Robert Ghrist’s series on coursera is amazingly well done. The multivariate course is still in preparation, but thecorrespondingebooks are already on Amazon.
So I made a list of the courses. If I complete these then that is enough for understanding at least some of the Calculus part that comes up in articles? I know it would depend on what I am reading but at least some part of the articles that beginners may come across?
If you are going for the short-term utilitarian approach, I would recommend doing courses 1 and 2 from the list, and then reading the ebooks 1 and 2.
However, if you can make time, I would recommend doing all the courses, because they kind of reinforce each other. Your understanding of differentiation is strengthened by the integration chapters, and the discrete calculus chapters cause you to review everything learned in a new light, again reinforcing the learning.
Here’s a few (I’m a visual learner and a computational designer and software engineer so explaining abstract math concepts visually I can grasp much easier).
BetterExplained - probably some of the better visualized explanations of math - he has lots of links to Calculus classes other than the ones I found on Coursera that I recommend. He has a good book too.
Brilliant - more quizlet-like, magoosh like Q&A but great interactive to remember concepts.
The book consists of ~2 page sections with great practice problems at the end of each section. He does a great job providing both conceptual understanding and practical implementation.
Calculus made easy by Slyvanus Thompson. Quite possibly the best calculus book I’ve ever read. Its free online or you can buy on amazon. It’s like 100 years old.
+1 for 3Blue1Brown, amazing content. If you are like me and you like to learn by solving problems I can highly recommend the Art of Problem Solving books, they cover calculus as well. As you said you are doing this for the long-term I can also recommend Understanding Analysis by Stephen Abbott, which is a nice, and very readable, introduction if you prefer to go deeper.
Hi, I just was looking up the same query and all these threads are extremely helpful. I want to contribute to this budding repository also. I have also found these really simple to find concept explainers of arithmetic and geometric sequences and I also suspect that they have more on other concepts. Glad i could pay some forward