of my work in arithmetic and algebra is available for anyone to use free of charge.
I couldn't agree more and thanks for the link I will certainly be checking it out!
he explains better than majority modern day teachers today and hes interesting too
You are illiterate.
@@blbl126 what even is a blbl?
Came across this randomly , it takes skill to break things down and make people interested in the issue your dealing with. A true master.
I love when he smiles every now and then for no apparent reason :D
Mr. Gross is a master lecturer. In just a short time he explained some of the ideas in Calculus that I was always a bit fuzzy about or flat out did not understand. This is an perfect example of quality over quantity.
I have listened to two lecture series from MITs channel....and to find two great teachers without ever being their student is the true power of technology....i wish i realized importance of learning maths earlier and had known about this great person before.....life would have been better
the best calculus lecturer period! thank you prof herb
I am joyfully astonished at how easy these rather abstract concepts were put forth.
I have a sense I'll enjoy my journey with these. Thanks prof.
I find it more understandable watching lecture videos from tha past than learning from modern lectures.
The video titles here are not very helpful. Here are the full titles:
Preface
Unit I: Lecture 1: Analytic Geometry
Unit I: Lecture 2: Functions
Unit I: Lecture 3: Inverse Functions
Unit I: Lecture 4: Derivatives and Limits
Unit I: Lecture 5: A More Rigorous Approach to Limits
Unit I: Lecture 6: Mathematical Induction
Unit II: Lecture 1: Derivatives of Some Simple Functions
Unit II: Lecture 2: Approximations and Infinitesimals
Unit II: Lecture 3: Composite Functions and the Chain Rule
Unit II: Lecture 4: Differentiation of Inverse Functions
Unit II: Lecture 5: Implicit Differentiation
Unit II: Lecture 6: Continuity
Unit II: Lecture 7: Curve Plotting
Unit II: Lecture 8: Maxima and Minima
Unit II: Lecture 9: Rolle's Theorem and its Consequences
Unit II: Lecture 10: Inverse Differentiation
Unit II: Lecture 11: The "Definite" Indefinite Integral
Unit III: Lecture 1: Circular Functions
Unit III: Lecture 2: Inverse Circular Functions
Unit IV: Lecture 1: The Definite Integral
Unit IV: Lecture 2: Marriage of Differential and Integral Calculus
Unit IV: Lecture 3: Three-Dimensional Area
Unit IV: Lecture 4: One-Dimensional Area
Unit V: Lecture 1: Logarithms without Exponents
Unit V: Lecture 2: Inverse Logarithms
Unit V: Lecture 3: What a Difference a Sign Makes
Unit V: Lecture 4: Inverse Hyperbolic Functions
Unit VI: Lecture 1: Some Basic Recipes
Unit VI: Lecture 2: Partial Functions
Unit VI: Lecture 3: Integration by Parts
Unit VI: Lecture 4: Improper Integrals
Unit VII: Lecture 1: Many Versus Infinite
Unit VII: Lecture 2: Positive Series
Unit VII: Lecture 3: Absolute Convergence
Unit VII: Lecture 4: Polynomial Approximations
Unit VII: Lecture 5: Uniform Convergence
Unit VII: Lecture 6: Uniform Convergence of Power Series
What makes this professor very endearing is his kind smile as he speaks.
Thinking about this man's life, seeing him somewhat young here, hid Ted talk ate age 85, and his eventual passing makes me realize how little time we really have on earth. Thank you, professor Gross and MIT. This is inspiring and makes me want to take the previous time I have to become a more educated person
Your smile will be missed herbert ross, thanks you tube for such a wonderful suggestion.
This stuff is great. His expression in words is as precise and clean as his writing on the blackboard
Wow! Old is truly gold.😍😍
Herb provides a warm and inviting introduction to a course which is otherwise notoriously intimidating to freshman students. The foundation he has doubtlessly provided to students over the years is sure to be of value and enjoyed for many years to come.
Thanks Herb. You're a treasure!
MIT is ahead of its time..
Such good content, as a student from a developing country I am quite grateful that I would be able to learn this for free. Thank you very much Mr. Gross and MIT.
I saw one of his videos on calculus shared during college. And was fascinated by how easy he made the topic. I would love to know more about how he himself approaches new topics. Respect and much thanks from India
I've never given much thought about how I approach a new topic but if you would write to me (hgross3@comcast.net) with specific questions I will be glad to address them to the best of my ability.
Excellent convincing classes....
What a beauty.. Watched without a skip.. Even though I'm done with calculas years ago..
Rest in peace professor Gross. You always have my respect.
Wonderful class from Professor Herb Gross. I am watching his videos, and I am saddened by the news of his passing. May he rest in peace.
Rest in peace . thank you for sharing this MIT.
Sir u r blessing for us in this lockdown period i was looking for calculus and accidentally find it now i m hooked to ur lectures.I HAVE recommended to lots of my friends they r very excited to learn quality mathematics for free thanku MIT tons of love from india.
