Are You Smart Enough To Study Math?
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- เผยแพร่เมื่อ 26 มิ.ย. 2024
- In this video we discuss studying mathematics and intelligence. Do you have any thoughts or advice for people? If so, please leave a comment below.
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Thank you:)
“It all eventually starts to come together” that’s the key statement. I did not have a great math education from K-8. My teachers were not great and my parents could not really help. My high school teachers were good, but I was too far behind to catch up. I squeaked by. In college I got good enough to pass the required courses, but it wasn’t till I started self study that I really come to understand and make sense of advanced math. It all eventually came together
That's so true I was studying and studying for the test and, I was able to do the questions. Everything just clicked and everything was just free flowing,
A study which investigated child prodigies in maths, art, and music found that their IQs ranged from bang on average to multiple standard deviations above the average. The study found that the most important factor when it came to child prodigies was the so-called “rage to learn”. If you work hard at something for a long period of time then you’ll be able to do it eventually. Ernest Shackleton said “Through endurance we conquer”, Calvin Coolidge said “Nothing in this world can take the place of persistence”, and Casey Neistat said “Persistence and endurance will make you omnipotent”.
There is nothing more common than unsuccessful men with talent. Unrewarded genius is almost a proverb.
The reason why that that 12 year old can play the violin so well is because he started when he was 2 and he has devoted a decade of free time towards practicing. What could you accomplish with a decade of focused effort? The time is elapsing anyway, you might as well do something with it.
PS: You actually learn faster when you enjoy it. The dopaminergic system is tightly linked to the way the brain learns and acquires new skills. Find a way to enjoy something and you cannot possibly lose.
Whats the name of this study?
@@Pentazoid111 Cannot remember the name of the study itself, but it was conducted by Ellen Winner (which is a fun surname). She has a PhD in developmental psychology from Harvard and has written several books on the topic. A very interesting person!
@@bartholomewslump9597 It is a cool surname
@@Pentazoid111 Sounds made up.
@@bartholomewslump9597 is this the study? www.journalofexpertise.org/articles/JoE_2018_1_2_WinnerDrake_earlyview.pdf
I m 62 retired doctor and I start learning math from scratch again because I want to understand more just for myself and it s just fun for myself......
Did you have much math in medical school? I want to be a doctor, but Im worried that medical school have much much math.
@@milosstamenkovic465 don t worry, I d figure you can get by with high school math
I don't think intelligence is dictated by what we do when we are young.
This is the greatest misconception we have as a society, that if you didn't do well in school when you were young, then you are just not smart.
A more accurate way to describe it, would to be to say, education was not your focus when you were young.
There are plenty of intelligent people who do horribly in school when they are young, simply because they chose not to make education their focus at that time.
There are equal amounts of cases where kids hyper focused on their studies, lose focus on their studies later in life because they are forced to focus on aspects of life they spent no time on in their youth.
The intelligent person who chooses to focus on other life aspects early in youth and then transitions to focusing on education is actually much better prepared to take education to the maximum level.
Where as, those who only focused on education in their early life can often get derailed more easily as they have less life experience.
The only reason we place so much value on high achievement in education in early life is because we live in a diploma mill society, where the sooner you can grind out a diploma, the more earning potential that person has.
You have to remember that university, hundreds of years in the past, was seen as an old mans activity.
Many would get established in life first, then study once they were established.
Modern society has tried to flip that on it's head and it leads to failure more times than success.
Perfect explanation. I pretty much wasted my college days and learned to navigate the hardships of a broken family and dysfunctional childhood. Learned to stop blaming myself and others, grinded my ass off, got a good job. And now at 26, I feel like I'm as ready as I'll ever be to take up a graduate degree in Applied Math
Making groundbreaking breakthroughs and working in extremely demanding jobs might be mostly for geniuses, but learning math and using it as a tool is definitely for everyone. I know this from personal experience.
I'm a high-school drop-out. I got my GED at 29yo. Currently 30yo. I only became interested in math in my late 20s. Started learning math seriously less than a year ago. Currently learning calculus 1 and doing perfecly fine.
Based af, keep going, friend
One of my student jobs, when I was in engineering school was tutoring welfare moms in math. I could raise their grades two grades by simply teaching them a simplified form of a linear proof, and teaching them to think about the steps in solving problems. All of them could do arithmetic. Their problem was always that somewhere in junior high, they had teachers who didn’t know math, and they got lost. Math was always easy. The rules always applied. English was hard because every rule has an exception.
