First semester of Mech Engineering, a professor gave us a task to solve an equation to find the ideal chord length for an airplane wing. He didn't tell us the equation was unsolvable via elementary functions, essentially the point was having students crack heads at it until figuring out they couldn't solve it analytically and needed to use some numerical method, a valuable lesson going into engineering. Instead I did some research online and found the Lambert W function and managed to solve the equation with it. I'm not sure if he was impressed or mad that I avoided the main point of the exercise, but I did get a 10.
There are some teachers that show you how smart they are. And there are teachers the teach you how to solve. You are the perfect example the latter one.
You are cool. My dad was a math and science teacher for over 40 years (a great benefit for me). He instilled in me a love of math. I'm glad I found your channel. It's time to reclaim my lost working years now that I'm retired.
I'm a Principal Scientist in mathematics and theoretical computer science (mainly) and still enjoy your videos. I'm not a teacher (unless you count the odd PhD), so I really admire your skill at teaching, which is something I don't really have. My wife is giggling, teasing me about - erhem - watching another guy solving him some sexy little equation. 😊
Sir, you are really an amazing and exciting teacher. You also speak very clear making it understandable for those who are not native in English like me. All I want to say is that I hope I had only one teacher like you during my 30 years of education. Keep going and good luck.
Great job for an introduction to the Lambert W function. It is important to point out though, that unlike logs, the Lambert W function is multi-valued between [-1/e, 0). Therefore, you have to be careful when using it.
Finally a clear explanation of how a mixed linear and exponential equation is solved algebraically in exact form with a special function I had not heard of before.
I have to say that I have tried to watch several videos on this topic from prominent YouTubers. You are the only one that actually managed to explain it to me. Thanks for a great video.