“Here is this homework assignment it should take you about 60 hours. I need it by tomorrow”
@brolyisop9165
2 жыл бұрын
LOL
@ko-Daegu
2 жыл бұрын
It’s 4 years in 2 semesters It’s called Honors Abstract Algebra and Honors Real and Complex Analysis Not easy not compulsory
@darkrules1
2 жыл бұрын
Bad enough 18 yr olds already need 30 year's of work experience for a job and now we need to do 60 hrs of homework in 1 day jeez...
@JamieBex
2 жыл бұрын
The children: time to invent time travel
@Capygod1788
2 жыл бұрын
They need some Harry Potter witch craft machine
@kubush
2 жыл бұрын
A 50% dropout rate just goes to show how poorly the class is taught.
@danielpritchard510
2 жыл бұрын
Yes ty beat me to it having a high failure rate isn't something to brag about
@MasterMenahem
2 жыл бұрын
There are classes at every university made intentionally to weed people out. You want the best of the best in certain programs so having those courses are essential. 50% drop out rate is pretty normal and good often times If most people could do any class they enter, then degrees would be meaningless lmao
@danielpritchard510
2 жыл бұрын
@@MasterMenahem you don't understand for classes like those you require a test before being allowed in to make sure u have the skillet necessary to learn the info a high failure rate means the teacher is shit and the ones who passed didn't need the teacher to learn this info they could have done so with similar resources and no teacher
@cm-15
2 жыл бұрын
Or maybe the course is just hard af and too much of a responsibility🤷♂️
@danic2514
2 жыл бұрын
I was about to say then what’s even the point of having a class like that
@CH-yn5sl
9 ай бұрын
Something I’ve notice is that classes considered “hard” usually don’t tell you the background knowledge you should have before taking the class. I find this really prevalent within chemistry since nobody tells you how much a good grasp of physics concepts underly chemistry
@firesideshats
9 ай бұрын
Yeah because they want cash so there not going to say fck all man. Thats what happens when you let universities have total control with no locks on them
@domezasrekh3775
9 ай бұрын
50% that, and the other 50% they just make it needlessly difficult.
@charmagne2102
9 ай бұрын
Honestly you don't really need to be fully knowledgeable in physics to understand chemistry. HOWEVER, knowing and truly understanding basic physics concepts and being able to apply them in various means will undoubtedly make chemistry easier to learn, understand, and retain.
@indiatastic
9 ай бұрын
We had a class called QCP in high school - quantatative chemistry physics
@kaynkayn9870
9 ай бұрын
"we wont teach you these info" --> Hard
@BaconOfOblivion
9 ай бұрын
My Asian parents would deadass throw me into this class expecting high grades
@A-Stam
6 ай бұрын
Bro even the calculator couldn’t help you with that 😂
@Anathema_009
6 ай бұрын
@@A-Stambro, he IS the calculator 💀
@A-Stam
6 ай бұрын
okay then I’ll buy that calculator to do this 25hr homework due In one day 😎
@kylezdancewicz7346
5 ай бұрын
A means average B means beating C means committing a crime D means your dead F means FAILURE Edit: more accurate
@KaIIenie
5 ай бұрын
Son , are you ready to go? Say no and you'll get double belt punishment .
@usera6014
Жыл бұрын
This makes Calculus look like 1st grade math 💀💀💀💀
@rubenrodriguez7832
Жыл бұрын
This is technically calculus. But yes much harder.
@nathandiviney706
11 ай бұрын
Fr
@eboone
11 ай бұрын
@@JO-tw9bf ok? what's with the facepalm, that's what they said lmfao
@Real_DripBacon
11 ай бұрын
What's calculus
@evan5299
11 ай бұрын
@@Real_DripBacon Math that’s hard af
@ScenicFights
2 жыл бұрын
Good thing I will never have to worry about this class.
@jeffgayzose8129
2 жыл бұрын
Amen to that
@skullrazor
2 жыл бұрын
Forget class, I don't even have to worry about getting into Harvard
@endzi1248
2 жыл бұрын
@@skullrazor Forget harvard, I won't even have to worry about college
@priyankadogra2204
2 жыл бұрын
@Lucifer wtf
@sparkles9427
2 жыл бұрын
@@endzi1248 Forget college, I won’t even have to worry about school
@Angel-ip7pw
9 ай бұрын
Me who failed pre algebra: yeah i could take that class ez 😎
@kingfloppa7348
4 ай бұрын
Bros gonna fail before he even take the test paper 💀
@justsome_memeguy
Ай бұрын
bros gonna trip on the doorframe and fucking die before he starts the class 😭
@Angel-ip7pw
Ай бұрын
@@justsome_memeguy probably yeah
@danielgonzalezjimenez5677
9 ай бұрын
I wanna sit in this class for a day just to see the faces the students make
@omarfish8940
3 ай бұрын
I've looked at the homework and the curriculum for the class and honestly it's not an incredibly difficult class. It's difficult mostly because the students in the class have to completely deconstruct everything they know about mathematics which is a lot harder than straight up just learning maths. If you want to you could actually create a jerry rigged version of this class on your own lol. For the first semester of the class go through the entirety of a linear algebra and abstract algebra textbook of your choosing (for abstract algebra I've heard great things about Judson's textbook and I really like it) then for the second semester go through all of Michael Spivak's Calculus textbook and congratulations, you've completed math 55. If you want to make up a lecture for the class then look up "real analysis", there's a playlist by "brightside mathematics" who does a great job at explaining analysis. Watch videos 1-14 of that series and you'll get what's a single lecture in that class for the analysis portion of it I think
@swagsallywally
10 ай бұрын
My toxic trait is thinking I could pass this class with an A
@qzag
10 ай бұрын
that ain’t toxic that’s the deadliest substance known to man bro 💀
@jc8153
10 ай бұрын
So, you were one of the gifted kids in highschool who didn’t study and got A’s in class?
