2:40 - Yeah bro, there is totally not enough content in math. There is only: Proofwriting Discrete mathematics Linear algebra Group theory Ring theory Complex analysis I Topology Field theory Galois theory Euclidean, projective and hyperbolic geometry Algebraic geometry I - varieties Set theory Combinatorial and analytic game theory Representation theory Number theory Module theory Differential topology Differential geometry Category theory I Elliptic curves Algebraic number theory Analytic number theory Commutative algebra Algebraic topology I - homotopy theory Algebraic geometry II - sheaves and schemes Algebraic number theory for cryptography Algebraic topology II - homology and cohomology Algebraic geometry III - coherence Lie groups Riemann surfaces Algebraic topology III - cohomology rings About a trillion different homology and cohomology theories Complex and almost-complex manifolds Modular forms Lie algebras Algebraic topology IV - homotopy type theory Topos theory Lambda calculus nonstandard algebras Algebraic topology V - spectral theory Model theory Algebraic topology VI - homotopical and homological algebra Category theory II - infinity categories Algebraic K theory Vertex operator algebras Mathematical modelling and ODEs Real analysis Dynamical systems Numerical methods Mathematical modelling for neuroscience Space-filling curves PDEs I Functional analysis C*-algebras Nonlinear dynamical systems Calculus of variations Harmonic analysis Morse theory Chaotic dynamical systems Discrete dynamical systems Dispersive PDEs nonlinear Schrodinger equations Riemannian manifolds Optimal transport Ergodic theory Elliptic PDEs Analytic geomtry differential forms Fluid mechanics Symplectic geometry Parabolic PDEs arithmetic geometry Multivariable complex analysis Brownian motion and random walks Numerical methods for time-dependent PDEs symbolic dynamics Conley index theory Tropical geometry Geometric algebra Spacetime algebra Order theory Proof theory Computability theory Complexity theory Automata Code optimization Hyperbolic PDEs Protein folding Topological data analysis Probability theory Mathematical statistics Mathematical modelling of stochastic systems Statistical data analysis Probabilistic forecasting Bayesian statistics Markov chains Measure theory biostatistics Asymptotic statistics Monte Carlo method for approximations and data sampling Databases Measure theoretic probability Stochastic processes Martingales Applied biostatistics Stochastic processes for finance Stochastic analysis Stochastic calculus Multivariate statistics Stochastic PDEs and ODEs Regression methods Statistical genetics statistical machine learning Forensic probability and statistics Causality Statistics for high-dimensional data numerical methods for statistics Removal of random noise Integration on manifolds Quantum computing Random matrix theory Mathematics for thermal engineering Mathematics for electrical engineering Ordinal analysis Nonstandard analysis Algebra for particle physics Control theory Gauge theory Topological K-theory Differential algebra Biomedical mathematics Mathematics for material science Tensor algebra and tensor analysis on manifolds Representations of quivers Hypergraphs and infinite trees Oracle programming Discrete differential geometry Motives Umbral caluclus Adelic groups Meyer-Vietoris theory Hodge theory Representation theory for simple and semisimple Lie algebras Triangulation and tesselation Transcendental number theory Algebraic groups Calabi Yau, cannonically polarized, smooth, complex, projective & toric varieties Stacks in algebraic geometry and topos theory Classification of groups Classification of manifolds Von Neumann algebras Groupoids/magmas, monoids, loops quasigroups, semigroups and other generalizations of groups Langlands program Mathematics for computer graphics
After lvl 25 ypu get to senior teritory where you prove 3 thins: 1) Everything that behaves like an apple can in fact do the basic thins that apples can (Group theory) 2) Somethings behave like an apple even though they are chairs and some things don't even though they are (Topology) 3) How the table should look like to find the apple thay you put there yourself 30' ago (Differential equations) Then you get to Master's teritory, and I can't speak for everyone but I had one in category theory and algebraic topology, which is basically as follows: "I want to know what other things that have nothing to do with the apple can be used to represent the apple and what does this tells us for the apple in comparison to a tractor". I hope I was helpful, now you know the next levels to come.
