Multiplicity and End Behavior of Polynomials (Precalculus - College Algebra 29)

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  • Опубликовано: 27 окт 2024

Комментарии • 91

  • @PowerhouseCell
    @PowerhouseCell 4 года назад +216

    *Can we all take a moment to appreciate how much work Professor Leonard puts to give us free learning resources? Great video! :D*

    • @fisikalectures597
      @fisikalectures597 4 года назад +8

      absolutely, he's gotten me through the first half of my degree

    • @19CD91
      @19CD91 4 года назад +4

      And still has time to be absolutely jacked.

    • @rmw6151
      @rmw6151 4 года назад +1

      Why don't you support him on Patreon? 1 dollar a month isn't much!

    • @Peter_1986
      @Peter_1986 4 года назад +5

      @@19CD91 His workouts actually kind of indirectly help with these videos as well, because a healthy lifestyle makes it easier to think clearly, which will also keep Professor Leonard as mentally sharp as possible.

    • @nadiasultan7893
      @nadiasultan7893 2 года назад +1

      Professor Leonard is one of my best teachers I ever have come across in mathematics!!!
      Simplu a legend !!

  • @Thonck-
    @Thonck- 4 года назад +46

    Damn bro, this dude's jacked as hell AND helping me with math. A true chad.

  • @ladyblue701
    @ladyblue701 2 года назад +10

    Currently taking college algebra and professor Leonard videos has helped me tremendously. May god continue to bless him for his kindness in helping us understand functions and it’s concepts

  • @suchitbandaram5390
    @suchitbandaram5390 4 года назад +5

    Im not even in this class I was watching your calc 3 content because my professor doesnt teach but your content singlehandedly changed my understanding of the content. I dont know how to thank you enough!

  • @basherrajab489
    @basherrajab489 4 года назад +5

    Please just don't stop what you are doing
    you are the best
    Thank you professor

  • @Dextermxck
    @Dextermxck 9 месяцев назад

    This man who doesn't know I exist is single handedly helping me understand math in my goal to becoming a doctor. Thank you prof!

  • @hamokamarzari1681
    @hamokamarzari1681 4 года назад +15

    You’re an amazing professor and a human being we love you ♥️

  • @thenkaliway85
    @thenkaliway85 4 года назад +10

    Wow for the first time in 4 years, I am first to view a video in here❤️❤️❤️ So much love for you Proff. My first salary am sharing with you...It's our degree afterall, because I didn't do it alone. You were with me throughout ❤️❤️❤️❤️❤️

    • @HaleyMac912
      @HaleyMac912 4 месяца назад

      awww I love that for y'all :). Same, same here and I showed up much later

  • @mohammodislam7174
    @mohammodislam7174 4 года назад +14

    Professor I would LOVE to see you make a video on your WORK OUT ROUTINE!!!!! TY

  • @HritikJain
    @HritikJain 4 года назад +4

    Never have I ever seen a professor like you, who shows soo much passion towards mathematics ❤️

  • @playitback-os7mh
    @playitback-os7mh 4 года назад +7

    We need a fan meeting in a big enough lecture room where he teaches us. there would be such an cool atmosphere. All the people he helped and the helper itself

    • @madebyyuzz
      @madebyyuzz 7 месяцев назад

      I'd fly outta state for that!

  • @InvictusDominus
    @InvictusDominus 4 года назад +2

    Already passed Precalc but just wanted to send a huge thank you to Professor Leonard. Trying to learn all the math for artificial intelligence concentration in computer science. and he is a tremendous resource to have.

    • @InvictusDominus
      @InvictusDominus 3 года назад

      @xxyyzz So pretty much what I am planning on is this Math: College Algebra/Precalc, Calc 1, Calc 2, Probability Theory, Mathematical Statistics, Linear Algebra and Calc 3. On the programming side Python, SQL.
      I have half of these down at the moment. But yeah its a lot man. Udemy has some great courses on Python and SQL for like 15 bucks depending on their sales.

    • @InvictusDominus
      @InvictusDominus 3 года назад

      @xxyyzz Yeah stick with Leonard for all the Calc stuff. I think he has videos through Calc 3. I haven't watched any of his Statistics videos so IDK if they are classified as math stat. Also Ilectureonline is pretty good for Physics and science based courses.

  • @pragyadhungana6984
    @pragyadhungana6984 4 года назад +11

    your videos are phenomenal and you describe everything meticulously. really helps to revise and revisit fundamental concepts. just wondering if you could make videos on advanced linear algebra. if somehow you happen to have the time and energy please do consider my request. There aren't many people out there who really care about students. I am really grateful to have stumbled upon your RUclips channel.

  • @aqeel77za
    @aqeel77za 4 года назад +1

    Dear Prof Leonard. I would like to thank you for all the efforts you have made to make all the contents available to us who are in need of extra assistance. With your videos I have passed my engineering Mathematics (Calculus) level 1 & 2. It may have taken bit longer than I wanted it too but it happened. Lol.
    You are really amazing, briliant lecturer. Really wish all lecturers present and approach mathematicsvthe way you do. All the best.

