Make no mistake. EVERYONE is good in calculus and in math. It just takes dedication and practice. A genuine, consistent effort. Your brain will literally change to make you better at math. And this video is 100% correct. Learn to visualize! it will make you great not only in math but it is an essential skill for Physics and any of the sciences

@rudinightwood437

7 жыл бұрын

Remy LeBeau Dude! You're the only person I've seen with the same profile pic.😂

@user-nj3lg7wi5r

6 жыл бұрын

I feel like failing exams don’t matter at all. I just put most of my effort on it.

@ramiroofaragon9323

4 жыл бұрын

I love this comment. It describes my own personal experience entirely. You're a humane thinker at heart.

@auxabyss

4 жыл бұрын

I've been doing this my whole life and I still can't graph and find a slope from 2 points lmfao

@NewCalculus

4 жыл бұрын

This video is mostly nonsense by an academic who has no clue what mathematics is all about. It's not true that everyone is good in math, but one can become good in math with lots of practice and the correct guidance which unfortunately is not to be found in mainstream academia.

Totally agree with professor about visualization.

I know that I'm a little late for comments, but I like to make a few points. As this professor has indicated, there are two very important concepts involved with calculus. The first, as he said, was visualization. Let me give you an example. One of the KEY ideas in Calculus is limits. The limit shows you the y-value of an x-coordinate as f(x) approaches that x-value, NOT when f(x) is that x-value. For example, if asked to evaluate lim x->4 3x, rather then memorizing that you can just plug in x equals 4 into the function f(x)=3x, you can instead try numerous approaches. Plug in x=3.9 into the function. Then try it with x=3.99 into the function. Then, with x=3.999, and x=3.9999999. Eventually, you'll see that the x value is so close to 4, that the y-value of this function can be equal to 12 (although you are the slightest bit off). Another fundamental idea in calculus is derivatives (instant rate of change at a certain x-value in the function). The formula for the derivative of f(x) is f'(x)= lim h->0 [f(x+h)-f(x)]/h. If you just memorize this equation, then you are screwed as the further concepts rely heavily on finding the derivative without this formula. Instead, try to graph your function and then draw a tangent line at that x-coordinate. Now, you may obviously wonder how a rate of change can occur with only one coordinate (shouldn't there be at least two?), but keep in mind, the formula says AS h->0, not at h=0. And FYI, h means change in x. So set h to be virtually zero, such as 0.1, 0.01, 0.0001, and so forth to see what number you approach for f'(x). Obviously you need to use a better way to evaluate derivatives, but this method will definitely get you there. Once you understand limits and derivatives, I honestly think the rest of the curriculum will be easier, because the whole unit revolves around these concepts. For example, you'll learn derivatives of exponential and trigonometric functions, which is basically the same idea as finding derivatives of functions, you'll learn how to find the antiderivative of f(x), which is basically reverse process of diffrentiation, (email me at ingenerallly@gmail.com and I can better teach you this), and much more skills. Secondly, this professor explained that calculus skills NEED TO BE EXERCISED and I cannot stress how important this is. Guys, mathematics is not like biology or social studies, where you can learn about the new stuff without remembering much of the old material. For example in biology, you don't have to know about magnification before learning about the different phylums. For mathematics, keep practicing and remembering the skills, even after you finished that unit's exam, because it may be more useful later on. Even when I finish a calculus exam, I ask myself and reflect upon what I have learned. In addition, I like to experiment with numbers and the branch of mathematics in general which further cements the concepts in my brain. For example, I alone discovered that the derivative of an odd function is an even function and vice versa. It's not required to experiment with calculus concepts, but I strongly encourage it and think you guys should do that. Asking yourself questions is a good thing, don't avoid it. Calculus isn't something you can work on like a hobby. You need to be IMMERSED in the topic. I know that for many of you university students, you may be taking calculus in the spring term, so feel free to email me at ingenerallly@gmail.com and subscribe to my channel to ask me questions, and I'd be more than happy to answer them for you. I'll be making videos from math 10 to integral calculus, so feel free to subscribe. And I know that people who will take Calculus in the 2nd semester will soon be struggling a bit, so I'll be available. In the meantime, I suggest that those of you who are taking calculus shortly preview on what you will learn and definitely master your fundamentals such as trig, logarithms, transformations, etc. A bit of information about myself: I am currently a first-year post-secondary student and I've already taken differential calculus and I'm previewing integral calculus at the moment. I managed to get an A+ in Calculus I (differential calculus) and I want you guys to do the same thing. Please join my channel and send me questions on my email. Thank you guys so much if you had the time to read this far!

