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Calculus is not something to you “make it through”, it’s a journey of genius that you rediscover.

+ in my country we don't choose subject to learn we got 13 main subject you must. by the way getting below 50% to pass from any subject willl fail you 1 year

Thanks man

Same with music. People say it’s hard, but is it? How hard is it to push a key down on a piano? A baby can do it. What’s hard is managing your impatience.

Calc 1 is all fun in games Calc 2 is when you cry

I went from gr10 math to first year calculus at Waterloo University in 14 months. I took 8 courses in Calculus in the engineering program (Differential Calculus, integral calculus, first and second degree ordinary and partial differential equations etc). Years later, I would actually have nightmares about being called by the University telling me I failed 4th year Calculus and had to repeat….but I was married with kids!! After all this, I never REALLY UNDERSTOOD Calculus until I taught it in High School. Sir Isaac Newton, RIP 🐐

Here is a more realistic approach 1) Do not take calculus unless your arithmetic, algebra, and precalculus is razor sharp. 2) You will need to know how to use a scientific graphic calculator also. However be prepared to take an exam without a calculator and putting your final answer in reduce exact form. No decimal approximation. 3) The average full time college student doesn’t have the luxury of spending too much time on one subject. Spending too much time trying to learn basic fundamentals that has nothing to do with calculus will cause you fall behind in other classes. Resulting in a low GPA. Sometime even repeating the class for a better grade. This is why #1 and #2 is important. 4) As a college student declaring a major, it’s important to know your strengths, and weaknesses before stepping foot into a classroom. Otherwise you will be throwing away a lot of money, that you will have to pay back. Hard work doesn’t always pay off if your fundamentals is shot. 5) Finally, once you are taking calculus because #1, #2,#3, and #4 is satisfied, be prepared to teach yourself because, most professors focus on proofs and graphs. Leaving the student confused on what’s important. 6) Don’t have a lot going on in your life. College is very unforgiving about your personal life. Calculus is your first advance math class and requires a lot of time commitment and will be a prerequisite for other classes. 7) Good Luck My grades Cal 1 = A Cal 2 = A Cal 3 = B+ Differential equations = A

Don't be impressed with the greek letters. They're just a symbol telling you to carry out some basic instructions. And when you memorize the instructions it's easy. Then you get to feel smart 😉

This guy is so smug and vain. His manner is terrible. Moral fop. Opinionated left-wing clown.

The secret I'm discovering is read it more you know it more, and reading can be fun or atleast very manageable and always take breaks, let your mind wonder and let it come back. Start reading early on so you'll have tume to read at your pace, use music if you can(its a skill you can learn, music can make reading very fun) and be calm

I’m 71 and still working as a mechanical engineer. I have 25+ US and foreign patents. I’ve made millions of dollars on electromechanical inventions, and employment, etc. Not once in my 50 year career have I needed to perform calculus on any project. The practical side of engineering is that all the engineering data you need has been long developed by weirdos who love math for what it is. But, you still need to pass the Calculus courses in college to get the degree. In my opinion, engineering education should be more geared toward practical engineering. I’ve worked with MIT and other mechanical engineers who know calculus, but don’t know nuts and bolts and other practical things.

Good, now tell us how everything comes from nothing, (:

My calculus exams were written in 'blood' 😂 😂

I’m taking Calculus next semester. If I pass I’ll throw a party, invite everyone, and twerk :)

Most of Calculus was a total waste of time. Integration by Parts. Integration by Partial Fractions. Etc. The basics are all I ever found useful… derivative being the instantaneous slope of a curve and integral being the area under a curve are vital. But all the ridiculous methods to solve specific equations which you can just look up. I’ve been an engineer for 30+ years. They could slim down calculus from two quarters to about 4 weeks. Unless you are going to be a physicist or mathematician, the rest is a waste of time.

The bomb is calculus which definitely looks devastating . the gunpowder inside it is algebra which most people struggle with

Neil DeGrass is AWESOME!!! I love him!

Walter Rudin's Real and Complex Analysis is pretty formidable.

Good advice

Starting Calc 1 tomorrow 😂🕺

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As a former university student and employee of the most notorious jet engine manufacturer in the world (guess and you’re probably right), the summary is that calculus is a scam. Yes-how sad how much effort goes into finding objectively inaccurate values with theoretical explanations in this so “enlightened” study. Ha! No wonder why Nasa or Tesla never made it to the moon. 🌈 The whole intellectualist narrative of modern mathematics has proven to be nothing but speculation and guesswork, almost all of which never created the Golden Gate, Statue of Liberty, Twin Towers, Boeing 747 or _anything_ relevant in the modern engineering world. Thank the Lord Jesus Christ that I am now wealthy and successful _without_ having this kind of conflated ego, wild assumptions and epistemologically baseless philosophy. Instead put your faith in the resurrection of Christ, and not the arrogant speculative works of eloquent dead men. ❤

TH-camrs like yourselves deserve the credit for me getting my college degree!!

This is how I explain it to myself: You didn't need to learn all the rules of the English language and all the words in the dictionary before you started to communicate using the English language. But the more you used it, you learned more of the rules and the word. So just start from somewhere and go with it.

