Im 19, and there is a guy in our university that looks kind of 40. So i assumed that he is just another mathematician, maybe a lecturer at the faculty. But my friend told my that he is actually a second year math student. Since I've learned this I always look at him with tons of respect. He is not only studying math but also sharing a lot of his knowledge with fellow student, I always see him talking to guys my age. So never stress going to university purely because of age, cause you will still be accepted there as a passionate mathematician-wannabe. Wish you luck guys
Are you smart enough to study math? Is your IQ high enough? These are all questions I asked myself...Finally it dawned on me. I think the better question should be: Are you willing to put in the work? Are you willing to sacrifice? Are you willing to make it a priority?
I think those questions are misleading and caused by school system. Because they can't teach the correct way, they think and make students think that problem is STUDENTS. I believe everyone has a WAY of learning things, and most people can learn anything with a correct technique (technique that is suitable for them.) Then I learned that a great physicist Feynman agrees with me.
@@lifefan1 I think to both of your points, change is needed. Students need accountability (learning how to learn - which requires work and self reflection) and the system needs to allow for more dynamical learning environments. Maybe I am missing something, but everyone I have encountered who loves learning, is a fan of education, just not necessarily a fan of school.
@@curiousaboutscience Learning how to learn is extremely important if not the most important thing in my opinion. And yes I think everyone has some interest too.
Hey Mike! 50 year old here studying math at a 4 year college. Don't worry about fitting in, I have a blast in my class....most of the kids are pretty shy and don't interact much with the professor, so the instructors really seem to like having me around. I think they like to know someone is awake and paying attention:). Math is HARD no doubt, bit if you really want to learn you can find enjoyment in the process of studying and completing problem sets (even though when you get stuck is can be frustrating). I do a heck a lot of googling getting ideas on how to complete proofs, etc... you don't have to figure it all out yourself!
this made me tearful. growing up with untreated adhd for most of my life up until this point, i was deeply deeply hurt in math classes. it was like id learn and understand the formulas, then the next moment theyd just be gone. i couldnt retain them whatsoever, and usually i couldn't pay attention enough to learn them, period. i remember crying in the bathroom during one of my finals in math because the equations looked like another language and i had no idea what to do and it was too late to learn or remember, so i went home without finishing. i honestly cant recall ever getting higher than a D in any math class and never really got past algebra 2 which is HUGELY shameful for me. but now that i am being treated, math feels navigable, and i have faith that if i stick to it i could really fulfill my potential ;0; channels like this, they make this goal feel even more achievable, as math and people who are good at math (imagine that :p) dont seem so intimidating anymore !! so thank you for this c:
26 Years old, trying to go back to school right now to pursue computer science. Got into a local community college, but struggling hard with Calculus 1 at the moment. This video encouraged me to keep it up and just keep trying to practice every day. I think I can do this!
I think the distress the writer has is he has good physics intuition but can't convert it to math. So he, understandably, doesn't want to just walk away and do something else. I can definitely relate. If he decides to keep going, he should get a different book. If a book doesn't work for me I don't just put it aside; I get rid of it. There are other books.
Also, sometimes reviewing the basics of something you though you knew (algebra and Trig in my case) actually helps figuring out problems. A lot of people's early hatred and refusal to do math comes from poor instruction that either went by too fast or in a rote manner that really didn't prepare them to exercise their thinking "muscles". I'm of the opinion that while you definitely don't have to be "Good" at math, working on something that you struggle with is a good thing. If that means you're forty and need to go back to doing back of the napkin arithmetic, go for it. Whatever you don't use you loose, from a neurological standpoint, so challenging ourselves intellectually with whatever things we can is a good habit to build.
@@katydid5088 Yeah that's a good point. I said once you can't go "slumming" in math. I can do a Fourier series and still get thrown by a basic high school algebra technique. Review, even of what you've already "mastered," is always fruitful.
same. there are too many books out there to focus on ones that i dont like. find books that compliment your learning style. the only way to know is by going through more and more books.
It is demotivating sometimes. I know. I am 55 years old and I started my Physics graduation when I was 52. Just as a hobby. My brain isnt the same when I was 15 but my passion for learning new things stiil is. Until I live I will always give me the chance to understand new things. I dont have the books. I study though the videos from the utube and from the online Physics course lessons. Math makes Physics beautiful. Although I get stuck in many calculus, that doesn't bother me anymore. Yesterday I was doing an exercise to understand the Physics involved. It was just ok but then , the last step came Math. I just had to divided 1/ permeability times permissivity squared and negative power. The result would be the speed of light. 3×10^8. I did something wrong. It was the math. Man, i didnt give up. I know the answer and found what i was doing wrong. Sometimes it is a simple thing you couldnt see sometimes it is something you really didn't know. Sometimes it is your limiitation. Even great scientist count on better people than them. If I cant finish a calculus I ask somebody who is good at it to help me. I will graduate this year 2023. I almost gave up. But I didn't. I live in Brazil. Things are not easy. So dont give up. Whereever you are believe you can do it. ❤❤❤❤
I have heard too many people say something like "I used to like math until I had this one teacher..." Please, don't let one bad experience discourage you or make you think you're bad at math. Some teachers, alas, just aren't very good. Some are good at some parts of the job but not others. Some may just have something about them that you, personally, just don't "click" with (like their way of explaining things, or structuring their class, or writing tests), but you'd do just fine taking the same class from a different teacher.
You’re the best! I feel that no one else on planet earth is worse at math than me. But watching your videos give me hope that I can one day achieve my dream of becoming an engineer. Thank you!
Great to hear you're going to challenge your thinking on what you are capable of. I'm also 50ish... and trying to expand my mathematical horizons (reviewing all the stuff I did in high school). It might also be an idea to review pre-calc and algebra just to be sure that you have a good foundation with no big knowledge gaps. This might also give you confidence and reinforce what you know before tackling something harder. I think that being a mature age student gives you an advantage in that you have so many years of life experience to bring to the table. I have five kids on the autism spectrum (one mathematical genius (admitted to university at 15 years old), one regular and three who hate mathematics). I know that this condition can have a profound effect on learning and knowing how you process information could be a good starting point. Whether that be sensitivity to the sensory world or learning style. I would suggest that you look into the work of Dr Temple Grandin who writes about what it's like to be on the spectrum. She talks about different types of autistic minds and knowing which type you are could really help you understand how you learn. She has a website plus there are a few of her talks on youtube. There are four main types 1) Photo Realistic Visual Thinking; 2) Pattern Thinker; 3) Verbal Facts Language Translation Thinking; and 4) Auditory Thinking Calculus can be tricky because its abstract and visual people often have trouble trying to create an image in their minds to understand it. While they find topics like arithmetic and geometry and physics easy because you are often given visual aids. You might find you prefer reading (maybe look at some other books that are free online), hand writing (notes and working out problems) or maybe typing is your thing, youtube videos or taking a class (online or face to face) or maybe get a penniless university student to tutor you once a week. These days there are so many options available to you it's about finding the right fit for you.
