I visited the world's hardest math class

I visited Harvard University to check out Math 55, what some have called "the hardest undergraduate math course in the country."
But is it really as tough as it seems?
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A HUGE thank you to the Harvard Math Department for helping make this video possible, and to Vanshika Kalani ( / vans.films ) for filming.
ABOUT ME
My name is Gohar Khan, and I'm an MIT grad helping you succeed at school. I make videos about study strategies, college applications, and occasionally, my day-to-day life. I want to equip students with the tools, knowledge, and resources they need to realize their academic potential.
CONTACT
Feel free to reach me via Instagram DMs or by email at [e-mail]. Unfortunately, I may not get to respond to everyone, but I'll do my best!

[@joannabanti7590]

Who came here from the short😂👇👇💯

[@vffgaming491]

Literally everyone

[@jaseregalado2408]

Literally everyone

[@mustafahussein5849]

🤚😂😂😂

[@ivanristic5512]

Me

[@Frotdog]

No your braindead

[@iwetmyplants2602]

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.

[@wg4112]

yeah, every single higher level math class was much more relaxed and calmer atmosphere compared to high school math or those big lectures that have 200+ students from different degrees

[@greyklopstock7155]

​@@wg4112exactly. It's like a bunch of high level musicians, or high level athletes being in a room together. Sure, one person may be "teaching" on paper, but everyone kinda recognizes that you're all more or less on the same level or capable of being on equal footing. So eventually, you get to a level of fluency where you are essentially just shooting the shit

[@Deoxys_da2]

Working as a group? Worst nightmare for introvert But there are brilliant kids who does it alone

[@wg4112]

@@Deoxys_da2 you are not getting any succsess in these type of classes without working together in some way with these homework assignments

[@geederer]

This weird internet subculture of insecure midwits vicariously fulfilling their delusions about having mathematical talent through shadowing/idolizing/gossiping about mathematicians is perhaps the most pathetic known form of existence.

[@steelraven117]

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

[@Oirezthefirst]

I completely agree, I used to HATE math, but in high school I had a very good and fun teacher that taught me to actually enjoy math.

[@realrapidtech]

the professor in the vid looks so nice bro I wish he was my teacher

[@ShortsCreatorGuy]

So true. Honestly, the bigger problem I have faced is the TEXTBOOKS. Math textbooks are not digestible at all. Oftentimes they are written in a way where only those who already understand the content can accurately perceive what it's saying or trying to convey. Skipping steps, implicitly applying rules/theorems that a novice or beginner might not understand, using really high level jargon that isn't easy to understand, etc.

[@ragnarok4241]

Most teachers ever

[@steelraven117]

@@Oirezthefirst same

[@atomicJUMP]

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

[@cubecubes8288]

It is NOT that funny

[@Miguel_anitez]

Stop rolling little bro

[@MadChristoph]

Reminds me of the Futurama episode where Fry had a dream on a Final Exam of Ancient Egyptian Algebra

[@Miguel_anitez]

@@MadChristoph who asked?

[@MadChristoph]

@@Miguel_anitez you asked

[@haileychuukisu]

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

[@deltalima6703]

Students will need magdust to keep from dropping

[@GlitchVR]

First thing I thought the video was on about in the short 😂

[@geederer]

Probably the fake Korean knockoff though.

[@JoelStudies]

@@geederer It's not really "fake" the quality is still great, writing with it is smooth and the chalk wipes off very clean. I still recommend it over any other chalk I have used in the past!

[@Dravignor]

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

[@r22gamer54]

yeah, i heard most harvard students take it freshmen year though

[@bookenable6942]

​@r22gamer54 Nah, a fair few enroll at the beginning, but nowhere near most (ie ~40-80/2000) It wouldn't make any sense for humanities concentrations (unless really heavily into math or joint/doubling lol) to take the course, and honestly it is rather tough unless you have some previous experience with proof based math etc, which usually boils down to some math, physics, and cs students

[@ayushsambher920]

yep, the p set was talking about metric spaces I guess

[@wetrustinscience1825]

Both Representation Theory and Algebraic Topolgy are taught in year 2 or 3 for math students in Asia. They are rather the basic tools for solid college-level math

[@ayushsambher920]

@@wetrustinscience1825 hey! Representation Theory in form of Groups and Ring Theory is taught at the undergrad level Currently a final year Maths undergrad here from India! Lie Algebras and more is taught at the graduate level here

[@pekorasfuturehusband]

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 🙏🏻

[@Proxz]

Hello pekoras future husband, it boggles my mind when i see someone with a vtuber pfp and name type out even a single comprehensible sentence that isnt absolutely debaucherous. Thank you for letting me witness this rare sight

[@pekorasfuturehusband]

@@Proxz My pleasure! My apologies for the braindead individuals who tarnish the image of Vtuber fans…

[@firemonkey1015]

I’m a second year CS student too, made me love math because it’s pretty much all I do. Math is one of those subjects that epitomizes Stockholm syndrome.

