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https://www.youtube.com/channel/UCafIamqsRUHoRT4496jgvMQ
And I'm also working on a website that has a fair bit of the foundations:
Admittedly, we don't have a huge amount of the higher stuff yet. But we are making our way through steadily :) Hopefully it's of some help to you
> part of the major was just a couple of calculus and discrete math courses On Coursera [0] there are a lot of courses on math [1], including on discrete math [2]. [0] https://en.wikipedia.org/wiki/Coursera [1] https://www.coursera.org/courses?query=mathematics [2] https://www.coursera.org/courses?query=discrete%20mathematic...
I would advice against resources like KA and 3B1brown. I'm a firm believer that you don't truly understand material unless you also understand a proof for it. Ane while those resources are AMAZING for simple intuition building, they aren't sufficient. Go pick up a book about proofs to develop mathematical maturity and then delve into some undergrad books for analysis (Abbott) or linear algera (Axler)
I'd say the same is true for proofs. Simply reading a proof isn't the best if you want to understand/retain it. If you can "re-invent" the proof step by step (or in some contexts you might be able to translate steps between geometric and algebraic representations), then you have probably internalized it sufficiently.
I'm making youtube videos https://www.youtube.com/channel/UCafIamqsRUHoRT4496jgvMQ And I'm also working on a website that has a fair bit of the foundations: https://treena.org/ Admittedly, we don't have a huge amount of the higher stuff yet. But we are making our way through steadily :) Hopefully it's of some help to you
"Enrol Now" should be "Enroll Now" :)
I’m working through the entirety of brilliant.org right now; some of its courses are specifically maths, and the skill level goes from introductory courses all the way up to maths-degree level topics.
Perhaps a hands-on approach such as solving the exercises while working through this book will prove beneficial and is complimentary to watching, say, KA or 3B1B.
[1]: https://www.amazon.com/How-Prove-Structured-Daniel-Velleman/...
I'm making youtube videos https://www.youtube.com/channel/UCafIamqsRUHoRT4496jgvMQ And I'm also working on a website that has a fair bit of the foundations: https://treena.org/ Admittedly, we don't have a huge amount of the higher stuff yet. But we are making our way through steadily :) Hopefully it's of some help to you
This looks really neat. I noticed a typo on https://tuition.treena.org/ "Enrol Now" should be "Enroll Now" :)
I would advice against resources like KA and 3B1brown. I'm a firm believer that you don't truly understand material unless you also understand a proof for it. Ane while those resources are AMAZING for simple intuition building, they aren't sufficient. Go pick up a book about proofs to develop mathematical maturity and then delve into some undergrad books for analysis (Abbott) or linear algera (Axler)
Perhaps another facet to this is that both KA and 3B1B are primarily video lectures, and it's common knowledge that simply listening to someone explain something performs poorly for learning relative to actually getting hands-on with the topic. KA is even trying to fill this gap. They've added interactive visualizations for some topics. I'd say the same is true for proofs. Simply reading a proof isn't the best if you…