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A 2020 Vision of Linear Algebra

ocw.mit.edu

11–20 of 205 posts

Re: A 2020 Vision of Linear Algebra

#11
It is interesting to compare this with 3Blue1Brown's linear algebra introduction on YouTube. He seems to have been the only mathematician who has actually mastered the medium; linear algebra lends itself very well to animations. The mathematicians don't understand how badly they need to animate some of these concepts.

Re: A 2020 Vision of Linear Algebra

#12
post #5
post #2

Gilbert Strang's linear algebra course blew my mind back in high school, and I still use insights from it every day. Strang has a particular lecturing style where he approaches every topic several times, often beginning many lectures before the main treatment. At first I thought it was a bit confusing, but later I realized it helped build fluency, just like a language class. I'm really thankful to MIT OCW for putting…

Of course it is up to you what you do with your money but, they have a $17.5B endowment so there may be more needy causes if you were so inclined.

Is there a better way to incentivize educational institutions to offer free content?

Re: A 2020 Vision of Linear Algebra

#13
post #5

Earlier quoted context omitted.

Of course it is up to you what you do with your money but, they have a $17.5B endowment so there may be more needy causes if you were so inclined.

OCW opens up top-notch education to anyone and everyone, regardless of social or economic background. I wouldn’t take it for granted even with MIT’s eye-watering endowment, and I doubt donations to it are going to be paying cafeteria lunches for the students. I hope you’re donating and actively contributing to many non-profit projects and that your comment comes from being tired of the world’s injustices rather than…

I think his point is there are plenty of other noble causes that could use the money a lot more.

Re: A 2020 Vision of Linear Algebra

#14
post #11

It is interesting to compare this with 3Blue1Brown's linear algebra introduction on YouTube. He seems to have been the only mathematician who has actually mastered the medium; linear algebra lends itself very well to animations. The mathematicians don't understand how badly they need to animate some of these concepts.

Agree, world class education in maths there. He understands the importance of examples and visualization and it changes everything.

Re: A 2020 Vision of Linear Algebra

#16
I started by only reading his book thinking it was enough. I was very wrong, these videos marry themselves beautifully with the content of the book which suddenly became incredibly clear once I started watching the videos. Strang teaching style can also seem odd at first, but don't give up, he is an amazing teacher who makes every concept simple to understand. This course is a true gift.

Re: A 2020 Vision of Linear Algebra

#17
As someone who understands nothing of linear algebra, I have to say this "introduction" was gibberish. He may be a fantastic teacher, and perhaps it's a bit much to expect a 4 minute video to teach me anything, but it reminds me of talks from business people where what they're saying is obvious if you already understand it, and completely obscure otherwise.

Re: A 2020 Vision of Linear Algebra

#20
post #17

As someone who understands nothing of linear algebra, I have to say this "introduction" was gibberish. He may be a fantastic teacher, and perhaps it's a bit much to expect a 4 minute video to teach me anything, but it reminds me of talks from business people where what they're saying is obvious if you already understand it, and completely obscure otherwise.

This is not a course, or a primer or an introduction on Linea Algebra.

From the course description:

> These six brief videos, recorded in 2020, contain ideas and suggestions from Professor Strang about the recommended order of topics in teaching and learning linear algebra.

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