The Only Math Video You Will Ever Need
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- Опубликовано: 12 сен 2024
- My Courses: www.freemathvi... || In this video I discuss learning math and the most important things you need in order to learn mathematics. Do you have advice for people? If so, please leave a comment below.
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Thank you:)
"The most important step a man can take is the next one, always the next one. If I must fail, I will rise each time a better man" has been what I tell myself during the pre-exam and post exam moments
Is that quote from Dalinar Kholin 🤔
This is one of the best character arcs in the whole fiction. I think a lot about this quote recently and it's helping me with my struggling
@@ckeimel I could not agree more
I repeat this to myself religiously every time I take a misstep climbing a mountain and fall into my death
Dalinar Kholin!!
I just started my sophomore year in engineering school at 27. I appreciate your videos and how they motivate me to do my best in my classes.
the best of lucks!! And congratulations
you got this man!
Fingers crossed. ❤
Me too man. You’re not alone. 27 here. Not on engineering. Data science. Full time worker too. It’s a struggle but we got this. And once we make it, we’ll be unstoppable. Best of luck to you. Stay strong
Don't try. Just do. A simple lesson I learn through my engineering studies. First year destroy me, as I couldn't cope with the sudden studies load along with my crippling mental health and addictions. But I had always love engineering, I can't imagine doing anything else with my life without it. It feels like engineering has choose me. It want to consume my life and kill me. And I allow it. I just simply stop trying and just do. The failure, struggle and suffering becomes tools and mere indicator for adaptations and furthering my skills. Like Sisyphus, the struggle and suffering of engineering itself is enough to fill my heart.
I've been watching your videos for a few years now and you really helped me get motivated and interested in mathematics. I had to take calculus to finish my biology degree after not taking math for over 6 years. I self studied the Blitzer College Algebra and Precalculus books you recommended over the summer. I just took my first calculus test this week and made a 95 after extra credit. You really are helping people get motivated and interested with this channel and giving very solid advice. Thanks for all the work you put in.
As a psychology student (and no native english speaker, so sorry for any language oddities you may find here), I think it is important to say that our personality is mostly shaped by our social history, by the people we met and the words they told us, that shape our behaviors. It's also really super important to think about the fact that everything you think about yourself are just tools to model your behavior, not essential truths. So e.g. if you think "I'm a failure", remember it is just a thought, a judgment. Judgment are usefull, they are the funding of knowledge, of our ability to deal with the external world. But we have to make a difference between objective judgment and social/moral judgment, judgment about people and about ourself ("I'm a failure", "I'm lazy", "he is a coward", "she is brave", etc.) By studying social psychology, I learned that social/moral judgment are useful indeed, but their main use is not to state objective truths, but to control our social environnment. For instance, if you say to somebody "you are a coward", your main goal is not to say something about some essence of that person. Your main goal is to influence the behavior of that person to prevent him/her to express behavior that you think are harmful. Social/moral judgment are usfeul, but they can become harmful when taken as essential truths about people and about ourself. The greek cynical philosophers where, I think, precisely teaching (among other things) to liberate oneself from these social judgments, and to remember that any life is precious beyond mesure, no matter what one does, did or will do.
AWESOME comment. Can you recommend some books or articles on social psychology and its historical background (philosophic schools, famos modern teachers...) for people who don't have (almost) no basic knowledge of psychology. Thx
Finding your reason for doing what is hard, what others do not do because it is hard, is essential. I agree. Like finding your bliss. A good driving motivation creates a perpetual engine that allows you to tap into the deeper part of yourself. That extra bit of grit. Many people do have a "why", they may not be able to express it. Find it. Clarify it. Knowing what is driving you provides that extra, endless drive that you can tap into when you really need it. Thx for the video.
How, sir? How do I find my why
10:21 As a French professor and Cultural Manager in his last year of Electromechanical engineering, I thank you for your props. It is indeed a hell ton of work.
I am glad that I have found this channel of yours months back. I am 39 and just in my Year 1 of Computing degree. I am not confident in my maths skills, especially back when I was a younger student. But I steeled myself, I want to become better, do something more substantial and fulfilling for me and conquer my own anxieties with maths. Your advises and motivation to do maths everyday (currently practicing my foundations for nearly a month now) pushes me on to study hard for my degree.