@chitinousbones9230
10 ай бұрын
@@jc8153 even that is a stretch. More like you did that at a school with AP classes only, and you’ll probably make a B in this class at best
@blgchengus
10 ай бұрын
As an Asian, this shit’s too easy 🥱
@zahash1045
10 ай бұрын
Delusions of grandeur
@GregSalazar
2 жыл бұрын
This is a whole new level of "Thanks for Learning with Us"
@tejaspadhye
2 жыл бұрын
Oh hello there
@RoachCatJr
2 жыл бұрын
idk what that even is . where is it from
@user-or5ip7cm5u
2 жыл бұрын
www.youtubeuis.com/watch?v=RCMXeapwDseY
@babylucas232
2 жыл бұрын
Let’s go Brandon
@JyotiJyoti-uj9rl
2 жыл бұрын
No what do u mean ? It’s not learning ITS MIND HURTING
@beanbean5019
10 ай бұрын
“im sorry..” “dont topologize” - Martin Gardner
@ironman-gi1gn
3 ай бұрын
IIT aspirants :- Hold my Vodka 🗿🗿
@_Insert_Username
2 ай бұрын
Math 55 is way harder bruh
@abhinavswaroop3566
2 ай бұрын
You aspirants have such high ego . Idk what for .
@Taylorc0de
Ай бұрын
Y’all will fail this class lmao
@abhinavswaroop3566
Ай бұрын
@@Taylorc0de yea they'll drop out on the first day
@sonalikshirsagar229
11 күн бұрын
I’m Indian but bro Math 55 is 100x harder
@wastedbear1891
2 жыл бұрын
“There’s a class so difficult that 50% of students drop out” Sounds like most college courses
@whyamigae9666
2 жыл бұрын
Bro yes. I’m in college doing a business course, which in my opinion is pretty easy. It’s common sense and taking notes. Three people dropped out of my class last year alone. We had a class of twelve.
@briangv
2 жыл бұрын
@@whyamigae9666 In almost every stem course 50% drop out is pretty common
@pablofarias8674
2 жыл бұрын
So a waste of your money and time?
@denbleach3712
2 жыл бұрын
@@pablofarias8674 yes.
@whyamigae9666
2 жыл бұрын
@@briangv Mines a Btec course I’m not smart enough for Stem courses
@TimeBucks
2 жыл бұрын
wonder how the teachers feel when grading them
@elonmusk42
2 жыл бұрын
@@dilkush_21 No one care
@MangalAnnika
2 жыл бұрын
@@dilkush_21 ok lol
@glowingspacecow8980
2 жыл бұрын
They probably won’t even have to grade any because nobody will finish 💀
@Zoey_Danielle
2 жыл бұрын
@@dilkush_21 i didn't read your profile but that didn't change the fact that you rickrolled me with your name bAcKw4rD$
@Cheema-zarwa48fg
2 жыл бұрын
@@dilkush_21 ok
@cold_gyoza
9 ай бұрын
I remember my ap math professor walking me through a third of a problem from this in high-school and saying this is what college was all about.
@zootoo9232
9 ай бұрын
No wonder Bill Gates droped out💀
@MoliminousTheater
2 жыл бұрын
*half the students drop out* So... like litterally every stem course lol?
@llamacannon1714
2 жыл бұрын
Yeah exactly. 45 out of the 60 in my microbiology class dropped out less than halfway through. Having a lot of biomedicine under my belt now I can safely say that any relatively hard class will have a dropout rate of atleast 50%
@dragonplayz6606
2 жыл бұрын
Finnish school system >>>, teach the students instead of dumping them with hw
@squishybol533
2 жыл бұрын
Except, these are Harvard students 😀
@lastofthebest5102
2 жыл бұрын
Doesnt seem like a very inclusive atmosphere where young adults are nurtured and taught how to think instead of memorization skills.
@emileonaicker2002
2 жыл бұрын
@@dilkush_21 I read it
@HorrorShadow666
2 жыл бұрын
This is like calculus and algebra combined with honor. I'm good at math when I use calculator if not, I'm screwed.
@_mark_3814
2 жыл бұрын
No. It has undergrad mathematics passed Calculus
@ajb4230
2 жыл бұрын
So stats squared.
@Jechew
2 жыл бұрын
It’s the problem solving and thinking routes that’s so difficult, not necessarily the calculations and arithmetic, so a calculator won’t help you.
@artisticstars1
2 жыл бұрын
It’s like saying am good at making food by ordering food from a restaurant
@fatpotato317
2 жыл бұрын
So your basically your saying you suck at math and need a device for literally everything
@qzag
2 ай бұрын
This is how high school math looks like when you’re in 2nd grade 💀
@Greal2offical
10 ай бұрын
1. To prove that the discrete metric is indeed a metric, we need to show that it satisfies the three properties: non-negativity, identity of indiscernibles, and triangle inequality. a) Non-negativity: For any points p and g in X, d(p, g) is either 0 or 1. Since distances are non-negative, this property is satisfied. b) Identity of indiscernibles: d(p, g) = 0 if and only if p = g. This property holds since the discrete metric assigns a distance of 0 only when two points are equal. c) Triangle inequality: Let p, g, and h be points in X. Since d(p, g) and d(g, h) are either 0 or 1, the triangle inequality holds. With the discrete metric, subsets of X are open if and only if they contain each of their points as isolated points. Every subset of X is open since each point in a subset is isolated. A subset of X is closed if and only if its complement is open. Since every subset is open in X, the only closed subsets of X are the empty set and X itself. Every subset of X is dense since every point in X is isolated, meaning there are no points in X that are not in any subset. 2. To prove that do is also a metric on X, we need to show that it satisfies the three properties: non-negativity, identity of indiscernibles, and triangle inequality. a) Non-negativity: For any points x and y in X, d₀(x, y) is defined as d(x, y) / (1 + d(x, y)). Since d(x, y) is non-negative, and the denominator is positive, d₀(x, y) is also non-negative. b) Identity of indiscernibles: d₀(x, y) = 0 if and only if d(x, y) = 0, which happens if and only if x = y. c) Triangle inequality: Let x, y, and z be points in X. We have: d₀(x, y) = d(x, y) / (1 + d(x, y)) d₀(x, z) = d(x, z) / (1 + d(x, z)) d₀(y, z) = d(y, z) / (1 + d(y, z)) Using the triangle inequality for d, we can show that: d(x, y) ≤ d(x, z) + d(z, y) Dividing both sides by (1 + d(x, y))(1 + d(x, z))(1 + d(z, y)), we get: d₀(x, y) ≤ d₀(x, z) + d₀(z, y) Therefore, the triangle inequality holds for d₀. A subset of X is open under the metric d if and only if it contains an open ball around each of its points. Since the metric d₀ is defined in terms of d, the same subsets that are open under d are also open under d₀. The metric spaces (X, d) and (X, d₀) may not be the same as metric spaces, but they have the same open sets. The metric space (X, d₀) is always bounded since d₀(x, y) is bounded by 1 for any x, y ∈ X, whereas (X, d) may not be bounded. 3. Let's examine the given options for defining a metric on R: i) d₂(x, y) := √(x - y): This defines the Euclidean metric on R, which satisfies all the properties of a metric. ii Just call me the thinker 😗
@xraygamer9895
5 ай бұрын
The problems are pretty much first day measure theory hw😭
@thuglife1219
2 ай бұрын
🤓
@theonlynoob2939
11 күн бұрын
Alright! I understand even less now!
