Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula

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  • เผยแพร่เมื่อ 15 ก.ย. 2024
  • / professorleonard
    Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula

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  • @dadasut50
    @dadasut50 7 ปีที่แล้ว +3191

    in my religion they say when a man dies he has only three things left to be remembered by :
    1) his good deeds .
    2) a well raised child
    3) the knowledge he left that continues to help others
    and you sir will live forever for every one you taught .thanks to you i have almost finished my engineering degree and no one ever taught me mathematics like you did .everything i will ever achieve in my life is because of you

    • @Salehalanazi-7
      @Salehalanazi-7 6 ปีที่แล้ว +12

      ahmed ibrahim KFUPM?

    • @suhassamdeshi5691
      @suhassamdeshi5691 6 ปีที่แล้ว +77

      u better get down there and meet him in person to show ur gratitude and he will definitely be touched by that! we rarely have good teachers nowadays.

    • @mr818toom
      @mr818toom 6 ปีที่แล้ว +13

      what is your religion

    • @imtjrao
      @imtjrao 6 ปีที่แล้ว +130

      I believe he meant not to directly sound like a preacher but as a Muslim I believe it is Islam. The exact quote (translated into English) by Muhammad SAW is "When a man dies, his acts come to an end, but three, recurring charity, or knowledge (by which people) benefit, or a pious son, who prays for him (for the deceased)". In another source it is "When a man dies, his deeds come to an end, except for three: A continuous charity, knowledge by which people derive benefit, pious son who prays for him." Thanks.

    • @imtjrao
      @imtjrao 6 ปีที่แล้ว +9

      Where is this gentleman working? I would thank him personally too.

  • @EagleLogic
    @EagleLogic 7 ปีที่แล้ว +4332

    Not everyday you see a jacked calculus professor

    • @paulmaybery7340
      @paulmaybery7340 5 ปีที่แล้ว +8

      EagleLogic w6

    • @josephvanderhoven9967
      @josephvanderhoven9967 5 ปีที่แล้ว +82

      You beat me to the punch by two years.

    • @RustlessPotato
      @RustlessPotato 5 ปีที่แล้ว +16

      @Just-Passing-Through 11 you beat me by 3 weeks

    • @BangMaster96
      @BangMaster96 5 ปีที่แล้ว +10

      @@RustlessPotato You beat me by being born

    • @clintwestwood4545
      @clintwestwood4545 4 ปีที่แล้ว +49

      @@BangMaster96 my dad beat me as soon as i was born

  • @Liam_theX
    @Liam_theX ปีที่แล้ว +451

    Bro, the fact that this video is 11 years old and yet I’m still watching it for help in calculus truly shows how helpful this man is and what a good, easy to understand teacher he is! Thank you so much Professor Leonard!

    • @Hymandois
      @Hymandois 10 หลายเดือนก่อน +2

      I know exactly what you mean

    • @CastledMallard
      @CastledMallard 8 หลายเดือนก่อน +3

      big facts! taking calc rn and i would have died without this man. he is a blessing from God!

    • @tribalpanda-ik7sp
      @tribalpanda-ik7sp 5 หลายเดือนก่อน

      I have my calculus cat in two days time😂and truth be told he is really helping me out

    • @chiensyang
      @chiensyang 4 หลายเดือนก่อน +1

      I just show these videos to my AP calculus students while I watch Netflix on my laptop. Therefore, the school winds up just paying me to give and grade homeworks, tests and finals. 🤫🤫🤫

    • @pugsley201
      @pugsley201 3 หลายเดือนก่อน

      Math…math never changes

  • @cristhiangarcia5991
    @cristhiangarcia5991 3 ปีที่แล้ว +135

    As a 35-year-old going back to school, I want to thank you from the bottom of my heart.

    • @irvlazaro7302
      @irvlazaro7302 2 ปีที่แล้ว +24

      35 isn't old, when your 50, you will look back and say damn good thing I started at 35.

    • @brandonclay6572
      @brandonclay6572 3 หลายเดือนก่อน +3

      Yup. 48 here…

    • @actj700
      @actj700 28 วันที่ผ่านมา +1

      I just turned 35 and starting my second Bachelors. I thought I was the only one!

  • @forrestkennedy5458
    @forrestkennedy5458 3 ปีที่แล้ว +381

    To everyone just starting their epic journey with prof Leonard:
    You are making a great decision by watching these videos. I started my journey with calculus almost 3 years ago, and prof. leonard's videos are beyond wonderful. I just received my final in calculus 3, and I got an A!
    When I started this series, I didn't know if I could do it, but Prof. Leonard proved to me that I could not only pass calculus but thrive in calculus. Now, I am just finishing up my freshman year of college having received Ain all three calculus classes and am pursuing my dream of becoming a physicist, and I have never been more confident in my life.
    If I can do it, so can you. Professor Leonard and I believe in you!

    • @shetheyithe8894
      @shetheyithe8894 ปีที่แล้ว +2

      Either am I can do and understand it.
      I hope I make right decision,

    • @deananderson7714
      @deananderson7714 ปีที่แล้ว +6

      How’s college going?

    • @baltai3123
      @baltai3123 2 หลายเดือนก่อน

      Thx mate. I hope, I can come back and write a comment like you

    • @Tmacculate-zi2so
      @Tmacculate-zi2so 2 หลายเดือนก่อน +1

      Best of Luck to you buddy. Use your knowledge for Good. Be Mindful of who you are working for, and not just the work you are doing. The race for Quantum computing is on, and with it's introduction, there will come enormous power, arguable unprecedented, and more than the world has ever seen enter the world through one invention. Remember, Just because you can, doesn't always mean you should. Know who you are working for, understand their vision and intentions, and God speed in whatever venture you take in the realm of physics.

    • @kronoxodusktc4011
      @kronoxodusktc4011 4 วันที่ผ่านมา

      @@Tmacculate-zi2so what is bro yapping about?!

