When any good math teacher uses that phrase "it is easy to see" prepare for hell because the real math IS in the details. Refinement. Rewriting the proofs of the studied theorems with all the details is revealing and beautiful. It shows that math is literally HARD WORK. Geniuses spends days perfecting the thoughts on their arguments. That's why they are so flexible writing proofs of premises they haven't seen before. There is a difference between doing exercises and doing MATH PROBLEMS. Training is super fundamental. Looking at books doesn't provide the magic. It happens when the practitioner holds pencil and paper in hand all the time.
My experience is that usually professors are nice when you ask them questions (it means you re following and paying attention). It happened once that a professor didn't like that I asked about clarification for a part a proof but I persisted till he stopped to answer. (he got a bit angry but still lol)
You can also get away with doing the odd no problems with worked solutions in the student solutions manual. That also will get you a good grade. But you might also have zero social life and have absolutely no free time.
my teacher does this..... every..... time.... he'll talk about it in vaguerys then to a real light example and assign homework problems that look nothing like what we have done...
“Don’t worry about this proof, you’ll cover it next semester so we’ll skip over it for now” Next semester: “you should know this proof from last semester, so we’ll skip over it”
I can feel my blood beginning to boil more with each "so it's easy to see"/"you can clearly see"/"you should check yourself". The amount of pain these few sentences have caused me over the years is unimaginable.
Not to forget Student: "I believe you made a mistake there" Teacher: "I just wanted to see if you're paying attention" Yeah when I get something wrong in my tests I just want to see if you're correcting it thoroughly too
lol :) To be fair, I haven't had a maths teacher in upper levels take marks off for an error with arithmetic. Also haven't gone without a teacher making at least one multiplication error in class per day. The numbers just don't matter as much as finding a solution. Maths people are nice people.
@@BlijVrouw Here you do get some points taken when you make a mistake because in the end the solution is wrong, but it's usually just one point and if the rest of the equation is correct that's it. That's why I just used to keep going even if I had numbers like the squareroot of 4246 times three divided by 7 and knew it was wrong :D
@@BlijVrouw yeah my upper division professors were super chill about being corrected and actually happy if people spot a mistake they make. I find it funny how it felt like my upper division math classes were easier and more lenient than my lower division classes.
prof: dy/dx is not a fraction and you shouldn't think of it as a fraction, it's just a notation prof later: just multiply both sides of the equation by dx, which leaves us with just dy..
It's the "d/dx" that is the notation and is also a "fraction" lol since you can't just split "d" from "x" and you have to multiply them to the other side together as "dx". Very much used a lot in differential equations.
Me: Hey professor, when are your office hours? Professor: Sure, absolutely! 2:13 A.M to 3:01 A.M every other Wendsday when the moon is between waning and waxing gibbon, and Mercury is in retrograde.
All my professors were just as easy to get a conference with. Nailed it. I'm only off work Tuesdays and Thursdays, no one seems to be in office then and I live in a different city then school (25min away)
"Hey didn't you promise to make tuna salad for dinner?" "It was my initial idea, but I decided to make greek giouvetsi. It was a conceptual move, not a culinary one."
with my lecturers, they flip it: lecturer: "anybody have any problems with this?" everybody: [don't want to speak up, people will think i'm dumb] me: [is okay with exactly zero of what the lecturer just said but don't want to have them just say the exact same thing all over again]
@@soupalex I know what people don't realize is that you have to have a certain level of comprehension to even be able to formulate a question to ask in the first place.
If you don't speak up then we can't elaborate, we don't have mind-reading powers. A funny joke though really happens all the time when you teach. I think the best thing to do is ask, move on, and then repeat with smaller concepts until you are moving to an unrelated concept or activity so that you can open for a forum of questions on the general topic and all the smaller concepts that may have had some time to solidify in your students' minds and allowed them to formulate good questions.
I loved Calc 3.... my professor was a useless nightmare though... Student: Professor... how do you do question 23 on the homework assignment? Nobody in the class was able to get it right... Professor: Oh...23... well that is a variation of problem 74 on page 492 Student: Yes, but what is the answer? Professor: You likely have to use the theorem in chapter 19 section 6 Student: ... we tried that but that does not work... Professor: The theorem in section 6 states: blah blah blah blah blah blah blah, does that answer your question? Student: Not really, can you go over the solution? Professor: Don't worry about it... it is beyond the scope of this class 45 minutes later... Professor: The exam will include all of the material from the last homework set... Student: except #23? Professor: Class, pay special attention to number 23, it will be on the exam and worth 25 points.
Multivariate is usually the most difficult one. The trick is in learn how to understand level curves and projections for the purpose of determining where your bounded axis variable is and then make the function simple in terms of that variable.
True story: My senior year in college I took a Physical Chemistry class which was actually taught by a physics professor. Anyway, at some point, he spent nearly an entire lecture deriving the spherical Laplacian from the Cartesian one. It was like watching Michelangelo sculpt. He made quantum mechanics so easy, and i will never forget him. Wish more profs were like him.