@Sigma_Luffy1111
10 күн бұрын
give this man noble prize at the very least. i would believe if he said he was the winner of IMO
@jmemixx
2 жыл бұрын
This is what’s wrong with professors these days. They try to make it hard and never really focus on actually teaching you anything.
@bigchocolate1118
2 жыл бұрын
it’s literally harvard the fuck did you expect? a = 1 now find a?
@jmemixx
2 жыл бұрын
@@bigchocolate1118 no shit but when you make it to the point where you don’t teach how you got there then you ain’t teaching you just putting out the assignment. You don’t learn that way. I had professors who would just put out the work and the assignments but never really taught. Like how am I suppose to learn that and do the assignment when you didn’t teach us shit smh Had computer science classes that were at the intro level c# class and the professor would never show how he got to the end point. Like mf how did you get there? Like this is an into class and I really need to know that! Please show me got damnnn it 😂
@georgebrantley776
2 жыл бұрын
What makes you think the Math55 professor isn't teaching?
@blackrigga7401
2 жыл бұрын
@@jmemixx exactly. At that point I'll just drop out and teach myself since the people who are paid ass loads of money to sit and do jack shit and expect us to use sources to learn won't do it. Literally had professor's like that and it pissed me off to no end especially since they're stem courses.
@a7656
2 жыл бұрын
@@bigchocolate1118 That's not the point if they were actually taught to the point of understanding then it wouldn't be half dropping out. they're Harvard students, they are smart- unless half of the class didn't study at all or the least smart in Harvard then the number of dropouts shouldn't be that much unless they're not taught well. Yes, like you said they're Harvard students; do you expect them to be dumb and not study at all? Lol, you think half of the class are 'shit students'? Well, I don't think Harvard would accept that many 'shit students'?
@hunterkiller1440
2 жыл бұрын
sometimes class is hard because of awful teachers
@lemonboiii5895
2 жыл бұрын
I highly agree with you😌
@lonelypop6840
2 жыл бұрын
trueee
@dannytonnessen6896
2 жыл бұрын
Yup 👍
@SanskritiSingha
2 жыл бұрын
tru
@LushNick-lf3tg
2 жыл бұрын
Nah man you couldn't get Albert Einstein to teach me this shit
@elizabethpalafox22
10 ай бұрын
Not me being tempted to try and solve the problems knowing damn well I still count using my fingers
@axiuzz7351
9 ай бұрын
"Im sorry, dont topologise" bro decided to put a pun in an excruciating task
@Pixelcraftian
2 жыл бұрын
Imagine the final question is 1 + 2, It’d probably be something fun to lift off the stress of doing one of the hardest quizzes you’ve ever done.
@Cheems085
2 жыл бұрын
fr
@ketchuptofu
2 жыл бұрын
I would just overthink it ngl
@Tharmin.124
2 жыл бұрын
@zzTIME TRAVEL ..bruh.
@veshonfrederick
2 жыл бұрын
Nah the hw is 20 to 60 hrs with hard problems. I ain't getting to the final question.
@bromomento5913
2 жыл бұрын
That's the greatest troll ever...
@potsuaye69
10 ай бұрын
"I'm sorry" "Don't topologize" mathematicians need some humor in their work or else they're gonna go crazy
@corncobbob2326
10 ай бұрын
what ref is this
@thedesertfox6889
10 ай бұрын
@@corncobbob2326lmfao 😂
@thefrenchguard6999
9 ай бұрын
if I were a professor, I would make up absurd scenarios for math problems. Similar to stuff in "What If" by Randall Munroe.
@aidind
9 ай бұрын
LMAOO
@stablexit2850
9 ай бұрын
@@corncobbob2326Topology is one of the classes in math departments.
@drdoof03
9 ай бұрын
I put some of the equations into a math solving ai tool and even the ai couldnt solve it 💀
@cielonehellofaservicedog4648
9 ай бұрын
Because it can only really spit back information, not actually process it in a conceptualized way, yet. That would require an Ai with self learning and recognition. That is a few levels above chatGPT or whatever u are using. 😅
@evanrutledge-sz4yo
9 ай бұрын
@@cielonehellofaservicedog4648still though, the fact a Ai that has access to a lot of human knowledge, yet still can’t figure this out is funny to me at least.
@brinkipinki
9 ай бұрын
These problems really aren't that difficult. They are just university-level math. Not easy, but not impossible either. I'm not good at english math, but I think I actually solved some of these in various courses. It's just an absolutely HUGE amount of it. My homework is usually a fifth or sixth of that, which probably makes that course so difficult.
@drdoof03
9 ай бұрын
The amount of people not realizing this is a joke is insane
@nuclearwarhead9845
4 ай бұрын
@@evanrutledge-sz4yoai doesn't really have infinite knowledge lol At the moment ai is still very bad at math
@jisoorivelle3817
2 жыл бұрын
And I was literally out here struggling with grade 8 math💀
@linalovesfolklore
2 жыл бұрын
me too 🥲
@safiab.
2 жыл бұрын
yea like broo literally...