Even the best IPAD or fancy technology cannot replace a brilliant lecturer like Herb
An inspiration! Prof. Gross is just amazing. I hope he lives forever. When I teach, I use this style. Just very casual, like I'm having a conversation.
Thank you for the very kind words, Michael. I especially enjoy hearing from colleagues telling me that they appreciate my efforts. In a way, thanks to video recordings and the Internet I can virtually live forever, or at least for a few more generations. It is a great feeling and one that makes me feel blessed. I am wondering whether you may have looked at my own website (www.mathasasecondlanguage.org) where all my work in arithmetic and algebra is available for anyone to sue free of charge. If you would like to chat with me more directly my email address is hgross3@comcast.net. In any event, I send you my best wishes and warmest regards.
i love to hear herbert gross saying "the limit of a sum is the sum of limits", "the limit of a quotient is the quotion of limits" he speaks this rhythimically so fast and so much information goes into my brain and if i miss it then i can replay it on and on. that is the power of the recoreded media.
i hope he makes group theory.
i often check websites to find his recent activities, because of his age, i hope he lives long and healthy.
I'm a computer engineering freshman and this lecture is way more clean and precise than my teacher's lecture, even though it has been made decades ago.
There is no veneration equal to the insights you deliver in your series on single variable calculus, and I am only on the fourth lesson. Without going too far overboard you have turned mathematics into a near religious experience. And, without sounding too flip, I've said to others, "What a dude!" What is most remarkable, is the grace you approach the subject, being both immediate and approachable. I am truly indebted. Can you recommend a companion text?
These lectures are real gemstones 💎, fantastic way of explanation, it is mind-blowing.
Thanks, Donald, for taking the time to comment. My subjective belief is that once students can internalize the “why” (that is, the theory), the easier it will be for them to internalize the “how” (that is, the computations). Too often students learn the algorithms by rote and thus it is not strange that they tend to forget the process shortly after the course is over (unless they use it over and over again.
Oh, I loved learning calculus! It is wonderful to have these lectures available. MIT is very generous to share them, and I look forward to watching them all.
I will finallybinge watch these lectures, now that I'm quarantined, Herb Gross is an amazing professor. Loved the first one
"In fact, even if you're not practicing engineers you can probably draw curves much better than I can." These lectures are so thoroughly enjoyable because Dr. Gross is such an engaging teacher; he combines rigor with the perfect amount of levity. Best wishes to you, Dr. Gross, and thank you for your tremendous contributions to mathematics education.
Thanks for the kind words, Mark. In my mind being a subject matter master is a necessary but NOT sufficient attribute for a great teacher to possess. In fact, in terms of a sports analogy, we may view the expert mathematician as a “math player” and the mathematics instructor as the “math coach”. In this analogy, it is clear that being a great player does not guarantee that you will be a good coach. When I was in high school my professional goal was to be a high school math teacher. I had no plans to be a mathematician. 40 of the 50 years that I was in the classroom were spent in the community college (and correctional institutions) helping adult mathephobes to overcome their fear of mathematics. In that venue I spent much more time trying to make sure that I was user-friendly than I did on the math content. Granted that the viewers of “Calculus Revisited” were far from being mathephobes, I still kept in mind that I was their math coach! It is not false modesty that forces me to claim that I was, at best, mediocre as a mathematician but, hopefully, quite good as a math instructor.
That's one of the best overviews of calculus I've ever seen
Thank you, Sir. This is as good as watching The Godfather of 1972.
@Whoislbj? that's why, buddy.
Thank you very much for uploading these helpful videos. I am currently studying social sciences at a Belgian university. And I have yet to come across such a great professor. While fearing maths and physics in high school, the beautiful simplicity of maths appears now as a repose to the chaotic complexity of humans, politics and society.
Thank you!
Aline
Professor Gross is gone, but his wonderful teaching lives on.
This is really a perfect approach to learn Calculus not just for mathematics perspective but for a real world physical problems. I accidentally find this video today, fortunately it will be great finding of mine....Thank you for your Great work.
dear Professor Gross,
I have recently discovered your lectures via MOOC and would like to say how enjoyable they are. Fautles presentation without an 'umm' or 'ahh' to be heard. I graduated in1968 in the UK so the chalk and blackboard are just my style; Your lectures have shone a bright light in some dusty corners of my brain !
A small aside. Why do americans say math rather than maths, as it is a contraction of mathmatics.
Thanks for the kind words Terrence. They are greatly appreciated. You ask a very interesting question in the sense that I have always wondered why the English say “maths” instead of “math”. I guess it is an example of how easy it is to confuse what one believes with what one thinks is logical. As a rather humorous aside, when I type “maths” Spellcheck tells me it should be “math”
Herb Gross Actually, "mathematics" as a word is a collective noun. We say "My favorite subject _is_ mathematics" not "are mathematics." Neither is "Maths" a contraction of mathematics as there is no apostrophe. There is no right or wrong, it's simply a variation in culture. I am an American expat living in England (with a bachelor of science in math from an American University) and I encounter these difference all the time, sometimes in the form of nationalistic bigotry. It's all stuff and nonsense to me.