Amazing advice as always! I tutor/instruct a lot of calculus and I can say that it is definitely not easy for everyone and there are a lot of extremely intelligent people who struggle with it. So try not to let it weigh you down, even though that may be easier said than done. I think going to a class is a great idea! It would also be great if you could maybe become part of a study group, in undergrad I had an amazing study group and we were able to save each other from drowning in content many a time (it is also a good way to make lots of math friends which is always nice).
I'm so glad I found your channel! This video is startlingly relevant to me currently. I just decided to go back to college to finish my first degree and go on to lord know's what next lol I'm 28, almost 29, and I haven't really done mathematics in so long. I used to tutor independently up to Calc II, and I was great at explaining the material in digestible and fun ways to other people, but I struggle INCREDIBLY much with self doubt and fear. I actually got a 30 on my first calc II exam because I second guessed almost all of my correct answers. My professor even told me that I was getting the background and the heart of the mathematics better than he did (maybe he was just being nice), but that my lack of confidence was destroying my results and ability. I ended up getting a B and dropping college a year later to focus on my personal and medical issues for 7 years. I just started physics this semester, and I've forgotten 99% of all my previous math knowledge. I'm pretty terrified haha. I'm juggling my jobs, being completely on my own with no family for support, and I'm trying to figure out what the hell I actually want to do as a career. I adore particle physics, and I find higher level maths to be incredibly rewarding and centering when I get into the groove of things, but starting back from almost zero is so daunting. I'm putting in all my effort though! And I'll be reccomending your channel to any of my classmates who will listen, and to all of my future "pupils" that I hopefully get to tutor. I really want to get back to where I used to be in maths, even if I decide to go full chemistry or biochem/orgochem instead of astrochem or something else more maths and physics heavy. Thank you again for your work. It's wonderful to see someone like you making such accessible and heartening content :)))
This was only the second video of yours I've watched. Your kindness is particularly impressive; it's a strength commonly overlooked in teaching. I am going to share this video in the hope it will help someone. Thank you.
Thank you, after watching your channel and aplying the improvement methods you share i have improved in maths so much I love maths now because of you so thank you.
My message to the OP, Listen man, I'm so sorry this happened to you and this is how you felt. I was in a similarly situation in the past, and what I realised that how you do in a test is not a reflection of your abilities or your identity. From your message I'd say your preparation was inadequate. Why did you do the homework three times? You should have done that homework once, looked at what was hard, and only re do those questions. You then should have find further problem sets in an escalating difficulty. Whenever you prepare for any test, you need to do questions similar to those questions in your preparation. That's what makes the difference. Effort alone is not enough, it's must be the right effort. Please don't allow that exam to define your self worth. That exam only measured your preparation not your mathematical ability.
I understand Mike's pain. For me, I aspired to go into medicine. But, I did not pass 1st year calculus. There were no redos at my university so I had to switch my major. Now I am a math interventionist at an elementary school. It does bother me still that I could not wrap my head around the 200 theorems and 100 proofs that I had to master in the first semester of university and also felt not as "smart" as I wanted to be. But, as an older student, you have wisdom. You will know how to manage your time, you now have tools (the computer/you tube) to help you if you get stuck, and you certainly won't worry about what your peers will think if you start asking questions. Going back to take a class is a great idea. Good luck in your math journey. I picked up the Stewart book (who was a prof at McMaster University....and I went at the time when we students were the "editors" of his new calculus book he was publishing. back in the 1980s!...)
Another video hits home. I got laid off in '08 and went back to college to ride out the coming recession. I was about 36, with many accumulated community college classes. I decided to take as much math as I could and ended up with a bachelor's in math with an emphasis in prob & stats, but I am still a man of letters, having a minor in political science and remaining an avid reader (occasionally of actual books). Some of those math classes were brutal, including prob theory & stat theory. Calc 1 was hard, but strangely: Calc 3 was an absolute blast, professor quality matters, as does the mentality of the class: Calc 1 still seems like a "screen" class for many colleges/professors. I didn't grok some things as well as I would have liked, but classes can't slow down for the older guy bent on understanding all the things. I've known that self study at my own pace is the answer for a long time now. On the bright side, I have a nice whiteboard with lights & a camcorder: I think the pace of whiteboard writing is just different from using electronic tools, and if my self study can help others, so much the better. Because I found this channel as part of opposition research in the first place :) but seriously, "How to do prob/stats" videos could go a ways towards helping me escape wage slavery (the database consultancy work I'm now doing fills in the biggest gap of stats students: the handling of ugly data). But first, I have to cast off a few decades of feeling dumb, even though I have a math degree.
You are absolutely right about different people having different strength in learning different fields or skills. It is recognised as theory of multi-intelligence.
I relate heavily however I'm 24 and I succeeded in calculus, struggling with analysis and differential equations. Right now I need a way to make those exam sessions less taxing on my psyche. I can't handle being that stressed for that long each time I have exams, to the point of having recurrent nightmares of passing them... If I pass, good, if I don't, it shouldn't be such a big deal, but I can't convince myself it isn't.
Honestly i feel like crying watching this video Im sophomore in high school and math is fairly easy rn but i just feel so lost bc i didnt practice for years. I wanna start but im not sure how
I like learning, and am a math major. But I feel that the classes which there’s no stakes to do well in (grade wise) I learn so well and have fun! The fun is taken out for me for anything when there’s a grade requirement attached :(
I failed or dropped out of many Math classes, but I've always loved the subject. And, of course, I love math books, especially those considered classics or among the best of their field. Great channel
Thank you so much Michael for sharing. A lot of us share very similar situations and feelings. You're not alone out there. Sharing your story helps give me the courage to keep studying! And thank you MS for making this video!
I went through a pretty similar situation. Worked for a few years after attending college and not doing well but then doing well with an associates in electronics. Went back to a big school because I felt I needed to get a bachelors. That choice had ramifications. I thought I would be smart and double major in economics and physics, how hard could it be. Well, it was very hard. I worked and played in a cover band to make money. I didn't sleep much. I bombed Calc I in summer school, not a good teacher, had issues with calc-based physics, of course. Got a better teacher for Calc I and started to understand it, but still, a tough slog. I can remember one of the TAs in Calc II shake her head at one of my quizzes. Humbling, but welcome. Calc II was a weeder course, taught by a wonderful older prof who was as interesting as the subject. Made it t Calc III, that stuff is super interesting, and had a great prof there as well, one of the best. His tests were very hard. Stupidly, I was taking modern physics at the same time, which nearly broke me. Didn't do as well as I'd have liked in either class. And I also realized there were people in there that already knew all of this at a very high level, and weren't just learning it for the first time. An eye opener. One quiz, a fellow student looked at me and said "I don't know any of this." I agreed with him. The text had no examples, just answers. Not much internet back then either. Made it to Diff Eq, Calc IV. No curve, and the prof was very challenging and difficult, on purpose. His office hours were advanced. He once commented to me in his own brand of English "These students...they just aren't very good." I think he included me, but not sure. He was tough! I ended up only with a degree in Econ, I knew the physics would be very very hard and there were many that were better than I. the job I had in the computer lab turned into a career in networking. I still love learning physics and keep up with it. I believe anything that challenges us reveals to us who we are. It's not too late to give it another try. MIT OCW is a good resource! Recently found your channel and love the content, thank you!!