  • @plopsan
    @plopsan 2 หลายเดือนก่อน +18

    Im gonna try for the second time (and last time, I only get two tries) to pass Calculus 1 next year, I failed the first time so wish me luck guys.
    This major is important to me, because it’s my life challenge, my “I can do it as well” moment, especially as someone who’s been struggling with math, dyslexia and attention my whole life.
    I’ve unfortunately always been one of the worst ones in math, and been extremely slow as well, when my friends finished an exercise, I was always three exercises behind...
    Even if I don’t pass, I want to thank Professor Leonard because thanks to you, I’ve understood key concepts that I would’ve never understood otherwise.

    • @Helly04
      @Helly04 2 หลายเดือนก่อน +4

      First of all, I wish you good luck for your math journey. All the best. You can . I will pray for you. ❤ Good luck man. At least you are trying. Keep trying and be consistent.
      Well my story is the same as yours .
      I am very weak at maths 😢😢 and l m just wandering here don't know why l want to learn but my basics are too poor. Anyhow trying to gather the strength to start and prove myself.😢❤

    • @plopsan
      @plopsan 2 หลายเดือนก่อน

      @@Helly04 Thanks man, I bet you can do it as well!!
      I've been watching the full 110 pre calculus videos from the Prof. Leonard and taking a ton of notes, if you have the time for it I would rly recommend you do the same because I'm finding it very useful to strengthen the basics.
      My objective is to watch the following videos from the professor: 120 videos of pre calculus, 30 videos of calc 1 and start the calc 2 videos before starting my semester in September (so in 2 months).

    • @Otatoes
      @Otatoes หลายเดือนก่อน +1

      How's ur prep going?

    • @plopsan
      @plopsan หลายเดือนก่อน

      Slow. My objective was to make the best notes possible, so I wouldn't lose time during the semester.
      I produced 20 pages of very high quality notes, but I had not anticipated that it would take so long. Mostly, I try my best to understand the subject first, and then put it in words that I think will make me understand the subject right away when reading it. It takes me around 4-5x the length of a video to have good notes on it.
      It's extremely time consuming. I also often went back to previous notes to repage them, add or move content when reading them again and realizing they could be improved.
      Another thing I had not anticipated is how busy I would be even by having all my days free, because I ended up doing many things I didn't have the time to do during the year.
      I go to the gym most of the days of the week and that takes me around 2-3h per day because it's far away. And on top of that I'm on vacation for 2.5 weeks and can't work on my maths.
      I'm didn't give up, but I have my doubts on wherever that will be enough, but regardless I'll keep working on my notes during the semester as well.

  • @MandyDrex
    @MandyDrex 8 ปีที่แล้ว +663

    I don't know if you still check comments but I wanted to thank you for all of your videos. Since finding your channel my son's entire Calc. 3 class are watching your videos, I'm using your Calc 1 videos, and my 11 year old daughter watches your Algebra videos. I wish more math teachers taught with your enthusiasm and humor. Thank you so much for making these videos available to all!

    • @ProfessorLeonard
      @ProfessorLeonard  8 ปีที่แล้ว +258

      You're very welcome!! That's what its for :)

    • @shetheyithe8894
      @shetheyithe8894 ปีที่แล้ว +3

      @@ProfessorLeonard Thanks you so much. Now I can understand all of those lectures that you've showed me
      In almost 50 mins. You was just teaching about 2 subject problems of math.
      Find 2 coordinators of (x1,x2) and (y1,y2)
      And second one is about (x1,y1) and an equation of the graph.
      Your videos are very helpful for me.
      You're explanations are very comfortable to me. It helped my brain can easily to collect it in the simply way.

  • @josha4969
    @josha4969 4 ปีที่แล้ว +819

    COMPLETE CALC 1 with 13-Day Guide. (4-8 hours a day)
    Day One
    0.1 - 50 min (Lines, Angle of Inclination, and the Distance Formula)
    0.2 - 1 hr 40 min (Calculus 1 Lecture 0.2: Introduction to Functions)
    0.3 - 1 hr 20 min (Review of Trigonometry and Graphing Trigonometric Functions)
    0.4 - 16 min (Combining and Composition of Functions)
    Day Two
    1.1 - 1 hr 30 min (An Introduction to Limits)
    1.2 - 3 hr (Properties of Limits. Techniques of Limit Computation)
    Day Three
    1.4 - 1 hr 30 min (Continuity of Functions)
    1.5 - 1 hr (Slope of a Curve, Velocity, and Rates of Change)
    Day Four
    2.1 - 1hr 16 min (Introduction to the Derivative of a Function)
    2.2 - 1hr 12 min (Techniques of Differentiation (Finding Derivatives of Functions Easily))
    2.3 - 1hr (The Product and Quotient Rules for Derivatives of Functions)
    Day Five
    2.4 - 40 min (Applications of the Derivative)
    2.5 - 50 min (Finding Derivatives of Trigonometric Functions)
    2.6 - 1hr 35 min (Discussion of the Chain Rule for Derivatives of Functions)
    Day Six
    2.7 - 1 hr 10 min (Implicit Differentiation)
    2.8 - 55 min (Related Rates)
    3.1 - 1hr 35 min (Increasing/Decreasing and Concavity of Functions)
    Day Seven
    3.2 - 7 min (A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.)
    3.3 - 26 min (The First Derivative Test for Increasing and Decreasing)
    3.4 - 37 min (The Second Derivative Test for Concavity of Functions)
    Day Eight
    3.5 - 1hr 24 min (Limits of Functions at Infinity)
    3.6 - 1hr 33 min (How to Sketch Graphs of Functions)
    3.7 - 1hr 35 min (Optimization; Max/Min Application Problems)
    Day Nine
    4.1 - 2hr 45 min (An Introduction to the Indefinite Integral)
    4.2 - 1hr 34 min (Integration by Substitution)
    Day Ten
    4.3 - 2hr 10 min (Area Under a Curve, Limit Approach, Riemann Sums)
    4.4 - 30 min (The Evaluation of Definite Integrals)
    Day Eleven
    4.5 - 2 hr 45 min (The Fundamental Theorem of Calculus)
    5.1 - 1hr 34 min (Finding Area Between Two Curves)
    Day Twelve
    5.2 - 2hr 50 min (Volume of Solids By Disks and Washers Method)
    Day Thirteen
    5.3 - 55 min (Volume of Solids By Cylindrical Shells Method)
    5.4 - 2hr 20 min (Finding the Length of a Curve on a Plane)

    • @shayanali8771
      @shayanali8771 4 ปีที่แล้ว +10

      Thank you so much

    • @TemplarX2001
      @TemplarX2001 3 ปีที่แล้ว +8

      Legend

    • @urmemlel8721
      @urmemlel8721 3 ปีที่แล้ว +5

      I love you bro

    • @spartacusche
      @spartacusche 3 ปีที่แล้ว +3

      you did not do the exercises? or problem set?

