I visited the world's hardest math class

Who came here from the short😂👇👇💯

I appreciate how much you point out how human advanced courses like these are. Hollywood likes to portray upper math courses like these as extremely cutthroat, sink-or-swim. But in reality these classes often involve a lot of collaboration, talking with professors openly and honestly, mutual curiosity in the subject, and lax grading. When I took quantum mechanics in my undergrad, everybody in my class ‘cheated’ by working together on our tests and quizzes. We did that because we all agreed that quantum mechanics isn’t something to be learned alone. We were just trying to understand the material the best we could. My second semester understood that very well, so he encouraged us to turn in assignments as a group, re-explain concepts on the whiteboard, take a stab at explaining things differently, etc.

The kinda sad thing is that lots of people never liked math or like math because of a bad teacher which can make everything seem like it’s much harder than it really is Edit: Dang I didn’t know this was that relatable

" as the letters turned into Hieroglyphics" got me rolling so bad 😂

Mid-way through the video, coming from someone that's learning college math right now, the lessons in Math55A are topics you would learn in year 1, 2 (Linear and Abstract Algebra respectively) and Representation Theory is something you're more likely to learn as a grad student. 55b's Real and Complex Analyses parts are something you'd learn in year 2-3, while Algebraic Topology is either 4th or in grad level

everyone: this is the hardest math class in the world me: I bet the professor is using hagoromo chalk

I’m a second year CS student in University, saying I love maths and physics is an understatement. Throughout my self study journey I taught myself Linear Algebra, Calc I-III, Differential Equations, working on Differential Geometry and Topology atm. Math 55 had always been somewhat of a dream of mine but unfortunately I’m not from the U.S nor have the budget for Harvard lol. Thanks allowing me to see for myself a glimpse of what I’ve always dreamed of 🙏🏻

Math, especially higher level math, has this beauty that occurs when you're working proofs, like a giant jigsaw puzzle that comes together in the most wonderful way and almost always interlocks with other bigger puzzles. This class seems exactly like that. I was passionate about math in college, but also long past my time to go to college again thanks to how expensive it is, and sadly it's not that useful when building a career. I'll remember my time with math fondly.

One of my longtime friends got into harvard this spring, and is planning to take this course. He has no math olympiad background and took calc bc in senior year, which is wayyy behind the other kids in this course, but I know he is going to do well. To do this course, it doesnt require really strong math skills, but hard work, determination, and passion for math Also after reading a lot of the comments, yall should understand that he is grinding over the summer. He is watching videos on all the concepts of multivariable calculus, linear algebra, and differential equations. Secondly, he is going over basic proof concepts to get a feel for the class. So he is not going into the class blind lol.

10:46 his voice is so calming.

Math is a language that some of us aren't taught correctly.

Seifert-Van Kampert Theorem; Additional 5:00 Shown in an isomorphic (the part of the whole process of movement like a map) sense, though way clearer if simulated like a video/homotopy that's shown here. Isomorphic visualization: (you can draw it on paper to help visualize) [ Level 1: Imagine a point in a line Extend it until it reaches the goal Level 2: Now divide that line into 2 Extend those lines Level 3: Create 2 other points in those lines Imagine those points as A and B Duplicate Line A Draw the line from A to B (assuming its a perfect drag) And then multiple of those somewhere that can be any line (Also this man got this theory right) ] The algebraic expressions may seem like extremely hard unless you understand the language, you're all good. Overall, basic maths with funny languages, "we're still lacking tbh"

Gohar you've transformed my high school experience, keep up the grind 🔥🔥🔥🔥🔥🔥🔥🔥

All of Gohar’s videos are bangers

Gohar is such a great listener, pls consider making a video about something related, it'll wait help alot

Really enjoying this type of content…Keep it up!

Gohar thank you so much for your content. You have been absolutely lifesaving this year. I look forward to starting high school next year with a prepared study schedule.

Love the hard work this guys dose and he helps get better at studying thanks Gohar❤

Hoping to take this course in September, this has made me feel like maybe it’s possible? Might eat my words though. Thanks for the great video!

Thanks a lot for your study tips in all your videos ❤❤