Gilbert Strang: Linear Algebra vs Calculus



Full episode with Gilbert Strang (Nov 2019): https://www.youtube.com/watch?v=lEZPfmGCEk0
New clips channel (Lex Clips): https://www.youtube.com/lexclips
As soon as it reaches 20,000 subscribers, I will begin posting the clips there as a substitute.
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For now, new full episodes are launched a couple of times every week and 1-2 new clips or a brand new non-podcast video is launched on all different days.

Clip from full episode: https://www.youtube.com/watch?v=lEZPfmGCEk0 When you get pleasure from these clips, subscribe to the brand new clips channel (Lex Clips): https://www.youtube.com/lexclips As soon as it reaches 20,000 subscribers, I will begin posting the clips there as a substitute. For now, new full episodes are launched a couple of times every week and 1-2 new clips or a brand new non-podcast video is launched on all different days.
(extra hyperlinks beneath)

Podcast full episodes playlist:
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Gilbert Strang is a professor of arithmetic at MIT and maybe one of the well-known and impactful lecturers of math on the planet. His MIT OpenCourseWare lectures on linear algebra have been seen thousands and thousands of occasions.

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21 thoughts on “Gilbert Strang: Linear Algebra vs Calculus”

  1. Full episode with Gilbert Strang (Nov 2019): https://www.youtube.com/watch?v=lEZPfmGCEk0
    New clips channel (Lex Clips): https://www.youtube.com/lexclips
    Once it reaches 20,000 subscribers, I'll start posting the clips there instead.
    (more links below)

    For now, new full episodes are released once or twice a week and 1-2 new clips or a new non-podcast video is released on all other days.

    Podcast full episodes playlist:
    https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4

    Podcasts clips playlist:
    https://www.youtube.com/playlist?list=PLrAXtmErZgOeciFP3CBCIEElOJeitOr41

    Podcast website:
    https://lexfridman.com/ai

    Podcast on Apple Podcasts (iTunes):
    https://apple.co/2lwqZIr

    Podcast on Spotify:
    https://spoti.fi/2nEwCF8

    Podcast RSS:
    https://lexfridman.com/category/ai/feed/

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  2. Linear algebra are typically proof-based classes while calculus can be proof-based or formula-based. Early college level calculus can just be an easy-to-learn formula-based class (first to learn)… but linear algebra classes are almost always proof based regardless if it is matrix based or linear space based (second to learn)… proof based calculus like real analysis with limit, continuity, derivative, differential form are indeed much harder to learn (third to learn)

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  3. Linear Algebra is most definitely easier than advanced calculus. Matrixes are beautifully straightforward, Calculus, especially once you get into weird integrals and some multivariable problems, gets really nasty.

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  4. The sad thing is that most people don’t fully understand what is going on within calculus, but are taught a simplified version and are able to calculate what they are told. In this way, calculus can be easier to get through.

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  5. I took a 6 unit class that was linear algebra and differential equations together, which made sense once I learned you could solve DEs with LA. It was just sooo brutal and linear algebra is still more abstract in a lot of ways to me. It was a lot harder to conceptualize

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  6. Calculus and Algebra lol
    They’re two different things…

    The “Linear” affixed adjective word in front of algebra is weighing so much on mathematical fallacy….
    Algebra is no easier than calculus.. doesn’t matter how deep or high you go in dimensions. There’s still a type algebra for every type of calculus.

    One generates and the other breaks down and untangles.
    And besides, it doesn’t really matter, because if we really were talking about Newton’s calculus , it would be much more blatantly evident.. all the calculus they teach in schools is Leibniz’s calculus. If anybody wants me to elaborate or show proofs, reply to my comment.

    Reply
  7. Calculus is cool, intuitive, and inspires outside the box thinking. You can't discuss the orbits of the planets without calculus.

    Linear algebra is boring, tedious, and methodical. Almost no one needs it.

    A better alternative to linear algebra is combinatorics.

    Reply
  8. When I was learning about neural networks and the math behind it in later undergrad/grad school it felt like the perfect next level because you begin to apply calculus with linear algebra techniques. It makes even more sense after doing your multivariate and diff Eq courses. They do feel interchangeable in which should come first but I think the current set up now makes sense because you want to learn as many tools as possible in a simpler setting before going to the nth dimension

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  9. Looking at this comments section I see a problem that likely causes the disconnect between those who are literate in higher math or ANY math and those that are not: little if ANY time is ever spent on EXAMPLES of what we're abstracting or attempting to calculate/represent…..the power and torque of an engine vs rpm, price elasticity responses in markets vs time……etc etc.

    The secret here is of course that most of our universe is not linear. Maybe close. Some important things are. But this was lost on me (really never even found in the first place!!!) even as as someone who would go on to take a EE/CompSci curriculum and work in semiconductor research. I no longer do that for several reasons but the point remains: more repetition at LEAST regarding the WHY and the applications.

    Someone has to be that guy or gal to get lost in the theory and keep expanding our understanding….but for those that desire to learn…old or young…those that know need to keep in mind where the learners are coming from and the gap that must be bridged. On the other side of the gap is often a bag of wings from Buc-Eee's and a fisherman wondering why doubling the engine on his boat has so much less of an effect than doubling the engine on his truck 😉

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