    • @josha4969
      @josha4969 3 ปีที่แล้ว +46

      @@spartacusche Recommended time is 4-8 hours a day, the lecture videos are only 3-4 hours long, the rest of the time would be practice problems. Good luck!

  • @shaunmike
    @shaunmike 9 ปีที่แล้ว +601

    Inspiring me to relearn calculus and exercise, bravo.

    • @getodog5894
      @getodog5894 ปีที่แล้ว +4

      This comment made me laugh harder then I should of.

  • @alijoyce2169
    @alijoyce2169 6 ปีที่แล้ว +96

    I love the way he teaches. He lets his students think and do it themselves. Our teacher just re-teaches himself...

  • @kennymetz187
    @kennymetz187 8 ปีที่แล้ว +498

    Professor Leonard,
    Hello, I am a senior at Temple University in the fox school of business. I sincerely want to thank you so much for making these videos and providing them for free to the public. My math professors here have all been incredibly intelligent, but i have really struggled with the material. I love math, but i'm just not very good at it, or so I thought. While watching your videos something just clicked and its all seems to be starting to fall into place.
    Now that's not to say that the material is easy by any means, but I now feel like I actually have a chance in learning it. You have a way of explaining things that makes me now able to visualize conceptually. Also, what I think really makes you stand out the most to me is how you actually give a background and explain the concepts of the theory. Many professors merely write a problem on the board and say," Here's how to solve. Any questions (three second pause) Good, moving on!" I have my first exam in seven days and thanks to you i now believe that i actually have a chance of not only passing, but might actually get a good grade.
    Please forgive the length, but the reason I am taking the time to write this to you is just to let you know how great of a teacher that you are.

    • @ProfessorLeonard
      @ProfessorLeonard  8 ปีที่แล้ว +189

      Best of luck on your first test Kenny!! I'm glad things are making sense :)

    • @sleuth1521
      @sleuth1521 2 ปีที่แล้ว +14

      You wrote it as if it is a fckin letter

    • @jerkpork4058
      @jerkpork4058 2 ปีที่แล้ว +4

      @@sleuth1521 lol

    • @HelluvaAnt
      @HelluvaAnt 2 ปีที่แล้ว

      @@sleuth1521 rofl XD

    • @alanx4121
      @alanx4121 2 ปีที่แล้ว +13

      @@sleuth1521
      They should put back writing letters in the school curriculum.

  • @mc9960
    @mc9960 3 ปีที่แล้ว +50

    I had to come back here to say thank you for my civil engineering degree. I couldn't have got it without your help!

  • @backtoafrica895
    @backtoafrica895 9 ปีที่แล้ว +416

    Just wanted to say THANK YOU.
    Watch all your video and Clep CALCULUS , Intermediate algebra and am working now on statistic.
    just tell us How we can contribute to your work.
    Universities make us pay more and cannot even explain 1/4 of you explanation.
    THANK YOU

    • @ProfessorLeonard
      @ProfessorLeonard  9 ปีที่แล้ว +132

      Ben Ti Hello Ben! You are very welcome, and I am pleased that you find my explanations useful. If you so desire, you may contribute to the channel by visiting the channel home page and clicking on the support button on the right side of the screen. Thank you so much for your encouraging words!

    • @mohamedalaa1669
      @mohamedalaa1669 9 ปีที่แล้ว +10

      +Professor Leonard I just wanna say the same as Ben said ... thanks so much

    • @mohamedalaa1669
      @mohamedalaa1669 9 ปีที่แล้ว +3

      +Professor Leonard I just wanna say the same as Ben said ... thanks so much ..... you concentrate on basics and we all miss that important point and I like the way you teach ... so thanks

    • @Kbaf4
      @Kbaf4 8 ปีที่แล้ว

      +Ben Ti How did Clep Calc go? Was it hard? I'm going to be taking it soon myself.

    • @backtoafrica895
      @backtoafrica895 8 ปีที่แล้ว +4

      +Kbaf4 the secret is do a lot of example. I had 1.23 min for each question. so you have to practice a lot so on the exam you don't have to think about what method to use. the exam by himself is not difficult. Proof Leonard explain every single example that will come on the test. I got A in statistic, and B in calculus.

  • @mwip57
    @mwip57 7 ปีที่แล้ว +95

    I have passed calculus at a major research university and knew that slope-intercept is y=mx+b but not why until I watched this video. Truly great teaching

  • @ImDaRealBoi
    @ImDaRealBoi ปีที่แล้ว +26

    11 years later, and I have to say that this aged really well. Loved your teaching style and involvement with the class, you even got me answering out loud. Thank you Professor Leonard, I'm going to try to do calculus over the summer and I think this will definitely help.

  • @gogos869
    @gogos869 4 หลายเดือนก่อน +3

    I can’t believe I’m watching this! I’m 60 and always wanted to learn calculus. I was afraid of my math teachers in grade school and high school (had an overly critical father) He’s a good teacher. I understand so far!

  • @alexjohnnythelumb7579
    @alexjohnnythelumb7579 3 ปีที่แล้ว +19

    IT student here, I'm gonna have a Calculus 1 exam tomorrow and I've watched your course to prepare myself. Whether it's going to be good or bad, thank you for everything you shared here, you're amazing!