Thank you so much for creating this channel. This is a massive help for people like me, trying to conquer our own mountains.
I rarely post comments on RUclips but I want to thank you for the work you are doing on this channel. I went to physics grad school and I left after a few years hating maths and physics. You got me motivated again to learn. Even if I have to read again basic foundations of maths and physics. And most importantly, resources on how to be more efficiective. Thanks!
Love it. Thank you. First year PhD right now, and remembering my reasons and realizing I don't have to be the best have been super important to me.
Going back to college after a long time and I always hated math. I found your channel as I knew it was my biggest academic hurdle and I had to get over it. The thing is, now that I'm at my own pace and I'm learning for ME, I'm loving it! I found myself going to do math in a quiet room at a party yesterday for crying out loud. I've had to go back to the basics to ensure I have a good grasp, but I'm catching on so much quicker than I even did in school (beyond elementary arithmetic). I'm excited day in and day out about what new concepts and formulas I can learn.
This video really hit me. The same principles apply to any frustrating focus skill. It's a good reminder for my programming journey.
Watching this video just rekindled a fire in me. Havent done my favourite subject, calculus in months, now im motivated to start. Thanks my friend
I love your videos so much. I'm at the lowest point in my life right now, and your videos have been such an amazing motivator as well as a guide for me to find my way. As of now, I am going to start my 2nd year of university in 7 days, having failed most of my classes.
As bad as things have been for me, you've made me come to the realization that I still have control over my life, not only when it comes to my studies, but every aspect of it in general. I just want to be good at something for once, and not feel like an idiot who has nothing to contribute. Even if the path to achieve this, as well as my underlying goals, will be long, at least now I know that it IS possible, and it is all thanks to you.
Awesome video as always, already waiting for the next one!
hey going through the same thing
@@neethushree2632 We'll get through it
You are one of the best characters that change my mind to the best way.
Keep going..
Yours faithfully ,
Mechanical Engineering Staudent from Saudi Arabia
My main reason is to see the beauty of it! Love maths, thank you for your videos, they are the push to give the extra mile
I am doing math for fun. And a few math problems a day keeps dementia away.
I am doing math at home even after completing my bachelor degree in Mathematics only for self improvement and satisfaction
Very well said prof. Math taught me to think outside the box. Great textbooks and great questions in class on what hangs us up is important. Solutions through hangups are often patterns that will not only solve other math problems but can be insightful techniques in all sorts of problem solving. Recognizing the right substitution to solve an integral calculus problem applies in looking for the right substitution in developing chemical compounds, writing/analyzing computer codes, etc.
I liked the purity of this video. Bliss ❤. Thank you
When I started playing bass on my own I used to try to practice for an hour a day. It was a little aimless and I would just play whatever I felt like. Then I found a really good teacher who got me playing very productive exercises and I started practicing 4 hours a day. I got better in one year than I had gotten in the past 8 years of half-ass practice
Needed this video, man. I amma going to be top of my class by the end of the year.
my reason to study math is because it's cool. i know its super simple but i literally just think its cool and i wanna understand it as best as i can
There's this fascinating feeling or state of mind by understanding or grasping something in math which is not comparable to anything else in life. Some German philosophers call it Wesenschau (~ "seeing the essence"). This thing alone makes doing math worth for me.
What I was lacking you cleared me Sir. Thanks and My personality is something like yours which doesn't work with cheap reasons.
Currently working full time in a machine shop and going for ME full time, hard to stay motivated sometimes especially when I don't get a score that I like. These vids always bring back a little of my confidence. Thanks.
Had no idea this channel existed. Absolutely fantastic!
Welcome aboard!
This video really spoke to me. I went back to school after getting out of the Army and I originally went to school for nursing. I fell head over heels for math and biology and now I’m pursuing my math major and bio minor. And this was after I didn’t score high on the math portion of the entrance exam as well.
When I was a teenager, I was a very bad student, didn’t do high school, became a construction worker. Wanted to have a better life, so I did high school for adults, went to university in my mid 20ies, and started a PhD in mathematical modeling (cancer research) half a year ago. I am turning 30 in 1 month, and I am so happy that I faced all those challenges and financial struggles over the past years. It was absolutely worth it, became a happier person through that.