The first question of the video “What is a definition for “happy”?”. I disagree with your opinion “they are all right”. I’d argue all options are wrong, each to a greater or lesser extent. a) One can experience joy without happiness. b) Or be happy and content without being cheerful. c) As such, the definition of happy is broader than euphoria. d) And many people feel lonely after winning the lottery.
I beat the Hartshorne Algebraic Geometry Chapter 1 superboss, but the following chapters are still way too overpowered. Level 38 now and I can't remember starting university anymore it was too many theorems ago (the only unit of time which matters at this point, assignment due dates become obsolete past level 35)
I’d consider geometric algebra a logical continuation of your previous quests, although you might find it a bit tricky to avoid physics from creeping back into the gameplay
The really cool thing about Math is that after completing the main story line it turns into an interactive quest where the community can add new content to the game! Plus, there are tons of DLCs that branch of off basically every step of the game progression, in case you want to mix up the story line a bit!
Union of small changes is a big change, that's the fundamental theorem of calculus for all of ya. Derivative is a way of describing change, integral is a way of describing union, it's basically a sum of infinitesimals, when derivative is difference of two infinitely close numbers, divided by infinitesimal f(x + dx) - f(x) ÷ dx f'(x) dx = df = f(x + dx) - f(x) - that's infinitely small change for ya. Sum up full infinity of the changes like that on a segment from a to b, and you'll have f(b) - f(a) change from a to b. Union of small changes is a big change. Always remember that.
Hey, you sound like “Casually Explained” I can see you’re inspired by him by your channel’s name. Why not try to differentiate a little and experiment and see what works for you! Awesome video btw!
Is that… is that a fucking aqworlds reference in my math video? (The probabilities behind the Oracle class was a gateway drug to optimization, actuarial science, and mathematical modeling) Also don’t forget about the homebrew/mods for the game! (math research) Also I’m curious- what math specialization are you in or thinking of doing?
im surprised you're a math major discrediting higher-level mathematics like this. there's so much cool stuff in proof based math and you point to a random combinatorics theorem to show math gets less satisfying
@@pra. Not really discrediting. Currently an upcoming freshman so I’ve dealt with only a bit of proofs as I’ve grown up as an Asian doing a lot of competitive math like AIME / USAMO and stuff. I see your point where I “shame” on it, but that wasn’t really my intention.
I am pretty sure that is Number Theory and not combi. It’s an elementary theorem on quadratic reciprocity, what it’s saying is not exactly higher math like Diophantine Analysis or some shit, a dedicated high school such as myself will not fine it to hard to grasp. But again NT and combi are closely linked so I don’t know if you are wrong but I know I am right. Math is objective but Math is not constant the definitions change.
Also linguistic of anagrams :) eleven plus two = twelve plus one :) Of course this course of math will lead you straight to numerology which is forbidding subject of math.
