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MIT recorded a set of Calculus video courses back in 1970s that they have since made publicly available. It is taught by a lecturer named Herbert Gross. His sty

MIT recorded a set of Calculus video courses back in 1970s that they have since made publicly available. It is taught by a lecturer named Herbert Gross. His style of lecturing is clear, he states why things are defined the way they are and derives everything from first principles. There is an unusual mix of rigor and focus on building understanding - where everything comes from. It also taught me that math is about reasoning logically and rigorously and we shouldn't always rely on intuition (at least while doing math). Deriving almost all the basic calculus results that were drilled into me from the basic concept of a limit, deltas and epsilons was really refreshing. Compared to more recent OCW calculus videos, I found this to be better in terms of respecting the learner's intellect, presenting the whole proof rigorously and teaching the student to think a certain way. Calculus Revisited: Single Variable Calculus | MIT OpenCourseWare - https://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/index.htm https://ocw.mit.edu/resources/res-18-006-calculus-revisited-... Complex Variables, Differential Equations, and Linear Algebra - https://ocw.mit.edu/resources/res-18-008-calculus-revisited-complex-variables-differential-equations-and-linear-algebra-fall-2011/index.htm https://ocw.mit.edu/resources/res-18-008-calculus-revisited-... Calculus Revisited: Multivariable Calculus | MIT OpenCourseWare - https://ocw.mit.edu/resources/res-18-007-calculus-revisited-multivariable-calculus-fall-2011/index.htm https://ocw.mit.edu/resources/res-18-007-calculus-revisited-...

mttyng 9y ago
I watched those lectures in the early stages of my degree and, to confirm what you've stated, they helped me gain a more concrete understanding of the fundamentals of calculus. Highly recommended! Thanks for sharing.
deleted 9y ago
[deleted]
ziikutv 9y ago
So a while back, I said I am going to start writing "Colloquial books" about all of the courses I took as I relearn all of the stuff in my and other Engineering Branches (minus the grade-gun pointed at my head). One of the first courses are of course Calculus. I skimmed through some of these video lectures, I wonder if I even should write books for this. Or simply href. Thank you for the share. Will be of great help to me come summer.
- TsukiZombina 9y ago
  I thought the same as you!
  - ziikutv 9y ago
    Its going to be open source so, you can put your thoughts into action if you want. =D Edit: add smiley face.
tedd4u 9y ago
Thanks for sharing this - watched the intro lecture and I'm hooked! This is my idea of "Netflix & chill"
- jacobolus 9y ago
  Note that “Netflix and chill” is a euphemism for casual sex. http://www.urbandictionary.com/define.php?term=netflix%20and%20chill http://www.urbandictionary.com/define.php?term=netflix%20and...
  - vinchuco 9y ago
    I wonder sometimes if Netflix made this expression a meme for its advertising value or if it just came about as a natural meme
    - mhue 9y ago
      https://youtu.be/5H8XmXuljCs?t=1m25s https://youtu.be/5H8XmXuljCs?t=1m25s
  - hellofunk 9y ago
    How do you know that's not what he meant?
    - warent 9y ago
      Derivatives and chill prime
      - _e 9y ago
        Prime(s) and chill
  - gmfawcett 9y ago
    I learned of this euphemism one night at our family dinner table, when I suggested to our teenage kids that we all take some time after dinner to "Netflix and chill." Needless to say, they were a bit surprised by the suggestion. :)
barking 9y ago
I hope the folks at Gallaudet University don't come across these
joericky233223 9y ago
>MIT recorded a set of Calculus video courses back in 1970s that they have since made publicly available. Could you please post the links to this videos.
- theCricketer 9y ago
  Sorry I should have made it more clear - the links are at the end of my comment.
deleted 9y ago
[deleted]
lunchladydoris 9y ago
I just had a look at the first video in the first course on YouTube [0] and was delighted to see Herb Gross responding in the comments. Clearly this is a man who loves his subject and loves introducing it to others. [0] https://www.youtube.com/watch?v=MFRWDuduuSw https://www.youtube.com/watch?v=MFRWDuduuSw
- smnplk 9y ago
  Yes, what a gem of a man.He also posted his email address in the comments for a young high school student for any further help. He is 88 years old now, I hope he is in good health.
- flor1s 9y ago
  That's so beautiful that I have to admit my eyes started to tear a little bit. It's lovely to live in a world in which wonderful people are empowered to touch people all over the world in such a powerful and profound way.
- Baeocystin 9y ago
  That was a delight to watch. Genuine enthusiasm always is. Thanks for making me aware of Mr. Gross.
dmix 9y ago
Reminds me of the MIT SICP lecture videos from the 80s. The concepts of black box abstraction and the simplicity of using LISP like lego building blocks blew my mind and made me switch from being a UX designer dabbling in Rails to a full blown programmer. It was still entirely relevant to today even though it was a few decades old as the fundamentals of computer science are still fundamental. https://www.youtube.com/watch?v=2Op3QLzMgSY&list=PL8FE88AA54363BC46 https://www.youtube.com/watch?v=2Op3QLzMgSY&list=PL8FE88AA54... Hearing that intro music still brings a smile to my face. I just happen to be relearning math right now as I dive deeper into data science and this is perfect timing. Going to watch this series once I get through my math proofs book ("Book of Proof" by Richard Hammack which I recommend to people getting into math https://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472108/ https://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472...).
- theoh 9y ago
  The Book of Proof is freely available online: http://www.people.vcu.edu/~rhammack/BookOfProof/ http://www.people.vcu.edu/~rhammack/BookOfProof/
kenny87 9y ago
at the opposite extreme, we should not always rely on logic and rigor when doing math - https://terrytao.wordpress.com/career-advice/there%E2%80%99s-more-to-mathematics-than-rigour-and-proofs/ https://terrytao.wordpress.com/career-advice/there%E2%80%99s...
- kazinator 9y ago
  Mathematics requires creativity. Conjectures do not arise from logic and rigor. If that were the case, they would never be wrong, and thus not require proof. If mathematicians don't come up with conjectures, then mathematics doesn't advance. A formal system's territory is connected together by rigor; but whence comes the formal system itself? That has to be imagined.