I loved this; thank you for sharing. This is why I started math:
I (probably) only have one brief shot at life. An uncertain 0-50 more years left isn’t much. Since existence is so brief, I want to live fully engaged with life, and I want my life to be meaningful. I want to be the best that I can be, so I have chosen to focus on one and only one thing which I enjoy and am good at: math. If I can use that effort to help others along the way, then even better.
This is currently why I do math: the tension of problem solving is its own reward. Engaging in difficult work is life affirming. As Camus wrote, the struggle itself towards the heights is enough to fill our hearts
4:16 absolutely!! There is a way to satisfy your need to solve a problem tho. If you really feel like solving one problem, spend 30 min. a day with it. Stop after that and move on to other problems. Then, come back, the next day and spend 30 min. on that problem. And the next day, until you solve it. Notice, I'm not spending the whole day on this ONE problem. That way you don't waste too much time. Instead, I spread out that time for solving the problem for it throughout the week.
Been watching your videos during downtime in my day here and there. Having gone through an undergrad math and a bit of a graduate stats program, I think your advice is really helpful in general, regardless of the topic.
Being in data related work today, having a reason outside of "it's just interesting to me" is important and helpful even for me now. If something is interesting to me, I can spend countless hours wasting time trying to understand it, but that doesn't necessarily mean it's moving me towards any particular goal.
Thx for your vids Mr. wizard warlock sir
Great video, thanks for sharing!
The only way to grow is through sacrificing, and suffering. Eventually, you do it enough and something will click in your mind and seeking challenges becomes a norm, and there is growth.
Another Banger ❗️
You gotta know that your videos are my best motivational source while studying mathematics. I was struggling with proofs (I'm a first year student) and took your recommendation of using Chartrand's book (the green one) and I can now proof several results ON MY OWN!! VERY REWARDING EXPERIENCE! thanks for sll your videos and experience shared in them.
I'm trying really hard to properly teach myself mathematics & Physics because I feel like there's a huge gap to be filled. It's very frustrating, but I know exactly what you mean when you say "cut them a break".
Your videos are extremely insightful, often times we forget about the human part of learning mathematics. I really appreciate your content.
I wouldn't even say it is discipline that is most required.
I would say it is your value system that needs to change.
For me it was once I realized that nothing else in my daily routine held as much value as mathematics that I started to prioritize mathematics.
This takes a bit of maturity, a fundamental understanding of what life is and a good insight into what makes the universe itself tick.
Mathematics is the only logical course once you become disinterested in all other pursuits.
You yourself have experienced this with your gaming heavy addiction phase.
It was not until you realized that gaming held no value that you stopped and picked up the math books.
I'm just about to start my studies in Maths with the Open University (UK distance learning speciality university) going in to the second year (I got credit for the first).
I find watching videos, reading textbooks on Maths easy enough. Finding the drive to just sit down and do Maths is harder for some reason though, even though I know that's the only way to get better.
My reasons are it's the only thing I've ever been good at, and I enjoy it, and I want a job I enjoy and isn't just a brain numbing, boring means to an end. I'd love to get good enough to be able to teach it at a UK college, or even a university lecturer. (College and Uni are different here)
Thank you, professor.
Wow! We basically have the same story, learning math after having programming experience! I mean up to the start of my freshman year of highschool, I didn't know a lot of math, nor was I interested in it. My math was really standard, probably below it. But once I started learning about sequences and functions, something just clicked, it started making sense to me. Like I learned sequences and functions by simply having programming experience.
And now I'm taking both your Calculus 2 and Differential Equations courses on Udemy, just because I find math a rewarding, wonderful subject.
Unfortunately the bar between Standard level math and Higher level math is pretty high, so they didn't really place me in that class, but still in my standard level class where we are learning Calculus 1-2 I think I am the top performer
I have a few different things motivating me right now. The big one though is all the people, including teachers, who insisted that I wasn't a math person. I'm slowly proving them all wrong! 🤩
I liked your approach in one of your earlier videos, u said something like this. learn stuff to teach yourself, it's your one life to live.