  • @yasarkar34
    @yasarkar34 10 หลายเดือนก่อน +8

    I am watching you from Türkiye. As a engineer student I can easily work Math thanks to you. Your student proud of you Professor.

    • @eraysona7916
      @eraysona7916 10 หลายเดือนก่อน +2

      aynen

    • @nurselinaktas
      @nurselinaktas 10 หลายเดือนก่อน +2

      same here

  • @fitfuelplanner
    @fitfuelplanner 9 ปีที่แล้ว +116

    Love how you made this so understandable! I'm majoring in Computer Science and I'm coding and doing your classes online so I can be prepared. Thanks so much Professor! :)

    • @richardpfeynman4526
      @richardpfeynman4526 9 ปีที่แล้ว +6

      Steven Garcia Cryptography

    • @user-qw6en6rj7j
      @user-qw6en6rj7j 9 ปีที่แล้ว

      etiohpa

    • @user-qw6en6rj7j
      @user-qw6en6rj7j 9 ปีที่แล้ว

      etiohpa

    • @iLoveTurtlesHaha
      @iLoveTurtlesHaha 7 ปีที่แล้ว +8

      I'm in the same boat as you. XD Came here because my Calculus prof can't teach and doesn't know English. I am scared to death right now because he only uses caveman English and no one understands what he is saying. I don't know how a university can take our money and hire people without the basic communication skills. I'm not even exaggerating, I'm able to understand people with heavy accents, but this dude is just like one worders and constant pointing.

    • @tracegoskssmsmm7933
      @tracegoskssmsmm7933 7 ปีที่แล้ว +7

      if the uni is more research based they really don't care how well the prof teaches they care how well he can contribute to their research, and it sucks bc they don't care about finding a teacher that can teach like this guy

  • @antik8867
    @antik8867 5 หลายเดือนก่อน +1

    Professor, I cannot express how grateful I am towards you for uploading these lectures. I am 15 years old and have a huge obsession towards math. So, I thought that calculus was something that I should get a hang of from now on. That's when I had looked up on TH-cam and found your channel. And I must say that you are one of a kind in teaching. Not only are your videos comprehensive, but they also make me feel like being in a classroom-like environment, which I've rarely experienced on other resources. I believe that throughout the help of your lectures, I can easily work my way through and gain sufficient experience in this complementary field. Thanks a lot!

  • @jacktaylor1516
    @jacktaylor1516 4 ปีที่แล้ว +11

    Man this is good stuff... When we get out of quarantine, we are gonna be some Calc BEASTS!!!! Who is with me?

  • @2nostromo
    @2nostromo 6 หลายเดือนก่อน +4

    I had this calibre of teachers all through school in the 60s-70s. Now many years later i understand how fortunate I was.

  • @N1tTROxUMP45
    @N1tTROxUMP45 6 ปีที่แล้ว +5

    I am finishing calc 3 at university. When i took calc 1, I NEVER went to a class. Taught myself the whole course through these calc 1 videos by prof leo and aced the final!!! Just finished his calc 3 videos with a week to spare before my final and I can vouch that all his videos from calc 1 to cal 3 are legit af

    • @N1tTROxUMP45
      @N1tTROxUMP45 2 ปีที่แล้ว

      @@aalekhrasal4246 lol didn’t expect a reply 3 years later but from the textbook and hw. You can also prob try googling stuff like: ‘calculus practice test - integration by parts’ but replace integration by parts with whatever chapter u want help in

  • @LFerrellMechEng
    @LFerrellMechEng 3 ปีที่แล้ว +5

    This guy is a hell of a professor. I always found math extremely interesting, and originally wanted to make a career out of it. I've found throughout my life that I'm much better at applying complex mathematical concepts to real-world applications, so here I am, a mechanical engineer.
    As someone who's only watching these for a simple refresher. I really wish he would've been my Calc 1 instructor. Phenomenal teaching sir. you start simple with the basics and slowly work to the more complex problems. great pace, interactive with his students, and very knowledgeable.

  • @Dmccumsey
    @Dmccumsey 3 ปีที่แล้ว +25

    I just want to say thank you for these videos, I just recently passed my calculus class in 2 months, without taking pre-calc or trig before. And these videos had a huge part in that, thank you again

    • @ayee1457
      @ayee1457 ปีที่แล้ว +1

      This gives me hope!!! I haven’t take pre calc or trig either and I start on Monday. Haven’t taken a math class in a while either. So scared.

  • @2IITians
    @2IITians 3 ปีที่แล้ว +8

    When a Teacher becomes a performer he is adored by all students. Love from India. Also I will add that 9 years ago such a good videography was not easy!

    • @shreyarora4739
      @shreyarora4739 3 ปีที่แล้ว

      yep @2 IITians I am also an Indian and i admit the fact that he is really too good 😍😍😍😍

  • @caspervandenberg8581
    @caspervandenberg8581 ปีที่แล้ว +9

    I'm a 14 year old mathematics enthousiast, and this is just what I needed after I learnt algebra. You're amazing! 😀

    • @unsalad
      @unsalad ปีที่แล้ว

      Oh

  • @juliancassidy3081
    @juliancassidy3081 2 ปีที่แล้ว +1

    I don't know if this would ever get seen, it's been 9 years after all. But I'd like to give my thanks to you, Prof. Leonard. I'm an international student trying to get a scholarship to go to the States, but sadly they don't offer any AP classes here and I think not having at least participated in a few would lower my odds tremendously. I found your classes, and they were all exceptionally put together. I got a 5 on AP Cal BC and I can't express enough gratitude towards you and your work.
    Sincerely, have an amazing day!

    • @lavine1219
      @lavine1219 2 ปีที่แล้ว

      wowowowo!!!! what tips do you have to get such high scores?

  • @vladislava8351
    @vladislava8351 ปีที่แล้ว +3

    I’m coming back to school to finish a degree I had tried to start almost 5 years ago. Calculus was one of the classes in addition to the other where I found my self far lost. Next week we start this class again. This time I’m starting to study before anything has started. This video is helping me see where I need to focus on the most in terms of preparation for this class. Thank you for making these. I plan to go over as many lectures & material before class starts.