I really enjoyed this video and your channel in general. To be honest, ive struggled with math ever since long division got introduced in the 4th grade. It got worse when I joined the gifted program and I thrived in the gifted English and History classes but would work so hard and score like 30%s in gifted math and science classes. After I left the gifted program I managed to get As and Bs in a regular Geometry clasds in high school. Still, the fear of math was set in by that point, and I avoided math like the plague in undergraduate. Now im trying to get into math. So far ive gotten places in an Algebra and a Geometry book. Its still REALLY hard. My hope is to eventually do a sociology or education masters/phD and use math there. I have been trying to talk to mathematicians I know, but its easy to wind up feeling inadequate. Anyhow, thank you for this video, I think I too will enroll at my community college in a few math classes
Sir first of all thanx alot the way you encouraged Mike, few months back I asked almost the same question but unfortunately i didn't get the reply as English is not my first language so probably couldn't ask the question properly....I was and am in almost the same situation as mike, going to be 50 in couple of months time...my question is for guys like me and mike who simply love physics and mathematics simply cant learn anything else bcoz of the love for these subjects and to excel in any subject one has to have passion and love but at times probably our mental capabilities are not enough to fulfill that passion, still I think one should not give up, where I live I dont have any type of help available, dont have the option of joining college so max I could do is to watch youtube videos, so I totally agree if one can have the option of joining the class physically as you have advised, is the best and probably the only solution, and I would advise the Mike as well plz dont give up and just forget the past whatever has happened and just Nail it down. YOU CAN DO iT...Mike...tnx
Hey fly..I originally went back to school (50 here) with a plan to study Physics, found it INCREDIBLY difficult to solve the problem sets, so rotated to Math. It's hard, but I don't get stuck as much. I do hope to one day return to Physics again when I'm on my A game in math (I'm probably there now...but want to finish the math degree first!!)
This is so sad because this is how I felt after not getting my intended grade in A Level Mathematics and after I was DESTROYED upon attempting to do Statistics in college as a major. It's currently how I feel, living but not following my passion...so sad.
Math is just about practice and get familiar with concepts if you dont understand it it doesnt mean you are dumb I was the same too when I was in highschool I notice that my basic foundations skill isnt strong enough so I went back practice practice and practice the basic skills and now look at me I got straight A for math 10,11,12 and currently learning AI engineering
Alone from the complexity of his message can be assumed, he is very smart. University is not for everybody though. But because many people think learning, such as learning mathematics has to happen in academic way, these places will remain always the most important ones to verify your abilities.
Thank you, Professor. I mean, practice in Calc doesn't really help if the comprehension is zero. If the comprehension is lacking, it might be best to review Algebra and Trig. Memorize the unit circle and trig identities and really practice the algebra. Also practice arithmetic and multiplication tables to boost confidence and computation power. In-person classes are good but they can be cut-throat--especially when dealing with engineering students--so it is best to be prepared.
Gotta get those foundations drilled in until second nature. If it takes weeks or months. Pre Algebra, Basic Algebra, Pre Calculus, etc. Some basic math drills. Hammered in like math boot camp. Getting familiar with the rules, arithmetic, then basics of what functions are, then getting the gist of the limit process. And at that point, you are basically in calculus. You got your foot in the door.
I think I am pretty bad at math, but I believe I overcome it by being systematic. I document everything I learn and write into Microsoft Word documents and make all kinds of lists, charts and documents. Always when I figure something out, I write it down somehwere where I can find it with the language as if I would be reading it after I have totally forgotten everything about it, since I have zero trust on my memory. I also write down everything I have been though, even though I don't understand then - just to stay on track what i should know. I credit my avarage success to the ability of MS Word in which you can close headers. That ability makes MS Word incredibly helpful in documenting stuff, since you can just close the headers and all that is under it will just disappear behind the header. The ability to make this feature hierarchical has also been a huge help for me. Before this I just tried to keep track of everything with a paper folder, but that was a total mess and so was I. I belive I would never had passed Calculus without this method.
Hi, sometimes people struggle by understanding questions word by word, very exactly. But often you have to look behind these questions, the meaning behind it. People who fail are mostly not lazy or sth. like that. My prof used questions from a book and changed them - and they made no sense any longer. He apologized after the test, but I failed.... and everybody is thinking that I am stupid, lazy, whatever.. 😢
It is not being smart that is key but having wild hair! :) While I was born with good math intuition Physics kicked my butt. The math was fine but I would get lost in interesting aspects of the math and miss having that critical sense of what is the shortest and most fruitful path to a useful enough answer. Very different.
Very interesting topic and a common sentiment I believe. What I think (I'm not an expert mind you) is that some people need a little different angle of attack when it comes to math. The traditional way is to do pre-calc, then calculus and maybe linear algebra in parallel (this is how it was back in the day where I'm from). Mr Sorcerer you said it yourself that there are different paths into math when you do self study. Now Mike here couldn't get past the calculus course. Maybe there is a different way forward for him. Maybe he could do a little bit of set theory, or mathematical logic in general. For some people this highly abstract stuff is easier than symbolic & algebraic manipulations needed for limits, derivatives, integrals and so forth. Some minds need a kind of mathematical warm-up before going full throttle.
Probably lacks good algebra foundations/math maturity. Calculus is taught in Croatia in highschools and kids pass it habitually. Why? Because no one makes a big deal out of it. Just another math topic.
Exactly. The problems with calculus are just one thing: Bad knowledge of elementary algebra and trigonometry. Here's the guy has exactly the same problem. He got Swokowski's _Calculus_ but not Swokowski's _Elementary Algebra and Trig._ Trying to bypass elementary stuff is basically a catastrophe, i.e. everyone should fail math that way. People can't and shouldn't try to bypass the foundations.
I'm 38 and am part way through an economics masters at a top school. I'm taking math classes as an elective (such as real analysis). I'll be twice the age of some other students, which is annoying at times, but also kind of refreshing. I know I'd regret it if I didn't have a go. So what are you waiting for?