@InGeneralContent

5 жыл бұрын

Oh, update, I may not reply fast with emails, so if possible, text me at+12368688579.

@InGeneralContent

4 жыл бұрын

Facetando Artimanhas for sure. Send me an email at brentwang11@gmail.com or at ingenerallly@gmail.com and I’ll provide even more ideas

@tuyenlam6538

3 жыл бұрын

Thank you

I can't just memorize, I need to visualize the concept for me to understand.Now I understand that I'm ok and that I'm not weird.

@turitiando

8 жыл бұрын

this video make me feel better

@FsimulatorX

7 жыл бұрын

SAME haha! Understanding is far better than memorization.

You can learn calculus if you really want to, just make sure you don't only memorize rules and formulas. It's very important that you actually understand where everything comes from - try to pretend that you need to figure out how someone came up with a certain rule, this will give you a much better intuitive understanding.

I like how confident this man talks it's very enjoyable to watch

Thank you for reminding me what I love about math, Physics and drawing

What a wholesome message & delivery about Calculus!

This is phenomenal! Thank you. I'm so glad I heard this advice.

Thank you for this very insightful video! I am going into pre-calculus this fall and I'm on youtube learning as much as I can so I will have a heads up when I start classes. My major is Computer Science, so I will be delving deep into calculus! I'm excited, and I am going to remember your advise and visualize! :-)

wow this is really amazing! I got the idea ! long happy life sir ! thanks

SIR: You have said a VERY IMPORTANT ***** MATTER OF LEARNING . THE MOST IMPORTANT IS VISUAL LEARNING. I will tell you something , in INDIA we learnt "MANASANKA" I am not sure still today the mother (teacher) in USA ever teaches it or not . MANS (in your mind) + ANKA (paint/ calculation ) Sanskrit word . by painting the scenario you visualize the problem and calculate it . this is done without any pencil or paper. in other words , the whole problem is visualized and gives a GRAPHIC INTERPHASE (GUI) to your learning.

this is actually incredible, this is exactly how I learned maths without even realizing it

thank you SO much opened up a brand new window in the Field of Learning....i can't wait to start applying your new mehod & approach....this is a GameChanger. thank you Professor. !!

I like it sir...

Thank you sir!

Great video, glad I found it!

I'm visualizing myself failing calculus.

@afrozabegum4086

4 жыл бұрын

U r a loser u can generalize.... Anyone can do anything

@auxabyss

4 жыл бұрын

@@afrozabegum4086 lmfao

The secret is slowing down and relaxing.

Thank you Doctor, In a few minutes you have demystified calculus for me. i am preparing to take it.

Thanks a lot sir

I normally suck in math but I had to work exceptionally hard to make As. How about 6 to 8 hours a DAY working on problems. Seven days a week. My fingers got so sore I had to buy a special pencil with a prosthetic because it was painful to hold after a while. I kept my straight As because I won scholarships so my Bachelor's was free. I eventually got my Master's degree.

I love this video

Professor of ur still alive , what u said , for me it's a theory and I will put it into use

i think i am little bit late to watch this video. But eventually i have got such a meaningful insight of calculus. we have just memorized the process of solving problem. Now i can understand why i felt demotivated while learning calculus and why our college teacher's approach of teaching calculus was so boring. this was really a helpful video. i wish i could have watched this a little bit earlier when i was at college!!

The smart thing for any Calculus instructor to do would be to present this video to his or her class right away on Day 1 of the course, right after those syllabi are distributed. Then the students could walk away from the first day with something other than the fear of potential failure and a piece of paper.

