I'm 15 and watching 75 year old people study calculus really motivated me. 🙏
Thank you for this Dr. Ji. I am just beginning precalculus at age 74, and this clear teaching is just what i delight in.
The three pillars of Calculus, are Algebra, Trigonometry and Geometry. My advice is make sure your skills in each of these areas are ready for calc.
If anyone reads this i highly recommend watching this twice: before and 2-4 weeks into calculus. I’m taking calculus right now and this helps connect of uncertainties for me. Ty.
Correction - At 22:35 of the video the exponent of 1/2 should be negative once we moved it up!
After taking Calc, I'd suggest adding more trig stuff. Knowing your unit circle and its points and actually understanding how trig functions are related to each other is really important. Right after that would be a lot of the algebraic manipulation covered here.
I had a brain injury and am just restarting math after practicing law 30 years and having had a strong math background going into college 40 years. Dr Ji you are an excellent teacher. I’ve watched countless videos to try to reteach myself on the transition to calculus so I can try to master it with my rewired brain. You are superb. Thank you!
I don"t know why my math teachers did not explain things like you do. You are a good teacher, Dr. Ji!
For those that care, there is an error at 22:36. The 1/2 exponent should be negative, -1/2, once the fraction has been inverted.
My life would have gone in a very different direction if I had had learning resources like this in high school and college.
Needed a refresher and this is by far one of the best explanations of most of the recurring concepts in calculus! Other videos just weren't as intuitive and I'm surprised this isn't more popular in the search results. You have a great sense for what needs to be explained right away, and what someone will learn through practice.
Okay. He has gift. He can teach without inflicting pain. Haven't looked at this stuff for 40 yes and answered questions I didn't even know I had. Good job
This is the most simple, quick, to the point, informative video I have ever come across for calculus. I would LOVE if you made a Calc B, C, and D versions of these kinds of videos. Subscribed!!!
Something I decided to try to see if it worked, was to "sound out" or phrase a function or an equation that is unfamiliar, like reading a sentence. This was to aid in both making sense of the function and to remember it. It does help in learning.
I hope you continue teaching math! The way you explain certainly beats the bigger channels out there.
I attempted calculus in University many years ago and I have never to my knowledge heard a more simple explanation of what F(x) means. thank-you so much.
This is great - I've spent weeks and weeks watching pre-cal videos to prep for college and in these 25 minutes I've grasp these concepts better than I've been able to since.
EXCUSE ME. I just grasped everything you taught me in this 23 minute video way more easily than I did in an entire semester of precalc my freshman year during covid! I'm in my final year and getting ready to take an accelerated calc 1 course that isn't required for my undergrad degree (but highly recommended for grad school) and I think I've come to the right place!
This was so helpful as a refresher before uni. I’ve always found maths hard because teachers over complicated things and didn’t properly explain their relationships to one another. This cleared up so many concepts I’ve been stuck on, thank you!
@drjitutoring