The prof was a lousy teacher. You failed the test because they failed to explain the subject concepts. Same thing happened to me, I kept doing calculus problem after problem, but I failed the first test> I realized the prof and book were worthless, so I began to go to prof office hours and asked them to explain the concepts and the how and why of calculus. I then got together with several other students who were floundering, and we did nothing but discuss our notes, the concepts, the how and why of calculus. Did the same thing with my physics/chem courses, and we all did very well. It came down to realizing that we were at a public research uni, and the profs not only didn't care about their students, the bulk hate teaching. So, it was up to us undergrads to figure things out....
hey Math sorcerer! I had a question. I am preparing for a math competitive exam, in which the following are the topics - Algebra, Calculus, Trigonometry, Combinatorics, Geometry, Real Analysis, Number Theory, Analytical Geometry. I have that exam in about 4 months from now, So I have little time. You also said that "give time to math, let math get absorbed into your mind, have patience, don't just learn formulae, understand the feel of math, slow down etc." so is it possible to prepare all these topics in 4 months while studying slowly and steadily? Thank you :)
Whoa that's a lot of topics! Have you studied them before? Because if so, depending on the depth, I would say probably. Because that's a lot like the topics that are on the Math subject GRE. However, if you are new to a lot of them, then I would say getting a thorough acquaintance with them is unlikely. Depending on the breadth of knowledge needed in each topic though, you could still do well in the exam though. Either way good luck!
That depends on the skills you have… If you know nothing about any of the above mentioned topics, then i guarantee that it is impossible to learn all of these in a 4 month time period. (Even if it is a easy exam) but if you already know something about these topics, you can try but it depends on the skills you have at present.
Your podcasts are of extreme quality and if you could pass them to The Math Sorcerer channel they would be a very very good contribution. Greetings from Spain.
The trick to learn everything : learn psychology , philosophy, sociology, literature. The idea is to understamd the meaning of words = the lessons you see on tutorials / books . And boom !
If Maths was easy everybody would be a PHD. The truth is like Wizard says, “ look at Jeffery Bezos” if intelligence exists on many levels then maths does as well. You just do it in a different capacity. So your not advancing set theory or the such but math is in every facet of life. Become an expert at what you know.
In middle school I would get a lot of math anxiety, especially during exams. And the two biggest things that helped me over come it was taking breaths, exhaustive practice, and, in the case of big equations, taking it step by step. When you are working with something really complex with a lot of parts, sometimes it is important to ignore the whole thing and focus on the individual pieces. For example, if you are doing algebra and get a big equations like x^2-7x+4z+1/(7y)-9x+2+x=3x+z^2-2z+y and are asked to simplify the equation. Then your first duty would be to combine like terms and you would hopefully begin by focusing only on one side of the = sign and looking only for instances of x, then only instances of y and so on. It's important to compartmentalize and look at the overall picture. Hopefully that helps a little. Also check your work and SLOW down, so many people mess up on questions because they go too fast.
Well sure, if you're not a genius you won't win a Poincarre price. Surely some people are born with the capacity to "see" solutions to complex problems quite more easily than the average Joe. But do you need to be a genius to become an engineer? Or even a mathematician? I don't think so. I studied ChemE here in Italy and the math curriculum is HUGE. I'm talking about complex calculus (with complex numbers) and linear algebra + some advanced math required for physics. I'm not a genius but still i was able to pass and even get decent grades just by studying a lot and following lectures. Some others friends of mine were much smarter but still failed... Remember: if getting a math/engineering degree was so hard and only geniuses could do it we wouldn't have so many math teachers and engineers XD
terrible experience but unwarranted personal conclusions. everybody who uses language (with very few exceptions) can learn mathematics. since all people are not the same the teaching method used may have to be different or modified accordingly but symbolism is the cornerstone and thus accessible to almost all of us. how people judge you can be as false as your account of your self.
The connection between language and mathematics is understated. I agree with you completely here, and many of us are shocked when we get to our first proofs class.
@@johnthejudoka i studied electrical engineering. back then (80s) i used to think it was obvious that math was the only available 'tool' to start the exploration of the world; now i have come to understand that language is even more decisive on asking the 'right' questions before you even formulate any mathematical model to study a phenomenon.
It's okay to fail a test, and even a course. But don't let it discourage you! Failing is a healthy and natural part of the learning process! It's how you grow! ("Every Level has Another Devil!") The key is to fail a lot but in a low-stakes environment, where there's no real penalty for failure other than your own motivational drive to keep improving! Ideally, you should be failing but learning and improving *before* you take a big test, or at least *before* the final grades in your courses. If you're not learning enough in the meantime, then you need to talk to your professors and classmates for guidance. You can also get enough failure before signing up for a course, if you have concerns about money. Just reach out to other people and consult other books if you need help learning from your struggles. When studying, try to imagine teaching it and explaining it to someone else. It's even better if you have a real person to do that with. Try to turn the material into something you can have a conversation about. You'll really understand it and remember it better that way. Remember that you're only struggling because you're doing a great thing, and that makes you *HEROIC* in my mind!!!! Remember that education is like blacksmithing: the products of the craft are also the tools of the craft. If you learn anything, including Calculus, then the sky is the limit when it comes to the possibilities of what you can do with it! Your imagination will be enriched as you gain more experience and understanding!
I don't want to fail a Course, but I think it would be interesting to repeat one! When I take classes that recover some of the same material I learned earlier...it's amazing how much more sense it all makes the second time through! First time I'm struggling to decipher the meaning every 3rd obscure math term, second time I have a basic idea of what 90% of it means just listening to the lecture.
Sir, I have my Own four theorems made by me.this theorems you show on your channel so you get most of views. This theorems are very interesting. If you have interest so contact me by re comment . Thank you Himanshu Sharma
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Im 19, and there is a guy in our university that looks kind of 40. So i assumed that he is just another mathematician, maybe a lecturer at the faculty. But my friend told my that he is actually a second year math student. Since I've learned this I always look at him with tons of respect. He is not only studying math but also sharing a lot of his knowledge with fellow student, I always see him talking to guys my age.
So never stress going to university purely because of age, cause you will still be accepted there as a passionate mathematician-wannabe.
Wish you luck guys
Thank you 💖
Wonderful
Maybe he just looks old lol
@@waffelo4681 Nah, hahaha
He's 40 something, my friend talked to this guy
@@piotrek3650 oh wow
Are you smart enough to study math? Is your IQ high enough? These are all questions I asked myself...Finally it dawned on me. I think the better question should be: Are you willing to put in the work? Are you willing to sacrifice? Are you willing to make it a priority?
I think those questions are misleading and caused by school system. Because they can't teach the correct way, they think and make students think that problem is STUDENTS. I believe everyone has a WAY of learning things, and most people can learn anything with a correct technique (technique that is suitable for them.) Then I learned that a great physicist Feynman agrees with me.
Thank you ❣️. May the Almighty guide you in becoming a great mathematician. Keep it up ❤️
@@lifefan1 I think to both of your points, change is needed. Students need accountability (learning how to learn - which requires work and self reflection) and the system needs to allow for more dynamical learning environments. Maybe I am missing something, but everyone I have encountered who loves learning, is a fan of education, just not necessarily a fan of school.
