You should post a video of your workout routine, Professor Leonard. About the math, clear and concise. Thanks.
@varunrajput37547 жыл бұрын
yi
@aintthatharsh5 жыл бұрын
@@varunrajput3754 yeet
@yasirosman82423 жыл бұрын
He is using the power rule for his workout lmao.
@TheDagger552 жыл бұрын
@@yasirosman8242 xD
@xzavierreed Жыл бұрын
Keeping this comment alive because truly
@leonardo0068 жыл бұрын
Easy to understand. Not many professors connect with a beginner's mind like this, and just blabber on nonsense. Thank you Prof. Leonard!
@Mikebigmike942 жыл бұрын
Finally finished your calc 2 course, over 50 hours. thank you! I have noticed most university lectures it seems just more of a show of them showing how fast they can do maths, without teaching much, but you really take your time to teach and it shows. for example, your first calc 2 video was solely about natural log function and it was over 2 hours long. says it all :)
@Eldricrypt11 ай бұрын
says it all, just like your juicy pecs
@jacobsteenhuysen75268 жыл бұрын
You're currently educating Peace Corps volunteers in Indonesia. You and technology are amazing. Thank you.
@ForzaAllegri4 жыл бұрын
Prof, I had the highest grade in Calculus 2, All my integrals were correct thx to ur great teaching! even In numerical Analysis I came back to u. You are the goat of teaching math
@utubefrog098 жыл бұрын
My god, I go to CSU EB, I have taken Calc I and II multiple times and dropped them because my professors DO NOT explain anything, they just copy a set of problems from their notes on the board, I could get that using Wolfram Alpha. Thank you thank you thank you Professor Leonard, for once I could actually understand why we went from one step to the next, I wish we had a single professor 1/8th as good as you. Thaaaaaaaaaank U.
@michaeldemontagne73663 жыл бұрын
same here!
@0zfer9 жыл бұрын
You are a GREAT professor. Can understand what you are saying, can read what you a writing on the board, you explain things very well, and you make sure everyone understands before moving ahead. Better then any real calc proff I have ever had. True story, last year in calc class I had this professor and I could not read his writing, we were in a room where the AC sounded like a jet engine and I could not hear what he was saying. I asked him, "could you please speak louder I can't hear what your saying". He said, "This room is louder then my typical room and I will not speak louder". I kid you not. I transferred out that day (thank god) and found he has a F on rate my professor. Later that semester some students went to the dean because they were upset and the school said they would do nothing. They gave all their names to the professor and he failed them all.
@haydenmcdow71308 жыл бұрын
The Knowledge Gainz are real. Thank you for the awesome video, made the Simpson's Rule concept much more clear to me!
@mikehensley76674 жыл бұрын
I finished calc 2 in the spring and doing 3 in the fall. I felt I had some holes and wanted to find a way to review everything. These videos were a great fix. I picked up alot of new things I missed the first time around. This semester I will make sure to parallel topics with his calc 3 videos. Great teacher. Big fan. I watched every calc 1 and calc 2 video for summer review. I feel alot more confident going into 3 now.
@myuse78483 жыл бұрын
7 years later! Can understand it crystal clear! 30/08/2021 All the way from Sri Lanka! Thank you Professor!
@gracenyambura92876 жыл бұрын
I know this is like 4 years later but just thought you should know that you are such a life saver you have no idea
@derickpambah3 жыл бұрын
Man! I am humbled by this guy. You deserve alot more here. Thanks once again. I hope you're fine where you're. May God bless you man.
@maher_arora9 жыл бұрын
Just took my calculus 2 final, aced it! Thank you for all your help Professor Leonard, because of you I'm done with calculus 2, now on to calculus 3! :D
@chris-dd6uq7 жыл бұрын
@Maher Arora How was Calculus 3? How was it compared to Calculus 2?
@maher_arora7 жыл бұрын
SKYNET #2025 I thought calculus 3 was alright. probably easier than calculus 2 but 3 is very abstract. there's a lot of abstract concepts and it is helpful if you are able to grasp these different multi dimensional concepts.
@chris-dd6uq7 жыл бұрын
@Maher Arora Thanks. Have you also taken Linear Algebra? In my school Calc 3 is a prerequisite for Linear Algebra. But I want to take them at the same time. I'd have to get permission first. Do you think that it would be a bad idea to do so?
@maher_arora7 жыл бұрын
SKYNET #2025 linear algebra and calc 3 go hand in hand. I took Lin alg first and it was easier than calc 3
@chris-dd6uq7 жыл бұрын
Maher Arora thank you for replying to my comments.
