You’ll love this story. I dropped out of my first year of college with terrible grades.. I took 4-5 years off and worked as a dish washer.. I eventually decided to give school another try, however was worried because I had forgotten EVERYTHING I learned in high school. However, I woke up each morning at 6:30AM and watched your lectures for hours and hours and eventually received As in both calculus I and II, graduated magma cum laude in neuroscience, did well on my MCAT, got accepted into medical school, and will start my medical residency in July.. Your videos genuinely helped give me a free resource that allowed me a second opportunity at success. I have no idea why these videos popped up in my feed all these years later but seeing your channel is so nostalgic
Good story very inspiring. God bless currently a freshman trying to graduate in 2.5 years using professor leonard to get ahead and supplement my journey
Wake up early and study consistently daily with no exceptions, just make it a non negotiable component of your routine and your efforts will be appreciated @@istoleyourwalletwhileyouwe4717
reading this inspired me, do you have any advice on doing well in school? *I'm a freshmen in uni, about to take gen chem, physics, calc 2 next semester, and I'm worried.*
Rectangle Method of Area under the curve 1:50 Anti-derivative Method 11:20 Finding formula for area from f(x) EXAMPLE 19:00 Area under the curve EXAMPLE 2 26:15 Indefinite Integral 42:00 Basic Integration Table 1:00:20 Properties of Integrals 1:25:15 - The constant, C 1:27:40 - trig function problem 1:42:20 - algebraic manipulation 1:46:20 - Undoing a derivative gives you the integral 1:53:45 Equation of the curve for a specific constant, C 1:55:50 Introduction to Differential Equations, initial value problem 2:00:00 Initial value problem Example 2 2:14:00 Anti-derivative problem 2:17:00
Professor Leonard, I can't thank you enough for the help you have given me in algebra and calculus. I returned to school in engineering after 15 years at the age of 46 and your online classes have saved my butt. When I graduate, you will be invited to my graduation, since every one of my professors should be there. Thank you so much. ~ Kristine, Windsor ON Canada
Lol. Cpa and lawyer. Thinking of getting a similar degree just to prove I can. These videos have helped tremendously if only we had all this in the 80s, yes that’s how old I am.
I'm on the same path but I'm aiming for Computer Science, he made me realize I'm not dumb after so many failed attempts at higher level mathematics years back.
*you are one of the best teacher I've ever met in my entire life. your ways of teaching are so descriptive and easy to comprehend. Can't say it all how I love you man!!*
I enrolled in an online calculus course and I literally don't read any of the content anymore. I just read the title and look for the content with Professor Leonard. So far I'm getting A's!
@@tylerstanton494 I have copies as well. I downloaded everything videos he ever uploaded (each playlist has its own folder) and I backed it up on one drive, an external HD and google drive.
@@bernd8608 Considering how passionate Professor Leonard is about teaching, I highly doubt that he will ever remove these videos. But I understand what you mean.
The student added 256 instead of -256 and got the wrong height (784 ft). To help with the +c dilemma; remember that there is always a constant in your function. y=2x^2 has a constant and it is +0; we just don't write the invisible 0 for the same reason we don't write powers of 1 or multiplications/divisions of 1 (it's redudant).
This should be higher up. I think they forgot that the first component is: negative 16 * (t squared) As opposed to (negative 16*t) squared I try to use extra parentheses all the time to not forget this
Absolutely magic. When I was in High School, I stopped taking Math at Algebra 2 because I had enough credits to have a free period or two in my senior year. Big mistake. I chose Computer Science Major in University and hadn't had any classes in almost 20 years. That said, I jumped-in anyway. With the introduction of Calculus, your videos have made things so much easier for me to understand than just reading from a text book (online courses for me due to my job). Just started Integrals today, and when you put the area function on the board, I immediately saw the derivative and really, my mind was blown. I really enjoy watching your videos and they now come highly recommended to my classmates, coworkers and friends as it breaks the concepts down and drills them into your head. If you asked me in High School if I'd ever take Calc, I'd have said, "Fat chance. Too complicated." You've broken that idea for me. Thank you!