@@curiousaboutscience Learning how to learn is extremely important if not the most important thing in my opinion. And yes I think everyone has some interest too.
@@curiousaboutscience Also, I think students should be taught soft skills, planning, time management etc which are really important skills.
Hey Mike! 50 year old here studying math at a 4 year college. Don't worry about fitting in, I have a blast in my class....most of the kids are pretty shy and don't interact much with the professor, so the instructors really seem to like having me around. I think they like to know someone is awake and paying attention:). Math is HARD no doubt, bit if you really want to learn you can find enjoyment in the process of studying and completing problem sets (even though when you get stuck is can be frustrating). I do a heck a lot of googling getting ideas on how to complete proofs, etc... you don't have to figure it all out yourself!
So inspiring to read this! Keep it up man
Chatgpt is wonders with creating new problems for you to solve and checking problems your stuck on that you just can’t seem to figure out.
this made me tearful. growing up with untreated adhd for most of my life up until this point, i was deeply deeply hurt in math classes. it was like id learn and understand the formulas, then the next moment theyd just be gone. i couldnt retain them whatsoever, and usually i couldn't pay attention enough to learn them, period. i remember crying in the bathroom during one of my finals in math because the equations looked like another language and i had no idea what to do and it was too late to learn or remember, so i went home without finishing. i honestly cant recall ever getting higher than a D in any math class and never really got past algebra 2 which is HUGELY shameful for me. but now that i am being treated, math feels navigable, and i have faith that if i stick to it i could really fulfill my potential ;0; channels like this, they make this goal feel even more achievable, as math and people who are good at math (imagine that :p) dont seem so intimidating anymore !! so thank you for this c:
Can you tell me where you are?
I feel very similar right now, albeit to a lesser extent but still.
26 Years old, trying to go back to school right now to pursue computer science. Got into a local community college, but struggling hard with Calculus 1 at the moment. This video encouraged me to keep it up and just keep trying to practice every day. I think I can do this!
I think the distress the writer has is he has good physics intuition but can't convert it to math. So he, understandably, doesn't want to just walk away and do something else. I can definitely relate. If he decides to keep going, he should get a different book. If a book doesn't work for me I don't just put it aside; I get rid of it. There are other books.
That's a lovely insight. It's really helpful.
Also, sometimes reviewing the basics of something you though you knew (algebra and Trig in my case) actually helps figuring out problems. A lot of people's early hatred and refusal to do math comes from poor instruction that either went by too fast or in a rote manner that really didn't prepare them to exercise their thinking "muscles".
I'm of the opinion that while you definitely don't have to be "Good" at math, working on something that you struggle with is a good thing. If that means you're forty and need to go back to doing back of the napkin arithmetic, go for it. Whatever you don't use you loose, from a neurological standpoint, so challenging ourselves intellectually with whatever things we can is a good habit to build.
@@katydid5088 Yeah that's a good point. I said once you can't go "slumming" in math. I can do a Fourier series and still get thrown by a basic high school algebra technique. Review, even of what you've already "mastered," is always fruitful.
same. there are too many books out there to focus on ones that i dont like. find books that compliment your learning style. the only way to know is by going through more and more books.
It is demotivating sometimes. I know. I am 55 years old and I started my Physics graduation when I was 52. Just as a hobby. My brain isnt the same when I was 15 but my passion for learning new things stiil is. Until I live I will always give me the chance to understand new things. I dont have the books. I study though the videos from the utube and from the online Physics course lessons. Math makes Physics beautiful. Although I get stuck in many calculus, that doesn't bother me anymore. Yesterday I was doing an exercise to understand the Physics involved. It was just ok but then , the last step came Math. I just had to divided 1/ permeability times permissivity squared and negative power. The result would be the speed of light. 3×10^8. I did something wrong. It was the math. Man, i didnt give up. I know the answer and found what i was doing wrong. Sometimes it is a simple thing you couldnt see sometimes it is something you really didn't know. Sometimes it is your limiitation. Even great scientist count on better people than them. If I cant finish a calculus I ask somebody who is good at it to help me. I will graduate this year 2023. I almost gave up. But I didn't. I live in Brazil. Things are not easy. So dont give up. Whereever you are believe you can do it. ❤❤❤❤
¡Gracias!
gracias!!!
I have heard too many people say something like "I used to like math until I had this one teacher..."
Please, don't let one bad experience discourage you or make you think you're bad at math. Some teachers, alas, just aren't very good. Some are good at some parts of the job but not others. Some may just have something about them that you, personally, just don't "click" with (like their way of explaining things, or structuring their class, or writing tests), but you'd do just fine taking the same class from a different teacher.
0:45 The problems on the test were nothing like in the homework. No need to say anything else. It was the teacher’s fault.
You’re the best! I feel that no one else on planet earth is worse at math than me. But watching your videos give me hope that I can one day achieve my dream of becoming an engineer. Thank you!
Same here! I wish you luck with your goals!
May with the blessings of the Almighty you achieve what you truly desire.
Great to hear you're going to challenge your thinking on what you are capable of. I'm also 50ish... and trying to expand my mathematical horizons (reviewing all the stuff I did in high school).
It might also be an idea to review pre-calc and algebra just to be sure that you have a good foundation with no big knowledge gaps. This might also give you confidence and reinforce what you know before tackling something harder.
I think that being a mature age student gives you an advantage in that you have so many years of life experience to bring to the table. I have five kids on the autism spectrum (one mathematical genius (admitted to university at 15 years old), one regular and three who hate mathematics).
I know that this condition can have a profound effect on learning and knowing how you process information could be a good starting point. Whether that be sensitivity to the sensory world or learning style.
I would suggest that you look into the work of Dr Temple Grandin who writes about what it's like to be on the spectrum. She talks about different types of autistic minds and knowing which type you are could really help you understand how you learn. She has a website plus there are a few of her talks on youtube.
There are four main types
1) Photo Realistic Visual Thinking;
2) Pattern Thinker;
3) Verbal Facts Language Translation Thinking; and
4) Auditory Thinking
Calculus can be tricky because its abstract and visual people often have trouble trying to create an image in their minds to understand it. While they find topics like arithmetic and geometry and physics easy because you are often given visual aids.
You might find you prefer reading (maybe look at some other books that are free online), hand writing (notes and working out problems) or maybe typing is your thing, youtube videos or taking a class (online or face to face) or maybe get a penniless university student to tutor you once a week. These days there are so many options available to you it's about finding the right fit for you.
Amazing advice as always! I tutor/instruct a lot of calculus and I can say that it is definitely not easy for everyone and there are a lot of extremely intelligent people who struggle with it. So try not to let it weigh you down, even though that may be easier said than done. I think going to a class is a great idea! It would also be great if you could maybe become part of a study group, in undergrad I had an amazing study group and we were able to save each other from drowning in content many a time (it is also a good way to make lots of math friends which is always nice).