@bLittleHemi9 жыл бұрын
You have to come to New Mexico State University and teach Calculus 2!! My professor couldn't make numerical integration this simple and easy in a hundred years! You are awesome, brother. Keep it up!
@JoseOrtiz-dl5wc8 жыл бұрын
Literally was your student for the whole a semester, now time to drive it home by practicing examples, so that I may pass my calc final.
@johnmwajinje19413 жыл бұрын
Watching the video from Kenya,,,thank you sir for helping me understand Simpson and Trapezium rule
@vtecminileon8 жыл бұрын
Thank you very much. Absolute legend!! Your teaching is clean and crisp. Wish we had a teacher like you.
@asiimwemicheal538 жыл бұрын
u have saved me tomorrow i have a paper of numerical method thnks alot
@mimicmemento5 жыл бұрын
You are a lifesaver! My professor explains things in the weirdest ways possible, and uses "shortcuts" that don't always work and aren't actually mathematical (so coincidence). Your lectures help me with the topics that I cant understand my professor for! I definitely wouldn't be able to pass this class without these lectures, thank you so much!
@mortiloniperpomontinson2 жыл бұрын
Log
@Lu404Ai2 жыл бұрын
SPEECHLESS!!!! AMAZING. The best Pro-Professor in the world! 🙏👌
@keroloskaras79732 жыл бұрын
I had no hope of passing this class, and I started watching your videos after half of the course finished. Guess what I passed. I really can't thank you enough!!
@cr7neymar908 Жыл бұрын
Just finished my calc 2 class with a score of an 101!!! Crazy to think that just a year and a half ago I was in the army taking elementary level math classes at my college. Off to calc 3 to finish this off
@Nonynonza7 жыл бұрын
Easy and fast. This just saved me tomorrows final! With all due respect to the masses of hindi videos out there, I think a lot of us needed this :b
@SeriZawa77437 жыл бұрын
I have got a numerical methods paper tomorrow ... you just saved my life ... Thanks a lot
@virginiabushnell30425 жыл бұрын
I watched your calc 1 lesson 1 video this summer while tripping hard on shrooms and lsd and it motivated me to transfer my credits and take calc 2 even though I did terrible in calc 1 yrs ago., like 70% terrible. Totally understand everything in calc 2 so far though and very excited about it! Gonna watch this video later. Anyway thanks!
@seendidthegreat48146 ай бұрын
I took this course over the summer so its a six week course. Its mainly for people retaking the class. Most of the first timers are overwhelmed. I had professor leonard and ive never felt more confindent before. It feels so amazing to finish your calc2 series. After my exams it will be on to calc 3!
@-AnweshaDas-6 жыл бұрын
you're a great teacher! Thank you so much for this. It was very helpful. 💙
@georgesadler7830 Жыл бұрын
Professor Leonard, thank you for an awesome video/lecture on Numerical Integration with Trapezoidal and Simpson's Rule in Calculus. These are two classical Techniques of Integration provided that the limits of integration are provided. I watched, analyzed and take notes on all 27 videos in the playlist and the explanations are off the learning charts. Professor Leonnard, you are one of the great teachers in the classroom and on KZbin. There are few errors in this playlist and they are corrected by the great viewers.
@Iz_moe2 жыл бұрын
My professor overcomplicated this way to much. This is easy, thanks Prof. Leonard
@laforever4017 жыл бұрын
I'd kill to have you as my math professor. In academic language, if you were teaching at my unversity, and spots weren't available (for obvious reasons), I'd literally wait until the last semester before my graduation just to take you for calc 2. That being said, I don't know how to thank you enough. You've helped me A TON with these videos! God bless you!
@andreaskoutsogiannis57958 жыл бұрын
I love you PROFESSOR Leonard you're the MAN the MYTH and the LEGEND!
@RedStormLax8 жыл бұрын
You explained this far better than my college professor did in 27 minutes and he's had two lectures.
@firohd874810 ай бұрын
Prof,you are genius u give the lecture easily and smartly keep going sir I appreciate that
@fatemehasgarinejad4 жыл бұрын
You have no idea how great you explain things. Thanks!
@beoptimistic58533 жыл бұрын
kzbin.info/www/bejne/nIPchpljfL5qa5Y .
@mashfique110 жыл бұрын
thanx proessor..i have been watching your videos to get my concepts clear and every time i miss class....have to say...one of the few times internet isbeing used to gain positive learning experience and notkilling time....
