Herb Gross's ultra-classic old-school chalkboard delivery of "Calculus of Complex Variables, Differential Equations, and Linear Algebra" should not be missed:
This professor has a great delivery and a ton of enthusiasm for the subject material, (but you can't just watch it, to absorb it you have to take notes, maybe recreate the examples in Python or something).
Herb Gross! Love that series. Brings me back to my old days. I actually wrote him an email and he wrote back so kindly
>>
Thank you for taking the time to write to me. It is greatly appreciated. I am extremely pleased that work I did over 40 years ago is now available to help others. I hope you will keep me posted on your progress.
I wish I could be more helpful to you. However you might find it a bit strange to know that the five years I spent at MIT were a pleasant diversion from my career work. More specifically the rest of my teaching career was spent in helping “math phobic” adult learners at community colleges and in prisons learn to cope successfully with arithmetic and basic algebra.
I retired at the age of 75 in 2003 so that I could develop my own website where I am posting my videos, power point presentations and other written material in arithmetic and algebra for anyone to use free of charge. In fact I would be delighted if you found time to look at it and let me know what you think about it. You should feel free to comment in my guestbook if you so desire.
The bad news is that I have virtually no knowledge in the areas of more advanced mathematics. However part 3 of Calculus Revisited which was just posted last week by OCW does have introductory lectures in differential equations, complex variables and linear algebra.
I wish I could be more helpful to you but my hope is that the material that is posted on OCW will give you a good background in your pursuit of higher mathematics knowledge.
I wish you the very best and look forward to hearing from you again, especially if you ever feel that my input can be of help to you.
OMG I owe me pushing my career to the next level due to Pavlo's course! There's so many technical interviews where I've impressed my interviewer with explaining low-level details of how databases do things. Don't be fooled by the course name though, it's pretty rigorous but so rewarding and practical (especially if you are a data engineer). I give this course an A+ for teaching me about B+ trees in C++ :D
I am quite fond of the three molecular biology courses from MIT on edx [1][2][3]. Not only are the lectures great, but they also have spaced repetition built in. The exercises are often great counterfactual questions that encourage deep understanding.
As Prof. Snyder mentions in his introductory lecture, it is kind of wild that there are zero other classes, at any American university, focusing specifically on Ukraine given its importance in the current geopolitical climate.
Prof. Snyder is a great lecturer and the dynamics that shape Ukraine are fascinating and useful for understanding European history more broadly.
I really liked The Theoretical Minimum lectures on classical and quantum mechanics by Leonard Susskind (suggestion: google up the guy, he’s cool) at Stanford. You can buy books, but the lectures are all free on YouTube.
ViaScience also has a great playlist on the 'story' of quantum mechanics. I don't have much background in the field or physics in general, but the presentation and explanations in the series are (to the degree possible) followable and an incredible example of straight-forward, no frills, presentation with excellent visualizations. There are long digressions into the actual math and equations as well, though if you're just interested in the history you can skip those. Simply as a story of problem solving and imagination the story of quantum mechanics is fascinating in its own rite.
Readit News
https://youtu.be/BOx8LRyr8mU
It turns out he also produced a complete series on the precursor material, "Single Variable Calculus" as well, which I only just now discovered:
https://ocw.mit.edu/courses/res-18-006-calculus-revisited-si...
This professor has a great delivery and a ton of enthusiasm for the subject material, (but you can't just watch it, to absorb it you have to take notes, maybe recreate the examples in Python or something).
>>
Thank you for taking the time to write to me. It is greatly appreciated. I am extremely pleased that work I did over 40 years ago is now available to help others. I hope you will keep me posted on your progress.
I wish I could be more helpful to you. However you might find it a bit strange to know that the five years I spent at MIT were a pleasant diversion from my career work. More specifically the rest of my teaching career was spent in helping “math phobic” adult learners at community colleges and in prisons learn to cope successfully with arithmetic and basic algebra.
I retired at the age of 75 in 2003 so that I could develop my own website where I am posting my videos, power point presentations and other written material in arithmetic and algebra for anyone to use free of charge. In fact I would be delighted if you found time to look at it and let me know what you think about it. You should feel free to comment in my guestbook if you so desire.
The bad news is that I have virtually no knowledge in the areas of more advanced mathematics. However part 3 of Calculus Revisited which was just posted last week by OCW does have introductory lectures in differential equations, complex variables and linear algebra.
I wish I could be more helpful to you but my hope is that the material that is posted on OCW will give you a good background in your pursuit of higher mathematics knowledge.
I wish you the very best and look forward to hearing from you again, especially if you ever feel that my input can be of help to you.
With warmest regards and best wishes,
Herb
1. Ask HN: What's the best lecture series you've seen? - https://news.ycombinator.com/item?id=34591291
2. Ask HN: Recommend me a course on Coursera - https://news.ycombinator.com/item?id=22826722
3. Ask HN: What are the best MOOCs you've taken? -https://news.ycombinator.com/item?id=16745042
4. Ask HN: Top Coursera Courses? - https://news.ycombinator.com/item?id=25245125
Found some mind-expanding, really edifying courses in these thread.
There's also a website dedicated to MOOCs, and some underrated gems are there: Class Central.
There was a recent list in freeCodeCamp: https://www.freecodecamp.org/news/coursera-free-online-cours...
MIT 6.824 Distributed Systems by Robert Morris - https://www.youtube.com/watch?v=cQP8WApzIQQ&list=PLrw6a1wE39...
It looks really good
Edit: link to course planning and labs https://pdos.csail.mit.edu/6.824/schedule.html
[1] https://www.edx.org/course/molecular-biology-part-1-dna-repl...
[2] https://www.edx.org/course/molecular-biology-part-2-transcri...
[3] https://www.edx.org/course/molecular-biology-part-3-rna-proc...
Anybody in computational biology btw ? slack, irc.
As Prof. Snyder mentions in his introductory lecture, it is kind of wild that there are zero other classes, at any American university, focusing specifically on Ukraine given its importance in the current geopolitical climate.
Prof. Snyder is a great lecturer and the dynamics that shape Ukraine are fascinating and useful for understanding European history more broadly.
Classical mechanics playlist can be found here https://youtube.com/playlist?list=PL47F408D36D4CF129 and then there’s quantum mechanics available too, should be easily discoverable. And also there’s just https://theoreticalminimum.com/
Not sure if they qualify to be a “true” uni course though, because in this case nobody’s gonna give you assignments and grades :)
https://www.youtube.com/playlist?list=PL193BC0532FE7B02C
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