mttyng 9y ago

I watched those lectures in the early stages of my degree and, to confirm what you've stated, they helped me gain a more concrete understanding of the fundamentals of calculus. Highly recommended! Thanks for sharing.

deleted 9y ago

[deleted]

ziikutv 9y ago

So a while back, I said I am going to start writing "Colloquial books" about all of the courses I took as I relearn all of the stuff in my and other Engineering Branches (minus the grade-gun pointed at my head). One of the first courses are of course Calculus. I skimmed through some of these video lectures, I wonder if I even should write books for this. Or simply href. Thank you for the share. Will be of great help to me come summer.

TsukiZombina 9y ago
I thought the same as you!
- ziikutv 9y ago
  Its going to be open source so, you can put your thoughts into action if you want. =D Edit: add smiley face.

tedd4u 9y ago

Thanks for sharing this - watched the intro lecture and I'm hooked! This is my idea of "Netflix & chill"

jacobolus 9y ago
Note that “Netflix and chill” is a euphemism for casual sex. http://www.urbandictionary.com/define.php?term=netflix%20and%20chill http://www.urbandictionary.com/define.php?term=netflix%20and...
- vinchuco 9y ago
  I wonder sometimes if Netflix made this expression a meme for its advertising value or if it just came about as a natural meme
  - mhue 9y ago
    https://youtu.be/5H8XmXuljCs?t=1m25s https://youtu.be/5H8XmXuljCs?t=1m25s
- hellofunk 9y ago
  How do you know that's not what he meant?
  - warent 9y ago
    Derivatives and chill prime
    - _e 9y ago
      Prime(s) and chill
- gmfawcett 9y ago
  I learned of this euphemism one night at our family dinner table, when I suggested to our teenage kids that we all take some time after dinner to "Netflix and chill." Needless to say, they were a bit surprised by the suggestion. :)

barking 9y ago

I hope the folks at Gallaudet University don't come across these

joericky233223 9y ago

>MIT recorded a set of Calculus video courses back in 1970s that they have since made publicly available. Could you please post the links to this videos.

theCricketer 9y ago
Sorry I should have made it more clear - the links are at the end of my comment.

deleted 9y ago

[deleted]

lunchladydoris 9y ago

I just had a look at the first video in the first course on YouTube [0] and was delighted to see Herb Gross responding in the comments. Clearly this is a man who loves his subject and loves introducing it to others. [0] https://www.youtube.com/watch?v=MFRWDuduuSw https://www.youtube.com/watch?v=MFRWDuduuSw

smnplk 9y ago
Yes, what a gem of a man.He also posted his email address in the comments for a young high school student for any further help. He is 88 years old now, I hope he is in good health.
flor1s 9y ago
That's so beautiful that I have to admit my eyes started to tear a little bit. It's lovely to live in a world in which wonderful people are empowered to touch people all over the world in such a powerful and profound way.
Baeocystin 9y ago
That was a delight to watch. Genuine enthusiasm always is. Thanks for making me aware of Mr. Gross.

dmix 9y ago

Reminds me of the MIT SICP lecture videos from the 80s. The concepts of black box abstraction and the simplicity of using LISP like lego building blocks blew my mind and made me switch from being a UX designer dabbling in Rails to a full blown programmer. It was still entirely relevant to today even though it was a few decades old as the fundamentals of computer science are still fundamental. https://www.youtube.com/watch?v=2Op3QLzMgSY&list=PL8FE88AA54363BC46 https://www.youtube.com/watch?v=2Op3QLzMgSY&list=PL8FE88AA54... Hearing that intro music still brings a smile to my face. I just happen to be relearning math right now as I dive deeper into data science and this is perfect timing. Going to watch this series once I get through my math proofs book ("Book of Proof" by Richard Hammack which I recommend to people getting into math https://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472108/ https://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472...).

theoh 9y ago
The Book of Proof is freely available online: http://www.people.vcu.edu/~rhammack/BookOfProof/ http://www.people.vcu.edu/~rhammack/BookOfProof/

kenny87 9y ago

at the opposite extreme, we should not always rely on logic and rigor when doing math - https://terrytao.wordpress.com/career-advice/there%E2%80%99s-more-to-mathematics-than-rigour-and-proofs/ https://terrytao.wordpress.com/career-advice/there%E2%80%99s...

kazinator 9y ago
Mathematics requires creativity. Conjectures do not arise from logic and rigor. If that were the case, they would never be wrong, and thus not require proof. If mathematicians don't come up with conjectures, then mathematics doesn't advance. A formal system's territory is connected together by rigor; but whence comes the formal system itself? That has to be imagined.