I’m an engineer. Math is a tool I need to do the engineering, so I learned math. When I was in my final required math class, differential equations, I told the professor that I would never use it, and all I needed was a D to graduate. Three months after I graduated, I was trying to solve issues with placing smooth pavements. And it turns out that I ran head on into a damped sinusoidal curve. Had to dig out my diff eq book, and review it to solve the problem. I sat down that night and wrote the professor a note apologizing.
Oh wow, you started college at 24? I'm 26 and just getting out of the army (not US). It'll probably be really weird studying alongside the 18 year olds, but what the heck I'll do it for myself.
I'm 32 studying alongside the 18-year-olds. Though you'll be in the minority age group, it's not weird. Education isn't only for the just-out-of-highschool crowd.
I am 27 started at 26. I study mathematics with 18 year olds. But there is a 46 Year old guy in class with us. Age does not matter in mathematics. It's even better to study late, because You are not as stressed at exams as young guys are.
I went back to engineering school at 32. It was fine. I was finally at the point I had decided the engineering degree was worth the effort.
Im 34 at my senior year for mathematics. Having a baby face helps though
Don’t worry about it! I went back to school at 35 for a math and physics degree and I surpassed all of my expectations! Believe in yourself and have fun!
As Chef Gusteau says “Anyone can cook, but only the fearless can be great” math can be hard but anyone at any age can get at it with practice
In school, I was never good at maths, but I do remember a short period when I, as if suddenly, started understanding stuff. When I dug deeper into that memory, I had a revelation - it was a period when I actually practiced outside of homework for whatever reason. My quick downfall was realising how much work it took me to understand maths a little bit, and I wanted to go play with my friends, so, friends won in the end... I was always good in logical puzzles and those pattern recognition tests, the ''what's the next number in the sequence'' type. My only big moment was solving a problem in maths class by using pure logic (in my opinion), no formulae whatsoever. I remember my teacher looking at my whole sheet of writing (it was supposed to be a really short answer) and telling me ''this is correct, but I don't know how you came up with it''. I felt like a superhero.
These are some serious, down-to-earth, humane, and beautiful thoughts you share there! Thank you!
I would like to add my two cents, for anyone that would like a new endeavour, math or otherwise (pointing at myself as well!).
It's only natural to be wondering if you are smart enough. In a sense, it's like wondering if the game you are about to play has "easy" as a difficulty options.
If it does not, shouldn't you still play the game?
thnks.
As someone who struggled with math his whole life it just takes time. I’m recently trying to join the military but in order to do that I need to pass the ASVAB test long story short I failed horribly on the ASVAB test I remember my recruiter just ghosted me after seeing my score. I almost gave up on trying to join the Army but after feeling sorry for myself and feeling stupid I just kept studying what I needed to know and watching a few TH-cam videos about math and arithmetic reasoning I started to get it eventually it just takes baby steps and consistency.
I love you ❤ you are the one pushing me towards research
Same here!
so grateful for the daily encourage the Math Sorcerer provides. Math is indeed hard, but you give me the motivation to keep pushing forward.
Thanks for posting nearly everyday, I’m really thankful for the daily realistic motivation!
Going to do an applied math masters in a year or two after I’m done catching up with most of the things in “All the math you missed”since I just graduated with my computer science degree!
Damn, next year i'm going to be 24 years old, and i'm not in college yet, i really, really want to go to college and study math, and be a teacher someday, but i feel i'm SO, SO behind, not just with math, but with life. I need to make a test to pass in a college, but i just can't stand to study the other topics besides math, so i failed, (i only tried the test once) maybe i'm lazy and also lack the ambition, but i know if i go to college, i'm going to do good. I plan to stop trying to study by miself this other subjects, and do a course where they teach exactly those subjeccts to pass in a college, i really hope there's hope for everyone, and even for someone like me, God bless you Math Sorcerer, and everyone.
Mr. Math Sorcerer, thank you for your insightful perspectives and stories about realities regarding top students and comparing oneself to others. Your insight on how math can bring someone joy through practice is something that speaks great volumes. I just finished Grade 11 Functions and I found that through struggles during the first beginning of the year, I wanted to finally change my lacking mathematical perspectives. (And still do) I found that the more time I spent finishing homework made me enjoy mathematics as a way to exercise weaker parts of my brain. At the end quarter of the semester, my mark had stayed at 85% for every future test, quiz, assignment, and final exam. EVERY assessment was an 85% because I began to perceive speed as understanding content more clearly. I realized I had lost my original vision of understanding, and I want to spend the summer fixing gaps in my learning as I wish to become a strong thinker.