[@jixs4v]

the notes for math 55a and 55b are out on the internet, you can self-study them.

[@pekorasfuturehusband]

@@jixs4v Oh really? I had no idea, thanks 🙏🏻

[@mnwtwo]

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

[@DVnc_]

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

[@SoccerKeeper]

All of Gohar’s videos are bangers

[@user-bb3ys7re5c]

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.

[@bbsara0146]

What I hate is that it took the people who invented these proofs years to make them. yet we are expected to come up with the correct proof in a 2 hour long test to like 7 questions.

[@Me-uv6kc]

inventing calculus is WAY harder than repeating it...

[@Kabcr]

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.

[@VGK702]

Very true then when you finally understand the concepts you're studying and it clicks in your mind it almost feels like your brain just leveled up. It's a very satisfying feeling

[@Mrtok522]

Really enjoying this type of content…Keep it up!

[@r22gamer54]

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.

[@goharsguide]

he's gonna crush it. 🤝

[@shakercheese5092]

Nah, he's gonna drop out.

[@ShrishGamerTV]

Bro’s a menace 😭

[@gamingbutnotreally6077]

He’s gonna drop out, he’s the initial stage of dunning Kruger rn

[@HeavyMetalShredder]

@@goharsguideimagine hacking into Mahads email and signing him up for this class without him being aware 🤣

[@ChraO_o]

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"

[@_Nibi]

k

[@GratitudeDueLife]

There may be more theories in the future once this current is explored more. I also agree(even though I’m not good at math) that we lacked at some point of the equation. Thank you for this! It really helped me understand better ^^

[@kristimotra8179]

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

[@priyanshibais1869]

Thank you so much for such an insightful video ✨✨

[@nadish25]

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

[@xyurem7461]

10:46 his voice is so calming.

[@goharsguide]

bro this video just dropped 60 seconds ago. how did you already get there

[@xyurem7461]

20x speed

[@SpaceBK-un1sn]

@@goharsguide10x speed bro

[@CLOCKROOK]

a

[@GeographyZ]

​@@goharsguide😂

[@christophvonpezold4699]

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!

[@coochiesl4yer696]

imma need u to update this comment when ur done pls

[@srallulrich]

It seems like this course is just a mix of algebra, topology, real and complex analysis using the language of categories. Some topics must be cut out to make it all fit into 2 semesters. Seems like a lot of fun for math majors

[@samrobison6421]

Seems like the lectures would be interesting but the problem sets would drive you insane

[@srallulrich]

@@samrobison6421 yes, in the video you can find that Banach contraction theorem was given as a problem in one sheet, which is kinda crazy

[@liangyuaq-qoyunlu407]

It's trivial to make a class hard. If you teach Langlands program as a first year undergrad course, it would be much harder than this

[@srallulrich]

@@liangyuaq-qoyunlu407 from what I've seen this is far from impossible to get through for motivated 1 year students.

[@Mojojo61]

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

[@stephenmorton8017]

This was fascinating. Great job, thanks.

[@SnappBacc]

Love the video and the content you got. Its so interesting to see what these people who love math so much have to share. The editing is great but I felt the excess jumpcuts were kind of messing up the flow at times

[@avalanche438]

I cant lie bro, your really helping and doing amazing keep on going!!

[@CedaFTW]

I can’t lie bro, you need help with your grammar. It’s “you’re”. Keep on going!!

[@user-fi1ci3it5s]

발음이 너무 좋으시다!! 딕션이 귓속에 똭똭 박히게.

[@Jude_C_Parnham]

best videos bro, not even Study Gpt understands it

[@NN-fw9il]

Huge respect to anyone taking this course😅. Quite intimidating tbh especially at an Undergrad level.