@noidontlikeu123
2 жыл бұрын
@@linalovesfolklore i love ur profile smm
@amaana6321
2 жыл бұрын
Yeh fr💀
@cmfrtmoon
2 жыл бұрын
PLEASE LMAO I HAVE MY MATH FINALS TOMMOROW LIKE IDK SHIT😭😭
@NickDiGiovanni
2 жыл бұрын
My freshman roommate took this and was one of the smartest kids in the class as a freshman. Crazy.
@NickDiGiovanni
2 жыл бұрын
All the math homework on his desk didn’t even have any numbers - it just looked like a different language.
@jle4839
2 жыл бұрын
Nickkk
@edifierspeech9274
2 жыл бұрын
you know your math class is hard when you need to learn a new language
@N3c777
2 жыл бұрын
My man. I keep forgetting how smart you are.
@rolo8291
2 жыл бұрын
Welcome Nick 😩
@wandererc
2 ай бұрын
Me when I finally solved 1+1: 🎉😊🎉🎉😊😊🎉😊🎉😊 Me when I see this question:
@TheDany0902
10 ай бұрын
As much as I liked my professor, this class was HARD. My university has three courses for Abstract Algebra, but I took AA 1 only. The class was difficult, but it's very interesting how you relearn the reasoning behind a lot of mathematical concepts. For example, one of the easiest problems I had once was to prove why any multiple of 10 is a multiple of 5 (groups and subgroups). Now the difficulty comes from how you do it. In Abstract Algebra, you can't use numbers, you use "elements" of a group with a specific operarion that represent numbers or things and still have a valid outcome when the computations are done. Another example can be the proof of even and odd numbers. This class is great, but it's difficult if the basic concepts of the course don't click for you (that was me for some time and then bum, magic). ❤
@Yourbrother05
2 жыл бұрын
Harvard: So what's 2/2 Student (Sweating): Okay so let's start by integrating.....
@NotSynu
2 жыл бұрын
Possible answer: a): X AE-Xii b): X AE-Xii c): X AE-Xii d): X AE-Xii e): X AE-Xii
@A-90istheworst
2 жыл бұрын
@@NotSynu bro I think it’s just 1? You did it have to complicate it?
@NotSynu
2 жыл бұрын
@@A-90istheworst it just a joke sheeesh
@A-90istheworst
2 жыл бұрын
@@NotSynu ok, I didn’t know sorry.
@sometingwong3506
2 жыл бұрын
@@NotSynu ou mean elon musks son?
@0-0_kyh16
2 жыл бұрын
Saw the word “math” and I’m already dropping out 😂
@clashoclan3371
Жыл бұрын
Math is atleast more bearable than fine arts, also math majors like engineering make more money.
@Starlight_is_cool
Жыл бұрын
@@clashoclan3371 because maths is more hard of course u get more money
@o_sch
Жыл бұрын
@@Starlight_is_cool math isnt more hard tho. Fine arts are. The only reason they are easy to pass is because of what also makes them hard. Like languages, they arent logical or structured at all. But that also allows you to pass things like art. Math is super easy because its 100% logical so it makes total sense. Nothing just “is” without a reason(or at least one that is a bit more advanced than your level)
@Thewritingelf
Жыл бұрын
@@o_sch Okay but consider that it maybe easy for someone like you because you need logic and structure, whereas for others, fine arts is easier because it doesn't have a definite answers for the most part.
@o_sch
Жыл бұрын
@@Thewritingelf thats probably true but objectively definite answers are the best for development and advancement of society/technology.
@user-qx9tq5vf9m
6 күн бұрын
And this is where Photomath comes in😂
@cubingman4632
2 ай бұрын
“I sentence you to a full semester in math 55”
@kafurnakis1389
2 жыл бұрын
Now this really makes me wonder. When would they use that knowledge in the real world
@rcollosi
2 жыл бұрын
It’s more to flex how smart you are than to actually use it in real life
@feintz8937
2 жыл бұрын
Right? Even im confused
@StrawbearXD
2 жыл бұрын
Ikr
@randomhardcoreplayer2096
2 жыл бұрын
Jobs?
@TheGamersDen
2 жыл бұрын
Math gets really fucking hard. If you want something relevant to you, please look at how rendering engines calculate light paths, and enjoy the math rabbit hole.
@oneguy7544
2 жыл бұрын
"Im sorry" "Don't topologize"
@ayoromanchik
2 жыл бұрын
- Martin Gardner (adapted)
@NazriB
2 жыл бұрын
Lies again? Shin Tokyo
@phantom1944
2 жыл бұрын
@@ayoromanchik (adopted)
@Aembered
2 жыл бұрын
“Be better” -Kratos
@-thanawat-8296
Жыл бұрын
lol
@karolinakrishral3742
Ай бұрын
My toxic trait telling me I could pass this class with flying colors.
@rocket_owo8341
Ай бұрын
Literal Hell, makes look all of your previous lessons in previous years like an appetizer in a meal
@75H1Nee
2 жыл бұрын
Well, this just gives me flashbacks to today and everyday for the next 2 years... cause a lil brat thought "oh, I like maths, so why don't I pick my nations hardest most intense maths program even though I hate homework"🥰
@vasconcelos7356
2 жыл бұрын
Oof
@jacobmartinez4031
2 жыл бұрын
You got targeted dude
@ringostarr5816
2 жыл бұрын
Daym so many sus pages
@beleques
2 жыл бұрын
Damn all the bots just decided to jump on this one comment, I'm sorry for you random math enthusiast
@75H1Nee
2 жыл бұрын
@@beleques 🥲
@nallyaaaaaa
2 жыл бұрын
"take a look at these questions" _laughs in potato quality_
@blzbbqheelx1163
2 жыл бұрын
i answered math olympiad questions from 4-5th grade.
@tinytreehugger1
2 жыл бұрын
@@blzbbqheelx1163 cool story bro
@emiyakiritsugu9408
2 жыл бұрын
@@blzbbqheelx1163 bro I am literally struggling with grade 10 mafs😭 any tips on how to improve?
@epicmorphism2240
2 жыл бұрын
@@emiyakiritsugu9408 he just capping. only improvement technique u need to know is practice. that‘s it
@comercioindia2977
Ай бұрын
I was a part of this class during my time at harvard and enduring the rigors of this course was a formidable endeavor.