Man I remember my first attempt taking Discrete Math, and a lot of it really was like this video, except I was so unsure of my abilities that I actually DID nearly every question in the textbook and still failed. Just goes to show that it's all about grasping concepts in math, not memorization. Practice is great but you have to know __why__ you're doing what you're doing, and the best teachers are the ones that do that.
@@sinless I took it last year and passed by using ChatGPT as a study tool to clarify concepts. As long as you don't become too dependent on it, it works really well for the class.
@@sinless he did not. He now lives under an interstate overpass. He has no purpose in life and has realized life has no meaning. When he dies, he will be alone and nobody will miss him. Oh wait, that's me.
Prof: so this next theorem is the most important part of this entire course, make sure you really understand it. Also Prof: *erases the theorem 2 seconds after writing it down*
I have literally seen an instructor with an eraser in his left hand erasing what he'd just written with his right hand. I guess he was afraid the dry erase ink might dry. SMH.
YEAH WHAT THE FUCK IS WITH THAT!!! I play video games regularly but I don't have the dexterity and reaction time to write all those fucking notes and weird symbols down before they start moving onto the next damn thing!
when derivating on this 2d function, it does not matter at which height the resulting line is "started"... omg i think i understand the professor without studied math...
Calculus 2 was my favourite subject ! Calculating donuts 🍩 volume was amazing and the fact that I was in total understanding and in sync with the professor was so energizing for me .
Lecture Examples: 1+1=2 Homework: find the interval domain of this function without a calculator Exam: I want you to find the circumference of the sun via only using the Pythagoras theorem and use that answer divided by 22nd and 23rd digit of pi to then be used as the speed of a fighter jet traveling from Florida to Tennessee and use that total time to calculate approximately how many rounds of golf can be played in that time
4 379 000 000 m / 26 = 168 423 076,92308 m (note: this is not speed). The distance between Florida and Tennessee is 994 000 m or 16 943 971,521437 times less than the previous result. Treating the first result as m/s, the time would be 5,9018040649e−8 s. So, my final answer is 0. Now thinking about the question it is obviously 0 but of course you get no points just for the answer.
You forgot the "mandatory textbook that I wrote, 22nd edition". It's $300 and all the profit goes to me. Oh you have the 21st edition used from last year? Nope, you need to buy the 22nd edition because all the homework questions are different. Otherwise you can't do the homework and you fail. If you photocopy someone else's textbook I'll find out and you'll face academic suspension.
@Literature-Look I got around a lot of textbook expenses by doing group study homework sessions with classmates. Everyone bought one of the required textbooks for each of the five courses each semester, and then the five of us would do homework questions together. This also made it invaluable since if we got stuck on a hard question, we could immediately work through it together. We got called out for cheating numerous times, but the profs couldn't do anything about it since we all worked independently on most of the questions, and only had basically the "exact same answer" for the few hard questions that came up. This also only worked because my engineering program had a very strict course tree, we all took the same courses at the same time.
@@meliodas4560 my school’s math department actually don’t want to scam math students at all lol. The textbooks we need are always available online with free PDF download. Meanwhile all the textbooks required by economics needs to be purchased…
Maths prof "So last time we discussed how 1+1 may or may not be 2, today we're gonna proove that the standart Brownian motion is alpha-Hölder continuous for every real and positiv alpha less than 1/2." Students "?!" Prof "Don't worry, it's trivial."
"The proof is left as an exercise to the student" is one of my favorites. Also got "The Navier-Stokes equations are represented here as a matrix for your convenience" a couple semesters back.
"The problem needs 10 important steps. I shall explain 1 step to you, the rest is like the example on your book." On book: 'The 10 steps are from 10 different theorems you studied two courses ago, so it is self explanatory.'
> "I'm using abusive notation here, don't write this on the exam." > Continues to teach nothing but abusive notation the entire semester, to prepare us for the exam
And half the time they'll be like: "Ah, geez, I've got an important appointment today, I'm sorry (not!!!). But you can see me when Saturn and Neptune align and the spirit of the holy Mary is visible on top of Mount Rushmore."
@@abababa3542 Yep. "Once you do about a 1000 of these, you'll start to get them correct 4/5 of the time." He pauses. "I've done at least 10,000 of these." Poor guy.
The prof. who says practice is the key, then evaluates their students with only one midterm exam, and a final exam that are worth 50 points each. And of course he gets to be called as a professor.
In Linear Algebra: And we all remember this principle (that you haven't used since) from Calc 1, right? *furiously looks for notes taken by your little-lost-freshman self... in a bookbag... in a closet... in a trashcan.... at your moms house.
I remember some physics book that constantly used the word "obviously" in all its explanations - I swear I saw that word AT LEAST 10 times in one single course. I felt insulted by that, because I felt as if the book was assuming that absolutely everything was crystal clear right away, which of course it isn't.