I'm so glad I found your channel! This video is startlingly relevant to me currently. I just decided to go back to college to finish my first degree and go on to lord know's what next lol
I'm 28, almost 29, and I haven't really done mathematics in so long. I used to tutor independently up to Calc II, and I was great at explaining the material in digestible and fun ways to other people, but I struggle INCREDIBLY much with self doubt and fear. I actually got a 30 on my first calc II exam because I second guessed almost all of my correct answers. My professor even told me that I was getting the background and the heart of the mathematics better than he did (maybe he was just being nice), but that my lack of confidence was destroying my results and ability. I ended up getting a B and dropping college a year later to focus on my personal and medical issues for 7 years.
I just started physics this semester, and I've forgotten 99% of all my previous math knowledge. I'm pretty terrified haha. I'm juggling my jobs, being completely on my own with no family for support, and I'm trying to figure out what the hell I actually want to do as a career.
I adore particle physics, and I find higher level maths to be incredibly rewarding and centering when I get into the groove of things, but starting back from almost zero is so daunting.
I'm putting in all my effort though! And I'll be reccomending your channel to any of my classmates who will listen, and to all of my future "pupils" that I hopefully get to tutor. I really want to get back to where I used to be in maths, even if I decide to go full chemistry or biochem/orgochem instead of astrochem or something else more maths and physics heavy.
Thank you again for your work. It's wonderful to see someone like you making such accessible and heartening content :)))
This was only the second video of yours I've watched. Your kindness is particularly impressive; it's a strength commonly overlooked in teaching. I am going to share this video in the hope it will help someone. Thank you.
I am on your youtube channel referring our intern to your class. Best math professor ever!
Thank you, after watching your channel and aplying the improvement methods you share i have improved in maths so much I love maths now because of you so thank you.
My message to the OP,
Listen man, I'm so sorry this happened to you and this is how you felt. I was in a similarly situation in the past, and what I realised that how you do in a test is not a reflection of your abilities or your identity. From your message I'd say your preparation was inadequate. Why did you do the homework three times? You should have done that homework once, looked at what was hard, and only re do those questions. You then should have find further problem sets in an escalating difficulty. Whenever you prepare for any test, you need to do questions similar to those questions in your preparation. That's what makes the difference. Effort alone is not enough, it's must be the right effort. Please don't allow that exam to define your self worth. That exam only measured your preparation not your mathematical ability.
You are needed for adult learners these videos alone are helpful. I totally relate to this person. Thank you for this
I understand Mike's pain. For me, I aspired to go into medicine. But, I did not pass 1st year calculus. There were no redos at my university so I had to switch my major. Now I am a math interventionist at an elementary school. It does bother me still that I could not wrap my head around the 200 theorems and 100 proofs that I had to master in the first semester of university and also felt not as "smart" as I wanted to be. But, as an older student, you have wisdom. You will know how to manage your time, you now have tools (the computer/you tube) to help you if you get stuck, and you certainly won't worry about what your peers will think if you start asking questions. Going back to take a class is a great idea. Good luck in your math journey. I picked up the Stewart book (who was a prof at McMaster University....and I went at the time when we students were the "editors" of his new calculus book he was publishing. back in the 1980s!...)
Another video hits home.
I got laid off in '08 and went back to college to ride out the coming recession. I was about 36, with many accumulated community college classes. I decided to take as much math as I could and ended up with a bachelor's in math with an emphasis in prob & stats, but I am still a man of letters, having a minor in political science and remaining an avid reader (occasionally of actual books).
Some of those math classes were brutal, including prob theory & stat theory. Calc 1 was hard, but strangely: Calc 3 was an absolute blast, professor quality matters, as does the mentality of the class: Calc 1 still seems like a "screen" class for many colleges/professors.
I didn't grok some things as well as I would have liked, but classes can't slow down for the older guy bent on understanding all the things. I've known that self study at my own pace is the answer for a long time now. On the bright side, I have a nice whiteboard with lights & a camcorder: I think the pace of whiteboard writing is just different from using electronic tools, and if my self study can help others, so much the better.
Because I found this channel as part of opposition research in the first place :) but seriously, "How to do prob/stats" videos could go a ways towards helping me escape wage slavery (the database consultancy work I'm now doing fills in the biggest gap of stats students: the handling of ugly data).
But first, I have to cast off a few decades of feeling dumb, even though I have a math degree.
You are absolutely right about different people having different strength in learning different fields or skills. It is recognised as theory of multi-intelligence.
I relate heavily however I'm 24 and I succeeded in calculus, struggling with analysis and differential equations. Right now I need a way to make those exam sessions less taxing on my psyche. I can't handle being that stressed for that long each time I have exams, to the point of having recurrent nightmares of passing them... If I pass, good, if I don't, it shouldn't be such a big deal, but I can't convince myself it isn't.
Honestly i feel like crying watching this video
Im sophomore in high school and math is fairly easy rn but i just feel so lost bc i didnt practice for years. I wanna start but im not sure how
I like learning, and am a math major. But I feel that the classes which there’s no stakes to do well in (grade wise) I learn so well and have fun! The fun is taken out for me for anything when there’s a grade requirement attached :(
I failed or dropped out of many Math classes, but I've always loved the subject. And, of course, I love math books, especially those considered classics or among the best of their field. Great channel
Thank you so much Michael for sharing. A lot of us share very similar situations and feelings. You're not alone out there. Sharing your story helps give me the courage to keep studying!
And thank you MS for making this video!
I went through a pretty similar situation. Worked for a few years after attending college and not doing well but then doing well with an associates in electronics. Went back to a big school because I felt I needed to get a bachelors. That choice had ramifications. I thought I would be smart and double major in economics and physics, how hard could it be. Well, it was very hard. I worked and played in a cover band to make money. I didn't sleep much.
I bombed Calc I in summer school, not a good teacher, had issues with calc-based physics, of course. Got a better teacher for Calc I and started to understand it, but still, a tough slog. I can remember one of the TAs in Calc II shake her head at one of my quizzes. Humbling, but welcome. Calc II was a weeder course, taught by a wonderful older prof who was as interesting as the subject. Made it t Calc III, that stuff is super interesting, and had a great prof there as well, one of the best. His tests were very hard. Stupidly, I was taking modern physics at the same time, which nearly broke me. Didn't do as well as I'd have liked in either class. And I also realized there were people in there that already knew all of this at a very high level, and weren't just learning it for the first time. An eye opener. One quiz, a fellow student looked at me and said "I don't know any of this." I agreed with him. The text had no examples, just answers. Not much internet back then either.
Made it to Diff Eq, Calc IV. No curve, and the prof was very challenging and difficult, on purpose. His office hours were advanced. He once commented to me in his own brand of English "These students...they just aren't very good." I think he included me, but not sure. He was tough!