  • @kyawheinhtut3728
    @kyawheinhtut3728 16 วันที่ผ่านมา

    This dude is still a legend after 12 years. Thank you so much for teaching clearly!!! You are a real LEGEND.

  • @ademjaoski
    @ademjaoski 2 ปีที่แล้ว +7

    What I love about your videos is you teach everyone on the base level so everyone is on the same page before moving on while other teachers except you to already be on the same page which I mean I understand but when your in college there are people of different ages that might not be as familiar you never skip a step while other teachers do.

  • @briangale404
    @briangale404 3 ปีที่แล้ว +4

    Getting ready to take calculus again. First time was in 1991. These videos are the best review I could find on the internet. Very helpful and I am following along with the instructor and my old Thomas / Finney 8th edition Calculus book from the 90s. I would like to thank the professor for recording his lectures.

  • @baseernikzad7209
    @baseernikzad7209 9 ปีที่แล้ว +17

    i would never pass without his lessons! What a great man he is!! I think he should also give lessons to other calculus teachers, because they all sucks badly!!

  • @DaFireElf
    @DaFireElf 10 วันที่ผ่านมา

    hi, professor leonard! i started my math journey using your videos to help me figure out math intuitively and easily. i absolutely love them.

  • @ull893
    @ull893 7 ปีที่แล้ว +3

    Please allow me to say this Sir. You are one of the greatest math teachers in this world. I am sure everyone agrees with that. But the most important quality I see in you is that, You work with the students, in helping them to get to their goals. Not against them, as most teachers I have known. That goes for not only math, but any subject, even it be truck driving. I do not know why it is like that. But you are a welcome exception. You do not let your knowledge hinder the student' s learning curve. You sense the student's grasp level and change gear accordingly. Before the student realize, he/she has understood the topic. It is your magic style ! I was not lucky to have a teacher like you in my school days. Otherwise my life would have been different from what it is now. Students you are lucky people, use him !!! for your own good. Thank you.

    • @ProfessorLeonard
      @ProfessorLeonard  7 ปีที่แล้ว +4

      Working WITH students to help them LEARN is why we, as teachers, do what we do. I truly appreciate you taking the time to write this and letting me know you have recognized that. Best wishes!!

  • @abisenaguna548
    @abisenaguna548 3 หลายเดือนก่อน +1

    He is the most calmest teacher i've ever seen

  • @theucovers4325
    @theucovers4325 3 ปีที่แล้ว +8

    The way you started off by deriving the formula for the slope of straight line, I must say this....I have never been taught the same way. Math had always been a subject which for me sometimes "had" to make sense. Although now after having watched your videos....it does make sense. The education domain needs more talents like you to strengthen students' confidence and competence! Thank you sir!

  • @cadendavis4789
    @cadendavis4789 24 วันที่ผ่านมา +2

    In the first 15 minutes he has taught me more than my college calc prof has in the last week🤣

  • @pangvang7572
    @pangvang7572 5 ปีที่แล้ว +11

    Wow.. He is teaching the very foundations of Calculus in less than an hour, when my university just skips it. It doesn't hurt to have this foundations review in one class bro ;-;

  • @standsour8916
    @standsour8916 3 ปีที่แล้ว +2

    Josh A
    1 year ago
    COMPLETE CALC 1 with 12-Day Guide. (4-8 hours a day)
    Day One
    0.1 - 50 min (Lines, Angle of Inclination, and the Distance Formula)
    0.2 - 1 hr 40 min (Calculus 1 Lecture 0.2: Introduction to Functions)
    0.3 - 1 hr 20 min (Review of Trigonometry and Graphing Trigonometric Functions)
    0.4 - 16 min (Combining and Composition of Functions)
    Day Two
    1.1 - 1 hr 30 min (An Introduction to Limits)
    1.2 - 3 hr (Properties of Limits. Techniques of Limit Computation)
    Day Three
    1.4 - 1 hr 30 min (Continuity of Functions)
    1.5 - 1 hr (Slope of a Curve, Velocity, and Rates of Change)
    2.1 - 1hr 16 min (Introduction to the Derivative of a Function)
    Day Four

    2.2 - 1hr 12 min (Techniques of Differentiation (Finding Derivatives of Functions Easily))
    2.3 - 1hr (The Product and Quotient Rules for Derivatives of Functions)
    2.4 - 40 min (Applications of the Derivative)
    Day Five

    2.5 - 50 min (Finding Derivatives of Trigonometric Functions)
    2.6 - 1hr 35 min (Discussion of the Chain Rule for Derivatives of Functions)
    2.7 - 1 hr 10 min (Implicit Differentiation)
    Day Six

    2.8 - 55 min (Related Rates)
    3.1 - 1hr 35 min (Increasing/Decreasing and Concavity of Functions)
    3.2 - 7 min (A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.)
    3.3 - 26 min (The First Derivative Test for Increasing and Decreasing)
    Day Seven
    3.4 - 37 min (The Second Derivative Test for Concavity of Functions)
    3.5 - 1hr 24 min (Limits of Functions at Infinity)
    3.6 - 1hr 33 min (How to Sketch Graphs of Functions)
    Day Eight
    3.7 - 1hr 35 min (Optimization; Max/Min Application Problems)
    4.1 - 2hr 45 min (An Introduction to the Indefinite Integral)
    Day Nine

    4.2 - 1hr 34 min (Integration by Substitution)
    4.3 - 2hr 10 min (Area Under a Curve, Limit Approach, Riemann Sums)
    Day Ten
    4.4 - 30 min (The Evaluation of Definite Integrals)
    4.5 - 2 hr 45 min (The Fundamental Theorem of Calculus)
    Day Eleven
    5.1 - 1hr 34 min (Finding Area Between Two Curves)
    5.2 - 2hr 50 min (Volume of Solids By Disks and Washers Method)
    Day 12
    5.3 - 55 min (Volume of Solids By Cylindrical Shells Method)
    5.4 - 2hr 20 min (Finding the Length of a Curve on a Plane)

  • @mateobalcorta9480
    @mateobalcorta9480 ปีที่แล้ว +3

    Just wanted to say thank you! you carried me all the way through calculus 4 and differential equations. Couldn't have done as well as I did without you... you're impact is huge! thank you!!!