@@ArchietDev It is quite time-consuming to prepare the full proofs and the lecture in general. Even when you master the ideas, making all the steps in a straightforward manner needs time and some memorization before the class. Writing the proof in the class with the student will take a lot of time and may cause confusion to a lot of students, the program of the semester is long and doesn't allow such a thing. So as teaching is not highly motivated in university by the system altogether in contrast to research, it leads eventually to this lazy attitude.
@@TheMathSorcerer Greece. You do get free university after some challenging exams but it's pretty bad. You go to 200-people lectures, sometimes sitting on the stairs, most of the teachers won't even give you homework and after all that you go to the finals. It's a pretty strong degree but you end up wasting +2 years on average just because you need to learn stuff on your own and answer your own questions.
"The proof is trivial and left as an exercise to the student (see problem 42)." you cannot fathom just how much i hate when a text book says that. i'm supposed to be learning and you leave out the crucial proof to show me how to get from A to B. good to see this scourge isn't just in physics courses.
I have a calculus book that does that. It’s not too bad though because usually it’s in an “if and only if proof” where they prove one direction and leave you to prove the other direction
I mean, I only taught myself two calc textbooks, but in my limited experience, the proofs they don't bother to show you are really hard to wrap your head around, and wind up distracting me from whatever I was actually trying to learn. If just stating proofs was a good way to learn things, we would all just link each other to math papers to casually sift through and acquire all human knowledge...
Numberphile is really the antidote to this style of math class that we all have been subjected to where half of it was finding values without discussion the concepts themselves and why they are awesome. Math classes should be a story we can play with. great job reminding me of school lol.
3:16 Thank goodness he clarified that we would be doing mathematics. I had previously believed that anything beyond calculus 6 you leave math and enter analytic philosophy.
Lol it’s so funny because it’s relatable. I liked how you portrayed the unrealistic expectations of professors even if it was a bit exaggerated. The quad integral joke also made my inner nerd laugh.
I will forever be grateful for the kind and gracious soul my calculus II professor has, she goes pretty fast but she would go over everything concept again if you were to ask and also integrated a revision of previous classes concepts so we're all on the same page; bless that woman :)
This not about math specifically, but I love how in my Chemistry class the professor teaches concepts and then proceeds to make an exam/homework about math problems he didn’t teach us at all expecting us to magically solve them.
"Go over all of the homework. Do every single problem." This is actually good advice. It should be much faster for you to redo the assignments the second time around.
The bit at 3:27 about the square root is incredibly well done and relatable🤣🤣. "It's a conceptual move...not an algebraic one" - I can picture my undergrad Analysis professor saying and doing something like this and the portion with the inequality haha half of the time he ran through proofs we just went with it and then the converse was left to us as an exercise since it was "free lunch". Really enjoyed this video - great job 👍
Calc 3 tricked me this semester . The beginning portion was so easy and then al of a sudden the material had us wanting to have integration by parts in our heads as if it were second nature lmao . Fun class though
this is very true. About six months ago while i was nearly done with high school calculus I saw this video and didn't understand most of the math in it. Now as a first year engineering student, I laughed even harder cuz my teacher has so many of these same quirks whilst teaching these exact topics
This reminded me of the first year of maths on my computer science degree in 1988 - it brought back all the horrified anxiety I felt at the time - thanks 🤣
1:05: I can suggest a real world significance of the quadruple integral. Thermal energy. Given a region of space containing a material with a known temperature distribution that is not uniform. It also has a specific heat capacity that significantly varies with temperature. Integrating across this region of space, and from a reference temperature to the temperature at each point within the body, will tell you the total thermal energy of the body.
My favourite from one of my algebra professors : "Welcome to Linear Algebra 1. Here you will learn the basics about vector- and matrix calculations. You should already know from school how vectors and matrices work, so we'll skip that trivial stuff and jump right into the advanced topics."
Prof: "Anyone have questions?" Students: still frantically trying to copy everything on the board Prof: "Good, no questions? Moving on", erases the whole board
![[TH] 2024 PMGC League | Survival Stage วันที่ 1 | PUBG MOBILE Global Championship](http://i.ytimg.com/vi/FVFT-PFwU80/mqdefault.jpg)
When the prof says "it is easy to see" then he looks at his notes
Hahahahahahaha love that so funny!!!!!
When any good math teacher uses that phrase "it is easy to see" prepare for hell because the real math IS in the details. Refinement.
Rewriting the proofs of the studied theorems with all the details is revealing and beautiful. It shows that math is literally HARD WORK. Geniuses spends days perfecting the thoughts on their arguments. That's why they are so flexible writing proofs of premises they haven't seen before.
There is a difference between doing exercises and doing MATH PROBLEMS. Training is super fundamental. Looking at books doesn't provide the magic. It happens when the practitioner holds pencil and paper in hand all the time.
My calculus professor was savage
He never looked at his notes
I don't even think he had notes, but still teaches for 2h straight.
It is easy to see his notes.
cause it's actually easy to 'SEE' so that's why prof watched his notes
Bonus points for english being the lecturers second language, and the lecturer randomly making annecdotes in their first language.