  • @ChaoteLab
    @ChaoteLab Год назад

    Your subscription count is missing a few digits. Thank you for your time, effort, and expertise. Im 52 on Friday and am FINALLY getting around to Calculus. Your vids are a primary piece of my curriculum.

  • @isobar5857
    @isobar5857 4 года назад +1

    Professor Leonard...the greatest maths teacher ever to grace the internet.

    • @cw4933
      @cw4933 3 года назад +1

      I’m pretty sure he’s the greatest to grace the earth

  • @HaleyMac912
    @HaleyMac912 4 месяца назад

    If you need to smile for a minutes go to 34.45 and watch at 1.5 speed lol. It's funny and silly lol. I watch at 1.5 speed because I need refreshing on almost everything because it's been so long since high school; even then, I only made it through to Algebra 2. I'm an "online only" college student and haven't taken any math since I withdrew at the end of my sophomore year in high school (21 years ago, OMG). I truly don't know what I would have done if it wasn't for Prof Leonard's videos. I'm so glad I found his lecture videos. I would cry if I got a second B, my 3.9 bothers me enough as it is. These lectures have helped me stay on top of the information I have to know and know well. My intermediate algebra teacher doesn't actually teach ( just the textbook with online examples/assignments in Aleks). It's so frustrating to pay for a course that my school isn't willing to actually have a teacher teach (shout out Oklahoma A&M, please do better for your online students). Anyways, thank you Professor Leonard for being the professor I don't have; I only wish you (or I for that matter) could get paid for teaching my way through the course and for the foil...oil...oil....oil at 34.45 :)

  • @engineeringone6656
    @engineeringone6656 4 года назад +3

    Thank you professor Leonard, you're helping me out so much

  • @georgesadler7830
    @georgesadler7830 2 года назад

    Professor Leonard, thank you for another excellent lecture/video on the Multiplicity and the End Behavior of Polynomials/Power Functions. These are powerful tools for analyzing polynomials and their graphs.

  • @WhiteChocolate444
    @WhiteChocolate444 2 года назад

    That was a rollercoaster of knowledge! Thank you Professor Leonard!

  • @muhammadrafidhossain7414
    @muhammadrafidhossain7414 Год назад

    Thanks a ton sir. I am an undergrad first semester computer science student watching from Bangladesh. Your lectures are really helpful. ❤️❤️❤️

  • @somasahu1234
    @somasahu1234 3 года назад +2

    Awsm feeling after getting to know 'WHY?'

  • @mickeyp6639
    @mickeyp6639 Год назад

    Damn apparently graphs are about to get wild in calc because I find even these smooth graphs with turning points to be very interesting
    Thanks prof!

  • @shrirooproychoudhury3658
    @shrirooproychoudhury3658 4 года назад

    The best prof on this planet

  • @HishamAlFoqaha
    @HishamAlFoqaha 4 года назад +2

    Dear professor Leonard, We want you to make more videos on statistics, please

  • @naomiwebb3268
    @naomiwebb3268 4 года назад

    Best math professor ever, hands down

  •  10 месяцев назад

    Awesome explanation! Thanks for the upload.

  • @spacewolfjr
    @spacewolfjr 4 года назад +3

    I love you Uncle Muscles

  • @Jay-by8nx
    @Jay-by8nx 4 года назад

    Wonderful concept and ur teaco style amezing sir . Thank you so much sir

  • @moviemax9619
    @moviemax9619 3 года назад +1

    M=Muscle(squared)

  • @theaveragemegaguy
    @theaveragemegaguy 4 года назад +1

    I love you so much more than anything ever just saying you are my hero

  • @dcwstl
    @dcwstl Год назад

    I need that Wheel of Time shirt! 😯

  • @AronMercer14
    @AronMercer14 9 месяцев назад

    Grateful for this channel! lol

  • @shahdmansour9434
    @shahdmansour9434 4 года назад

    you are amazing wish i could found you before

  • @salimibrahim459
    @salimibrahim459 4 года назад +5

    Would you be able to do a course in Partial differential equations?

  • @yunusalam1970
    @yunusalam1970 4 года назад

    professor has big guns

  • @GeorgiosMichalopoulos
    @GeorgiosMichalopoulos 3 года назад

    many thanks!!

  • @rafiihsanalfathin9479
    @rafiihsanalfathin9479 4 года назад +3

    Can you continue diff eq sir?

  • @Dani-ud6gt
    @Dani-ud6gt 4 года назад +2

    welcome prof, please continue diff calculus

  • @berniberlusconi6915
    @berniberlusconi6915 4 года назад +1

    The best

  • @shahdmansour9434
    @shahdmansour9434 4 года назад

    you made love math cant thannk you enogh

  • @juliotzocjr40
    @juliotzocjr40 4 года назад +1

    Where’s the trig section?