An easy way to memorize whether you should put negative/positive sign for cos/sin when you integrate/derivate is following the clock direction on unit circle with cos/sin axis, so when you derivate you move clockwise (from sin ---> cos---> -sin ---> -cos and then back to sin), when integrate you move counterclockwise (sin ----> -cos ----> -sin ----> cos and then back to sin again). Hope that helps
I was nervous going into it, but I've really enjoyed Calc 1 this semester and I am holding onto an A in the class-your videos are definitely a big reason why! Thank you!
For a person like me who made the mistake of taking calculus online, this is the most helpful thing I have seen so far!! Please keep uploading more videos, and add more (harder) examples in the videos.
I like this guy cuz he seems really nice and when his students say something that is wrong he doesn't belittle them. Plus he is so clear with his explanation. Step by step is exactly what I need not ill skip the next 5 steps cuz I assume you know this. Absolutely perfect video.
I mean this in the best way possible, you teach calculus in such a way that even a person with an IQ of 70 could understand, that is, anyone who can learn to speak a language could learn something as complex as calculus when taught this way. That's not to say you teach it at a low level, rather, you minimize the abstractness by introducing concepts and notations concretely through worked examples meanwhile gradually introducing more abstract ideas before ultimately explaining the general mathematical theorems in all their glory. I've never seen such thorough and comprehensive instruction, you manage to do all this without introducing any inaccuracies as well which is amazing. For someone learning calculus 1 or 2 for the first time, my recommendation would be to first read the book "Calculus for Dummies", then watch Eddie Woo's entire playlist for initial exposure at a high school level, followed by Professor Leonard's videos, and finally the MIT's playlist of video lectures on single variable calculus. The final step would be to pick up an actual calculus textbook, read through all the pages and work through all the problems. All this can be done in the span of one summer prior to taking a calculus course at university. If you do everything I said before actually taking the course in person, you'll be able to follow everything in lectures while asking meaningful questions from your professor in person. Even a moron could pass this way.
Professor Leonard I freaking love you. Your lectures feels like Im part of your class. Answering things that I would have never know from my teacher. THANK YOU SO MUCH.
Nice teaching so far. It helps the students quite alot when the professor asks them the same questions they have in mind. That, is teaching; being able to know and tell well when the student is/gets/will get frustrated.
Prof Leonard is taking me through what my poor professor can't. I was so confused until i watched this. 12 minutes in and i feel like a light switch went off in my head. THANK YOU!! you're doing the lord's work.
You are amazing , professor. People like makes the world better place, because you share with us something priceless - knowledge. And you don't just spit it out like most of the lectors - take this, do this and this is the result. You are explaining by the way, which is fascinating and understandable - which is the most important. People like you can make the majority of students to really understand math. Thank you from the distant Bulgaria and thanks in advantage for the exam that I will pass excellent, I hope, because of YOU. Be well, healthy and blessed, Professor Leonard.
My Gosh, its so obvious everyone would conclude the same thing. Clark Kent = Superman = True Mathematics Professor who really knows how to transfer this special knowledge.
One of thing that I really like about this professor, Is he care about his students and he always want them to energetic and love the calculus as he do. Best Professor.
So, there I was mind melted at about 42 minutes in and he said this was just an introduction. I checked the time on the video and had a mini break down🤦♂️. Thank you for the lectures though. They are getting me through calculus. I feel like my college math classes are a scam and my tuition should be going to Professor Leonard.
Thank you SO MUCH for all of your calculus videos!!! Seriously, I can't thank you enough. You explain things so well and answer questions before I even have a chance to think of them. I wouldn't be passing my class without your lessons!
This man is an absolute legend! He really has a great understanding of the concepts which combined with his great ability to teach makes calculus significantly more understandable.