Professor Gross, I have followed your lectures on youtube for many years now and thoroughly enjoy your clear and compelling teaching style. Many thanks for your great legacy.
Robert Harrington
Amesbury, England
Robert Harrington Hi Robert,
I guess that at age 85 some of my ability to multitask has been diminished, In any event for some unexplained reason I missed seeing your message until today. I liked your “defending” of Mathematics as a collective noun. It makes sense. And I am very pleased that you are enjoying my videos. Producing the course was a labor of love. On a different note you mentioned that you have been watching my videos for several years. Does this mean you were watching them prior to their being made available on the Internet?
Again, I appreciate your having taken the time to write and send you my best wishes for success in all of your endeavors.
With warmest regards,
Herb
Herb Gross Hi Professor Gross. Sorry, like you I only just caught your reply.
To answer your question, I first came upon your videos on youtube in 2007 or thereabouts. It was uploaded by someone who posted them as 'Bela Lugosi teaches math,' for some reason. It was obviously a tongue-in-cheek posting though the point of the humor was rather lost on me. Nevertheless, I found the videos fascinating and watched them for a while. Then later I discovered MIT Open Courseware and so -- there you are again. Welcome back. Good to see you.
Your appreciative student,
Robert Harrington
@@a690ac52ed7 RIP SIR.... you will be remembered
Professor Herb Gross, thank you for such an interesting lecture/course.
Very well explained! Couldn't ask for more.
I'm really enjoying this. You go into more of the fundamental details than I've been noticing with the newer professors who seem to emphasis computations over the concepts.
Thanks for the kind and flattering comment. In my own case the benefit I derived from going to class was that I was able to benefit from the thoughts and questions that were brought up by other students. So while I am extremely happy to use the Internet to share my thoughts with you and others, the fact is that you miss out on ideas that you and other viewers might have benefitted form if you all had been in the same classroom.
this is a true master
So clear. So joyous. Everything you could want and need in a calculus lecture. A fantastic series.
prof. Gross, you have my eternal gratitude.
This was so informative. Thank you so much for your insight.
You’re a true pioneer of distance learning.
Thank you, Sir.
Wow, I love this guy. I will definitely be watching this as a sidebar to my calculus course.
Explanation about paradox was very good. I could finally understand it.
I would have 12 hours maths course per day if i could get a teacher like him. That is what a teacher should you: inspiration
Rest in peace...
Thank you professor Gross for sharing such amazing lectures, I'm happy to watch and enjoy these didactic explanations. Greetings from Argentina!
The human touch. Well done. You can tell he likes to teach.
Bro's lectures still rock in 2023.
This looks like something promising and that is rare in worlds that hate education. Thank you!
Hello Sir, thank you very much for this beautiful lecture and the series too. I also saw your Ted Talk and I also know your efforts to make maths easy for students "Maths a second language". Gratitude and love from India.
simple , articulate , on point , he really understands the subject that's why he dliver it simply .
This is absolutely beautiful! IMO it is much harder for a student to understand a course if a teacher doesnt explain the underlying ideas behind the definitions and theorems. Here however they are explained perfectly and in a very pleasant manner, which makes these videos so outstanding compared to other styles of teaching. Thank you so much for this!
My god, this was delightful. SO simple and to the point.
Dear Sir, Thanks a lot for this kind of Lectures.
Your Logical, Deep and Smiling approach is the one which encourages me to pursue my goals in this hard world of Calculus!
I am so much thankful to you. I can only pray, May Allah bless you.
I really have to wonder why teachers in the modern day can't teach like this? If you were the calculus teacher at my high school, I'm pretty sure I would be correct in saying every single student would be able to pass with flying colors, that is the level to which you explain the concepts--not simply list them, show how they work a bit, and then leave it at that--AND you go over their applications (why we should care about those concepts). I sincerely thank you for these lectures, they have been of great benefit to me.
Thank you for the very kind words, Muhammad. I greatly appreciated them. And while I am very pleased by what you have written, let me also point out a huge advantage I had that is not usually available to teachers in the classroom. Namely, I had no time constraints in developing a lecture. When the material was relatively complex, I might take as long as 30 hours before the content and the way it was written the boards met my expectations. In addition to that, the director of the Center and one other person would meet with me and go over everything I wanted to do and they would tell me where something I might want to do could be confusing etc.
However once the video was completed it was systemic in the sense that every viewer, in any location and in any point in time would see exactly the same thing. And from my point of view, the reward was obvious. For example it is now 45 years later and the video is still inspiring you and others! What more could I possibly ask for??!!
Keep enjoying and keep learning!!
Rest in peace sir.
His passion for mathematics is emotionally moving