@Liayda
9 ай бұрын
Having half your students drop sounds like something you shouldn’t be proud of as a teacher 🥶
@gregwong9205
Жыл бұрын
To everyone here who says that people drop out because of teaching - please don’t judge a book by its cover. Professor Harris has been a great teacher and mentor to me this term in math 55 - his lectures really help you gain a motivation and insight as to why the ideas he introduces are important in the field and we’ve seen some really cool fundamental results from abstract algebra from his lectures. Main reason people drop out after shopping period is simply they don’t want to spend that much time on maths in their freshman year - which of course is not a problem especially if they are doing other hard classes/ comping for clubs etc
@aliashmalmolwani7863
Жыл бұрын
Is this class really as hard as gohar is making it out to be
@gregwong-dg5jq
Жыл бұрын
In my opinion, no. I personally found 55A to be a bit strange structurally, particularly the multilinear algebra unit where the definitions start to get really dense, but by the unit on Representation Theory you really get a sense of how everything comes together and honestly it’s epic. I must say I am a firm believer that 55B (which I am in rn) is a true crowning jewel of the Harvard maths dept catalogue. We just got out of the first half which is topology and the material is really cool and unexpected: I thought I was going to hate it cus I didn’t like Euclidean geometry all that much but it’s a very different approach to the same field that I found very refreshing. Looking forward to complex analysis though which (according to prof Harris) is amazingly beautiful. As for the ‘50%’ dropout rate that is just pure cap: we actually had a net gain of one student over break, and many of those who joined us this term took physics 16 in the fall which was why they didn’t have the time to juggle that and 55A. (In fact I think the 50% dropout rate more accurately describes math 22)
@_mark_3814
11 ай бұрын
@@gregwong-dg5jq how many hours a week do you have lecture? Those topics you are naming, typically take a whole semester
@vsaurse
11 ай бұрын
Hows class going?
@gregwong-dg5jq
11 ай бұрын
We had lecture three times a week, an hour and fifteen minutes per lecture. And yes, I am aware of that - 55A covers the equivalent of 3 semester-long courses, whilst 55B covers 2 semester-long courses. As we all know though, 55 is only the beginning - a lot of courses in the catalogue for us to explore that require greater mathematical maturity and go at a faster pace.
@kaileding9250
2 жыл бұрын
honestly, most math grad can do those questions. The course is challenging because it’s an intro course that compacts ~5 course topics. However, it’s not difficult overall
@aidenkim2828
2 жыл бұрын
As an engineer (not even as a math grad), I agree 😊
@foxwoodjones9831
2 жыл бұрын
And this is why I am not and never will be a math grad. 👀
@blueyc4rter
2 жыл бұрын
Just looking at this assignment gives me PTSD... It may not be particularly difficult, but going into a maths course expecting highschool 'algebra', you will be sorely mistaken.
@keylan9191
2 жыл бұрын
Nerd
@user-fd4il6pi9i
2 жыл бұрын
@@keylan9191 mad?
@2konni
4 ай бұрын
just to clarify something. the homework is optional (most of the time), but highly suggested , and you are given around 20 hours of homework PER WEEK, not per assignment, although the time can vary by quite a bit. its still incredibly difficult however
@Football_Editor697
7 ай бұрын
It’s called math 55 since each set of homework takes 55 hours to complete!
@fakemrbeast8278
4 ай бұрын
AI has left the chat
@kylepierce7225
2 жыл бұрын
they call it math 55 because that’s the average grade for people who take the class
@javier.a.vargas
2 жыл бұрын
thats still quite high tbh, most biochem courses are like 40
@pizzabender9288
2 жыл бұрын
that would make sense tbh
@guccifer764
2 жыл бұрын
@@javier.a.vargas Well, if half the class drops it, it’s safe to assume only the higher performing students remain
@javier.a.vargas
2 жыл бұрын
@@guccifer764 indeed in my case we were 50 students and only 17 finished the course, the class average was 57 , biochemistry 2 analytical spectroscopy and gaz based ccm
@harsh.1470
11 ай бұрын
"I am sorry" .."don't topolgize' I am dying😭😭
@JoxtalZ
10 ай бұрын
Heehee
@sirpomegranate2446
9 ай бұрын
"Half the students drop out by the end of the semester" sounds like my calculus 2 class
@dennis5130
9 ай бұрын
Tbh Ive done those concepts and I passed each course that taught each topic with a really good grade but I can see how ppl might find it hard, it’s a lot, and also a lot of problems. I’ve had a similar class that the professor gave 1 assignment each week that was 15 double sided pages it was for a discrete math course it was so much work that I ended up dropping another class so I can put more time into that class
@Gabo-tf2dx
2 жыл бұрын
And here I am suffering in algebra 1
@lemonnugget293
2 жыл бұрын
Bruh me too I could never
@alsokaitlin
2 жыл бұрын
Exactly. I barely understand it
@mihirnike001
2 жыл бұрын
It’s pretty easy when you get the hang of it. What are you doingv
@randomperson2151
2 жыл бұрын
Yeah I finished two years early last year, seventh grade… it was sooo hard ;-;
@jacobthemaster66
2 жыл бұрын
@@mihirnike001 The math, poorly
@sahrabanoo9451
2 жыл бұрын
" the class is called MATH 55" *Scrolls*
@snail123O
Жыл бұрын
then how'd you comment?
@shivanshshukla5883
Жыл бұрын
@@snail123O *_Scrolls to the comment section..._*
@13MiniMidgets
9 ай бұрын
Luckily for us we only need 1 person that passed to put the answers on the internet
@echo_dtzip5113
4 ай бұрын
When you know you've gone insane when the math questions are easy to read and understand.
@temshopping
2 жыл бұрын
Elementary me: "I FOUND A LETTER IN A MATH QUESTION!" High school me: "I FOUND A NUMBER IN A MATH QUESTION!"
@runeklok
2 жыл бұрын
College: hey look, they gave me an input for omega so I can just solve this one and don't need to write the entire equation. Or ... Hey, question 4 looks like question 10, the equation should be nice and clean to work will in question 11 if they're roughly the same.
@PALTV-hn9jt
2 жыл бұрын
Those questions actually aren’t that difficult. I’m an engineer and honestly you learn the fundamental rulings it’s all good. Don’t let this intimidate you lol. You can do anything you put your mind too!