Again, thank you very much for your insights and use of storytelling - it is very memorable and enjoyable to listen to and remember. I hope I can become wise and perceptive like you during my mathematical journey. ♪( ´▽｀) Please continue sharing your insights〜
The kind of insecurities you talk about are so overlooked in society, I really appreciate the encouragement you give to people, as it is something very rare to find in college and academia. Thanks for addressing this topic, it's reassuring to know that there's other people that find math hard even though they like it a lot. Wish the best for everyone, keep studying!
I don’t need to be smart. You said it yourself sir. You have to outwork those who coast through and I know I’m too stubborn to give up. Your channel showed me how useful and what math is applied to in the real world. Keep posting because your math book recommendations for engineering are on point. Is there an engineering book for undergrads that goes over the mathematics they need to know? The one you posted called “All the Math you Missed” is for graduate level but it looks like an excellent book to buy anyway. You’re enabling my book purchasing so please keep posting!
true.
I say that a positive strong mindset will take you further. If you believe that you can, you’re disciplined, consistent and put in the effort results will come.
To quote Joyce Meyer “ where the mind goes the man follows” if you’re doing something, you hate and have no confidence that’s a recipe for failure.
I didn’t like mass years when I was a kid because I was two grades behind in school after I became an adult. I developed a better mindset towards it and now I don’t mind doing it. Think about all the great things that you can do with math.
Thank you for the awesome video !! ❤
I've studied math. I am really good when I'm good but absolutely bad when I'm bad. I always choke on tests right up to 2nd semester calc. It sucks cuz I readily comprehend abstract reasoning. A lot of time goes by but have daily for the last couple years of so first thing in the morning 6am do a Euclidean geometry or Trigonometry problem. Sometimes like for instance lately Heron's formula comes up and I find myself going down the rabbit holes trying too understand. A lot of identities and formulas like that. It's cool learning about Euclid...Pythagoras...Brammagupta... history...along with proofs. Right now B.F Sherman's Fourth Side of a Triangle is so cool. I bought a calculas tuition from you. Don't have a computer or place too study .I'll get there sometime. I'm happy for you and wish you all the best.
First comment! Don't stop posting, sir. Your videos are very helpful ✨
I really like his videos. But he needs to get some sun. Vitamin D is important.
@@rogerc23 fr
I study maths daily. I am not studying maths for any exam. It's my hobby to study maths. Sometimes I enjoy studying maths. I become bored when I could not solve any problem. I understand that study not only to gain knowledge but also to remind your ignorance.
I feel like the Level of success one achieves in life is correlated to their Ability to understand math rather than get A1s or Distinctions. Simply put i feel like those who Give up when they fail in maths wouldnt endure the Cruel world out there
Your world is like an ant
@@user-kf8nb1er9w yes. Im yet to see the world
Specially in a car dealership, baking and using Excel.
@@KLM747M True
Not necessarily true. That’s like saying someone who fails athletically isn’t prepared to endure the world
I don't care if I'm not smart enough to learn it, I learn it because I like it
I think I do enjoy maths and when I was younger I always understood it pretty fast but as I grew older and into my "rebellious phase" I kind of messed myself up to the point where 1 year I barely attended school and I set myself back a lot, and it was only when I hit year 11 (10th grade I believe) that I realised I actually enjoyed maths and found it satisfying in a way but everyone had told me it was too late to pursue it and so I just fell back onto the subjects that I had been doing decent in. Now I'm 20 moving onto 21 and really considering going into Maths or Physics but I'm not sure if this is a journey I should start, but your videos do help me like some sort of sign from god that maybe I should buck up and start.
Talent can only take you so far without hard work, patience and maturity.
love this!
Thanks, you're the best master not only about math but even for life. #enjoymath
OMG thank you so much
I got in the same position with you at the Calculus II Excersice lecture, my friend already completed 6-7th problem whilst I was doing 2-3rd.
I have a complicated relationship with maths, and it would take a lot of words to explain. I won't bore the audience here by trying to elaborate on that too much, other than to say that I "real like" but perhaps do not "love" math. And I don't necessarily have a ton of desire to study maths qua maths, just maths for its own sake.