This man would make a great grandfather

I studied that book in College drawing and drew a creation of art. If only I could do it by myself, I became a good drawer and calculus.

this guy is a genius

I'm looking into going back to school to become an electrical engineer. I've spent the past 4 years as an electronics hobbyist and it's something I'm very passionate about. The only problem is that I've never been a "math person" so learning calculus seems daunting to say the least. There are some really good points made in this video. I did very well in geometry because it was easy to visualize. I think I had a very poor math foundation (starting having trouble with math as early as 4th grade) and approached it in the wrong way. You sir have inspired me to begin again and work my way all the way up to calculus. Thank you!

@Bradlee297

4 жыл бұрын

I want y go back to school too. What rescources did you use to get a good foundation?

I'm taking calculus next semester and I was so scared and stressed about it because most of the students failed calculus. The way you talk and how you explained everything made me relax and thinking of start preparing for it from now and try my best to see things visually 👌

@R_W_Goodson

Жыл бұрын

How did you perform in your Calculus classes?

@jhonnie6778

Жыл бұрын

@@R_W_Goodson great question, i wonder too

In high school, _many_ moons ago, I always dreaded the monotony of all the math subjects 💤. Mainly, do to the formulas. Well that's not true. The teaching was horrible. School was _so_ repetitive. For those of us that understood, we still had to wait for _everyone_ to catch on. So, it sucked. I didn't take calculus fearing that it was more of the same. My children are old now. I need a career change & I am looking into going back to school 🔅. My dream career involves tons of sciences. Thanks to you & your video here; I think, I might dust off my brain cobwebs & give math another shot. Also, we have the Internet now. Back in the day if you were in the middle of homework & required help, you asked your parents🤦. That didn't go well. Most parents looked at your homework as if it was a different language 🤷, (because, well... it is 🤯 ). Thank you for this. It gives me renewed hope for my future learning 💗. Well, my attitude towards it. 🤓

@sweetblackguns

4 жыл бұрын

Digitalhunny *due to formula’s. So how is your journey going so far after a year?

I wish I could get you as my teacher in engineering ...US is the best

Right thinking process u c@n solve anything

How do you visualize a math problem?

This explains why I was good at Physics naturally but horrible at Algebra. At least until I changed my gear for Math.

I'm returning to university after a 7 year gap. My highest level of math was college level Algebra/Trig, but I'm in an engineering course, so I have to skip pre-calculus and begin with Calc 1. As I struggle to re-learn forgotten concepts while I'm taught new ones, it's becoming clear to me that the learning process starts with intuition. Intuition of the fundamental concept behind a theorem is ESSENTIAL to comprehension. Without comprehension, it is nearly impossible to apply the theorem.

@andreas3850

3 жыл бұрын

Did you manage to graduate ?

@Falcrist

3 жыл бұрын

@@andreas3850 Yea. It took 4 and a half years, but that's pretty normal for a BSEE.

@andreas3850

3 жыл бұрын

@@Falcrist I am also studying electrical engineering,but things are different where i live.I am allowed to retake classes as many times and it's a 5 year program also free public uni.So i just started my 4th year but in reality i'm in second since i have passed almost no classes for the past 2 years due to a number of reasons such as obsessing about stupid things.Anyway i still haven't passed calculus 1 (i easily got through calc 2 and ode).So what do you think ? I should have quit ages ago ? Should i try ? I'm too stupid anyway?

@Falcrist

3 жыл бұрын

If you're interested in electrical engineering, don't give up. Your uni sounds like mine. Most students take around 5 years. All of us had to give caveats when we said what year we were. I ended up taking some classes twice, myself.

Trigo Calculus Integration Sum of all the regions above or under the curve while integrating trigo functions some times you get funny answers as 0 because of the wrong formula method The correct way is to divide the given function into smaller parts and add. for example take 1 for every pi/2 interval . You can take this for practice Integrate sinx from 0 to 2pi 0 to 4pi 0 to 6pi Use both methods Formula and diagram and f I n d which one is correct.

I am lost after 07:05 Calculus still makes me cry :-(. But, I still really want to learn that.

After he started the equation at 7:30....my mind trailed off daydreaming... whyyyyy won't my brain focus enough to understand!!!

Goat

Use the force Luke.