  • @gabesreality
    @gabesreality 2 ปีที่แล้ว +1

    Just saw this pop up on my feed and haven’t watched any of this guy in years, but he helped me get through my stats and calculus classes in college so wanted to show some love!!! Thanks Professor Superman!!!

  • @katielove1394
    @katielove1394 6 ปีที่แล้ว +40

    He teaches so well that sometimes I forget I am watching a video and I feel really silly when he says "show of hands" and I raise my own or when he asks a question and I answer. lol

  • @maple_vanilla
    @maple_vanilla 3 ปีที่แล้ว +1

    This brings me back to the joy of math class. Having severe ADHD math was the only class I liked because it was the only one that kept me occupied and not bored.

  • @TikkyTakMoo
    @TikkyTakMoo 2 ปีที่แล้ว +4

    22:16 - small error, you would get ¾ for x intercept, not four-thirds
    Really great review/lesson. I'm trying to scrutinize a new method of calculus comparing it to fundamental concepts and finding the crossovers. These are so useful. Thank you!!

  • @KrishJourney404
    @KrishJourney404 6 หลายเดือนก่อน +1

    You're the best math teacher I've ever had! I never thought I could enjoy learning these concepts, but you make it so fun. Thank you so much for your hard work and dedication. I admire how you stay fit and focused while teaching math. Maybe one day you'll even invent an equation as groundbreaking as Einstein's!

  • @stephenfreeman2207
    @stephenfreeman2207 6 ปีที่แล้ว +4

    Excellent instructor. Professor Leonard is so good at what he does that he transcends.

  • @freddypelo
    @freddypelo 10 หลายเดือนก่อน

    Professor Leonard has all my respect and admiration for his clear, friendly, didactical and kind teaching style. Thanks to him I returned to maths, redeveloped my love of sciences and concluded my career with honours. I hope he is doing well wherever he is.

  • @Forde3654Eire
    @Forde3654Eire 10 ปีที่แล้ว +11

    38:27 "Alright uh, let me re-cap... did you get that?" Oh for God's sake! Haha!
    Great introduction Leonard, great teacher! My efforts in Calculus I and II failed me miserably... planning on retaking them over the summer semester. Really glad to get a nice fresh clean start with your videos here! You're the man!

    • @mnonymous8694
      @mnonymous8694 4 ปีที่แล้ว

      I know I probably don't deserve to watch this lecture because of my IQ, but I didn't get the joke :(

  • @sergedaney3511
    @sergedaney3511 5 ปีที่แล้ว

    Prof. Leonard you are an absolute hero. Thanks to people like you the internet is such a great place. I've named my cat after you.

  • @rogerbodey9475
    @rogerbodey9475 7 ปีที่แล้ว +5

    I am English and sat mathematics O-level at thirteen (in 1967).. I was able to continue maths for another year before having to choose my three A-levels (in Modern Languages). I regret the fact that I was never taught calculus and, now that I have retired, I hope to make good this omission. Professor Leonard's lectures are just the thing I need, his teaching style is so extraordinarily good that they would be worth watching by any aspirant teacher of any discipline.

  • @YoungEli9
    @YoungEli9 2 ปีที่แล้ว +1

    Your teaching style is the best, it only takes me to watch your videos once with complete focus to understand the topic, my school teacher's couldn't do this if their lives depended on it

  • @TheManonCanon
    @TheManonCanon 8 ปีที่แล้ว +8

    I love Leonard why cant all Calc teachers be this great??

  • @canman5060
    @canman5060 6 ปีที่แล้ว +1

    You are a excellent Maths teacher. I have learned all these stuffs some 40 plus years ago.Now I am recapping them at old age.

  • @TheVillagewearhouse
    @TheVillagewearhouse ปีที่แล้ว +3

    this gonna get me addicted to calculus.. Professor Leonard teaching like a god. nice stuff

  • @shjaaz4139
    @shjaaz4139 2 ปีที่แล้ว +1

    maybe the best teacher i have ever seen in my life, thanks for everything. your teaching method is still the best for students like me. i hope you see my comment.

  • @prim16
    @prim16 7 ปีที่แล้ว +72

    I came for the Calculus. I stayed for the professor. 😍

    • @vladusa
      @vladusa 3 ปีที่แล้ว +2

      Weirdo

    • @iamsupriyo
      @iamsupriyo 3 หลายเดือนก่อน +1

      you naughty naughty

  • @chrishogan4010
    @chrishogan4010 3 ปีที่แล้ว

    Professor Leonard,
    It's been about 20 years since I've looked at calc. I'm just going to say this here and now, it's completely unfair that this man looks as good as he does AND is a master of calculus. Pick one dude, you can't have it all.

  • @johnbush2556
    @johnbush2556 8 ปีที่แล้ว +30

    I enjoy Professor Leonard. Makes me see what I missed by going to class.

    • @my-crazy-fantastic-fanatic
      @my-crazy-fantastic-fanatic 7 ปีที่แล้ว +5

      Tbh, my teach covered the first 10 min. in 30 seconds flat, and _I didn't understand a thing._ It's been proved once again that TH-cam saves our lives on any given day. 😉

  •  6 ปีที่แล้ว +1

    Hello,Professor Leonard. I'm a political science and IR students and I love maths so much. Thank you for your helps for my visas.

  • @arm9180
    @arm9180 4 ปีที่แล้ว +7

    I can only dream of a professor this good

  • @chadbrooks80
    @chadbrooks80 4 ปีที่แล้ว

    Professor Leonard, I am learning calculus to become a data scientist. I will need to learn all the way up to multivariable calculus and have already watched just over 20 hours of your calculus 1 videos. I watch 2 hours of your videos per day without fail in order to reach my deadline. Then I go out and find problems where someone also solves them so i make sure I understand the concepts. Let me say that your courses on here are a goldmine and a true blessing. Hope you are doing well during these troublesome times!