Haha
This is right on the money
@@TheMathSorcerer You should attempt to formal introduce concepts for the whole class and end the lesson without time for supporting examples.
Holy shit this is so on point. The Russian professor who talks to the 3 Russian students in the class during his lecture
Question and suggestion particles just add extra clarity tbh.
Just forgot the one where, the student asks a question and the professor explains using the exact same example without really clarifying anything lol
haha sooo funnny, what a good idea, love it:)
@Mariah&WhitneyLamb lol
@@medielijah if a professor doesnt give you another explanation he either dont care or also doesnt understand it
@@medielijah ur cringe
Hahahahaha
Prof: “Don't be ashamed of asking anything”
Student ask question.
Prof: “You should know that already!”
Lol
Yes it just hurts
Again depends on the person some are just like that and also its the institutional structure which doesnt permit them time and multiple factors
"Why didn't you pay attention!?"
My experience is that usually professors are nice when you ask them questions (it means you re following and paying attention).
It happened once that a professor didn't like that I asked about clarification for a part a proof but I persisted till he stopped to answer. (he got a bit angry but still lol)
"If you really want to be prepared, just do every single problem in the book"
I've tried this, it works 🤓
haha
obviously
Thank u stephen
Lowkey it's the only stress free way to learn calc, throw yourself into it
You can also get away with doing the odd no problems with worked solutions in the student solutions manual. That also will get you a good grade. But you might also have zero social life and have absolutely no free time.
“The proof is left as an exercise for the reader” is such chaos energy
Lol
My entire Calc syllabus was filled with this wherever they could cram it in.
Most of my profs do this
my teacher does this..... every..... time.... he'll talk about it in vaguerys then to a real light example and assign homework problems that look nothing like what we have done...
@@Fleatolol exactly. Man it pisses me off 😄
Felt like a real class. Didn't pay attention.
Hahaa
😂😂😂
Haaaaaaa
Bwahahahahahaha
Hahahaha
“Don’t worry about this proof, you’ll cover it next semester so we’ll skip over it for now”
Next semester: “you should know this proof from last semester, so we’ll skip over it”
Ryan
Yes, yes, omfg, yes.
Rofl yes!!
Yeeeess this
Y do they assume
🤣🤣
It’s called recursive algorithm
This whole video is trivial
"Well, *_NOW_* I wanna hear you explain it."
-Prof in oral exam
THATS the word. I love it. its tivial do we will skip it
Holy crap, I'm from Brazil and the math teachers here say the same thing in portuguese!
Same in Germany, everything ist trivial
I'm from Quebec and I learned the world " trivial " this semester cuz of my math teacher. He averages 10 trivials per classes
I can feel my blood beginning to boil more with each "so it's easy to see"/"you can clearly see"/"you should check yourself". The amount of pain these few sentences have caused me over the years is unimaginable.
Same
I literally started to question whether I want to go to uni because of this video bringing up trauma I did not know I had
@@klb-og7cpHahah don't worry it's not that bad. If you study dilligently then you'll never have any problems in uni
Not to forget
Student: "I believe you made a mistake there"
Teacher: "I just wanted to see if you're paying attention"
Yeah when I get something wrong in my tests I just want to see if you're correcting it thoroughly too
Lol
Lol
lol :) To be fair, I haven't had a maths teacher in upper levels take marks off for an error with arithmetic. Also haven't gone without a teacher making at least one multiplication error in class per day. The numbers just don't matter as much as finding a solution. Maths people are nice people.
@@BlijVrouw Here you do get some points taken when you make a mistake because in the end the solution is wrong, but it's usually just one point and if the rest of the equation is correct that's it. That's why I just used to keep going even if I had numbers like the squareroot of 4246 times three divided by 7 and knew it was wrong :D
@@BlijVrouw yeah my upper division professors were super chill about being corrected and actually happy if people spot a mistake they make. I find it funny how it felt like my upper division math classes were easier and more lenient than my lower division classes.
prof: dy/dx is not a fraction and you shouldn't think of it as a fraction, it's just a notation
prof later: just multiply both sides of the equation by dx, which leaves us with just dy..
Hahahahahaha yeah
that's literally how you solve cauchy and I hate them for that
It's the "d/dx" that is the notation and is also a "fraction" lol since you can't just split "d" from "x" and you have to multiply them to the other side together as "dx". Very much used a lot in differential equations.
That was extremely irritating.
This comment gave me PTSD flashbacks
Me: Hey professor, when are your office hours? Professor: Sure, absolutely! 2:13 A.M to 3:01 A.M every other Wendsday when the moon is between waning and waxing gibbon, and Mercury is in retrograde.
hahahahahah
All my professors were just as easy to get a conference with. Nailed it. I'm only off work Tuesdays and Thursdays, no one seems to be in office then and I live in a different city then school (25min away)
That’s every prof tbh
You're lucky to have such an available teacher! Mine usually work only in leap years...