+Professor Leonard. Really appreciate the videos you make. I'm currently in Calculus 2 in college and finding my teachers very knowledgable on the subject but can't teach the subject very well in a class setting. I went back to the basics in a lot of my cal 1 to brush up and even taking calculus 1 a year ago the videos you provide in details are great like the back story and the true reason behind why we integrate and take the derivative because i was never taught them. I never fully grasp the concepts of Integration until this video so keep doing what you do you're an awesome teacher!
man you don't know how much you helped me , you just opened doors for me ! thank you very much you are a great teacher you are like aristote in his era that's how i see you ! thank you very much !
This prof Leonard guy does teach math from a human to human.... never been to such one until now. Thinking seriously that my teachers are aliens, or at least not speaking the same language as I am! Thank you so much for your lectures. Greetings from Iceland.
272 ft high. your students dropped the negative sign on the first term. did anyone get a final answer for when it will land on the ground? if you set the position function to zero, you get: 0 = -16t^2 + 128t + 16. factor out -16, that gives you: 0 = t^2 - 8t - 1 that is nasty and equals -0.123 and 8.123 seconds. you would obviously toss the negative. you can only solve it using the quadratic formula, which is particularly painful. Just curious.
to find out when it hits the ground you will have to set the position function to -16 since the launch was 16 feet above the ground. you ll have to solve for -16t^2 + 128t + 16 = -16 which gets you t=8 and t=0
Your quick but intuitive explanation/proof, that a(x)=a'(x) really helped me wrap my mind around this concept. Before hand just seeing a(x)=a'(x) I couldn't possibly see why, but now I understand. Thank you!
Amazing video! I read the chapter in my book about indefinite integrals and didn't even understand the purpose of anti-derivatives. This lecture is so well done. Great job! It's a pleasure to watch these lectures.
love you man. love you so much. i can't explain how thankful i am... your videos helped me to learn integration, in 3 hours, what my previous teachers couldn't do it in 3 years...
if you are wondering why 6 became 6X. it was always 6X but it was like this 6X^0. any number with a zero power is 1, and (1) (6) = 6. any number with a power of 1 is that number 6X^1. 6X^1 = 6X. You usually think of powers until squares (X^2), but ^0 and ^1 are there. you can have only one constant because C is where a slope crosses the Y axis or the imaginary plain.
I was going to wait till the end of the playlist before I commented unlike your precalc video. But Professor the catapult exercise has to be my favorite from Calculus 1!! So far thank you!!!
You have helped me so much in my online Business Math 2. Because of your helpful videos, I have been able to concur my fear of math and I have an A in the class. THANK YOU!!!
IMO the pacing and explanation were good. Explanation clear, but deliberate enough that the viewer had time to digest the information and follow along. Appreciated that the prof made sure that there were several examples of how to arrive at anti-derivative. Well done, IMO. Plus sound level was good, other videos have prof talking too fast in a room that has too many echoes. Even if they know the subject, the video prevents student from hearing it. Good work.
I have already finished Calculus 1, Calculus 2 and Calculus 3, but I am still currently watching literally every single video for those courses with Professor Leonard, lol. I have forgotten a lot of this stuff, and several of my current courses have Calculus 3 as a prerequisite (like Dynamics and Continuum Mechanics, for example).
Thank you for these videos! I only got a C in calc I ! I have and am watching your videos preparing for calc II that starts in 3 weeks! I'm striving for a better grade next time! Thanks again!
Professor Leonard, Thank you so much. I hope there more professors like you. The topics were difficult but made easy: in a way that every topic is not overwhelming and easy to digest. and of course, more examples. But what I really appreciated is how you tried your best and made every lecture exciting. hyping it up really helps. Thank you so much. please live a long, happy and healthy life with your lovely family so that you may continue to educate more students. This is really the best. Most importantly, it is free.
LEONARD on your last example catapult 2:29:00 i have question, why that wouldn't be -32+ C? Why there's no C (constant) when you started to "undo" the function? It's because as i see it, it came C when second antiderivative is done. Maybe some explanation on this. Thanks much.
I bought "this" special Calculus book, [the first alphabet of the book’s author is ”T"]....it cause me US$60....which convert to Ringgit Malaysia around RM260…because of this beautiful subject and taught by you, I have bought it :-)