    • @mrborat2493
      @mrborat2493 3 ปีที่แล้ว

      Hi I'm in 11th grade, do you think I can take this course, if not, what do I need to know before starting Calculus 1, thank you

  • @abdullahinorisack1683
    @abdullahinorisack1683 4 ปีที่แล้ว +5

    Hi professor i am greeting from somalia i like the way you are teaching mathematics and i appriciate the work you are doing thanks

    • @IbrahimMomar50
      @IbrahimMomar50 ปีที่แล้ว

      While I reading the comments, I saw youf comment, and I am originally from Somalia, I am glad that Somali brothers are connected to this heroic man.

  • @hmf33
    @hmf33 4 ปีที่แล้ว

    Probably the best for Calc 1 students. I love the way you walk me through the problems. Way underrated.

  • @richardsinclair7661
    @richardsinclair7661 5 ปีที่แล้ว +7

    What a fantastic introduction to Calculus. I'm taking Calculus II this coming semester and I'm reviewing for it. I felt lost in Calculus I, even though I got a B in the class, and I'm trying to avoid that this semester. I especially appreciate that this course is taught from the bottom, up, taking time to review fundamental concepts and establish relationships between them. This is a crucial step that many TH-cam courses skip. This course also manages to teach concepts in a friendly way, whereas the MIT Online Course (while being a great resource) is too technical and abstract for first-time learners.
    Overall, a great start. I'm looking forward to binging this playlist.

  • @ds5375
    @ds5375 6 วันที่ผ่านมา

    8 months into PL's material, finally made it to calc-1. Milestone reached :)

  • @osama9501
    @osama9501 หลายเดือนก่อน +3

    God i wish this was my professor

  • @graceturnbull1379
    @graceturnbull1379 4 หลายเดือนก่อน

    I'm going back to school after 5 years, nearly failed Cal 1 for the second time back then and about to start Cal 2. Thank you for making this much less overwhelming. I was terrified but you make this enjoyable. I'm literally sitting here laughing which is not something I thought I'd be doing relearning Calculus 1 for the third time.

  • @savedbygrace8402
    @savedbygrace8402 5 ปีที่แล้ว +3

    This video helps me understand my college algebra class.
    YOU SIR, have an extraordinary teaching gift.
    Thank you so much for your videos and how they are free for anyone to access them.
    I have 2 kids, I work full time and paying for college out of pocket. I can’t afford a math tutor.
    Why can’t there be more professors like you in this world?
    THANK YOU!!!

  • @StaticBlaster
    @StaticBlaster ปีที่แล้ว

    I like his style: lucid, crisp and humorous. Great Job, Professor Leonard.

  • @chococat1313
    @chococat1313 8 ปีที่แล้ว +405

    i already passed calc with a 97% but i watch anyway for those biceps

    • @omarkyon1933
      @omarkyon1933 8 ปีที่แล้ว +16

      +katie cook lol wth,

    • @ArielVolovik
      @ArielVolovik 8 ปีที่แล้ว +5

      I have calculus in 2 years, just readying up haha, did he help a lot?

    • @omarkyon1933
      @omarkyon1933 8 ปีที่แล้ว +6

      Ariel Volovik he's a great teacher but her comment made me laugh. I know women who watch baseball for the guy's butts but this..haha lol.

    • @AlchemistOfNirnroot
      @AlchemistOfNirnroot 8 ปีที่แล้ว +10

      Random errors, they creep into calculations easier than you think.

    • @hanisingh3369
      @hanisingh3369 7 ปีที่แล้ว

      katie cook hye

  • @Sir_Infiden
    @Sir_Infiden ปีที่แล้ว +1

    As an 8th grader, i really needed to know the things that will lead me to understand calculus, i understood nothing in starting, then i took a 1 week break and learnt the concept on slope and other slope realted thing and i already knew little basic trigonometry, now that i finally watched the full semester 1.0, i can say that It really helped me a lot. Thanks sir

  • @g0urra
    @g0urra 8 ปีที่แล้ว +20

    Thanks Leonard, you're the best.

  • @sameer8056
    @sameer8056 3 หลายเดือนก่อน

    I am so thankful to professor leonard. I completed his whole calculus playlist. He teaches in such a way that students find intresting to learn. It would have been wonderful if i got opportunity to attend his class.

  • @baltai3123
    @baltai3123 หลายเดือนก่อน +4

    My goal is to finish calc 1 and 2 within 2 months. Currently it is 07.08.2024 and my goal is to finish it on 07.09.2024. I'm writing this here to put some pressure on me.

    • @yakisoba9013
      @yakisoba9013 หลายเดือนก่อน +1

      Let's do it

    • @aruthememelord
      @aruthememelord หลายเดือนก่อน

      u got this. Same plan for me but 6 months

  • @TidanOfc
    @TidanOfc ปีที่แล้ว +1

    This man is the most generic-looking teacher ever, great fit, great haircut, muscles, everything a perfect teacher would have.

  • @FutureAIDev2015
    @FutureAIDev2015 8 ปีที่แล้ว +11

    This professor is AWESOME!

    • @ganymeade5151
      @ganymeade5151 4 ปีที่แล้ว

      He is very smart. A good teacher. And looks very professional.

  • @thezopelo
    @thezopelo 2 ปีที่แล้ว

    I really like Prof. Leonard. Very charismatic, ensuring comfortability for his students, limiting the friction of the journey from ignorance to mastery.

  • @samae1Z
    @samae1Z 8 ปีที่แล้ว +12

    31:48 Thanks Leonard you're the best!

  • @sophiazaynor2089
    @sophiazaynor2089 6 ปีที่แล้ว +2

    Thanks so much for making these Dr. Leonard! I work as a math tutor. I'm really glad I have these videos to brush up on my skills and to give to my students as an educational resource. I am really impressed by how you talk to the students, friendly and accommodating. I think teachers can learn a lot by watching these too.