"Tell ya what, just shoot me an email and I'll get back to you as soon as possible aka in 3 weeks when you remind me about the email for the 9th time"
Prof Astrid: "It's a conceptual move, not an algebraic one"
Today I found out that jokes can literally make one's sides hurt
If only it were a legitimate move 😢
"Hey didn't you promise to make tuna salad for dinner?"
"It was my initial idea, but I decided to make greek giouvetsi. It was a conceptual move, not a culinary one."
“Exams are 70% final is 30% and the HW is just good to do.”
Had me rolling!
haha
Not even joking this was my calc 3 teach
This is my calc 2 teach rn
“Everyone Understand?
No one:
“Ok! Great Moving on!”
Haha
with my lecturers, they flip it:
lecturer: "anybody have any problems with this?"
everybody: [don't want to speak up, people will think i'm dumb]
me: [is okay with exactly zero of what the lecturer just said but don't want to have them just say the exact same thing all over again]
@@soupalex I know what people don't realize is that you have to have a certain level of comprehension to even be able to formulate a question to ask in the first place.
@@alisonlaett9625 yeah, having a genuine problem takes time, coz you actually have to go over that shiz in your head first
If you don't speak up then we can't elaborate, we don't have mind-reading powers. A funny joke though really happens all the time when you teach. I think the best thing to do is ask, move on, and then repeat with smaller concepts until you are moving to an unrelated concept or activity so that you can open for a forum of questions on the general topic and all the smaller concepts that may have had some time to solidify in your students' minds and allowed them to formulate good questions.
Didn't realize my calc 3 professor put his lectures on youtube.
👍
👍
👍
👍
👍
I loved Calc 3.... my professor was a useless nightmare though...
Student: Professor... how do you do question 23 on the homework assignment? Nobody in the class was able to get it right...
Professor: Oh...23... well that is a variation of problem 74 on page 492
Student: Yes, but what is the answer?
Professor: You likely have to use the theorem in chapter 19 section 6
Student: ... we tried that but that does not work...
Professor: The theorem in section 6 states: blah blah blah blah blah blah blah, does that answer your question?
Student: Not really, can you go over the solution?
Professor: Don't worry about it... it is beyond the scope of this class
45 minutes later...
Professor: The exam will include all of the material from the last homework set...
Student: except #23?
Professor: Class, pay special attention to number 23, it will be on the exam and worth 25 points.
LOL nuts!
Did you manage to solve question 23 though?
Multivariate is usually the most difficult one. The trick is in learn how to understand level curves and projections for the purpose of determining where your bounded axis variable is and then make the function simple in terms of that variable.
@@gabrielayala4900 yes, I never worked so hard for an A in my life.
@@ri-oj1ul 😂😂
True story: My senior year in college I took a Physical Chemistry class which was actually taught by a physics professor. Anyway, at some point, he spent nearly an entire lecture deriving the spherical Laplacian from the Cartesian one. It was like watching Michelangelo sculpt. He made quantum mechanics so easy, and i will never forget him. Wish more profs were like him.
Man I remember my first attempt taking Discrete Math, and a lot of it really was like this video, except I was so unsure of my abilities that I actually DID nearly every question in the textbook and still failed. Just goes to show that it's all about grasping concepts in math, not memorization. Practice is great but you have to know __why__ you're doing what you're doing, and the best teachers are the ones that do that.
Did you ever pass discrete math? I'm stressing about this class hard as a CS major
@@sinless I took it last year and passed by using ChatGPT as a study tool to clarify concepts. As long as you don't become too dependent on it, it works really well for the class.
@@sinless he did not. He now lives under an interstate overpass. He has no purpose in life and has realized life has no meaning. When he dies, he will be alone and nobody will miss him.
Oh wait, that's me.
*Comes in first day of University*
Math teacher: We are already behind by 5 chapters, we need to come in Saturday and Sunday for a full day...
Haha
no, they just skip the 5
@@19Koty96 and then put it on the final.
@@laman012 damn right
This is literally me today lmfao.
Prof: so this next theorem is the most important part of this entire course, make sure you really understand it.
Also Prof: *erases the theorem 2 seconds after writing it down*
I have literally seen an instructor with an eraser in his left hand erasing what he'd just written with his right hand. I guess he was afraid the dry erase ink might dry. SMH.
YEAH WHAT THE FUCK IS WITH THAT!!! I play video games regularly but I don't have the dexterity and reaction time to write all those fucking notes and weird symbols down before they start moving onto the next damn thing!
i hate it when they ererase !!
i was always a slow writer 😞
"It's a conceptual move, not an algebraic one" omfg lol
LOL it is:)
That had me in tears. I'm sick of the sorcery they all do in calculus, it's so messed up
Aka being lazy
@@carcasapistacho it gives me anxiety on when I should do the same
when derivating on this 2d function, it does not matter at which height the resulting line is "started"... omg i think i understand the professor without studied math...
The whole "you can figure it all out on your own time" hit harder than it should.