[@eriknovak496]

My hot take is other universities have classes like this too, they just don't market the class the same way. I think UChicago has something like this. I'm an undergraduate student at Duke and took math 403 "advanced linear algebra" my freshman year, which is abstract linear algebra, point set topology, a bit of analysis and group theory, smooth manifolds, algebraic geometry, matrix perturbation theory, convexity, and a few more things I don't remember at the moment. The class was more so a tour of grad level math through the lense of linear algebra... and I took it as a freshman. Homework took around 35 hours to do for me per set, and I stressed a lot, but I made it. It was a highly collaborative and leniently graded class as well. It was a 1 semester course. So, it seems to me maybe other top unis just don't market their classes this way, even though they do offer them.

[@TranquilSeaOfMath]

Great topic and nice editing.

[@angelajohnson4666]

Love this math video

[@Yalldone]

Gohar your amazing thnx for the amazing content

[@lazyfox3649]

There is a very similar thing in Poland called MATEX, which is an experimental math program in the XIV Staszic highschool. Freshmen of that profile are often already finalists of math olympiads

[@tmjz7327]

This is not the same at all and is much harder than matex lol I just looked

[@firemonkey1015]

@@tmjz7327For highschool I’m sure it’s hard, college is another ball park though.

[@lazyfox3649]

​@@firemonkey1015yes, that's what i meant, sorry for any misconceptions

[@lazyfox3649]

​@@tmjz7327 some matex graduates i'm sure could take math 55 though, i'm assuming you looked at the entrance exams, which are much much easier

[@tmjz7327]

@@lazyfox3649 you are right, sorry I misunderstood your original comment to mean matex is equally hard. But yes I believe strong students from this program could do math55.

[@josephcraig6519]

That looks really fun.

[@Wantaleven]

I'm new on your channel, but man i must say, your editing is nothing shortof impressive

[@bobalover3736]

This video has convinced me to try taking math 55 next year

[@itstriin]

😮😲🤯

[@Dlbt]

Do it bro

[@YK-yj6gk]

i will also try meth

[@Smittron]

Great video. Thanks. Those hieroglyphics are why I preferred applied math. 🙂

[@lanevalhalla1225]

I forced myself not towards the long form video but you are short got me the other half❤😂

[@Spacexioms]

I’m a math major. I’ve taken abstract algebra, linear algebra, and real analysis separately in a span of three semesters. I can’t imagine doing all of these in 16 weeks.

[@julianbruns7459]

8:15 my textbook at university proved something similar to problem 1, so here is a sketch of a possible solution: By definition, f is lipschitz continuous with lipschitz constant c, so it is also continuous. (Alternatively you can use epsilon-delta, just set delta=epsilon/c and continuity will follow immediately) Assume that there are distinct fixed points x,y. Then d(x,y)=d(f(x),f(y))≤cd(x,y) with c0 we can chose n such that c^n/(1-c) d(x_1,x_0)

[@julianbruns7459]

@@luis_editzx6832 thanks for notifying me. I don't use instagram so i would have probably missed this otherwise.

[@AclibButLikeTheRealOne]

nerd

[@ecaorez4881]

omegalul roflkopter bin ich gerade am experiencing been 😮

[@Um-a]

y e s

[@firemonkey1015]

Nice bro

[@jocysatu1038]

7:32 this one gave me some real goosebumps like 5 times in a row. That's how i realize how fascinatingly big of a deal math is.

[@spinyslasher6586]

I was thinking this was gonna be some otherworldy course, but then in 3:08 when the actual content was shown, it hit me. This is literally just a combination of all the courses I took in the span of 2 semesters back in 2022 as a physics undergrad.

[@ZShadower16]

This class is like a do or do not life scenario

[@byronavihai3787]

I recommend you look into the French system of the "classes préparatoires" (prep school), which condenses 4 years of undergrad math and physics into 2 years. Similarly to Math 55, all the problems we tackled were of insane difficulty, there was a strong sense of collaboration within the class, as well as competition versus other schools / classes préparatoires. These classes préparatoires prep you to apply to the "Grandes Ecoles" (the Great Schools), which are highly valued engineering schools and hard science schools (best among which the Ecole Normale Supérieure and the Ecole Polytechnique de Paris). In any case, I'm sure there's a good video or two to make about them! ;)

[@user-pf9vk8ze1i]

wow! I wonder, is there any benefit to condensing the material? do people want to start grad school sooner or something?

[@joelwillis2043]

@@user-pf9vk8ze1i French sure over produces brilliant mathematicians compared to their population size.

[@joyhappiness-um9nw]

great and informative video

[@DaxSudo]

Those are literally my favorite concepts in math bc they are so foundational to higher level maths. Its awesome.

