Support: / professorleonard Professor Leonard Merch: professor-leon... What one-to-one functions are, how to determine one-to-one-ness, and why they are important to inverse functions
Пікірлер: 47
@AyyyGEEZER3 жыл бұрын
I just wanna say thank you, Professor Leonard. I am currently learning from your videos about continuous random variables and normal distribution (8 years ago) and I came to this video to see how your older videos compare to your new ones. The fact that you are still able to engage your audience with optimism while explaining the topic in a clear and understandable way is truly impressive and should not go unnoticed, especially during this time when you may not be teaching in a physical classroom with students that you can directly interact with. Keep doing the amazing job that you are. Millions of students around the world appreciate you.
@acentasecond37213 жыл бұрын
agreed!
@myles51583 жыл бұрын
For real this guy has helped me tremendously.
@havaneseday2 ай бұрын
Finding your channel has given me a wealth of knowledge. Ill be going back to school in 2 months at the age of 36! I've been studying up, while still working full time at my current job. | Pretty much started from Grade 9 algebra and up. Currently half way through a Coursera Pre-calculus course I purchased at the start of last year. I am running into some problems that require extra attention and readings but they don't offer an additional resources. After a quick YT search, I stumbled upon your channel and I'm blown away. This is exactly what I was looking for! Thank you for taking all this time and effort into putting these videos together. It has been so very helpful. You rock Professor Leonard!!
@TheRomanAugust3 жыл бұрын
Workout regimen video next
@brandonestrada34873 жыл бұрын
I cant wait until this gose viral and thousands of girls get the hots for this guy
@Heavenlight1003 жыл бұрын
Thank you for all your work Prof. Leonard. As a fan of your channel I cannot wait until this precalculus series is completed. I think it will be one of your best series so far. You have already 50 high quality videos and not even started with geometry. After this series and dif. equations I hope that I can also enjoy a new series on the topic of linear algebra. Keep it up, I continue supporting you on patreon. PS: Best thing to do is learning from you while covid, instead of watching too much useless youtube or netflix.
@acentasecond37213 жыл бұрын
really good video on one to one functions, something i struggled with early on in my studies!
@michaeljjan63443 жыл бұрын
I'm pretty sure that 007 is James ID number, you have to change that part.
@Mark-vl3zm3 жыл бұрын
I can't wait until you get into trigonometric identities, addition and subtraction formulas, double angle, half angle, etc. I always struggled the most with proving/verifying identities. I never know which side to work on or how to effectively and efficiently tackle those problems.. Edit: Thank you for all the videos they have really helped me with my Pre-Calculus class so far!!
@acentasecond37213 жыл бұрын
sameeee
@rosepierce9382 Жыл бұрын
1:06 Unfortunately, Clark Kent exists.
@elissar2004 Жыл бұрын
His videos are PERFECT!!!
@BertrandEkong Жыл бұрын
this is incredible
@emmalove1732 Жыл бұрын
Thank you professor Leonard. I am learning alot from your teaching
@aditi_053 жыл бұрын
Thank you for this! It helps!
@Aminhelal2103 жыл бұрын
You are great professor Leonard, you helped me a lot with functions thanks a lot
@SilentEagle20292 жыл бұрын
Almost halfway through the series on my way to calc 1, then 2, then 3! Hopefully you start linear algebra by the time I'm finished with calc 3 (^-^)
@somasahu12343 жыл бұрын
There are 2 dislikes, they were identical twins !
@Herlongian2 жыл бұрын
A horizontal line is the is the best way to show different x values can have the same y output and be a function. Nothing passes the vertical line test better than a horizontal line. BTW-x axis is y=0.
@yasmineyasmine80592 жыл бұрын
Thank you very much, you helped me a lot!
@wanjirubancroft22632 жыл бұрын
Thank you so so much .
@patty_d.477310 ай бұрын
Thank you!
@Peter_19862 жыл бұрын
Is it correct to say that a one-to-one function always has a positive or negative derivative?
@geniusyadav87256 ай бұрын
thank you Henry cavill for helping me with my maths homework
@agrimvashisht14664 ай бұрын
That's exactly what I was thinking 🤣🤣
@TheYinyangman Жыл бұрын
I can't be sure but this seems like it is done for comp sci students who have to take calc for the core
@fridahndumba8355 Жыл бұрын
Fantastic
@Herlongian2 жыл бұрын
So perhaps instead of an inverse, non one-to-one functions have a mirror image?
@ricardocorrea93982 жыл бұрын
Should have made the employee with the ID 007 to James.
@kendalladams59752 жыл бұрын
Who paid you to say Ty was 007? Lol
@ginamartin718 Жыл бұрын
you're, not your:)
@TheSpasmer3 жыл бұрын
Everyone's waiting for trigonometry. Stop with this stuff professor
@Sherv3183 жыл бұрын
have some respect. He's uploading all this for free.
@seikomyazawa3 жыл бұрын
so you know what's on eveyone's mind?
@mikiashaile72503 жыл бұрын
Keep it professor just upload every math problems
@myles51583 жыл бұрын
Stop with this stuff? Are you seriously joking? I hope to God you are because you sound very entitled.
@hamzasehavdic Жыл бұрын
You're gross. He is painting a holistic, robust playlist for people not only understand Trig, but master its foundations, if you wanted immediate trig, people like you go elsewhere
@emmalove1732 Жыл бұрын
Thank you professor Leonard. I am learning alot from your teaching
@ProfessorLeonard Жыл бұрын
You are very welcome, I'm glad to hear it :)
@Tirthankar172 жыл бұрын
50 videos into this playlist and I really want to thank you from the bottom of my heart prof Leonard. I am learning so much because of you. Thank you so much
@legendarynoob67323 жыл бұрын
*Taking my attendance*
@georgesadler78302 жыл бұрын
Professor Leonard, thank you for another awesome video/lecture on One-To-One Functions. The horizontal line test really shows if a function is one-to-one or not.
@dragmahk2 ай бұрын
You deserve a nobel prize in education
@ginamartin718 Жыл бұрын
Thank you ProfLeonard. I have had such a hard time with algebra due to not having practical examples to make it click in my brain. I have to see points a-b. Your explanation separates you as a true teacher from a person whom has the degree to teach only because they know the steps but do not know how to explain the practical interpretation/reasoning (teach) not realizing that those they have the responsibility to teach may not have the gifted learning knowledge in mathematics.
@ginamartin718 Жыл бұрын
I hope you realize your true teaching abilities. No joke, one out of too many whom do not.