I had some teachers that relied H E A V I L Y on that function :D
hahahha
He really captures the feeling of a professor saying something so confidently, but you just can't wrap your head around it.
Abusive Calculus should be a class that everyone takes.
Haha yes
Multivariate can be a monster if you don't have a good foundation in analytic geometry.
@Laszlo Panaflez Did you mean “the regular multivariable calculus course that I took in college?”
Lol
Yeah it is an okay substitute for real predictive power and control.
"This is calculus 7"
"Today we'll be doing some mathematics"
hehe
What even is Calc 7? Is that like complex PDEs or something?
It doesn't exist👍
The Math Sorcerer I was about to ask if it exists.
@@brennanherring9059 It's a conceptual class, not an algebraic one.
The most annoying thing is how he holds that marker
I thought that was kinda impressive.
Thx
Lol.
what? i liked how he held his marker, esp useful as a professor who needs to write on the board while teaching
You hate things that work?
I love how you never actually do anything but talk, make mistakes and be unavailable for students 😂. Which is very accurate.
Rofl
Calculus 2 was my favourite subject ! Calculating donuts 🍩 volume was amazing and the fact that I was in total understanding and in sync with the professor was so energizing for me .
"Calculus is my favorite class this semester" Krista King
yeah but who?
Hello, how did you study calculus?
Prof: “and the bottom score was 2% and we all know who that was”
Student who scored 2%: 😎
lol
He must be absent lol
Lol
@@mohammedehtesham2661 loooooooooooll
He must be really happy because he legit doesn't give a shit lol
Lecture Examples: 1+1=2
Homework: find the interval domain of this function without a calculator
Exam: I want you to find the circumference of the sun via only using the Pythagoras theorem and use that answer divided by 22nd and 23rd digit of pi to then be used as the speed of a fighter jet traveling from Florida to Tennessee and use that total time to calculate approximately how many rounds of golf can be played in that time
Lol!!!
YES!
4 379 000 000 m / 26 = 168 423 076,92308 m (note: this is not speed). The distance between Florida and Tennessee is 994 000 m or 16 943 971,521437 times less than the previous result. Treating the first result as m/s, the time would be 5,9018040649e−8 s. So, my final answer is 0. Now thinking about the question it is obviously 0 but of course you get no points just for the answer.
who'd use a calculator for “without a calculator“ problem?
@@Henrix1998
Why would you answer a joke question seriously? Are you a tool?
You forgot the "mandatory textbook that I wrote, 22nd edition". It's $300 and all the profit goes to me. Oh you have the 21st edition used from last year? Nope, you need to buy the 22nd edition because all the homework questions are different. Otherwise you can't do the homework and you fail. If you photocopy someone else's textbook I'll find out and you'll face academic suspension.
@Literature-Look I got around a lot of textbook expenses by doing group study homework sessions with classmates. Everyone bought one of the required textbooks for each of the five courses each semester, and then the five of us would do homework questions together. This also made it invaluable since if we got stuck on a hard question, we could immediately work through it together. We got called out for cheating numerous times, but the profs couldn't do anything about it since we all worked independently on most of the questions, and only had basically the "exact same answer" for the few hard questions that came up. This also only worked because my engineering program had a very strict course tree, we all took the same courses at the same time.
@@meliodas4560 my school’s math department actually don’t want to scam math students at all lol. The textbooks we need are always available online with free PDF download. Meanwhile all the textbooks required by economics needs to be purchased…
All my math textbooks were free pdf (written by prof even), but the physics…
"And if you really want to be ready, just do every problem in the book." - Professor Dork,
died laughing
When Jeff Bezos decides he wants to be a math professor:
I just entered this video to see if I was the only one who thought that 😂
Well, the video is good.
Maths prof "So last time we discussed how 1+1 may or may not be 2, today we're gonna proove that the standart Brownian motion is alpha-Hölder continuous for every real and positiv alpha less than 1/2."
Students "?!"
Prof "Don't worry, it's trivial."
Lol
Also "Here we assume 1+1=2, erm no, I'll phrase it differently, we assume 1+1 is not 0."
@@divisix024 An actually legitimate assumption at times, though usually phrased 'We're working in a field with characteristic not equal to 2.'
"The proof is left as an exercise to the student" is one of my favorites. Also got "The Navier-Stokes equations are represented here as a matrix for your convenience" a couple semesters back.
😄
the "if you really want to be ready, do all of the problems in the textbook" really got me lmao
You immediately won me over with the comedic pause into "dork", lol. Excellent video; I had quite a few healthy chortles.
1:35 “annnd we all know who that was.” *briefly looks at camera*
Me: *sobs intensely from flashbacks*
LOL!!!!
my heartache got a heartache at this moment
1:25
"The problem needs 10 important steps. I shall explain 1 step to you, the rest is like the example on your book."
On book: 'The 10 steps are from 10 different theorems you studied two courses ago, so it is self explanatory.'
Lol!
Lmao
> "I'm using abusive notation here, don't write this on the exam."