  • @garrafromsand
    @garrafromsand 9 ปีที่แล้ว +7

    Hello Prof. Leonard,
    I am Gaurav from India. I must say, most helpful video on calculus lecture on earth and I really loved these video.
    I would like to request to you, Actually I am struggling with several variable(2 variable function) limit, continuity and differentiability, please make some video on this topic.
    It will be very helpful.
    Thanks
    Gaurav

    • @ProfessorLeonard
      @ProfessorLeonard  9 ปีที่แล้ว +17

      +Gaurav Singh This will be in a video next semester for Calculus III

    • @garrafromsand
      @garrafromsand 9 ปีที่แล้ว +4

      Ohh so it is my bad luck, but I still request you the same Sir and anyways thanq very much Leonard Sir. You replied, it felt very good.

  • @shicrazy33
    @shicrazy33 ปีที่แล้ว

    I freaking love you, my Calculus AB teacher just says to use the point slope line formula for the function to a tangent line, but I never learn where it really comes from. None of my previous teachers taught me it, I don't think my Algebra teachers ever did.

  • @ShomronDavidHawkTechDV
    @ShomronDavidHawkTechDV 8 ปีที่แล้ว +4

    Thank you, Professor Clark Kent, I like the way you explain.

  • @StaticBlaster
    @StaticBlaster ปีที่แล้ว

    The best teacher on youtube. I already know calculus kind of but I'm here to brush up on my calc skills, then I'll brush up on my linear algebra, then learn statistics.

  • @agentsmidt3209
    @agentsmidt3209 8 ปีที่แล้ว +7

    Aha! now I get it...after 11 years lol! I've always wondered why they call it the point slope formula....great professor.

  • @mduduzinzuza7611
    @mduduzinzuza7611 4 ปีที่แล้ว

    I don't know if I'm 8 years to late but Thank you Professor Leonard, I was about to give up on Math abilities but now I aspire to get a PhD. People like you make us want to be better people you brilliant no lie. May God bless you

  • @jasonandmonte
    @jasonandmonte 2 ปีที่แล้ว +3

    Thanks Leonard, you're the best!

  • @AshishGupta-qu4zh
    @AshishGupta-qu4zh 9 หลายเดือนก่อน

    "Let me recap" was hilarious. You teach logically from the basics in a great way. Appreciate it.

  • @xvgreen8586
    @xvgreen8586 ปีที่แล้ว +3

    Just started a new journey

  • @Aiki27
    @Aiki27 2 ปีที่แล้ว +1

    sir im just starting my mecha engineering year in uni, your class save me when iam doing my assignment and hw. i hope i find your channel in my early years. you just inspire me to do more in math. tq so much sir

  • @davidharford3873
    @davidharford3873 8 ปีที่แล้ว +7

    I leaped from Prealgebra #20 to this video just to see what it was like. Holy crap! I'm guessing im going to need the rest of prealgebra+Intermediate before tackling Calculus!

    • @beitel21
      @beitel21 8 ปีที่แล้ว +4

      lol take out i'm guessing and you will be correct

    • @FahimSleuth
      @FahimSleuth 7 ปีที่แล้ว +7

      I suggest don't dare go to calculus without detailed pre calculus. i skipped pre- calculus and the university professor expected me to know everything and they didnt even give an intro to what they were gonna teach. I am nearly failing this semester.

    • @TheSpasmer
      @TheSpasmer 7 ปีที่แล้ว +1

      i watched all of prof.leonards videos before calculus 1. so yes, you´re right

    • @russeldioneo5187
      @russeldioneo5187 7 ปีที่แล้ว +2

      do trigonometry as well, trust me i spent 2 months learning everything about it i never regretted it ever since

    • @davidharford3873
      @davidharford3873 7 ปีที่แล้ว

      Update: Just finished Prealgebra and am up his 5th Intermediate Algebra video.
      Lets see how this goes!

  • @oykuegembaysal3874
    @oykuegembaysal3874 2 ปีที่แล้ว +1

    thanks for your lesson. When I started university in Cyrups I say I cant do calculus but now I meet with my new teacher and I can understand. nice 2 meet u profesor Leonard. :)

  • @marcidah7302
    @marcidah7302 4 ปีที่แล้ว +6

    I wish I discovered this 8 years ago. I would have got better math grades😭😭

  • @ganymeade5151
    @ganymeade5151 4 ปีที่แล้ว

    This teacher is a straight arrow. This class is for math people. However, some can always watch and learn even if math is not best subject.

  • @Bruh-ov5db
    @Bruh-ov5db 2 ปีที่แล้ว +4

    What textbook does this video follow

  • @ufess1620
    @ufess1620 9 หลายเดือนก่อน

    I remember watching professor Leonard for pre calc. I can back to this old series for my new term in a difrent college for calc. Thank you professor Leonard, for having the ability to make math and approach teaching it in way that every student eagerly comes back for more. Wish there were more teachers like you,

  • @ranjeetskanda7634
    @ranjeetskanda7634 9 ปีที่แล้ว +6

    Thanks Leonard.....nd really u r da best....

  • @besteditingchannel732
    @besteditingchannel732 9 หลายเดือนก่อน +1

    If I get more than the exam, it's thanksto you.Thank you in advance.

  • @gleon1602
    @gleon1602 5 ปีที่แล้ว +6

    I just wanted to say that I understood everything he said. However, I'm a little shaky with memorizing my unit circle.

  • @INVYONEARTH
    @INVYONEARTH ปีที่แล้ว +1

    I don’t know if you be seeing these lil comments this long ago but I just wanna say that I keep seeing videos of people saying calculus is hard so im gonna learn is before I even have the class im in the first year of middle school btw so I appreciate you recording these❗️😭

    • @INVYONEARTH
      @INVYONEARTH ปีที่แล้ว

      SECOND YEAR*

    • @ari-man
      @ari-man ปีที่แล้ว

      Good luck!

    • @user-vv1do1wg1j
      @user-vv1do1wg1j ปีที่แล้ว +1

      middle school? youre going to get to calculus late highschool, you would be better off spending your time on fundamentals, you are quite a ways away from this.