@m00nlight73
2 жыл бұрын
Go on, solve em
@LeonhardEulerShades
2 жыл бұрын
I am a graduate mathematics student and I concur. These problems aren’t bad at all. They are problems you’d do in an introductory topology course. Although, if you are not familiar with the material (like most people in this comment section), then it looks like a foreign language.
@godzillaballing5560
2 жыл бұрын
give us the answers
@galacticlaser4461
2 жыл бұрын
@@LeonhardEulerShades then solve it
@xxfisherxxdonut7858
2 жыл бұрын
Solve it
@jasonchiu272
11 күн бұрын
Chat GPT 5 in the future be like: "Look what the students need to mimic a fraction of my power"
@crumbs22
10 ай бұрын
When I was a kid I decided to major in math because geometry and computation were fun. Only thing I was good at. By the time I hit Mathematical Analysis in college (a math class where your TYPED homework answers with symbols looks like essays 🙂) it was too late to switch majors. That’s where villains are made, but I still earned my degree all the same~* if you’re a student mathematician at ANY level, keep pushing!!!!! Much like anywhere else in life, only the persistent last.
@vibestealer7585
2 жыл бұрын
And lemme guess, the final is a free for all showdown and whoever wins is declared king of math
@sunnybowos266
2 жыл бұрын
"All hail the new Math King! 👑"
@mmmeli6296
2 жыл бұрын
Wth with the bots bruh
@vibestealer7585
2 жыл бұрын
@@mmmeli6296 they vibin
@ryhnayy1364
2 жыл бұрын
bro… whos after you?
@vibestealer7585
2 жыл бұрын
Bots just love me don't they
@skyty0
2 жыл бұрын
Me: can't be that hard Guy: the class is called math- Me: damn ok he was serious 👀
“Excuse me sir, could you explain this question?” “No.”
@xboxworstgamer4
3 ай бұрын
Ngl that’s looks easy, but it’s actually f**king hard cause I don’t understand the important words of it yet🤬
@codeplaysgames7681
2 жыл бұрын
I am the type of person who will take course just to see how hard it is and since I hate dropping courses, will stick with it. And well probably fail it since I am an idiot who took it even when others warned me.
@poke6983
2 жыл бұрын
Thats what id do actually, and get flunked at the first week or month and still go on
@shubhamkatyal6391
2 жыл бұрын
😂
@etsubedenkebekele5598
2 жыл бұрын
Lol that's what I did! I even dragged my friend in to it. She quit half way, but my stubborn ass wasn't gonna give up and I luckily passed.
@yunggrouch.9659
2 жыл бұрын
Don't take school to heart take take those grades to heart this school system wants you to hate yourself the whole reason school was made is to train you to work like a slave they want you to work for other people instead of working for yourself the guy who created the school system said he wants a world of workers not thinkers they want us to physically do hard labor work for money even tho we get paid nothing school is useless unless your working towards a job that requires school then do that but if your job requires no school then you don't need school most of the things school teaches you is random bs that we will never use in the future 90% of the time like history they teach us meaning less things to just distract us the teachers even know it they just do it for money and if you wanna leave school or try to drop out you will get involved with the court and you or your parents could get jail time even tho you don't need a diploma if you know you got the mentality to do your dreams do it just don't doubt yourself
@nukethemall6689
2 жыл бұрын
@@yunggrouch.9659 i agree with u but ur grammar and wording seems like u need to go back to school again
@agent0422
10 ай бұрын
You can walk in that class, scream "Yo nerd" and everyone would turn their heads
@CloneReaper
9 ай бұрын
That would be true for the entire university of Harvard. There ain’t no way some jock or kid scrolling thro insta or tik tok getting into such a prestigious uni. At best they going community colleges lol.
@cltwheels
9 ай бұрын
@@CloneReaper we watching a yt short rn bro its worse
@troll1321
9 ай бұрын
@@CloneReaperJocks get into prestigious universities bro. This is 2023. One of the smartest kids in my graduating class was on the football team, extremely handsome, was in Honors Society and multiple clubs. Even got a scholarship offer to play university football. There was another guy on the football team who was also in advanced classes. Not all "Jocks" fail at life beyond highschool 😂😂
@nuh_uh210
7 ай бұрын
It’s Harvard, bro. Everyone’s a star athlete or student (usually both) whilst running an independent business on the side 😂
@Um_Kaye
5 ай бұрын
@@CloneReaper kid who can throw a ball very far:
@pjo-cn1wb
5 ай бұрын
My toxic trait is thinking i can ace this class while im literally failing math rn
@blue_complex
3 ай бұрын
You know it’s bad when it has more letters than numbers
@slurp_super5797
2 жыл бұрын
Teacher: The test isnt that hard. The test: Jimmy has three apples, how many atoms are there in Saturday on Wednesday weekend.
@fathermenace1856
2 жыл бұрын
💯👹kzitem.info/news/bejne/rX2w4G2npV97fm0
@Random-mm2ly
2 жыл бұрын
There are 4 apple atoms on Saturday Wednesday weekend,
@money0925
2 жыл бұрын
@@Random-mm2ly Did yo find the standard deviation of F(x) = mx+b < 7!^3? Cause if not, it might be 5.
@Random-mm2ly
2 жыл бұрын
@@money0925 uh wtf I'm still im middle school pls teach me
@Random-mm2ly
2 жыл бұрын
@@money0925 uh wtf I'm still im middle school pls teach me
@hyperbolicparaboloid154
2 жыл бұрын
Looks like we'll never figure out how many apples Johnny have in his pocket.
@MunchaBuncha
2 жыл бұрын
He has infinite amounts of apples
@toiletwater5461
2 жыл бұрын
Made it 69 likes *_NOICEE_*
@hyperbolicparaboloid154
2 жыл бұрын
I swear, these bots are getting on my nerves.
@kindatrash7344
2 жыл бұрын
Bot paradise
@fathermenace1856
2 жыл бұрын
👹💯kzitem.info/news/bejne/rX2w4G2npV97fm0
@iamthecontext
2 ай бұрын
My toxic trait is thinking I could even get into that class 💀
@Harrricane
9 ай бұрын
My ego would force me to stay in the class, whether my downfall occurs or not.