I believe going step by step is essential for a peaceful self.
This means honestly reevaluate the prerequisite to reach a specific academic goal.
It's like don't try to jump across a rung on a ladder to reach the end faster.
Go one rung at a time from one floor to the next.
Prerequisites are even more important in all STEM majors like mathematics, statistics, engineering, basic sciences, technology, computer science and social sciences specially economics.
I have made mistakes in the past taking courses in mathematics like numerical analysis in graduate school without meeting the prerequisites and ended up dropping the class.
Great vid! I always do math problems or try to prove things in my note pad which I keep on me at all times. I keep one in a car as well. I find a lot of cool and challenging problems on Twitter where many math nerds like myself post math problems daily and others try to come up with creative solutions. You learn math by doing math!
I mean to be real learning math is so much better in our time period of 2010+ , because we got the best online education there is , which provides the foundation for properly studying and practicing math . A lot of people struggle because they don’t either understand their teacher or aren’t focused enough in class…so when they go home and try the homework …they can’t do it really and give up …and then book no practice no hw = no improvement in math and no increased neuroplasticity . I’ve had such a solid foundation in math (calculus 2 ) do to teachers like you and professor Leonard and khan , so I can genuinely tackle hard math problems . A 100 years ago , if you had a bad professor , there was no google , no RUclips , no personal tutor , just you and homework problems u can’t figure out or even attempts. I’m aware of this time perio and how it’s basically like living in the intellectual "gold rush " and I believe 50 years form now , this perioid and the immensity and quality of online education will be taught in history class as a great factor in the rapid scientific and mathematical advancement of our society .
I love math so much because it’s essentially the root of all science , and explains literally everything about science , and it will always be there for me
perfect timing for this man, thank you
It's vitally important for math to be taught at the lower grades. Neurological studies have proven that pathways which are created in a child's developing brain are retained throughout life. By the time a person is in their mid-20s brain development ends and the brain pares back unneeded structure. This is why it's nearly impossible to learn new things like a second language or math, which is a type of language, later in life if those brain pathways haven't been established earlier.
Thanks for your realistic and simultaneously motivational words. I am both competitive and in need of improving my life. Watching this video has boosted my drive to improve.
Be your own biggest competitor not your own biggest bully, compete with yourself to be better at whatever fields that interest you, helped me help 9 other students pass a coding boot camp I took last year , but I also had prior training too so that helped, funny thing is they have jobs in the field now and I don’t and I know a few of them lied on their resumes
I’m going to college for computer science and working full time as a data analyst right now, it’s definitely tough but I also have my reasons. Math turned out to be my favorite classes. I think because it’s actually challenging, the programming stuff is really easy for me.
I’m especially liking calculus as it’s a lot more creative than just following some formulas. You really get to dig deep and think about how to approach problems. The algebra I didn’t pay attention to in high school is coming back to haunt me though so I’ve had to do a lot of catching up
Hi Math Sorcerer. I'm a lifetime learner at 60. I think it would be great if somebody (like you) wrote a comprehensive program on math that started from the very easiest and progressed to the most difficult forms of math building on each consecutive lesson. One book or program. Every day, the next lesson or question/problem. You're the perfect guy to make this! Thanks
Im 23, about to get my CFA charter, and I have regrets about not taking math in college apart from Calc 1.
My reason for potentially going back and enrolling in a calc 2 class is that Im interested in picking up a quantitative skillset (data science/ stats comes to mind) to make myself more employable.
If I want to get into a top economics grad program, they also require that I take calc 2 & differential equations
Who knows, maybe I could develop a passion for it over time, but as of right now its a means to an end
My reasons for math were essentially the same as that professor's was, but maybe it was too negative. Like the quote Arcane just stuck with me for a long time when Silco says "We'll show them...we'll show them all....", that is the kind of mindset that I had at that time, sort of like vengefulness and stuff. But over time, like you said, things DO get better... I mean I didn't really achieve my goal of getting placed into the higher level Math class, but at least I know that I can do it because I worked hard every day in the library just to get to the level of the kids studying the Higher level math. Right now, I mean I can answer some Calculus questions that they really can't, but it's not about that, it's just the fact that I can do it.