@Singayak23 сағат бұрын
Thank you so much , I completed calc 2 today before the spring semester class starts, i will come to your calc 3 classes on fall break. :)
@birincitekilsahs9635 жыл бұрын
someone chews gum during class and it is very annoying but this video is very beneficial, thank you professor :)
@codewithmarwan5 жыл бұрын
You are a savior, Best teaching video on youtube I have ever seen, keep up the good work, Subscribed already
@FarisAlmaymani9 жыл бұрын
Thank you very much. I didn't understand from my doctor face to face, But I really understand all things about this from you My exam tomorrow and I really need this. Thank you very much
@petermiller56599 жыл бұрын
im from the philippines. im not around when my prof taught this coz im working. now i could go face exam tom. ty so much!!!
@dpmike328193 жыл бұрын
You’re still the man… Still enjoying your videos… even at 72 years old
@modesteakouete24733 жыл бұрын
i wouldve failed my class without your videos thanks Professor Leonard
@isaacroush26743 жыл бұрын
This video helped so much!!! I had no idea what I was doing before, but now I totally understand. Why can't all teachers be like this????
@beoptimistic58533 жыл бұрын
kzbin.info/www/bejne/nIPchpljfL5qa5Y.
@henriqueoliveira3872 Жыл бұрын
Jesus, you also do Computational Mathematics. You are an absolute legend sir. Thank you very much.
@Heldawm8 жыл бұрын
It was very clear. Thank you, from Brazil.
@user-cl6yd2wk5j4 жыл бұрын
Anybody else raising their hand and answering his questions like you're in the class and not watching it six years after it was filmed?
@MisterFusion1133 жыл бұрын
This teacher is off the charts.
@ifahad406710 жыл бұрын
the best math teacher ever .. thank you
@siamtowhid35059 жыл бұрын
You Sir is a real life super hero. Thank you so much!
@muneebow9 жыл бұрын
I swear to god this guy is the Superman of math :D
@rosukiii.8 жыл бұрын
This is awesome! Last thing I needed to know for my recovery exam. Challenges made easy
@vayneshade7 жыл бұрын
You are the saving grace that compensates for my shitty numerical methods professor, thank you so much!
@dmanola7able7 жыл бұрын
Thank you for relating this material in a clear manner! you explained it way better than my professor
@yazmingonzalez79657 жыл бұрын
I love this teacher. This is going to help me on my Junior Calc II test tomorrow
@ducky26766 жыл бұрын
Nice and clear discussion! .thank you for uploading this kind of videos it's really helpful.
@drinkgreen10 жыл бұрын
Great video. This helped with studying for my Numerical Methods final
@Ridgerunner22705 жыл бұрын
This was very helpful for my Numerical Methods class. Thank you Professor Leonard!
@zahidhussainforex6 жыл бұрын
I am from pakistan, and i love your lectures, easy to understand... thanxx
@fatih.cevahir6 жыл бұрын
Hello From Turkey. I dont speak english but I understand you. Great Teacher Thank you.😊
@ezeemmanuel75913 жыл бұрын
You are naturally born tutor. Subscribing already.👍🏻
@siyabulelamanona14385 жыл бұрын
Thank you so much Prof. Very clear and easy to understand. You’re a superhero Sir.
@alexandercervantes10785 жыл бұрын
Awesome video! I missed the lecture in class, but this was an excellent alternative and I fully understand this section! Thank you.
@xxsaifxx24507 ай бұрын
bro without you i would fail engineering what a true legend
@AnthonyGosal14529 жыл бұрын
I had a great time watching your lectures;thank you so much for posting these. I look forward to your calculus 3 series and will be sure to watch calc 2 again when the nostalgia hits!
@kirubelayele57345 жыл бұрын
you were amazing.Please keep teaching students need you much more. Thank you.
@wealthoceans73482 жыл бұрын
your the best sir!!!! This year I am going to get graduated and you were the one who helped me to cope with my applied mathematics 3 course!! Leo, THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
@fredanisi23649 жыл бұрын
Really awesome. Everything was really easy and seems to be pretty understandable. Thanks very much sir........
@victorserras5 жыл бұрын
Just explained perfectly and in less than 30 minutes what my teacher failed to explain in 2 hours.
@adeolajoy45397 ай бұрын
It was understanding to some point before I got lost and have not been able to find myself but it's a well done work sir 😊
@jeffreygomez73606 жыл бұрын
Thank you, u basically summed up n entire chapter section I couldn’t understand, nice vid
@henri1_965 жыл бұрын
PC principal is doing God's work by uploading these :)
@matthewconsidine249211 ай бұрын
Let’s make this guy a millionaire 🎉
@sangyaltsering764510 жыл бұрын
Awesome video!!! plz, keep your work continue!!!