As far as IF you choose ".99..." to represent 1, then it is not a good choice. Basics in decimal based representation of real numbers, ".99..." looks like a real number. Real number integers in decimal based representation should have no non-zero digits to the right of the decimal point. Rational numbers are the ratio of 2 integers. Then ".99..."/".99..."=".99..." a rational number? What about the sum of a infinite geometric series?? The sum of any infinite series with all terms >0 is questionable and is only defined by a limit. The sum of any 2 numbers >0 is > either of the 2 numbers. A infinite series of >0 terms is strictly increasing.

KC, note that it is disputed that your 10^n*N=N.(N). Basically it could be said that n 0s are missing. Using infinite numerals in arithmetic is mostly inaccurate. 10*".99..." does not equal "9.99...". Further the discussion is whether 1=".99..." which is related. ".99..."/1 is not rational and 9/9 is 1. ".99..."/(9/9)=".99..."*9/9=".99..."

Calculus was taught routinely in high school.

OMG I've just seen the last few seconds of your video where you finally admit that 0.999... is just another representation of 1. That's right, that's exactly what it is. So you scored a home goal. LOL.

All you've done, in your nearly 9 minute video, is to inexplicably repeatedly assert that 0.999... isn't 1. You haven't presented any arguments to justify that deIusionaI belief. You even seem to be aware of it, yet you decided to publish the video despite knowing that. That's weird.

At about 3:38 you asked for two integers whose ratio is 0.999.... The most "natural" ratio is 9/9. In fact proof wiki shows how to do a delayed long division procedure in order to derive 0.999... from 9/9. Obviously you are trying the good old appeal to personal incredulity fallacious argument there. Here's an loosely related semi general argument (that you'll hate). Let 0.(N) represent the n digit string N being repeated. Then: 10^n * 0.(N) = N.(N) = N + 0.(N) => (10^n - 1) * 0.(N) = N => 0.(N) = N / (10^n - 1) Note that 10^n - 1 as a decimal is an n digit string of 9s. Note that N and 10^n - 1 are natural numbers, so 0.(N) represents a rational number. So 0.(857142) = 857142 / 999999 = 6/7. I personally like 0.(9) = 9/9 = 0.(99) = 99/99 = 0.(999) = 999/999 = 1/ You'll hate it because you'll see it as blasphemy.

I took Calculus BC in highschool. Failed out and had to drop to calculus AB, just barely passed the class, but did well enough on the AP exam to test into Calculus II in college. Just before that, I had read a book and talked to an academically gifted Asian friend of mine, and learned some tricks to excelling in Math courses. It was much ado with allotting 20% of time on lecture notes and topic reading. But up to 80% of time on practice problems. At the very least, completing all the required homework problems, then maybe some extra for practice, and going so far as to correct the problems you can if you happen to have a solution manual or answer page. I grew to freakin love calculus, going on to Ace Calculus II, Calculus III, Ordinary differential Equations, and linear Algebra. By applying the same technique, I also managed to Ace Chemistry I, II and Physics I and II. I say all that to say this. Its just too bad all that science and higher level math teaches you squat about making money and building wealth. lol! It was fun though.

No lie, i took my first electro dynamics physics class. I opened the book, and immediately thought "im fucked" and started crying 😅😂😂😂😂.

Ngl I learned sigma pi iragan or something like that in 2 days in fourth grade am I average smart or genius

Calculus is easy. The hard part is tensors and other stuff...

Math, and by extension, calculus, isn’t all about ‘equations’. It’s all about Definitions, lemmas and theorems. Sure, integrals and derivatives require practice but one also needs to understand the theory behind a derivative and an integral.

Mathematically, calculus is easier than Algebra II When people say they are struggling with Calculus, what they REALLY mean is that never actually mastered Algebra (particularly factoring etc.)

banger upload thank you mr arrington 🗣️‼️‼️

You must understand the concept of the limit in order to understand calculus

Don't forget you also need a teacher who knows how to teach. In college I took calculus which consisted of the TA spending 40 of 40 class minutes writing equations on blackboards for us to solve. Needless to say, it was only course in 4 years I got below a B. I failed it.

im older now and my opinion on neil degrasse tyson has changed i think hes awesome

I've taken calculus 1 a total of five times and I've passed only once. I don't have the results back yet from the final from this latest attempt but I don't think I'll pass this time... I understand the concepts pretty easily, but what trips me up is remembering the exact procedures by which to use the different tools to solve the problems.

Cram

As a student currently learning calc, I couldn't agree more with the statement that the equations and formulas become his friends. They are shortcuts, without them, calculus would be so so so much harder and time consuming. Imagine every time you want to take a derivative, you go through the limit definition process, it would be a nightmare

I love this! I don't understand every single bit of calculus, but I am reading and accumulating books for self teach

💡 both

Neil your amazing homie

What a useless story

I love you (not romantically). But I truly do. 😊

I started to understand the equations they use for rocket science lol!!

Neil deGrasse Tyson RAPED his graduate student and needs cancelled not stanned!