[@DaxSudo]

These are really good explanations as someone who’s had to self learn a lot of the higher order mathematics after basic training in nuclear physics. Just bc its interesting these concepts are super cool and its exciting to see people take an interest in them.

[@phipsy6941]

As an electrical engineering student at ETH, i could never create a deep and rigorous indirect proof of a "more complex" theorem, although i find the art and abstraction, but precision of proof based mathematics truly facinating. thank god engineering math doesnt depend on proof. we shall leave that to the mathematicians.

[@BusylovingJesus]

first and I have a question, why didn't u do ur last live on Gohars lives?

[@ItzSnorez]

I love math & even decided to master it in my adult life to be fluent without needing a calculator. Particularly basic arithmetic operations; as they seemed to be the most practical to actually go through with learning for real world scenarios. For me to have knowledge stay in my head. It needs to have a relevance to my life, idk how the hell they can do these advanced mathmatics for fun.

[@justrecorded4u984]

The only major thing is changed that number of international students increased so that is why the class became smarter than in the past.

[@JayJeremiahC]

Great video to have a snowball effect with students & professors ❤

[@acropora8]

This is a very fun video, I would love to see more videos like this

[@SuperSabarinath]

I respect you for some reason

[@seujroge]

Yo Gohar, can you make us a guide on how to study better and more efficiently?

[@adityashevade7304]

its best content please make this kind of videos

[@rinnegana.k.apurpleshariga9947]

Hey gohar, I found your channel 2 years ago. I was a sophomore who had the worst study habits, now I’m a graduating student with far better grades, thank you man

[@atomicJUMP]

keep goin' man

[@NeokingTech]

I went to Harvard for undergrad and studied physics, so naturally I knew a lot of kids who took 55. I myself took the intro math class just one level below it in difficulty (Math 25). This video did a better job than I expected at depicting the nature of this class and separating fact from fiction. But some of the details could use better clarification or context. For one, Math 55 is solely for freshmen. Harvard has a large set of introductory Math courses for incoming freshmen who intend to study some STEM field and have already taken calculus in high school. At my time, I think there were around 6 such classes (19, 21, 22, 23, 25, 55). All of them more or less cover linear algebra and multivariable calculus. At the start of your freshman year, you're very much encouraged to "shop" these classes for the first few weeks to find the best fit for yourself in like an open enrollment period. Most students end up enrolling in 21, which is a very standard, non-proof based linear algebra and multivariable calculus series very similar to what you'd find at other schools (though still difficult because... well it's Harvard lol). The part Gohar gets wrong is that the mythical drop-out rate is mostly referring to the number of people who initially enroll in Math 55 first year during this open "shopping" period, then drop a level or two after a few weeks down to Math 25 or 23 once they determine they can't handle it. But of those who stay enrolled in 55a, of course they nearly all continue on to 55b. In my freshman year, I remember day 1 of 55a, there were upwards of maybe 80 people in the classroom. I went just for fun but wasn't serious about it. I think maybe around half so ~40 enrolled, and then at the end of the shopping period, ~20ish people remained in the class. They all took 55b the next semester, as far as I'm aware. Moreover, to add some detail, people who are more serious about math (math, physics, and computer science students, mainly) are encouraged to take 22 at the minimum. 25 is where things start to get *very* difficult, and the majority of Math majors at Harvard took it. Those assignments alone usually took me 20 hours. But 55 is special in that it far surpasses the material contained in the other courses; in fact, most of the students who take it probably learned linear algebra and multi on their own in high school. I appreciate Gohar's attempt to make the class seem more inviting and less exclusive, but it truly does deserve its reputation. The student interviewed in the video who had no prior competitive math experience is very rare, and he likely has other significant technical experience, probably in physics or computer science, that has given him the technical maturity to be able to tackle 55, as well as a great level of natural talent. Otherwise, there is no level of collaboration and wishful thinking that can get one through this course unless you are very very advanced and mature in math.

[@michaelbodell7740]

Yeah, this is more similar to my experience nearly 30 years ago I feel like there were about 100-120 of us in 25/55 joint at the start during shopping period and then when the courses split about 25 stayed in 55 and most of the rest were in 25. But international students and IMO competitors were common, even in 25 about half the class had been past IMO participants. I did 25 and generally the problem sets took around 10-15 hours (with encouraged collaboration!). I think the 55 problem sets took about the same time for those in that class (but were harder/more material so the 55 students would have been faster if they were doing the 25 psets). If you measure difficulty by amount of work for problem sets (not really the best measure), the hardest Harvard class at my time was the OS Programming class CS 161. Those problem sets tended to take a solid at least 40+ hours of work minimum (due every 2 weeks at that time), and some few folks were probably closer to 80 hours for the problem sets (depending on debugging and preparation).