Now I'm studying math because that's only subject, I enjoy learning and picturing in my head at night, simply because compared other social science subjects (which I was not bad at), math is about trial and error, as opposed to trial and okay.
I wish you were my college math professor. You sir are a national treasure.
This video is underrated fr. Thanks for making this video.
I've been on a gap year for the past 4 months with a goal of pursuing some personal projects and prelearning a lot of the classes I'll take in college with the breadth and freedom not afforded to me in a structured curriculum. The past few days have been lost on me for productivity and your words have reminded me of my bigger ambitions. God bless your mind and ability to teach.
thank you! i needed this
Thank you❤
Very amazing and righteous ideas! I believe if we have strong reasons to do something we will give our best effort even more so! Thank you! :D
Very inspirational. Thank you.
Thank u for being an inspiration
My reason is that I want to get to the point in my life where I am good enough so that the university will pay me to study and teach mathematics. 😁
Great advice. Thank you!!!
Two quotes that I think of that help me, maybe will help others.
“He who has a why to live for can bear almost any how.” ― Friedrich Nietzsche
"You may leave this life at any moment: have this possibility in your mind in all that you do or say or think." - Marcus Aurelius
EPIC QUOTES!
Needed this, thank you.
I want a better life for myself. I wanna go to uni with a scholarship. I want to not struggle to support my hobbies, I want to give nice things to my sisters. I want to help with climate change. I want my country to expand nuclear energy and other clean energy sources.
I just found your channel yesterday man, you are really making the world a better place
I appreciate that!
You are great sir ❤
What an amazing video to stumbled upon
Whenever i start to feel defeated by the complexity within the calculus or the analitic geometry textbooks, i try reminding myself that i am learning over the span of one semester stuff that took our species centuries to learn, so if it turned out to be easy in the end, wouldn't that be very sad?
One of most beautiful wisdom filled comment on this forum
I thank you for all the videos you create; they have helped me a lot. I need to ask you for direct help, because I might be going through the most depressing phase of my university career in pure mathematics and I don't want to give up. The issue is as follows: since I love math, I love the struggle and the huge amount of pleasure given by solving problems and understanding the theory; I mostly do this by myself. However, being not particularly "talented", sometimes I find myself spending hours, or even days, trying to solve a problem, especially if it's complex or if I'm not familiar with the standard techniques in that mathematical field. I can see the positive effects of this approach: I remember things for months and I have a deep knowledge of what I have "discovered again by myself", but it's simply too slow to handle university courses and meet exam deadlines. So, I wanted to ask for your advice: in your opinion, is it detrimental to occasionally give up and look at the solutions to a problem when we've been stuck for too long? Can one still become a mathematician (in particular, a researcher in pure mathematics) even if we can't crack our heads on every problem we encounter, and sometimes, we need to seek help on how to solve them?
I think that if you have been cracking your head on all of these problems all this time, then you have great research potential. Resilience and autonomy are far more important than talent, and it seems to me from your comment that you have both.
It’s perfectly fine to seek help if you’ve been grappling with anything for longer than two days. Remember also that most mathematicians are not working alone. If you are doing research, then you will be spending a lot of time talking about the problem with your supervisor(s). Math is a team sport :)
I have some reasons do maths. It helps me to discipline myself,make better use of time and come up with new ideas.
This quote has helped me a lot:
"First the body. No. First the place. No. First both. Now either. Now the other. Sick of either try the other. Sick of it back sick of the either. So on. Somehow on. Till sick of both. Throw up and go. Where neither. Till sick of there. Throw up and back. The body again. Where none. The place again. Where none. Try again. Fail again. Better again. Or better worse. Fail worse again. Still worse again. Till sick for good. Throw up for good. Go for good. Where neither for good. Good and all."
Samuel Beckett, 'Worstward Ho' (1983)
Please man, never stop your videos.