@MarkoVrbos2 жыл бұрын
At 25:17 should be "du", not "dx"... :-D Awesome teacher, I'm watching these videos even though I got my master's 15 years ago :-D
@donyagoodarzipour57204 жыл бұрын
You sir, just saved my life, god bless you stranger XD
@beoptimistic58533 жыл бұрын
kzbin.info/www/bejne/nIPchpljfL5qa5Y.
@cinnamonspicelatte31249 жыл бұрын
Everything's fantastic! The only error I noticed is that when you do the u-substitution for the last integral (around 26:00), the bounds change when you write it in terms of u to 1 and 3, and the dx should 'change' to du, since we're taking the integral in terms of the variable u. Other than that, great video!
@angel199559916 жыл бұрын
Finishing calc 3 was sad knowing that i wouldn't have your help for differential equations professor... however, it's nice to have your videos as a review 100% every time
@girawatube23346 жыл бұрын
i loveeeee uuuuuuuu professor leonardo am gonna to be a lecture of calculus by the case of u.thankkkkkkkkkkssssssss alot.from ethiopia
@TheFunkyCriminal9 жыл бұрын
great lecture, definitely gonna keep watching
@brightfutureacademy23234 жыл бұрын
بہت اچھے سر مجے آپ کی ویڈیو بہت پسند آئی ھے
@msjahun8 жыл бұрын
prof. you're a life saver.
@Chat2Conaz8 жыл бұрын
Thanks Professor! That was legit..... very well explained
@darimuhittin6 жыл бұрын
Beautiful explanation. Thank you sir.
@TheAadiee9 жыл бұрын
Man, You so awesomely Handsome and great teacher!
@KumarHemjeet6 жыл бұрын
Don't be a gay .
@urmomdfghjkl5 жыл бұрын
@@KumarHemjeet dont be homophobic
@EugeneWasSeen8 жыл бұрын
Great video. One thing I'd suggest is sketching a graph of the trapezoidal rule to visually see where the formula comes from.
@greense658 жыл бұрын
I'm with Prof. Leonard on this one. I suggest going to the book for anything more on approximation of integrals. These techniques used to be important, but now they are much less so. Prof. Leonard just gives them a quick nod. These approximation techniques are now most easily accomplished using a spreadsheet. But if you have a computer to do that, you have access to extremely accurate integration software, and so don't need these approximation techniques.
@samisiddiqi54112 жыл бұрын
"Show your hands if that does make sense to you" I almost actually showed my hands to my phone screen.
@fafiethamae2 ай бұрын
❤thank you , you've just saved a soul from failing hahaha ... Am gonna come back with my results 🙂🙂🙂
@sameerrajput87327 жыл бұрын
गुरु जी धन्यवाद आपका आपने काफी अच्छे से हमारी शंका का समाधान किया
@mdazam54758 жыл бұрын
thank u for the video. it's really help me to learn...trapezoidal & simpson rule...
@mxkep7 жыл бұрын
Very helpful on my course in Numerical Methods. Thanks!
@karikaranvetti48974 жыл бұрын
i enjoy your lecture sir thanks a lot from SriLanka
@carl_yung7 жыл бұрын
It's been a pleasure prof. i'll see you in calc 3 next semester :)
@FancySparrowGames9 жыл бұрын
Thank you this helped me to do a home work !
@zahraarif77726 жыл бұрын
It was very helpful. You are the best! 😍
@douglaspilato72888 жыл бұрын
well explained. simple and clear. thanks professor!
@jyamijuice91006 жыл бұрын
best math teacher
@martialway10010 жыл бұрын
Thanks for the lesson. Everything was well explained, apart from the final change of substitution integral in the Simpson's method. The limits should have been from 1 to 3, as the sub. was U=X+1 not 0 to 2, in the newly formed 'u.du' integral. The answer was right, as you converted back into the x independent variable and substituted the original x=0 and x-2 limits. Not a big deal, but at A Level and degree level, you'd lose a mark or two for the incorrect limits in the 'u.du' integral. Apologies for being overly pedantic on this one. :-)
@mustafaRoya8 жыл бұрын
Thank you so much professor Leonard
@iqmahoseni42683 жыл бұрын
Thank you 😭 I'm from Nigeria and this helped thank you so much