[@user-he1qe2gx2v]

This course sounds super fun and interesting.

[@silkyuh]

ong

[@Gamerheaven123]

Nice job 🎉🎉😊❤

[@pinomarittimo7614]

If this comment gets 200 likes I will attend math 55 Thanks for the 200, at the start it was kind of a joke not now I want to reach this goal. I will upload a short every day(starting tomorrow) until I get in to Harvard and pass math 55a.

[@bowlingking300]

Everyone hype this man up

[@hugyodeepwoken]

if you are begging for likes, you are not smart enough to do math 55 🙏🙏🙏🙏🙏😭😭

[@Endorcyst]

"... until I can pass the class"

[@pinomarittimo7614]

@@hugyodeepwokenI will prove you wrong

[@ConfusedCatd]

Upload a vid

[@chillibean281]

Pretty neat.

[@kamazane3126]

w video. love your style

[@user-hl1pn1hk1v]

Do hardest english class next ik for a fact ill never find myself on this path but i like english

[@Yovbotar]

I don't even think this is Maths 💀

[@iamkj2008]

8:15 I wouldn't wish this on my worst enemy

[@theforeskinsnatcher373]

they arent too bad honestly. For olympiad winners this should be a piece of cake

[@joaletinathen2469]

Listening to this already hurts my head 😭😭😭

[@viperjay1]

Thanks for the video, but why use this? Just for the challenge? What application does it serve?

[@depthsofroblox]

interesting video

[@uta9944]

cool video.

[@George_Gallop]

Awesome video man

[@GratefulRobin]

55b actually sounds like a blast

[@TheMoped]

4:38 I’m not too familiar with topology but is there a clear distinction between torus-es and filled in torus-es (donuts)? I know toruses have 2 holes, the obvious visible one and the one inside the torus. Since donuts are filled in, is the hole on the inside just nullified?

[@quantumgaming9180]

I think the biggest distinction is that one has inside points and other doesnt

[@VJ_123]

I love this channel

[@raulcarrera3504]

Great video

[@throyest4832]

Pls make a guide on choosing a level subjects

[@kennethvalbjoern]

Talking of difficult math courses. I remember one graduate course in differential geometry and Lie groups I took at uni. The professor was a pole (in Denmark), who could hardly speak the language. He entered class and just began writing on the chalkboard without introduction. He made no references to the course book whatsoever. Nobody knew what the man was talking about at all. You had to complete assignments to pass, and they were difficult. You had to figure out yourself what part's of the book, that contained the tools needed. Most people had to team up to figure them out. I spend 2 days on a 4-page proof of a two line exercise, that I was the only one to do. It was a great course, where I did some great proofs!

[@qtshxbd9915]

I know 99% of you won’t read it, but the 1% of people who are reading this... I strongly hope your parents and you live longer than 100 years with awesome health 🙏

[@DiamondGirl-yc5ty]

❤you to❤

[@yasmeenk.a9375]

It’s amazing to have such an opportunity to learn math could a normal person have such opportunity

[@ks4willbball201]

What I would say is that Math is my favorite subject even though its hard. I love math. The things you hate you are going to love those things. I never liked math But when I got to 8th Grade- 11th grade now I love math.

[@dovydaszzz491]

Who came here from the long😂👇👇💯

[@user-hh5pg4yh8w]

I am a grade 8 student in Canada , and I will soon be transitioning to high school. I am capable of studying and focusing diligently, no matter the circumstances. However, I am unsure about the direction I should take to be accepted into Harvard's MD program. Could you please advise me on the steps I should follow? Specifically, I would like to know which clubs I should join, what courses I should focus on, and any other activities or preparations and research projects I should undertake to enhance my chances of acceptance.

[@ZShadower16]

Same too

[@reddddzzz]

@@user-hh5pg4yh8w Ur shcool is 10 mins from me Lol and i am also transitioning to high school

[@karnvirbhangu334]

The truth is harvard MD is a reach program. You can have perfect stats and everything and still there is high probability you might not get in. There is some luck involved in how well you interview and who you get interviewing you as well. All you can do it try to make your application as good as possible to get to the interviews. From there on some luck will be involved.

