Like being good at many other things, (guitar for example) it takes hours of practice every day; and a passion for putting in hours of working at it every day.
Yeah, study it, be patient and you'll be good at it, too. In the researching field a lot of times it's the "normal" mathematicians and not the "geniuses" the ones that solves problems bc. the first learnt resilience and pacience while the latter understood everything quickly... until while researching they didn't
@@artraudgaming3575all you need to be good at math is a good teacher in high school and the belief that you aren’t somehow genetically inferior in your math genes.
Comprehensible experiences are crucial for learning. Really difficult to move forward in any topic of skill w/o the previous experience to make it make sense.
Seifert-Van Kampen theorem is a deep theorem in algebraic topology. Based on what was written on the board, I see the lecture is covering a second semester course content in alg topo. This will never appear in math 55, which seems to cover standard undergrad math + some small bits of grad math (ex. basic analysis on smooth manifolds). Dont get me wrong: that’s still a lot to cover in two semesters. But I highly doubt you actually went to a math 55 lecture to film that footage. Forgive me if I’m wrong. I go to Berkeley for math and physics, and I’d assume the expectations here are much lower than at Harvard. 🤷♂️
The Seifert-Van Kampen theorem is just a statement about how to compute the fundamental group of a topological space when you have information about the subspaces which make it up. It's not something you'd really encounter unless you've studied algebraic topology before, but with the right background, the concept is not hard to grasp
Hi- I was enrolled in this course AY22-23 and yes Professor Green is the best! While 55 is often regarded as the hardest math course at Harvard, many math students including myself will tell you it is because of the workload, not so much the material itself. I must say however 60 hours a week is simply not true (not sure where that number came from!), but many of peers did report up to 35 hours a week on assignments for 55😬 For those interested in math curious about what the course entails, it’s essentially a Gaussian view of set theory with lots (and I mean lots) of summation gradient networks😭
That doesn't mean anything to me If he doesn't teach maths in an understandable language to me and explains well then I don't care The only thing that matters to me is for those university Einsteins to teach in a language I can understand
imaging youre one of the best in your country and still way and still fail the beginner class as high performer. now the poor fellas must suck for 5bucks behind wendys garbage bins. thoughts and prayers for those poor souls!😢
I’m sure at that level it’s easy for the professor to teach in a way that is more of a dialogue with highly capable students despite the challenging subject
@@FedeBertthe course overall is Algebra and Group theory with the second semester being real and complex analysis with a little bit of algebraic topology.
Half a class is the professor, so if he’s happy to help, and he’s actually as sweet as he looks, then I’d take math 55, definitely fail it, but I’d take it.
@@MageOfLuckA professor has adults paying to learn. Most Teachers have a mixed bag of brilliant to special needs in a class. Professors don’t care about attendance as students can come and fail as they please. Teachers are wondering how to get so and so catch up with lack of attendance.
My man went from giving high school study tips to giving college study tips to giving financial tips to playing Minecraft to finally becoming a student once again 😂
Yeah lol. He just wanted to make a catchy video to get people to react and watch. Math 55 is basically Calc 1 and 2, plus some complex linear algebra. All pretty standard in most stem fields in any school in the US. Definitely not the hardest lol
I studied at Harvard and graduated 6 years ago, and took math 55 and passed it with ease, but it was very stressful and thank God I did, it has gave me so many job opportunities and promotions having the knowledge of it. (I don’t care if you believe me or not, I’m just proud of life)
That's so true, only recently I have become human again after getting all the credits for my degree. Before that I could have been locked in my room and you couldn't really tell the difference.
For one class. Most students take at least 4 classes a semester. Which is 260hrs... which is like idk... a hundred more hours than there are in a week if you didn't sleep. It's weird how many people agree with you.
Ever had that nightmare where you are suddenly 3 years old and can't speak a full sentence? This is the classroom where that dream manifested into reality.
Sometimes I wonder if math is hard because of the concepts alone or if it's hard because there's a time limit on how much you are taught and can review at one time
It’s the latter, these teachers that never did nothing with their mathematics but studied for years learning equations, expect you to learn just as much as them within a semester.
I don’t think advanced maths is taught in enough in school so students are lost when they get to university. They don’t have the basic skills, and can’t catch up like you can with say history or literature.
@@violett874That's because after you learn arithmetic they have zero creativity in the way that they teach it. They don't engage with students interests, which is how you engage with the student's mind. They just want to stick to formulas. I had a math teacher which was probably my best math teacher I ever had in school and he did something similar to what is now referred to as Khan academy style. This would have been before Khan academy. And that's considered innovative 😂. Don't get me started on the overuse of calculators. The best book I ever read for math is child craft "mathemagic". Because it engages the mind with creativity, stories (not word problems) history, puzzles. There are very few students who are incapable of learning of great significance. It's just some kids learn differently and if you're sticking to the same formula of education, then of course you're going to get the same results. I do agree with you however that a lot of times, teachers do not have a better education with mathematics early on.
Its hard because you have to read alot lol. Atleast thats how it is for proof-based classes. The ones that engineers take? You dont need to read much. They use algebra like a coding language lmfao.
I love teachers that smile during class genuinely. It shows they actually care about what they're doing and it makes me happy that they've found a profession theu love.
@@jelcoleys8087 I think what people call "humble bragging" is just those who have been called smart their whole lives finally realizing they're not that gifted in the grand scheme of things.