> Continues to teach nothing but abusive notation the entire semester, to prepare us for the exam
The way he holds the marker sure is fascinating.
Yep, this guy teaches math...
I have no idea what's on the whiteboard but this is relatable. Usually, teachers and professors don't go in-depth with the material.
Prof: "I have 25+ years experience in this field of Mathematics and my research is in...."
Also Prof: *doesn't know how to teach*
😂😂😂😂
EXACTLY
SO MUCH THIS
maybe you dont know how to learn
with hard work you can do 99% of the problems in life
My office hours are between 1:15 and 1:16 every other Friday the 13th
Hahahahha
And half the time they'll be like: "Ah, geez, I've got an important appointment today, I'm sorry (not!!!). But you can see me when Saturn and Neptune align and the spirit of the holy Mary is visible on top of Mount Rushmore."
"Okay wait, how did you do that?"
"Practice."
Haha
I’ve had a teacher say this
...”I wouldn’t have expected you guys to solve this because you would only know how to do this from experience”
@@abababa3542 Yep. "Once you do about a 1000 of these, you'll start to get them correct 4/5 of the time." He pauses. "I've done at least 10,000 of these."
Poor guy.
EVERY TIME.
The prof. who says practice is the key, then evaluates their students with only one midterm exam, and a final exam that are worth 50 points each.
And of course he gets to be called as a professor.
In Linear Algebra: And we all remember this principle (that you haven't used since) from Calc 1, right?
*furiously looks for notes taken by your little-lost-freshman self... in a bookbag... in a closet... in a trashcan.... at your moms house.
"If you really want to be ready, just do every problem in the book" that hit home
I remember some physics book that constantly used the word "obviously" in all its explanations - I swear I saw that word AT LEAST 10 times in one single course. I felt insulted by that, because I felt as if the book was assuming that absolutely everything was crystal clear right away, which of course it isn't.
yeah books love to do that lol
Vectorial Calculus by Marsden-Tromba.
All freaking example exercises are simplified because the procedure "'is trivial". Dammit.
It took the brightest people that ever lived millenia to figure this out, so it should be obvious!
You probably read my physics book
This semester (the one that ended for me today, hooray) I had a professor who said, "This is not very hard." almost every...single...lecture...
"Fill in the gaps" Annoying how true that is
yeah I know!!
Is every maths teacher lazy? that they don't proceed on calculations not even a single time
@@ArchietDev It is quite time-consuming to prepare the full proofs and the lecture in general. Even when you master the ideas, making all the steps in a straightforward manner needs time and some memorization before the class. Writing the proof in the class with the student will take a lot of time and may cause confusion to a lot of students, the program of the semester is long and doesn't allow such a thing. So as teaching is not highly motivated in university by the system altogether in contrast to research, it leads eventually to this lazy attitude.
more like
exams: 59%
final: 39%
assignments: 2%*
*2 or more incomplete assignments will result in a course failure
Lol!!
Where I live it's just 100% finals :(
Lol insane
Where do you live?
@@TheMathSorcerer Greece. You do get free university after some challenging exams but it's pretty bad. You go to 200-people lectures, sometimes sitting on the stairs, most of the teachers won't even give you homework and after all that you go to the finals. It's a pretty strong degree but you end up wasting +2 years on average just because you need to learn stuff on your own and answer your own questions.
I never thought I'd miss graded homework until I took Calc 2
I just did my BC exam this morning and I wish that I'd had more incentive to do the homework as I was learning it. Probably would've done better.
That backhanded marker technique is clutch. I'll be practicing this.
haha
"The proof is trivial and left as an exercise to the student (see problem 42)."
you cannot fathom just how much i hate when a text book says that. i'm supposed to be learning and you leave out the crucial proof to show me how to get from A to B. good to see this scourge isn't just in physics courses.
Higher education is rife with such issues and then there's people wondering why students complain about our education system.
I have a calculus book that does that. It’s not too bad though because usually it’s in an “if and only if proof” where they prove one direction and leave you to prove the other direction
I mean, I only taught myself two calc textbooks, but in my limited experience, the proofs they don't bother to show you are really hard to wrap your head around, and wind up distracting me from whatever I was actually trying to learn. If just stating proofs was a good way to learn things, we would all just link each other to math papers to casually sift through and acquire all human knowledge...
good to see? what's wrong with you man, why would you be glad that *other people* also are hurt everyday by this unfortunate curse?
@@erentar2002 because it helps knowing others suffer as i had to, that i'm not alone.
Numberphile is really the antidote to this style of math class that we all have been subjected to where half of it was finding values without discussion the concepts themselves and why they are awesome. Math classes should be a story we can play with. great job reminding me of school lol.
👍
"what does that mean?"
prof: *repeats the last sentence
AAAAaaaahhhh!!!!!
Hahahaha
3:16 Thank goodness he clarified that we would be doing mathematics. I had previously believed that anything beyond calculus 6 you leave math and enter analytic philosophy.
This is gonna sound absurd but the way he explains things as a joke in this video makes sense than any math teacher who has ever taught me.