@garrettsmith6549
2 жыл бұрын
This is how I felt when my AP Calc teach in highschool handed me Spivak’s first edition of calculus. But it grew me into a wonderful student and love of it. Currently a PhD Candidate!
@thomasturner8093
2 жыл бұрын
It reminds me of the *_mold in this video_* kzitem.info/news/bejne/xICm1GStpJuZiqA&.njira
@divraj_doimari
2 жыл бұрын
@Atman Gotango ayo!? What u talking about?
@minecraftsteve6997
2 жыл бұрын
Phd candidate for what?
@thenosycat681
2 жыл бұрын
Bruh, forget the class, I felt like dropping out of consciousness after I saw that sheet.
@SpectrumSpawn
2 жыл бұрын
Better to just be homeless
@fathermenace1856
2 жыл бұрын
👹💯kzitem.info/news/bejne/rX2w4G2npV97fm0
@SenseiBready
7 ай бұрын
You know you’re dead when the homework starts with a quote
@birdiexoxo
9 ай бұрын
The majority of that time will be spent explaining why and how they got to their answer. I had an online math class where we had to explain everything to prove we knew it. A few-minute problem ended up turning into a 30-minute problem because of the explanations. It easily took hours to do the homework each week.
@pxlbits6442
2 жыл бұрын
I believe this is an Introduction to Mathematical Analysis for most undergrad courses. It's not only in Harvard that's difficult. The overall subject is very challenging because it teaches you a complete new perspective of thinking in math and logic with strict set of rules crammed into 1 semester. It's insufferable class if you're a math or physics major but the rewards are worth it.
@mujtabaalam5907
2 жыл бұрын
Harvard has a freshman analysis class which is easier than this.
@tacosamuel
2 жыл бұрын
Agreed. I took complex analysis and it was very rigorous. I'm an applied maths major btw. The difference is, I'm on quarter system 😭
@ko-Daegu
2 жыл бұрын
@@tacosamuel math55 is: Honors Abstract Algebra and Honors Real and Complex Analysis So this is 4 years math in 2 semesters
@floral_blossomyt2311
2 жыл бұрын
2 semesters are here
@red_crownn
2 жыл бұрын
Im sorry only an introduction?
@frankie-nt5ed
2 жыл бұрын
okay let’s take a moment to appreciate the fact that atleast half of the students suffer the full semester 😃
@magmafeather
2 жыл бұрын
Yay i’m the only non bot here
@ChristianSalindeho
2 жыл бұрын
@@magmafeather so am i
@Raman_Kumar_09
2 жыл бұрын
@@magmafeather i am here too lol
@fathermenace1856
2 жыл бұрын
💯👹kzitem.info/news/bejne/rX2w4G2npV97fm0
@clad3133
2 жыл бұрын
I'm literally drowning in these links
@GO-JO.rengOku
2 ай бұрын
I almost had a heart attack and i had a headache while reading the questions💀
@QuestionableLogic_
9 ай бұрын
"The class is Math-" I've heard enough, im satisfied.
@sheeb3050
2 жыл бұрын
When you finish an assignment in this class but then you realize you used a different formula than the teachers.
@-aftermath-8508
2 жыл бұрын
Your profile picture:
@crispycoochie7760
2 жыл бұрын
@@-aftermath-8508 that’s what I was gonna say 😆
@kiyomi7385
2 жыл бұрын
@@crispycoochie7760 SAME
@poke6983
2 жыл бұрын
Omfg i just did this last night it was an summative test and holy crap i used the wrong formula and half of my answer sheets are wrong
@fathermenace1856
2 жыл бұрын
👹💯kzitem.info/news/bejne/rX2w4G2npV97fm0
@T0as1ed_Rav10l1
2 жыл бұрын
I just showed this to my younger cousin(1st grade) and he said “where’s the math” lmao Edit: Thanks for 1k likes! I’ve never gotten this many :)
@insthehuffle
2 жыл бұрын
Haha lol
@insthehuffle
2 жыл бұрын
Btw nice user
@alana.g12
2 жыл бұрын
oh my gosh no joke though 😂😂 love that
@shinchanandshinchan5087
2 жыл бұрын
✨🤣🤣❤️
@gemink7939
2 жыл бұрын
it's algebra.... it's not that difficult as long as you know what the symbols and stuff mean (at least, to me it seems easy enough but the last time I touched mathematics as a subject I was 16, so... I'm lacking a fair bit of knowledge (was lost at surds and quadratics) but we use algebra day to day anyway with currency
@pledgednine6728
10 ай бұрын
I’m having a panic attack just looking at the questions
@i_likebeing_home8733
10 ай бұрын
50% dropout? Sounds like our regular rate in physics undergraduate xD
@1.4142
2 жыл бұрын
Fun fact: Simpsons executive producer Al Jean also took this class.
@Odin33356
2 жыл бұрын
Scary fact not fun
@creativeastronauts6894
2 жыл бұрын
ic... thats why simpsons had so many 'coincidental' future predictions... sus👀
@Odin33356
2 жыл бұрын
@@creativeastronauts6894 the parents watch the news and the children watch the simp sons but its all the same.
@fathermenace1856
2 жыл бұрын
👹💯kzitem.info/news/bejne/rX2w4G2npV97fm0
@captainiglo5179
2 жыл бұрын
Conan was also a writer for the simpsons and went to Harvard
@zikriafkar9523
2 жыл бұрын
" I'm sorry.." "Don't topologize" - Martin Gardner
@devontekee5917
2 жыл бұрын
"And I took that personally" - Math
@Bigmula69
2 жыл бұрын
I didn‘t get it till i saw it on the math examples lol
@polishone353
2 жыл бұрын
Topography humor I rekon
@thomasturner8093
2 жыл бұрын
It reminds me of the *_mold in this video_* kzitem.info/news/bejne/xICm1GStpJuZiqA&.rjaba
@jokelinn
10 ай бұрын
me thinking I can solve anything related to math : realizes I’m a fifth grader and this crazy equation exists
@gabrielsevilla6913
10 ай бұрын
Gotta love Math, is like mistery solving.