But... I have a very deep appreciation for the link between maths and two things I am fascinated with: the physical sciences (physics in particular) and computer science (AI in particular).
So I spend a lot of time studying math, not necessarily out of "love for maths" but because I know it will make me stronger at some of other things that are important to me. And again, I do "like" maths, but my passion for it stops short of the kind of unadulterated love that would lead to majoring in maths or whatever.
That said, as I get deeper into certain areas of maths, I can see my appreciation for the pure maths aspect growing in some regards. For example, I'd read a few of those "written for lay people" books on category theory, and that resonates with me a lot. So I do kinda want to eventually study some category theory, even though that might not have as much direct application to my other interests.
Like I said... it's complicated. 😁
As to whether or not I'm smart enough to study maths: I think so, but ultimately I'll let somebody else be the judge of that. I'm just going to "follow my nose" and study what interests me either way.
damm i appreciate this guy...m
always on point ...
Man u are just too Wise..... I always watch ur videos specially this kind of videos and they always do a mind shift to me
Thank you for this. I have to keep reminding myself this over and over. The struggle comes, however, in this: I feel like I can convince myself that I'm probably smart enough to major in math in undergrade and to maybe even go on to get a PhD in it, but I can't help but wonder whether pursuing that path is worth it if I'm not a math genius and therefore am not one of the top people. Would only being good enough to get a PhD, but not be one of the top people, mean I'd have a hard time getting a PhD-level job? I know the job market for PhDs is rough, and it frightens me, because I don't want to waste all of this effort and be left overqualified and underemployed.
4:25
This is exactly my problem right now too. I'm doing so much, I'm not quite sure what I want to devote myself to. I also don't want to just give up on everything I've already done and built up, so I'm sort of stuck juggling a hundred different hobbies, subjects and projects. The idea of shutting the door on a subject or thing really freaks me out, I would like to just be able to experience everything I can, but I worry that I can't if I stick to just one thing.
By the time we are worrying about this, our intelligence cannot be largely changed. It is important for people to think about this especially when making career-deciding decisions but at the same time if you have strong reasons for studying mathematics (including your intelligence if you're smart) then you shouldn't worry about this, as it really is something out of your control. And just speaking from personal experience, the people who I know who are very good at maths have a range of IQs. Now to be truthful, they are all bright but its not a kind of smartness you couldn't find from a random person you find outside.
I like this guy, he is real. Unlike other youtuber states like 10 mins you can get what calculus is. I dont believe this shit at all. Most of the people who are good at math then doing math, they dont understand the difficulty of math. While those who are not good at it, just avoiding do it at all. What is really necessary here is the people hate it, not like it, suck at it, but still need to do it.
Yes.
Eh, I never really cared about math until after failing pre-calculus in my junior yr of college. I’m currently retaking the same class (after 3 failed attempts and 3 diff teachers, luckily dropped before the W deadline) I’m finally having fun. I realized a lot of teachers are also not very good at educating and the only reason why I’m doing well this accelerated summer intersession is because I registered class with the professor who taught my trig class in my freshman yr. He taught so well that I passed with an A. I think professors need to find ways to engage with the students as much as they expect students to put the effort into learning the subjects.
I think mathematics takes work to understand and learn. Yes you can study mathematics. Are you good enough to study the subject? That depends on the student and what they are willing to do to study something in their learning. We all learn and comprehend subjects differently, you can work hard at mathematics and only get half of the concepts and problems solved right. I like the idea if you study something like mathematics and try at it sometimes the trying to learn it can be fun! I love math
Please recommend some books on Spherical Trigonometry and Spherical Astronomy.
I'm currently studying the English language at uni, but I've recently grown an interest in maths and now I want to change to maths. It's a hard decision. I love both fields! It's so hard to decide between one or the other.
This is very refreshing to hear as a 23 year old starting engineering school
2 parts .1) How the material is presented 2) Our dedication and interest. Makes the difference.
Yes
I am learning maths to study Economics , of which, are much related to maths too.
In my first calculus class, business calculus, I got a C in homework, 50% on the quizzes, and 40% on the exams, but I did not pass the class. I got to be failing, I enjoyed the homework doing limits, and derivatives. Learned maybe to apply that to my kinesiology degree, applying the basic math in that major, applying that to my class, for practice.
yes
staring at the ceiling and watching this video. what a day.
Intelligence is often mumbo jumbo, a mystification of a variety of factors in an attempt to create a mental shortcut. Mental models, interest and passion are more valuable things to focus on either way, because they are somewhat more controllable.