I ended up only with a degree in Econ, I knew the physics would be very very hard and there were many that were better than I. the job I had in the computer lab turned into a career in networking.
I still love learning physics and keep up with it. I believe anything that challenges us reveals to us who we are. It's not too late to give it another try. MIT OCW is a good resource!
Recently found your channel and love the content, thank you!!
I really enjoyed this video and your channel in general. To be honest, ive struggled with math ever since long division got introduced in the 4th grade. It got worse when I joined the gifted program and I thrived in the gifted English and History classes but would work so hard and score like 30%s in gifted math and science classes. After I left the gifted program I managed to get As and Bs in a regular Geometry clasds in high school. Still, the fear of math was set in by that point, and I avoided math like the plague in undergraduate.
Now im trying to get into math. So far ive gotten places in an Algebra and a Geometry book. Its still REALLY hard. My hope is to eventually do a sociology or education masters/phD and use math there. I have been trying to talk to mathematicians I know, but its easy to wind up feeling inadequate. Anyhow, thank you for this video, I think I too will enroll at my community college in a few math classes
Sir first of all thanx alot the way you encouraged Mike, few months back I asked almost the same question but unfortunately i didn't get the reply as English is not my first language so probably couldn't ask the question properly....I was and am in almost the same situation as mike, going to be 50 in couple of months time...my question is for guys like me and mike who simply love physics and mathematics simply cant learn anything else bcoz of the love for these subjects and to excel in any subject one has to have passion and love but at times probably our mental capabilities are not enough to fulfill that passion, still I think one should not give up, where I live I dont have any type of help available, dont have the option of joining college so max I could do is to watch youtube videos, so I totally agree if one can have the option of joining the class physically as you have advised, is the best and probably the only solution, and I would advise the Mike as well plz dont give up and just forget the past whatever has happened and just Nail it down. YOU CAN DO iT...Mike...tnx
Hey fly..I originally went back to school (50 here) with a plan to study Physics, found it INCREDIBLY difficult to solve the problem sets, so rotated to Math. It's hard, but I don't get stuck as much. I do hope to one day return to Physics again when I'm on my A game in math (I'm probably there now...but want to finish the math degree first!!)
@@tvstation8102 huge inspiration buddy thanx !!! me also thinking about joining some online course...(only option for me)......
This is so sad because this is how I felt after not getting my intended grade in A Level Mathematics and after I was DESTROYED upon attempting to do Statistics in college as a major. It's currently how I feel, living but not following my passion...so sad.
This was so beautiful :) Thank you
👍
Math is just about practice and get familiar with concepts if you dont understand it it doesnt mean you are dumb I was the same too when I was in highschool I notice that my basic foundations skill isnt strong enough so I went back practice practice and practice the basic skills and now look at me I got straight A for math 10,11,12 and currently learning AI engineering
Thank you so much for your words man! I'm loving this channel
Damn! I like that one. “Be a rock star. Be that dude .. the old guy whose back. . To crush it.” Yes.
Alone from the complexity of his message can be assumed, he is very smart. University is not for everybody though. But because many people think learning, such as learning mathematics has to happen in academic way, these places will remain always the most important ones to verify your abilities.
We appreciate your videos. They definitely help us out a lot.
Thank you, Professor. I mean, practice in Calc doesn't really help if the comprehension is zero. If the comprehension is lacking, it might be best to review Algebra and Trig. Memorize the unit circle and trig identities and really practice the algebra. Also practice arithmetic and multiplication tables to boost confidence and computation power. In-person classes are good but they can be cut-throat--especially when dealing with engineering students--so it is best to be prepared.
Gotta get those foundations drilled in until second nature. If it takes weeks or months. Pre Algebra, Basic Algebra, Pre Calculus, etc. Some basic math drills. Hammered in like math boot camp. Getting familiar with the rules, arithmetic, then basics of what functions are, then getting the gist of the limit process. And at that point, you are basically in calculus. You got your foot in the door.
I think I am pretty bad at math, but I believe I overcome it by being systematic. I document everything I learn and write into Microsoft Word documents and make all kinds of lists, charts and documents. Always when I figure something out, I write it down somehwere where I can find it with the language as if I would be reading it after I have totally forgotten everything about it, since I have zero trust on my memory. I also write down everything I have been though, even though I don't understand then - just to stay on track what i should know.
I credit my avarage success to the ability of MS Word in which you can close headers. That ability makes MS Word incredibly helpful in documenting stuff, since you can just close the headers and all that is under it will just disappear behind the header. The ability to make this feature hierarchical has also been a huge help for me. Before this I just tried to keep track of everything with a paper folder, but that was a total mess and so was I. I belive I would never had passed Calculus without this method.
Recently I've got the meaning of fractions
Hi, sometimes people struggle by understanding questions word by word, very exactly. But often you have to look behind these questions, the meaning behind it. People who fail are mostly not lazy or sth. like that.
My prof used questions from a book and changed them - and they made no sense any longer. He apologized after the test, but I failed.... and everybody is thinking that I am stupid, lazy, whatever.. 😢
It is not being smart that is key but having wild hair! :) While I was born with good math intuition Physics kicked my butt. The math was fine but I would get lost in interesting aspects of the math and miss having that critical sense of what is the shortest and most fruitful path to a useful enough answer. Very different.
Very interesting topic and a common sentiment I believe. What I think (I'm not an expert mind you) is that some people need a little different angle of attack when it comes to math. The traditional way is to do pre-calc, then calculus and maybe linear algebra in parallel (this is how it was back in the day where I'm from). Mr Sorcerer you said it yourself that there are different paths into math when you do self study. Now Mike here couldn't get past the calculus course. Maybe there is a different way forward for him. Maybe he could do a little bit of set theory, or mathematical logic in general. For some people this highly abstract stuff is easier than symbolic & algebraic manipulations needed for limits, derivatives, integrals and so forth. Some minds need a kind of mathematical warm-up before going full throttle.
Much respect to you sir
The advice of half an hour every day is amazing advice.
Right!!...Be a rock star!
Probably lacks good algebra foundations/math maturity. Calculus is taught in Croatia in highschools and kids pass it habitually. Why?
Because no one makes a big deal out of it. Just another math topic.
Exactly. The problems with calculus are just one thing: Bad knowledge of elementary algebra and trigonometry. Here's the guy has exactly the same problem. He got Swokowski's _Calculus_ but not Swokowski's _Elementary Algebra and Trig._ Trying to bypass elementary stuff is basically a catastrophe, i.e. everyone should fail math that way. People can't and shouldn't try to bypass the foundations.
I'm 38 and am part way through an economics masters at a top school. I'm taking math classes as an elective (such as real analysis). I'll be twice the age of some other students, which is annoying at times, but also kind of refreshing. I know I'd regret it if I didn't have a go. So what are you waiting for?