Im at vector calculus and ODEs. Apparently there's some even more advanced stuff like something called "tensor calculus" and "PDEs". Not sure if im looking forward for that
2:40 - Yeah bro, there is totally not enough content in math. There is only:
Proofwriting
Discrete mathematics
Linear algebra
Group theory
Ring theory
Complex analysis I
Topology
Field theory
Galois theory
Euclidean, projective and hyperbolic geometry
Algebraic geometry I - varieties
Set theory
Combinatorial and analytic game theory
Representation theory
Number theory
Module theory
Differential topology
Differential geometry
Category theory I
Elliptic curves
Algebraic number theory
Analytic number theory
Commutative algebra
Algebraic topology I - homotopy theory
Algebraic geometry II - sheaves and schemes
Algebraic number theory for cryptography
Algebraic topology II - homology and cohomology
Algebraic geometry III - coherence
Lie groups
Riemann surfaces
Algebraic topology III - cohomology rings
About a trillion different homology and cohomology theories
Complex and almost-complex manifolds
Modular forms
Lie algebras
Algebraic topology IV - homotopy type theory
Topos theory
Lambda calculus
nonstandard algebras
Algebraic topology V - spectral theory
Model theory
Algebraic topology VI - homotopical and homological algebra
Category theory II - infinity categories
Algebraic K theory
Vertex operator algebras
Mathematical modelling and ODEs
Real analysis
Dynamical systems
Numerical methods
Mathematical modelling for neuroscience
Space-filling curves
PDEs I
Functional analysis
C*-algebras
Nonlinear dynamical systems
Calculus of variations
Harmonic analysis
Morse theory
Chaotic dynamical systems
Discrete dynamical systems
Dispersive PDEs
nonlinear Schrodinger equations
Riemannian manifolds
Optimal transport
Ergodic theory
Elliptic PDEs
Analytic geomtry
differential forms
Fluid mechanics
Symplectic geometry
Parabolic PDEs
arithmetic geometry
Multivariable complex analysis
Brownian motion and random walks
Numerical methods for time-dependent PDEs
symbolic dynamics
Conley index theory
Tropical geometry
Geometric algebra
Spacetime algebra
Order theory
Proof theory
Computability theory
Complexity theory
Automata
Code optimization
Hyperbolic PDEs
Protein folding
Topological data analysis
Probability theory
Mathematical statistics
Mathematical modelling of stochastic systems
Statistical data analysis
Probabilistic forecasting
Bayesian statistics
Markov chains
Measure theory
biostatistics
Asymptotic statistics
Monte Carlo method for approximations and data sampling
Databases
Measure theoretic probability
Stochastic processes
Martingales
Applied biostatistics
Stochastic processes for finance
Stochastic analysis
Stochastic calculus
Multivariate statistics
Stochastic PDEs and ODEs
Regression methods
Statistical genetics
statistical machine learning
Forensic probability and statistics
Causality
Statistics for high-dimensional data
numerical methods for statistics
Removal of random noise
Integration on manifolds
Quantum computing
Random matrix theory
Mathematics for thermal engineering
Mathematics for electrical engineering
Ordinal analysis
Nonstandard analysis
Algebra for particle physics
Control theory
Gauge theory
Topological K-theory
Differential algebra
Biomedical mathematics
Mathematics for material science
Tensor algebra and tensor analysis on manifolds
Representations of quivers
Hypergraphs and infinite trees
Oracle programming
Discrete differential geometry
Motives
Umbral caluclus
Adelic groups
Meyer-Vietoris theory
Hodge theory
Representation theory for simple and semisimple Lie algebras
Triangulation and tesselation
Transcendental number theory
Algebraic groups
Calabi Yau, cannonically polarized, smooth, complex, projective & toric varieties
Stacks in algebraic geometry and topos theory
Classification of groups
Classification of manifolds
Von Neumann algebras
Groupoids/magmas, monoids, loops quasigroups, semigroups and other generalizations of groups
Langlands program
Mathematics for computer graphics
😭
I can’t
God dammit, take my like good sir.
Which is a GIGANTIC amount of content
@@Kire137 Thanks, bro.
Struck at lvl 20 since 10 years✌🏻
Same but for 3 years
After lvl 25 ypu get to senior teritory where you prove 3 thins:
1) Everything that behaves like an apple can in fact do the basic thins that apples can (Group theory)
2) Somethings behave like an apple even though they are chairs and some things don't even though they are (Topology)
3) How the table should look like to find the apple thay you put there yourself 30' ago (Differential equations)
Then you get to Master's teritory, and I can't speak for everyone but I had one in category theory and algebraic topology, which is basically as follows: "I want to know what other things that have nothing to do with the apple can be used to represent the apple and what does this tells us for the apple in comparison to a tractor".