  • @connorwilson5662
    @connorwilson5662 4 года назад +4

    Your paper will literally explode in your face... it’ll go “noooooo PFFFFF” that’s what happens when you don’t carry your signs.

  • @orca_ah
    @orca_ah 4 года назад

    Just an idea here. What if prof. Leonard had some helpers (same extremely awesome and interesting people with passion for teaching math) who would also cover more topics on math, so that all of the math could be covered? And prof won't have to do so much work just by himself

  • @zc7504
    @zc7504 4 года назад

    prof Leonard could you also make videos about working out?

  • @skylardalesandro8859
    @skylardalesandro8859 3 года назад +1

    Damn, I didn't know Clark Kent taught pre-calc!

  • @pankaj3148
    @pankaj3148 4 года назад +1

    Hi , can you make videos on multinomial theorem....

  • @ElNietoPR
    @ElNietoPR 4 года назад +4

    Professor Leonard, can you choke out 2020? Thanks for your amazing videos!

  • @feezy243
    @feezy243 4 года назад

    Hello Professor Leonard,
    Do you have any lectures on finding work? I’m currently on a chapter about finding work and it’s confusing for me. Thanks!

  • @maximoleon5295
    @maximoleon5295 Год назад

    great

  • @atulasyper8872
    @atulasyper8872 4 года назад

    Hello professor Leonard, I hope you are doing great! I just wondering any chance you teach Linear Algebra? I'm currently taking that class right now but it is online and my professor isn't the best and I'm just really confuse. If you can make a linear algebra course that would be amazing!

  • @kemalware4912
    @kemalware4912 Год назад

    king

  • @whitebeardpirates7551
    @whitebeardpirates7551 3 года назад

    G . O . A . T ♥♥

  • @Squash101
    @Squash101 2 года назад

    16:40 key

  • @ChiefenLind1793
    @ChiefenLind1793 4 года назад +1

    Wow man, i am dude but i have to confess that you look amazing and also very smart, where have you been all my life? (jokes) thanks for learning us all this, if i had you as teacther, maybe i would like math today!: ) Greetings from Sweden,with love.

  • @NoName-cm9tx
    @NoName-cm9tx 4 года назад +1

    How much more is left for this playlist to complete? Does anyone have any idea.

    • @veryhealthy9962
      @veryhealthy9962 3 года назад +1

      Im also kinda worried about the potential length for precalc. He has yet to start trig. while seq and series are EXTREMELY important for statistics (AFAIK) so he cant rush the most recent ones.
      Trig on its own is almost an entire topic due to how much its required for calc.

    • @eobardrush2112
      @eobardrush2112 3 года назад +2

      @@veryhealthy9962 1 year give or take, but its good, because a detailed precalc course like this can help so much people in the future who plan on doing calculus.

  • @allthumbguitar7531
    @allthumbguitar7531 Год назад

    Is that a wheel of time shirt

  • @-Mohamed_bayan
    @-Mohamed_bayan 4 года назад

    Hello , in which university do you work?

  • @xiongfengliao187
    @xiongfengliao187 4 года назад

    wow ! wow !

  • @abhaychauhan1774
    @abhaychauhan1774 4 года назад +1

    You are √1+tan²(C)
    ;-) professor

  • @sib7024
    @sib7024 4 года назад

    whom are the intended students who can watch these videos?

  • @mikefromflorida8357
    @mikefromflorida8357 3 года назад

    Great videos. Using a lapel microphone would sure make things better and get rid of the constant echo. Thank you.

  • @dongiovanni8899
    @dongiovanni8899 10 месяцев назад

    wear singlet

  • @코스모스-c2r
    @코스모스-c2r 4 года назад

    반갑습니다

  • @JuanPabloMartinez-b8m
    @JuanPabloMartinez-b8m 5 месяцев назад

    It'll going to help a lot later on. Uaaaa

  • @allyson4826
    @allyson4826 4 года назад

    Professor Leonard will you please set up an account on Cameo?? Lol

  • @mahdian11
    @mahdian11 4 года назад +2

    Unfortunately scientific videos got under-rated 💔

  • @miemavincent4875
    @miemavincent4875 3 года назад

    BILL

  • @TheSpasmer
    @TheSpasmer 4 года назад +1

    unless you start with trigonometry soon, I might just give up on you

  • @kevinzhou9598
    @kevinzhou9598 2 года назад +1

    Professor Leonard has got to stop showing his arms. IM GETTING TOO DISTRACTED

  • @RAJSINGH-of9iy
    @RAJSINGH-of9iy 4 года назад

    I love you professor❤
    P.s. - I am not a gay.😂

  • @theaveragemegaguy
    @theaveragemegaguy 4 года назад

    I love you so much more than anything ever just saying you are my hero