❤❤❤❤

Take abs or mod values for negative portions

I know it is an old video but I will comment none the less. I am an EE so I have taken my share of calculus, plus much more. You are correct in your advice, the key is visualizing but there is more that I think gives people problems and that is the language of math, it is very specific and if don't understand the langue then you can't visualize. The second is algebra, folk's algebra skills are weak, if there is one universal truth it is that you learn how to do algebra in calculus and you learn how to do calculus in differential equations. My advice to getting through any math course is to practice, the more problems you do the more confidents you will have.

@andreas3850

3 жыл бұрын

Did you manage to graduate ? Hiw long did it take ?

@mrkattm

3 жыл бұрын

@@andreas3850 Yes I did, it took 6 years but I worked on an associates degree in automated system and industrial robotics at the same time.

@andreas3850

3 жыл бұрын

@@mrkattm I failed calculus 1 several times, i don't know what to do.Every series problem look like it is unique and i'm unable to find how to solve it.How stupid could i be ? I also pursue electrical engineering.How did you pass your classes ? How was your daily routine ?

@mrkattm

3 жыл бұрын

@@andreas3850 First don't beat yourself up, we all learn at different rates and in different ways. I took my first 2 years of engineering courses at a community college that had smaller class sizes, also there were some teachers that were better for me than others so I did what I needed to take the course from those teachers. Other things you can do is to start a study group, I led a 5 person study group where we all worked on our homework together and tutored each other, if possible purchase the solution book for your math text books and then practice, practice and practice. I am not going to lie to you but the math gets much harder than calculus 1 before you are done, the second half of linear algebra can make you cry. The good news is that once you make it to your 3rd year things don't get any harder as a matter of fact if you learned the first 2 years of material it is pretty easy but still a lot of work but doable work. You can do it, good luck.

@andreas3850

3 жыл бұрын

@@mrkattm Can you spend some time to hear me out ? I live in europe where university is free .In my country specifically,you can take classes as many times as you like.So i am in my FOURTH YEAR but due to a few reasons like obsessing about stupid things and being easily discouraged by classes,i just quit,So after passing all my first year classes except calc 1 the second and third years i passed almost no classes.Now i am willing to try once more to complete my 5 year program since transfering is extrmeely hard.Do you think i should even bother ?

For visualization I can suggest the series "The Essence of Caculus" from 3Blue1Brown. It's amazing.

Sir, you've got beautiful smile! it kept me distracted the whole time, well, not entire time but close. Anyway, can you tell me how to visualize something, let alone complex stuffs like formula? please, I need help! urgent...

Thanks Art!

Agree

yes

Thanks man, very intresting :D

I knew their must be a trick of some kind to help your brain relax & just sort of "get it" somehow. This is the information I was looking for but even here, I would need many more examples. Perhaps because I never took a course in or studied calculus. Like what does the term "function of" even mean?

@Grifgrif

9 жыл бұрын

Om Sri Durga Thank you for the comment. A function is a relationship between numbers such that given any number in the range over which the function is defined, you can calculate that related number. The function is defined by an equation or an algorithm that defines the relationship. PIcture this in your mind as a way to map a set of numbers into another set of numbers. You can display the function on a graph on which a dot appears everywhere the first and second coordinates of the dot satisfy the relationship or function. The words get complicated, but the visual understanding is so very simple.

@sidescrollin

9 жыл бұрын

Om Sri Durga If you don't know what a function is then you probably haven't done much math. If that is the case I would argue that you are perfectly capable of understanding higher levels of math, you are just shutting yourself out. By looking at something that you don't understand, you assume it must be complex and difficult, just like trying to figure out the definition of a word in another language without context. All of math is learned in a very step-by-step process, and nearly everything before is necessary to proceed forwards. You just need to start at the right point.

I thought this was calculus with class 🍸

Thanks for sharing this information.

I love you. I learned to draw from that book. And now I can DRAW.

3:21

Great advice and now to get that A in my calculus class lol

We used to have a grey cat.

Meh he's so right: memorizing trig values is no big deal, but memorizing products and other trigonometric objects derived algebrically is very cumbersome.

Im taking algebra-2 this year, for my freshmen year mathematics naturally just came to me, i have never recieved under a B.