@emilmullerv3519
2 жыл бұрын
As a maths student, not disputing that the course is indeed difficult, but the homework you showed is not the hardest shit ever, the terminology might seem odd for most people but once you know what a metric space is, it becomes quite easy. Not trivial but only not the most I would have suffered, my guess is that this homework is at the very beginning of the course since a lot of problems are solved by directly linking the definitions of isometries and metric spaces
@vater3349
2 жыл бұрын
It does say homework assignment 1 but i agree that this isnt particularly hard
@folded_pizza
2 жыл бұрын
This
@MasTaurina
2 жыл бұрын
Exactly, is not that I am the most talented math student, I think this is an average introduction homework. Great point of view 😃
@Jonttuf17
2 жыл бұрын
I was thinking the exact same
@declanmoran
2 жыл бұрын
Its a first year maths course tho, If someone gave me that assignment on the first week I would have dropped out 🤣🤣🤣
@bravedespair
2 жыл бұрын
When you pause the video and finish the problems at the end Just to realise it’s been 7 years
@feintz8937
2 жыл бұрын
Lol
@beanswtf9166
2 жыл бұрын
what year is it ? it’s 2028 boy, you spent too long on that equation
@ArtBySoup
10 ай бұрын
This kind of looks like my upper level abstract algebra class with some real analysis thrown in there
@nadjailic3321
9 ай бұрын
In my opinion, having a class like this is ridiculous and not a flex. I’m not sure how it is in America, but I’m Australia each unit should expect about 10 hours (including contact hours) of work weekly because 4 units makes a full time study load. That unit better be worth 4 times the credit for it to be worth taking.
@joksom4752
10 ай бұрын
My program has an 80% attrition rate, and it's never about the difficulty of the work, just the amount, it's basically a 9-5 except you're using your brain, not your body and homework extends into after class, for sometimes hours. I've made it this far thankfully, and I only have a year left
@itsgonnabeanaurfromme
9 ай бұрын
Easy to have a high attrition rate when you have low standards for accepting students in the first place. Just saying.
@joksom4752
9 ай бұрын
@@itsgonnabeanaurfromme the program can only allow at most 15 kids in at a time due to how many lab benches we have per semester, even the later semesters don't have 15 available due to the cost and amount of lab equipment each bench gets, but since COVID the recruiting for the program has gone down significantly and the amount of new students aren't filling up the program anymore.
@hi5yearsago392
9 ай бұрын
With all due respect why join, I understand the importance of math and theories but it seems unnecessary. 9-5 no pay on problems that you may rarely find in the real world (you are probably in an occupation that requires this field so this might not apply) And I’m general it’s just stress inducing is there an award? Or something that is beneficial? Again this is just from my outside perspective I congratulate you for taking a class that I know for sure I will not pass
@CloneReaper
9 ай бұрын
@@hi5yearsago392well someone has to contribute to society academically by writing research papers. Not all can slave away at their jobs and only work for materialistic desires. That responsibility goes to the smart people while the lesser ones do the monotonous 9-5.
@clickpause8732
9 ай бұрын
@@CloneReaperyou had me until smart and lesser. Lotta stuff wrong with that. Firstly, academic ability is just as much a matter of interest and practice as it is your IQ, if not vastly more so. Secondly, IQ and academic excellence are not the sole metrics by which one measures success or intelligence, and believing it is shows a distinctly myopic view on your part. Thirdly, people with less natural intelligence or academic inclination are not lesser. Aside from the ethical problems with that statement, just because they lack in one area does not mean they cannot excel at many others, or that people who excel academically can achieve the same standards for fields that somebody you would consider “lesser” would. Lastly, strong empathy is positively correlated with high IQ and regular book reading, which suggests you don’t practice what you preach. Perhaps some personal study and rigour would serve you better than KZitem Shorts?
@cristiannicolas5349
2 жыл бұрын
For those wondering: When added all together, the Harry Potter books contain 1,084,170 words
@thomasturner8093
2 жыл бұрын
It reminds me of the *_mold in this video_* kzitem.info/news/bejne/xICm1GStpJuZiqA&.ufpha
@neferuaten3954
9 ай бұрын
*laughs in soviet maths curriculum*
@alexandrplashchinsky2392
10 ай бұрын
The example questions are more similar to analysis than to calculus
@Its_urgirluni
Жыл бұрын
" U try it." Oh hell nah
@ilikelefunymemes2828
2 жыл бұрын
"helf drops by the end of the semester" homie thats the average class at my uni 😂
@thomasturner8093
2 жыл бұрын
It reminds me of the *_mold in this video_* kzitem.info/news/bejne/xICm1GStpJuZiqA&.jbqxa
@bilaldemir8712
2 жыл бұрын
Difference is the people that drop out are genius
@ilikelefunymemes2828
2 жыл бұрын
@@bilaldemir8712 some smart people dropped out of college. But theres also a lot more smart ppl that finished it.
@justindems7436
9 ай бұрын
"half of my students dropped out, i m such a great teacher"
@nenenkdedehnuryuli1862
2 ай бұрын
I didn't even know where does the question start or end bro
@geeet_eth
2 жыл бұрын
This is true for literally every single stem class. Computer science especially. First data structures class is down by 50%+ every single semester
@Tururu134
2 жыл бұрын
why?
@geeet_eth
2 жыл бұрын
@@Tururu134 The class is just requires a huge time commitment. Usually intro classes are easy but moving to systems and then data structures can get complex and difficult. My professor for both those suggested we would spent 30-40 hours a week on work from that class. That's just the homework/lab/assignments. But people do struggle and need a lot more time for certain assignments. If you're coming into the class with some experience already, or knowledge of the language (usually Java) then it's maybe better. My Intro class was in python and the software systems class switched to java, so I had to learn and adapt. As for other stem classes it's the same thing, as you go to higher level classes the difficulty level goes up exponentially and lot of the students can't handle it and decide to switch majors or worse drop out
@thomasturner8093
2 жыл бұрын
It reminds me of the *_mold in this video_* kzitem.info/news/bejne/xICm1GStpJuZiqA&.iuzua
@anunknownperson4018
2 жыл бұрын
@@geeet_eth i chose CS as my major and i never had CS classes so i really dont have any idea of how its going to be but i do know some simple stuff
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