HOW ARE YOU CONTROLLING WHAT IS ON CSPAN?
I think the most important personal trait nescessary in order to become good at math is persistence. I have been able to understand and excell in very complicated math, but it has always been a long ride. Sometimes I have spend days and weeks on a proof before it worked. I'm intelligent, but without persistence, I wouldn't have succeeded.
What are your thoughts on Jordan Peterson's stance on IQ and success?
I had my notable accomplishments, but I know there are plenty of people out there that are better than I am at the things I love. I don't care. Do what you love. It's the only real freedom you will ever get.
We❤TheMathSorcerer
I am 35 and I keep coming back to hear experts say that I can do this.
Well, i usually solve complicated problems using basic if...then... logic, and simple maths, because im terrible at complicated equations and formulas. I think its called resourcefulness. I noticed that i like using the simple and long way, rather than the short and complicated way. so, am i smart enough? 🙃
As the poet Arthur Hugh Clough put it,
"Say not the struggle nought availeth..."
Those who aspire to become professional mathematicians and are having second thoughts should remember that mathematics has different facets and correspondingly different kinds of mathematicians. Freeman Dyson famously classified mathematicians into birds and frogs. Birds being those who work on the big picture, on the logical structure of the subject, and frogs are the ones who work on local particular problems. It's just a question of temperament: some people enjoy solving this or that particular problem or puzzle, others take pleasure in looking at the coherent logical story, things like what is the ultimate logical bedrock, how things are constructed from there, basically how it all hangs together. This latter sort is understandably more interested in problems that have a bearing on foundational questions. And there are other more nuanced and finer ways of classifying practitioners.
If you find your interests spilling over into other discipline, you can work on the issues arising at the intersection of the two. For instance, equal interest in math and computer science is best satiated by working on things like type theory, or generally, theoretical computer science which is a branch of mathematics.
Those who are fascinated by the subject, but feel less inclined to do research, can go into expository work. There are many ways to approach the subject. Some might be interested in the philosophical significance of mathematics, something like its implications for our general intellectual landscape. A stint of mathematics gives you the thinking hygiene that comes in handy whatever you decide to work on.
I can say I do not. Not all the time, But I sure wish to.
You know maybe I can agree. But there are in the end, some very specific barriers and circumstances that in the end limit your development and discourage you from trying more. For example, you only have limited time per semester in Uni to pass classes and to get good grades. This leads to the weaker students getting behind (because just needs lot more time, to understand, to solve their exercises and homework etc) which leads to failed classes and low grades, which demotivates or you just cannot progress further e.g. to a PhD program or Masters etc because they will not get accepted.
So in theory all this are kinda true, but practically it is not. Life will hit you, you will need to work to live, you will need to socialize, you will need to exercise for your health (mental and physical). So you will reach a point where you cannot longer fight for what you love, because life got in the way.
Yeah but which type of math?
The real existential question is "should you be doing Meth?" if you love it.
Are you smart enough to study math?
1. It depends on how far you want to go.
Many, many people--including many who think they can't do math--could get up through a three-semester calculus sequence and some other math topics at that same level. A lot depends on how you approach the topics and whether you put in a reasonable amount of effort.
2. Compare yourself to the math you are thinking about learning, not to other people who have learned it easily.
If you go to grad school for Econ or Stat, you'll end up needing analysis, so he's still going to get use out of his math classes. On a side note, I quit math in favor of quant psych after I doublle majred in both math and psyc. I had no idea how to learn math, so i struggled in my upper dividsion courses. I needed to put together a solid academic performance to get into a Ph.D. program. I had very good general GRE and praxis math subject test scores and i had a few psych publications. I was lucky to find a small school that had a MA in math ed, and had funding for graduate assistants. They took a chance on me and it worked on very well for all of us. I got A's in everything, and i taught there for 12 years. I then got into an average quant psych Ph.D program that's been absolutely wonderful for me. I still do math as part of my studies, it's just less intense and more applied.
Well said.
I'd rather have an IQ less than 100 *with* mastery over mathematics than have an IQ of 145 *without* any mastery of mathematics at all. I'd rather be the version of myself who learns and grows than the version of myself who lives in fear forever and stagnates.
I've never truly loved maths because all the maths teachers I've ever had just said, "You should know this," and didn't offer any help at all.