I think an important thing to keep in mind when dealing with any math is what you tell yourself mentally. Those people that say "I'm not a math person!" or "math isn't for me" will be bad at math, period. This isnt because theyre actually not "math people", its because they just set the bar in their mind too low. Now that they've told themselves that they're innately bad at math, they won't make an effort to get better, which just leads to getting worse. I'm in engineering so most of the students I'm with are good at and like math (otherwise why would they be studying a subject revolved around math) but some subjects like Political Science might require you to learn math, and in those cases the students just say "why do i need to do this? I'm not in -insert subject that requires math- ". The main thing, other than visualization, is to set the bar high. EVERYONE is good at math. Our brains are not wired to be "bad at math", otherwise we wouldn't have come this far. Engineers aren't geniuses (a lot are but not all), they are just curious. Mathematicians are curios. They wonder "what if" and try to figure stuff out. If you're first reaction to math is "ahhh shit not this again" then you OBV won't do well. Anyways, good luck to anyone taking calc. Try to picture everything. Its actually very cool, and as long as you are a human being you are not "bad at math" you just havent dedicated enough time to it yet.

THANK YOU!!! >.O I like math. I like math a lot. The problem is that teachers just want you to M... all the up way up to Calculus and beyond, and I am a default V. I see the equations, and when teachers don't explain what the !@#$ I'm seeing, I have no idea what they're saying because I don't have an M skill ANYWAY. All my "M" is tied up in visualization ANYWAY! (What's your phone number? Well, it looks like a specific shape on the keypad...) Yeah... :'( I want to show this vid to everyone.

nice one man, cheers for the alternative interpretation of the subject, enjoy your retirement!

Everyone may learn to draw, but not everyone is going to be Rembrandt, Da Vinci, or Picasso, as is the same in mathematics; not everyone is going to be Euler, Gauss, or Riemann. 

@Grifgrif

9 жыл бұрын

Joshua Amor I certainly agree with you Joshua, although I often wonder how many Euler's etc. would we have if so many students did not get turned off to calculus by the math teacher who thought it was enough to write a theorem on the black board and prove it. I have been trying to get Dr. Dimock to do this same type of presentation on visualizing organic chemistry, the subject he taught at the University level.

@julioequinones

8 жыл бұрын

+Grifgrif thank you for this insightful video.

@nidurnevets

8 жыл бұрын

That is true of every subject. Not everyone is going to be a great pianist, but they can become a competent pianist if they work at it in a good way.

@mpcc2022

8 жыл бұрын

nidurnevets​ True, but my comment was meant to point out that some are born with innate ability, and are greater suited for some domains of knowledge than others, but the the proposition that the ideal of equality and fairness particularly in education means that everyone is the same or has the same potential is nonsense to me, and not what's shown empirically. That's the only point my comment was meant to raise. 

@nidurnevets

8 жыл бұрын

I agree with you that we are not born with the same abilities. My father was a violinist in a major symphony,as well as a capable pianist. I was around a lot of musically gifted people when I was a child. Some were at the very top levels in their particular instrument. I spent 34 years as an orchestra teacher in the public schools,and I am continuing to teach private students. It is very apparent that some people have more musical aptitude than others. But,I'm sure you'd agree, the purpose of teaching music to kids is not to look for the next musical genius. It is to add to the child's education. I think children should be exposed to a number of things, and then,as they get older, they seem to gradually narrow down their endeavors to those they are interested in,and talented for. Expectations should be high, because when they are, it is impressive how well many kids will do. I am studying math, on my own, just to improve my understanding of something I find interesting., but has never come easily to me. Pushing my brain in directions it usually does not go, has helped me in other areas of life. It has taught me more about the learning process, which helps me in my own teaching. All the best!

LOL this is like an infomercial

地球の楽曲 ♫ Serenade Homepage

Visualising the Earth spinning about the heavens? Rather ironic, isn't it?

See no ones born with math skills they are grown

If I ever feel like someone is reading while talking to me through a video, I get distracted by their eyes flowing back and forth, reading..... it feels... impersonal.

visualize - but what if the earth is a plane not a planet?

Is he still a life?

:D

Very stupid idea, if you do that then you make it much harder for yourself. Instead keep practicing whatever problem you find hard until you can solve it, even if it takes several days.