#149 overall
Essence of Calculus
YouTube
3 recommenders · 3 threads · recommended in 3 years, 2018–2023 · score 2.9
A YouTube video series by Grant Sanderson (3Blue1Brown) that builds intuition for the core ideas of calculus, mainly derivatives and integrals, through animated visual explanations.
Commenters call it an excellent take on calculus and a good way to get the basics before more advanced math.
Mathematicsbeginnerfreevideo lectures#calculus#derivatives#integrals#visualization#3blue1brown#sanderson
Recommendations by year
20062026
Try these:
An interactive website https://seeing-theory.brown.edu that takes you through some of the most critical probabilities and statistics concepts.
Statistics 110: Probability
If you want a more advanced overview of Probabilities and Statistics, this course from Harvard University is an excellent introduction:
https://www.youtube.com/playlist?list=PL2SOU6wwxB0uwwH80KTQ6...
This is MIT Course 18.06, taught by Professor Gilbert Strang.
https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra...
One of the best linear algebra courses that you’ll ever find.
Essence of Calculus
This is Grant Sanderson’s excellent take on calculus:
https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53...
It's interesting how content discovery has remained ad-hoc despite the arrival of ed-tech platforms like Coursera or EdX. People still prefer to ask for best books, courses, podcasts, cheatsheets on Slack/Discord/Twitter etc.
I think this has to do with the conflict of interest. Any platform that creates its own educational content, necessarily becomes bad at content _curation_. For ex, 3Blue1Brown has amazing series on linear algebra and calculus but we don't find Coursera pointing to it.
Essence of calculus[0] by 3blue1brown for the basics and the second course in the Coursera Mathematics for Machine Learning would let you get started. You would rarely need calculus more advanced than that covered in the above, and if need be you will be in a position to look it up quickly. If you can sustain your interest in ML over a long period of time and are in no hurry, I would recommend going through all the math mentioned. If you are a top-down learner, the fast.ai course on ML and deep learning for coders will get you started head-first. All the best!
[0] - https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53...
I've never been to high school or college. The last school grade I completed with 7th -- or really just 6th. I can go into that in more detail if you like but there's a lot of personal drama that is irrelevant.
I will say that math is one of those things that you don't need to go to school to learn if you are persistent and passionate enough to learn on your own. There are tons of ways to learn.
First is to determine where you are. For that I highly recommend taking some of Khan Academy's free math courses. They start at the very basics. You will get bored of those.
But after that... I would say to take some things in your life and determine how to apply math. Create your own questions and try to answer them.
When I was 26 I was at the tail end of a janitorial job. I had applied (and learned) math to determine how much cleaning stock would likely be in use each week. Sometimes the math was "wrong" in so much as cleaning stock would be used more frequently or less frequently depending on what events there were that week. But it was a good exercise.
I'd also been writing some software on the side. Software and math are like two peas in a pod. A lot of people will tell you that you don't need to learn math to write software and they might be right for certain kinds of software. But even if you don't need math for software, it will certainly help. I now write software to fly drones and geometry is one of the core requirements.
Beyond the basics are Khan Academy there are plenty (!) of youtube videos from mathematicians who describe some of the simple [0] and more complex [1] concepts. Those have also been handy to me. All you need to do is search one math term that involves what you think you want to learn. A lot of the videos will include links to other videos that are prerequisites. Almost all of them will mention math words that will be new to you and if you search for those math terms you are likely you find other useful information.
Ten years ago I would have recommended that you search Google. Now? Don't do that. Google is full of trash and shit that want to take your money. Use Wikipedia, youtube, and reddit.
I've found 3blue1brown's lessons [0] [1] to be quite insightful for myself and have successfully used knowledge learned from his videos.
[0]: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x...
[1]: https://www.youtube.com/playlist?list=PLZHQObOWTQDNPOjrT6KVl...