Typo meant to say Math
I dont know man i dont knooww 😭😭
The truth revealed at 7:26, lol
I check it: "If you think you are not smart enough is because you are not."
Me watching this while studying maths: 👁👄👁
no
Jeff Bezos just randomly decided to sit in a chamber and do math all day long 😁
A: No, I am not smart enough to learn math.
No
lol i cracked world toughest exam jee advanced
At some point memory begins to break a mathematicians capacity even if they remember when to do something if they can’t recall the equivalence.
@The Math Sorcerer - My comment is this. You have 931,000 subscribers. I think you may be on to something.
(OMG! Ya think??? 🙄☺)
I’m not smart enough to study math because I have autism
unpopular opinion...unlike is the case with playing basketball and having height disadvantages....I don't think a below average iq can stop anyone who wanted to be above average in math. I just dont
You know maybe I can agree. But there are in the end, some very specific barriers and circumstances that in the end limit your development and discourage you from trying more. For example, you only have limited time per semester in Uni to pass classes and to get good grades. This leads to the weaker students getting behind (because just needs lot more time, to understand, to solve their exercises and homework etc) which leads to failed classes and low grades, which demotivates or you just cannot progress further e.g. to a PhD program or Masters etc because they will not get accepted.
So in theory all this are kinda true, but practically it is not. Life will hit you, you will need to work to live, you will need to socialize, you will need to exercise for your health (mental and physical). So you will reach a point where you cannot longer fight for what you love, because life got in the way.
@@kapoioBCSThis is beautifully phrased
"Do you have any thoughts or advice for people?" GET AN IQ TEST.
What
It's not whether you're smart enough...........There are people who are functionally illiterate and mathematically redundant and all that can be turned around by a teacher who loves the challenge. The trick is how a student feels about themselves. As long as the student has his/her emotional side built up and they perceive themselves as able to take on any challenge, then their brain will go along for the ride and it really works. I think you're a very good teacher. But the problem is, the smartest people take teaching jobs and they end up being the worst teachers imaginable.
I still think you need at least an IQ over 130 to learn and study higher math. But to be a great mathematician you really need an IQ over 160.
It also reminded me of Freeman Dyson who switched from Math to Physics because he couldn't able to solve a very hard problem in Number Theory (that was solved by a mathematician who later won Fields medal for this).
I want to clear 10th grade math. How much Iq do i need to
A higher IQ is a CONSEQUENCE of REGULARLY studying intellectually intensive tasks like higher Mathematics. A HIGH IQ is not like a more fixed trait like height(which even has some flexibility in regards to what you can do about it)
Okay, yes IQ has a genetic component but the most influential is going to be your environment, and where you spend your mental energy while your brain is still very neuroplastic (it can change shape easier). If you take some kid with good genetics and an interest in maths, it really doesn't matter how hard they try; if they live in poverty, aren't loved, aren't fed properly or not given just a lil help early on to set up that mathematical foundation (not knowledge, it's a learned way of thinking, and you can solidify this thought process into your brain when young.) Then they'll do significantly worse than their counterpart without all this negativity.
IQ is just a load of shit, it isn't intelligence and doesn't serve any purpose than identifying disabilities; It's a score on a test that measures skills correlative to mathematical ability like working memory and sequential reasoning but that isn't math and besides, your brain is still developing until you're ~25. A lot of society likes to pretend that everyone has it the same, the truth is there is thousands of Teslas, Einsteins, Schrödingers, etc out there that just haven't had their potential tapped into. I mean look at India for god's sake.
My point is, life's hard. Math is hard too but it'll never be as hard as life. You can win at math no matter your age, I think belief in yourself is the best predictor of math ability and that usually comes from a support network of encouragement.
I was that kid left behind but I'm not gonna be salty about it, I'm going to get the qualifications I need this year. The other "smart kid" in our class was a good friend of mine and was just an absolute prodigial beast when it came to everything mathematics, but then I realised sitting with him and talking with him. We're the exact same, he just put in a lot of consistent effort in during class time throughout his school years from as far back as primary whereas I was living in a fucking crack den lmao. My parents always worked in trades, I'm one of very few people in my family who plans on going to university. My friend's dad was an engineer... So it all came together once I understood this acclimation of factors. So yeah, if you feel you're not smart enough for math, shut up that's bullshit. If you want to learn math, that means you already have what it takes. Learning and passion should be synonymous.
@@popdop0074Magical thinking
Please recommend some books on Spherical Trigonometry and Spherical Astronomy.
yes