I hope I was helpful, now you know the next levels to come.
P.S.: if you level up enough, you can become the dev😉
Grinding for level 6π rn. Nice of you for not spoiling the rest of the game while still naming the bosses.
I somehow still am at rank 4 though, weirdly enough.
That's nice, my server has a really high ping.. So I sometimes have to use a VPN...
I’ve actually found that it’s easiest to understand/explain certain math lessons as if they were a game. Row reduction in matrices, for example.
Row redution is just like stance damage in elden ring
Thanks for this im going back to school for computer science
"Algebra" is Arabic for "Go find 'x'". Regardless, it's a multi-lingual hassle.
bro this video is fire keep it up
The first question of the video “What is a definition for “happy”?”. I disagree with your opinion “they are all right”. I’d argue all options are wrong, each to a greater or lesser extent.
a) One can experience joy without happiness.
b) Or be happy and content without being cheerful.
c) As such, the definition of happy is broader than euphoria.
d) And many people feel lonely after winning the lottery.
The definition is different though
You are confusing two different things
bro,by watching this vid,i actually cleared my confusion regarding the sequence of math
thx
Is bro a mind-reader? Got recommended the video when I was thinking of maths, and Accurately guessed that I had paused the video
Casually explained but math
i love how you made the video actually fun
I beat the Hartshorne Algebraic Geometry Chapter 1 superboss, but the following chapters are still way too overpowered. Level 38 now and I can't remember starting university anymore it was too many theorems ago (the only unit of time which matters at this point, assignment due dates become obsolete past level 35)
Algebraic geometry is dope. It's a REALLY long arc you've started, though.
This was fire ngl, we need more I say
that health and mana bar gave me massive AQW nostalgia damn.
Awesome content, mate.
You forgot to cover the lore behind the math, its like reading the wiki for the game and learning about the devs
dont underestimate just how much math there is way past linear algebra and vector calculus, it really does go on a lot
There is more? I bought myself some books in linear algebra, complex analysis, and differential equations. I am one chapter away from vector calculus.
@@redrevyol there is so much more, also complex analysis is a bit harder than thoae other 2
If I have to do another variation of parameters assignment with the Wronskian one more time I may commit war crimes
Nice vid tho! You underrated as hell!
lmao that aqworlds reference at the beginning
nice way to explain ,good luck math major....
Nice video 😅
Keep at. I'll be clicking subscribe, thank you very much
guys help im stuck at level 17, the map opened up and its way too huge for me, the enemies deal more damage.
+10 emotional damage
After you pass level 22, you take -10 on your charisma. I know from experience.
I’d consider geometric algebra a logical continuation of your previous quests, although you might find it a bit tricky to avoid physics from creeping back into the gameplay
I guess calculus really is the new game+ of math
This should totally have been submitted for #SoMEpi
Good luck on your passion journey
The really cool thing about Math is that after completing the main story line it turns into an interactive quest where the community can add new content to the game! Plus, there are tons of DLCs that branch of off basically every step of the game progression, in case you want to mix up the story line a bit!
0:18 how did you know?
Me: mom can we have easy actually?
Mom: no, we have easy actually at home
Easy actually at home:
Union of small changes is a big change, that's the fundamental theorem of calculus for all of ya. Derivative is a way of describing change, integral is a way of describing union, it's basically a sum of infinitesimals, when derivative is difference of two infinitely close numbers, divided by infinitesimal
f(x + dx) - f(x)
÷
dx
f'(x) dx = df = f(x + dx) - f(x)
- that's infinitely small change for ya. Sum up full infinity of the changes like that on a segment from a to b, and you'll have f(b) - f(a) change from a to b.
Union of small changes is a big change. Always remember that.