[@deltalima6703]

Hilarious, glad you gat a bite. 😅

[@gerdurevawiium6332]

Hey Gohar! I really enjoy watching your videos. However, I'm facing a bit of a challenge. In Iceland, the opportunities for taking AP classes and internships are limited. What advice do you have for someone in my situation who still wants to get into an Ivy League school?

[@HamagaCalapyron]

Take a look in "classes préparatoires des grandes écoles" in France or Morocco and see how is the programme

[@twistedtide]

Yeah idk, Im heading into high school next year and have already taken Algebra 2 and am hoping to take Pre-Calc as a freshman. I cant ever imagine myself being able to understand 10% of what theyre saying @8:15 lol, absolutely ridiculous

[@niciasdorcent2652]

Wait, have you taken algebra 1 in 7th grade?

[@CrazyGoose24]

@@niciasdorcent2652 yeah some schools like mine offer that for some students

[@twistedtide]

@@niciasdorcent2652 I took Algebra 1 in 7th yes, geometry summer between 7 and 8 and then algebra 2 in 8th, though i only scored a 1310 on the psat so idk if i can even say im that smart

[@sdfsfsdf641]

i did the same got a 5 on calc bc sophmore and i took linear algebra/multivariable calculus through georgia tech dual enrollment junior year and im applying for applied combinatrics and differential equations this senior year but i doubt i will ever understand any of this

[@twistedtide]

@sdfsfsdf641 Jesus a 5 on calc bc in sophomore year??? That's wild... even with everything I've done, I doubt I'll get there by my sophomore year, hopefully junior tho. Just goes to show there's always someone better than you, so never get cocky

[@antsrant]

Me: Who can handle this class? 😰

[@LilJollyJoker]

Nice Vid!

[@nexispancakes]

I didn’t know he posted regular videos

[@shauryamathbasics]

10:46 That voice tho💀

[@missbluesky2166]

😭😭

[@nathanbeer3338]

Why's it called Math 55?

[@FriktionMedia]

Because your brain will feel like it’s 55 after two semesters.

[@nathanbeer3338]

@@FriktionMedia Guess it makes sense.

[@blkpik4702]

Hey Gohar, I watch your videos, i dont comment a lot, and I made myself to study but the question is, what do I study? How do I study the exact subject? I see in shorts that they write so many pages while they study and I really want to know what they writing??? Just because I want to be THAT student.i hope you understand, And also i have trouble memorizing things please HeLp!

[@user-ou5dt9qw8p]

Can you make a video for a class 10 student to study well from the start of the academic.

[@KevinLiu-tm3rb]

Wonjae is one cutie pie

[@jyl123]

stop the cap

[@wonjaesuh5839]

AYOOO ☠️☠️

[@SuperSabarinath]

This man is crazy

[@meowrx33]

@@wonjaesuh5839 LMAO 😭 also hi wonjae this is kai frm mit :3

[@ermiasalem8521]

I'm taking it actually.

[@BIastergamer2799]

ok skittle

[@CyberDartz]

cool dude!

[@dxyA29192]

Liar, I need proof

[@abdurrazzaquehowlader]

Congrats bro.Did you attend IMO?

[@andrea-yu4fn]

​@@dxyA29192 Proof is left as an exercise for the reader.

[@MPKMonkeyStuntingonyt]

Damn I learned some of this this semester that is crazy

[@frank-lt3tp]

UBC has math 257, partial differential equations, in the undergrad engineering program, and its pretty brutal.

[@USA_622]

Bro is literally damaging his brain

[@Raven_07-official]

Bet you like 7

[@aaqibkhan9049]

Here we go again….

[@hypatia-du-bois-marie]

3:58 slice/coslice, universal property of fibered product 4:15 oh yeah then the board makes sense but not a fibered product but its dual the "pushout" 5:23 no not at all, it says \pi_0 preserves aforesaid pushouts; it's beautiful 11:34 i love its idea, but you can keep going and build IUM/HSE in Massachusetts!

[@athifaslam192]

Gohar, summer is coming in like 1 week (or atleast for me) Can you please make a video about how I can get the best for summer because no vacations. My grades are pretty low and I have a dream at MIT too like you.

[@PianoLovers2024]

Stopping children from saying first 👇

[@nightytime]

You're just as annoying

[@Optimusiscool]

#Stoplikebeggars