You need to collaborate with Andrew Dotson on one of these, he's the best at them.
yeah!
"The bottom score was 2% and we all know who that was."
*entire class looks at me*
😂😂
Lol it’s so funny because it’s relatable. I liked how you portrayed the unrealistic expectations of professors even if it was a bit exaggerated. The quad integral joke also made my inner nerd laugh.
As a mathematics professor myself, I really enjoyed this. Very good caricature!
This is how class felt for me
The smoothness of the doodling makes me think that he knows what he is writing
Hahahaha
I remember asking my calculus 2 Professor if we had a review for the final. She replied the entire semester has been your review.
Lol!!!!
correct way
😂😂😂😂
I mean, she's not wrong.
"If you really want to be prepared... do every single problem in the book...." 😳😳🙄🙄🤯🤯🤯
I will forever be grateful for the kind and gracious soul my calculus II professor has, she goes pretty fast but she would go over everything concept again if you were to ask and also integrated a revision of previous classes concepts so we're all on the same page; bless that woman :)
Every time there is a logic leap in a maths book:
"It's more than obvious"
And my favorite one being
"LETS NOTICE THAT..."
It’s so accurate, you’d think these are over exaggerations, but they’re not
only by the tiniest amount
The space time continuum skit had me on the floor.
❤️
My Galois theory professor be like: the homework is a moral activity, 100% is the exams.
Lol!!
This not about math specifically, but I love how in my Chemistry class the professor teaches concepts and then proceeds to make an exam/homework about math problems he didn’t teach us at all expecting us to magically solve them.
"Go over all of the homework. Do every single problem." This is actually good advice. It should be much faster for you to redo the assignments the second time around.
The bit at 3:27 about the square root is incredibly well done and relatable🤣🤣. "It's a conceptual move...not an algebraic one" - I can picture my undergrad Analysis professor saying and doing something like this and the portion with the inequality haha half of the time he ran through proofs we just went with it and then the converse was left to us as an exercise since it was "free lunch". Really enjoyed this video - great job 👍
Haha thanks man.
"it's a conceptual move, not an algebraic one"
Smooth
**integrates**
**Ends the world**
Hahaha
Hey, it's the divide-by-zero meme - OH NO -
Yes, this was the best joke
Calc 3 tricked me this semester . The beginning portion was so easy and then al of a sudden the material had us wanting to have integration by parts in our heads as if it were second nature lmao . Fun class though
"If you have any questions, I will be in my office 2 weeks from Monday"
That line killed me
The more you understand Calculus, the funnier this video become.
Hehe
this is very true. About six months ago while i was nearly done with high school calculus I saw this video and didn't understand most of the math in it. Now as a first year engineering student, I laughed even harder cuz my teacher has so many of these same quirks whilst teaching these exact topics
"If you really want to be prepared just practice every problem in the book" Actually how it is sometimes lol
yeah, the struggle is real man
Truer words have yet to be spoken. I have taken 6 math classes so far in college, so this is waaay too accurate. 😂
Hehe
This reminded me of the first year of maths on my computer science degree in 1988 - it brought back all the horrified anxiety I felt at the time - thanks 🤣
Omg when you said this is left as an exercise for the reader. So relatable. This is my new favorite channel. I was laughing the whole video
2:05 *almost writes whole word examination, leaves the dot of the i and covers it with an open parenthesis*
"in other words, the end of the world" XD
:)
Me: Can you please clarify this for me? Prof: It's in your notes.
LOL!!!!!!
Just like a real math prof., Reading the question and directly giving the answer without thinking
1:05:
I can suggest a real world significance of the quadruple integral.
Thermal energy. Given a region of space containing a material with a known temperature distribution that is not uniform. It also has a specific heat capacity that significantly varies with temperature. Integrating across this region of space, and from a reference temperature to the temperature at each point within the body, will tell you the total thermal energy of the body.
A 10% penalty for a homework worth 0% is the type of grading scheme I wish I had :(
Haha
Plot twist: the book is the art of computer programming and many of the exercises are unsolved research questions.
Perfectly encompasses my pain in math. Great video
Thanks👍
im taking a break and looking at something entertaining, but my parents don't know just by looking at my screen when they pass by
Haha
I didn't realize you knew my professor from Calc I and Number Theory.
My favourite from one of my algebra professors : "Welcome to Linear Algebra 1. Here you will learn the basics about vector- and matrix calculations. You should already know from school how vectors and matrices work, so we'll skip that trivial stuff and jump right into the advanced topics."
i learnt so much from this lesson, those quadruples integrals are just brilliant
Hehe
This was way too real. I've been out of university for 7 years and this gave me all sorts of flashbacks.
LOL
"It's a conceptional move, not an algebraic one."
Prof: "Anyone have questions?"
Students: still frantically trying to copy everything on the board
Prof: "Good, no questions? Moving on", erases the whole board
I will use this when I become a teacher: "Hello class and welcome to Calculus 7......"
lol