Touching so much
The prof was a lousy teacher. You failed the test because they failed to explain the subject concepts. Same thing happened to me, I kept doing calculus problem after problem, but I failed the first test> I realized the prof and book were worthless, so I began to go to prof office hours and asked them to explain the concepts and the how and why of calculus. I then got together with several other students who were floundering, and we did nothing but discuss our notes, the concepts, the how and why of calculus. Did the same thing with my physics/chem courses, and we all did very well. It came down to realizing that we were at a public research uni, and the profs not only didn't care about their students, the bulk hate teaching. So, it was up to us undergrads to figure things out....
Dd
hey Math sorcerer! I had a question. I am preparing for a math competitive exam, in which the following are the topics -
Algebra, Calculus, Trigonometry, Combinatorics, Geometry, Real Analysis, Number Theory, Analytical Geometry.
I have that exam in about 4 months from now, So I have little time. You also said that "give time to math, let math get absorbed into your mind, have patience, don't just learn formulae, understand the feel of math, slow down etc."
so is it possible to prepare all these topics in 4 months while studying slowly and steadily?
Thank you :)
Whoa that's a lot of topics! Have you studied them before? Because if so, depending on the depth, I would say probably. Because that's a lot like the topics that are on the Math subject GRE. However, if you are new to a lot of them, then I would say getting a thorough acquaintance with them is unlikely. Depending on the breadth of knowledge needed in each topic though, you could still do well in the exam though. Either way good luck!
That depends on the skills you have…
If you know nothing about any of the above mentioned topics, then i guarantee that it is impossible to learn all of these in a 4 month time period. (Even if it is a easy exam) but if you already know something about these topics, you can try but it depends on the skills you have at present.
@@hussainfawzer only Number theory, Euclid geometry, Complex Numbers are not done
don't do math, feel it
Your podcasts are of extreme quality and if you could pass them to The Math Sorcerer channel they would be a very very good contribution. Greetings from Spain.
I have to confess that Khan academy math videos helped me a lot .
I used the Khan academy to review calc before going back to college....it revived all my dormant Calc skills quite well
He needs a base with at least 2 years (3-4 times/week) before even think the thought to begin. Of course he will make it ☺️☺️🤘✌️✌️
Could you make a video on Intruduction to Analysis by Arthur Mattuck?
Sorcerer - how do I write you like he did. I would love your help & support on my math journey and I think its a relevant one for your audience.
On my about page you can find my contact info
@@TheMathSorcerer Thank you so much!
Para saber dibujar hay que tener buen pulso y sentido estético. Para hacer matemáticas hay que ser sistemático y tener sentido de la intuición.
I am 60 ,
The trick to learn everything : learn psychology , philosophy, sociology, literature.
The idea is to understamd the meaning of words = the lessons you see on tutorials / books . And boom !
If Maths was easy everybody would be a PHD. The truth is like Wizard says, “ look at Jeffery Bezos” if intelligence exists on many levels then maths does as well. You just do it in a different capacity. So your not advancing set theory or the such but math is in every facet of life. Become an expert at what you know.
How do I stop overthinking big equations
In middle school I would get a lot of math anxiety, especially during exams. And the two biggest things that helped me over come it was taking breaths, exhaustive practice, and, in the case of big equations, taking it step by step. When you are working with something really complex with a lot of parts, sometimes it is important to ignore the whole thing and focus on the individual pieces. For example, if you are doing algebra and get a big equations like x^2-7x+4z+1/(7y)-9x+2+x=3x+z^2-2z+y and are asked to simplify the equation. Then your first duty would be to combine like terms and you would hopefully begin by focusing only on one side of the = sign and looking only for instances of x, then only instances of y and so on. It's important to compartmentalize and look at the overall picture. Hopefully that helps a little. Also check your work and SLOW down, so many people mess up on questions because they go too fast.
I suck at Math but I don't care for it I only study it for fun, and it's fun just fun.
My man has some demons
Well sure, if you're not a genius you won't win a Poincarre price. Surely some people are born with the capacity to "see" solutions to complex problems quite more easily than the average Joe. But do you need to be a genius to become an engineer? Or even a mathematician? I don't think so.
I studied ChemE here in Italy and the math curriculum is HUGE. I'm talking about complex calculus (with complex numbers) and linear algebra + some advanced math required for physics. I'm not a genius but still i was able to pass and even get decent grades just by studying a lot and following lectures. Some others friends of mine were much smarter but still failed...
Remember: if getting a math/engineering degree was so hard and only geniuses could do it we wouldn't have so many math teachers and engineers XD
terrible experience but unwarranted personal conclusions. everybody who uses language (with very few exceptions) can learn mathematics. since all people are not the same the teaching method used may have to be different or modified accordingly but symbolism is the cornerstone and thus accessible to almost all of us. how people judge you can be as false as your account of your self.
The connection between language and mathematics is understated. I agree with you completely here, and many of us are shocked when we get to our first proofs class.
@@johnthejudoka i studied electrical engineering. back then (80s) i used to think it was obvious that math was the only available 'tool' to start the exploration of the world; now i have come to understand that language is even more decisive on asking the 'right' questions before you even formulate any mathematical model to study a phenomenon.
Gardners Theory of Multiple Intelligences
Anyone want to learn math together? I'm reading Discrete Math by Rosen.
It's okay to fail a test, and even a course. But don't let it discourage you! Failing is a healthy and natural part of the learning process! It's how you grow! ("Every Level has Another Devil!")
The key is to fail a lot but in a low-stakes environment, where there's no real penalty for failure other than your own motivational drive to keep improving! Ideally, you should be failing but learning and improving *before* you take a big test, or at least *before* the final grades in your courses. If you're not learning enough in the meantime, then you need to talk to your professors and classmates for guidance.
You can also get enough failure before signing up for a course, if you have concerns about money. Just reach out to other people and consult other books if you need help learning from your struggles.
When studying, try to imagine teaching it and explaining it to someone else. It's even better if you have a real person to do that with. Try to turn the material into something you can have a conversation about. You'll really understand it and remember it better that way.
Remember that you're only struggling because you're doing a great thing, and that makes you *HEROIC* in my mind!!!!
Remember that education is like blacksmithing: the products of the craft are also the tools of the craft. If you learn anything, including Calculus, then the sky is the limit when it comes to the possibilities of what you can do with it! Your imagination will be enriched as you gain more experience and understanding!
I don't want to fail a Course, but I think it would be interesting to repeat one! When I take classes that recover some of the same material I learned earlier...it's amazing how much more sense it all makes the second time through! First time I'm struggling to decipher the meaning every 3rd obscure math term, second time I have a basic idea of what 90% of it means just listening to the lecture.
Sir, I have my Own four theorems made by me.this theorems you show on your channel so you get most of views. This theorems are very interesting. If you have interest so contact me by re comment . Thank you Himanshu Sharma
Sorry but life is not a Disney movie. Truth hurts. Not everyone has it.