Hey, you sound like “Casually Explained” I can see you’re inspired by him by your channel’s name. Why not try to differentiate a little and experiment and see what works for you! Awesome video btw!
please make gamified explanation of all the concepts from level 1
I recently leveled to to lvl 15 hope it won't slow down that easily
So I practically capped out after first semester engineering? Time to self study complex analysis
No. He doesn't go into deeper mathematics than semester one. Check out my comment at the top listing math fields of study.
Do you recommend Physics or Computer Science more for studying at University?
You only have 57 subs wth??? I thought you would have like 50k+ when I was watching this tbh
Clone of a channel called "Easy, Actually". They got around 100k subs extremely quickly
AQWORDS MENTIONED
Linear algebra and multivariable was the level cap for me 😅💀
MAKE IT AN ACTUAL GAME
Is that… is that a fucking aqworlds reference in my math video? (The probabilities behind the Oracle class was a gateway drug to optimization, actuarial science, and mathematical modeling)
Also don’t forget about the homebrew/mods for the game! (math research)
Also I’m curious- what math specialization are you in or thinking of doing?
1:07 X FROM BFB!!!
I KNEW THAT SPAWNED THE OSC
It's all fun & games until you read "Gödel, Escher, Bach" by Douglas Hofstadter!
prove: apple
I'm also a dedicated player (Math major) F 🙌
im surprised you're a math major discrediting higher-level mathematics like this. there's so much cool stuff in proof based math and you point to a random combinatorics theorem to show math gets less satisfying
@@pra. Not really discrediting. Currently an upcoming freshman so I’ve dealt with only a bit of proofs as I’ve grown up as an Asian doing a lot of competitive math like AIME / USAMO and stuff. I see your point where I “shame” on it, but that wasn’t really my intention.
@@ActuallyExplaining USAMO MENTIONED olympiad video when
I am pretty sure that is Number Theory and not combi. It’s an elementary theorem on quadratic reciprocity, what it’s saying is not exactly higher math like Diophantine Analysis or some shit, a dedicated high school such as myself will not fine it to hard to grasp.
But again NT and combi are closely linked so I don’t know if you are wrong but I know I am right. Math is objective but Math is not constant the definitions change.
@@dubdq3844 I'll admit I glanced too fast to notice the legendre symbol lol
@@-sh I am gonna shit my pants and go for biology
Also linguistic of anagrams :) eleven plus two = twelve plus one :) Of course this course of math will lead you straight to numerology which is forbidding subject of math.
failed to actually explain whats the joke with apples .
this doesnt make you understand math lol this just makes you realize it exists
Final year mixed with CSC. My GP is less than π☠️
im on lvl 9
tip: don't miss on side quests cause some won't still be doable later
good vid good jokes good concept maybe push it further a bit and ye keep going dude
Im at vector calculus and ODEs. Apparently there's some even more advanced stuff like something called "tensor calculus" and "PDEs". Not sure if im looking forward for that
theres so much more
Allahumma Barik , no swearing and very precise and comprehensive.
precise and comprehensive?
"This perk is actually called algebra which is latin for good luck finding x" - gotta love that my guy 😂😂 on the floor right now.
dayumm nice video but what about discrete maths
I have a question, what are you going to do with your math major, because it sounds interesting but I have no idea what math majors do
@@senseiimmandi im mainly using it as a foundation for other things atm. planning on going into finance / quant analysis maybe
Could you make calculus beginner to advanced level tutorial video
Good video
now make one on sodium
engineering being a communism sign😭
good luck in real analysis someday :)
If how you from 2:20 till the end of the video is true, then you should switch majors
nice video
How do you enable Asian mode?
i'm 18 studying measure theory, i can't wait for functional analysis ^w^
I thought the word ''algebra'' came from the arabic word ''al-jabr'' which meant like completion/restoration
i broke 69 comments :(
You style is a complete copy of this other explainer channel.... I forgot its name. Also stick figures. Same style of talking etc.
Do you know easy actually?????
you....
Printing money from UA-cam channels is easy, actually