haha, at 5:54 Professor Leonard talking about domain being similar to relationship baggage "it never goes away" - that really helped me remember domain issues. Thank you for making lectures fun, Professor!
Professor Leonard, this is a solid lecture on Finding Asymptotes of Rational Functions. Finding vertical and horizontal asymptotes of rational functions are very important in Calculus One. All students in Precalculus should fully understand this material before advancing to Calculus One and beyond.
11 หลายเดือนก่อน +7
Way to go math classes + arm pump motivation! 👊🏻🔥💯
Since you taught me about the shift along the x-axis I always viewed the value as dead weight and it helped me avoid mistakes on which way to shift. thanks for the help.
So why is this, along with a lot of College Algebra lessons, re-learned in Calc I during curve sketching? I'm just confused why you learn this stuff potentially a couple years before you get to Calc, where it's actually used. Most people don't even take College Algebra, but it seems these things are really important to learn. The only things here you don't see repeated in ch. 3 of Calc I are inflection points and concavity. Everything else is already covered in College Algebra.
I am confused about the last rational equation; shouldn't it be positive? I thought the graph will look like x approaches negative infinity from the left and positive infinity from the right). Why is the graph not the same as I thought?
I'm not sure about the Precalculus textbook but for Calculus I/II/III he used Thomas' Calculus (w/Late Transcendentals). Any edition would work. I used 14th ed and the topics were almost the same. Hopefully that helps!
I remember that he once said in one of his calculus videos that he likes 7 because it looks a little bit like a "y", and this made it easy for him to treat y as a constant when he calculated double integrals with respect to x, because he "saw" a 7 whenever he saw a y. It was something like that.
haha, at 5:54 Professor Leonard talking about domain being similar to relationship baggage "it never goes away" - that really helped me remember domain issues. Thank you for making lectures fun, Professor!
Professor Leonard, this is a solid lecture on Finding Asymptotes of Rational Functions. Finding vertical and horizontal asymptotes of rational functions are very important in Calculus One. All students in Precalculus should fully understand this material before advancing to Calculus One and beyond.
Way to go math classes + arm pump motivation! 👊🏻🔥💯
At 30:12 you can see Professor Leonard contemplating on whether to make the hole pun that he had on mind, or spare the masses
I'm gonna like every single video in this playlist! Thanks for everything Prof Leonard
Since you taught me about the shift along the x-axis I always viewed the value as dead weight and it helped me avoid mistakes on which way to shift. thanks for the help.
Thank you sooo much! It was very clear explained. We are all humans. Sometimes it's hard to believe, but you, Leo - you are a human too!
I literally can not tell how how much your videos hepls me in my math study....
Yes you can. You just did!
It is important to learn what rational functions are and finding vertical and horizontal asymptotes of them.
We get some PROBLEMS 😂
So why is this, along with a lot of College Algebra lessons, re-learned in Calc I during curve sketching? I'm just confused why you learn this stuff potentially a couple years before you get to Calc, where it's actually used. Most people don't even take College Algebra, but it seems these things are really important to learn. The only things here you don't see repeated in ch. 3 of Calc I are inflection points and concavity. Everything else is already covered in College Algebra.
always so helpful,
I am confused about the last rational equation; shouldn't it be positive? I thought the graph will look like x approaches negative infinity from the left and positive infinity from the right). Why is the graph not the same as I thought?
I love you and your numbers!
keep rockin
thank youuuu
The great person . Thank you.
From which book i can practice questions on asymptote
Great lectures but please add subtitles in old videos of calculus
Thanks you
I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOUUUUUUUUUUUUUUUUUUUUUUUUUUUU
Professor leonard not coming slow 🥰😍
2:49 "or this" \ / 😶
Sorry there are some V.A which do not obey the multiplicity Odd and Even rule ....why?
Very strange I get your notifications while I’m in class for the EXACT same subject matter. Wonder if this is the same or similar for everyone else
There is typically a logical order to the concepts in a lot of math courses.
your phone hears what you are learning about in class and recommends the appropriate video based on your watch history
@@lanabuchner6888 that's creepy
U r great ✨👍🏻
For fifty to eighty bucks a graphics calculator will draw a fairly clear idea of what the graph will look like!!
I can safely say I didint waste time during quarantine
thank you
Professor, please recommend a textbook or book where should I practice question for Precalculus & Calculus I.
I'm not sure about the Precalculus textbook but for Calculus I/II/III he used Thomas' Calculus (w/Late Transcendentals). Any edition would work. I used 14th ed and the topics were almost the same.
Hopefully that helps!
James Stewart Precalculus, good one
30:15 Did anyone else catch that? LOL
3 dislikes from people who hate the Prof's dance moves
his dance movies are rad !!
Starting to believe Leonards fav number is 7
I remember that he once said in one of his calculus videos that he likes 7 because it looks a little bit like a "y", and this made it easy for him to treat y as a constant when he calculated double integrals with respect to x, because he "saw" a 7 whenever he saw a y.
It was something like that.
❤ Proffessor you are always in my prayers (duas). The second i have 5000 British pounds to spare, ill give you 1000 pounds to your patreon
✌
If someone hasn't watched star wars they shouldn't be learning math. Its a right of passage XD
Thank you
Thank you