It helps me so much
I'm in calculus and my issue is the basics, I just dont see some of the stuff right away and that's what makes me miss so much. I can get the concepts and the rules. Just the basics
Thanks for the words of encouragement. We sometimes need to be reminded why wedo what we do XD
As for a student who start to study the math by heart after fall in love with the science and physics I realize that learning math pasion is prominent
Math Goggins!!! 🙌🏽💪🏼👏🏽🤜🏽🤛🏻
from my heart : THANK YOU
Nice video thanks for the motivation needed that today🙏
Good advice. Interesting history. Thanks!
Can you make a video about mathematical olympiads? There you could give some tipps on how to take effective notes and how to comprehend a task and a way of how to use the tools you have already acquired to come up with a new creative way to answer that. Don't forget to mention the timetimer
This was great motivation to get immediately before my proofs exam.
You sir are a scholar and a legend. Love you and your channel. Keep 'em coming good sir!
I always quit when I start learning/relearning math because I have no reason. I'm a software engineer that uses little to no math and get paid well. To relearn the basics and then more advanced math, I would have to dedicate serious time and explain that to my family. Time is limited and without a reason to sacrifice time to dedication of a pursuit, you will give up. This is great advice! Now the question is will I find a good reason to learn math.
Thanks for this video ..we love you...❤
4:40 "Who does this guy think he is?" LOL
hahahahahah yeah crazy right, intense dude:)
When I called myself a poet, I started writing poetry. So, if you call yourself a math guy, you might do more math. Existence before essence. This was a new thing for me, and it worked, but I'm suspecting that if I took the pressure off of being good or not good, I seemed to be better at it. So a reason might be just curiosity and the desire to get better, to be the person who does math. If your reason is to just pass a course, then after the course ends, you might not do any more.
He who has been given wisdom has been given much good,but none know it save people of understanding
Thank you for you’re videos ❤new subbie!
Thanks for subbing!
Profe, me gustaría que hablaras más de matemáticas, y menos de libros y otras cosas. Por ejemplo ¿Qué parte de las matemáticas te gusta más? ¿Hay algún teorema o demonstración que te gusta particularmente? ¿Hay algún teorema que te parece particularmente útil? Hay algún teorema que mucha gente no comprende bien? Me interesa cuando hablamos de matemáticas y aprendemos matemáticas en tu canal. ¡Gracias!
thanks you gave me very useful tips, today i was doing math and i could not handle some problems and i burnt out , igot angry and thought i was stupid but you helped me a lot !
5:08
His reason was "competitive", I dont think he was trying to be negative about it. That was how I was growing up in high school. Trying harder because you saw people were impressed with what others could do and you want to see other people be impressed with you
You could say it is seeking attention, but for example I got into macro photography and astrophotography and watching people love my photos makes me feel like I wanna do it more and seeing other people do better than me in photography makes me think I can easily do it as well. I know not everyone is Einstein or Newton so why cant I do what they are doing as well? They just seem like the average Joe (and we always put ourselves above that)
I am currently in high school and l study industrial sciences (8h math/week). My year started bad when it comes to math, and I hope that the advice given will help me to some extend to improve. I won't give up yet even though my grades are really bad.
Story I have: in 6th grade my math skills were heinously bad. . . I was a general bad/chill kid and the new technology-teacher-hands off approach my school attempted only made things worse. Anywho the only reason I was put in “pre-AP” or “advanced” courses was because the remedial math teacher they assigned me told the counselor’s that I had no business being in that remedial class. I can’t remember how it went down, but my counselor told me something like that.
Had I stayed around the same group of friends and whatnot I don’t think I would’ve even contemplated going to college. I don’t know but it definitely helped tremendously being around people way smarter than I was. And attempting to impress this one girl took my math to like a decent level in high school haha
My Major has nothing to do with math but this video tickled something deep inside me.
this dude is friggin awesome!
It Is almost two years ago i started studying math from scratch. Now I'm almost done with Stewart Precalculus and I think that the second book, Thomson Calculus, I bought too, is in my reach, at least as a possibility and not as sci-fi. Price: practice, practice, practice
Having good reasons is another way of saying you must have self-motivation. Self- motivation is the only type of motivation that counts.
Id say that my reason is pretty strong, cause I need to pass in calculus. I used to belive in "Im good at math" (and now understand that I am basically really good with spatial measures) but when I got into engineering, oh boy how i knew little...