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Dr Peyam
United States
Registrace 10. 08. 2017
Just some fun math videos, ranging from calculus and linear algebra, to analysis and pde
a fancy integral for a fancy mathematician
Integral 1/1+cos^4+sin^4. We calculate an integral that involves trigonometry. More precisely we use tan and arctan and lots of trig substitutions. This is a must see for all the calculus students out there, enjoy!
YT channel: czcams.com/users/drpeyam
TikTok channel: www.tiktok.com/@drpeyam
Instagram: peyamstagram
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YT channel: czcams.com/users/drpeyam
TikTok channel: www.tiktok.com/@drpeyam
Instagram: peyamstagram
Teespring merch: teespring.com/stores/dr-peyam
zhlédnutí: 18 523
Video
How is the universe expanding? (feat. ZPhysics)
zhlédnutí 4,3KPřed rokem
How is the universe expanding? Zhelyo from the amazing physics channel @zhelyo_physics explains how fast the universe is expanding. Could this be why the Big Bang happened? Enjoy this cosmology and astrophysics extravaganza! ZPhysics Channel: czcams.com/channels/3L5MO3gJTlB09wmmHGW5Qg.html YT channel: czcams.com/users/drpeyam TikTok channel: www.tiktok.com/@drpeyam Instagram: peya...
Essence of Analysis: Real Numbers
zhlédnutí 8KPřed rokem
Essence of Analysis: Real Numbers. In this overview of analysis, I go through the different number systems like natural, rational, and real numbers. I explain why the real numbers are better than the rational or even the complex numbers. It's because the least upper bound property is true, which has to do with sup and max. Real number playlist: czcams.com/play/PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh...
Solving the logistic equation
zhlédnutí 4,2KPřed rokem
Solving the logistic equation. What does the fox say? Here I solve a differential equation using separation of variables and partial fractions and integrals. It models the population of bunnies but with a limited factor. It gives a surprisingly good model approximation of populations like in Belgium. Enjoy this calculus adventure Subscribe to my channel: czcams.com/users/drpeyam TikTok: www.tik...
You can do that? logarithm of a rotation
zhlédnutí 9KPřed rokem
logarithm of a rotation. We calculate ln of a rotation matrix and see a really cool result from linear algebra. We then generalize this to 3 dimensions with Lie groups and so 3 and using metrics of matrices and Rodriguez formula. This is a must see for any calculus and linear algebra student! Enjoy this math adventure YT channel: czcams.com/users/drpeyam TikTok channel: www.tiktok.com/@drpeyam ...
a mysterious complex formula
zhlédnutí 6KPřed rokem
a mysterious complex equation. Solving cos sin = i by using complex exponentials and the quadratic formula. Euler's identity and imaginary numbers will come into play here as well as the double angle formula sin(2x) = 2 sin(x) cos(x) The solutions will lie on two parallel lines which is really cool. This is a must see for any calculus and complex analysis student! Enjoy this cos(x) sin(x) = i a...
a mathematically stunning formula
zhlédnutí 14KPřed rokem
a mathematically stunning formula. I find the formula for the second derivative of the gamma function at 1 which gives you pi^2/6 plus the euler mascheroni constant squares. This gives a beautiful identity that relates two mysterious constants. The gamma function is a generalization of the factorial which is used to count permutations and combinations. This is related to nice integrals using lo...
This integral will have you on the floor 🤣🤣
zhlédnutí 58KPřed rokem
This integral will have you on the floor 🤣🤣
can you solve this “impossible” trig problem?
zhlédnutí 9KPřed rokem
can you solve this “impossible” trig problem?
Solving an ODE using separation of variables
zhlédnutí 3,8KPřed rokem
Solving an ODE using separation of variables
Solving an ode using integrating factors
zhlédnutí 2,9KPřed rokem
Solving an ode using integrating factors
not your AVERAGE Putnam limit (2021 Putnam A2)
zhlédnutí 10KPřed 2 lety
not your AVERAGE Putnam limit (2021 Putnam A2)
what is the area of this Neumann Oval ?
zhlédnutí 6KPřed 2 lety
what is the area of this Neumann Oval ?
(●’◡’●)ﾉ FBNJKVIUUVH
nice joke at the end 😂😂😂😂😂😂
6 protons 6 neutrons and six electrons
Thank you for this video, very helpful
You are welcome!
Im cooked😢
Your camera is not straight Dr
I know!
Hope everything is good with you, Dr Payam~~
Awwwww thank you for asking!! All is well, I’m teaching an online ODE class in the summer right now, it’s fun :)
May I ask Dr. Payne: I know all Taylor series are a power series, but is there a way you can help me understand why it’s true that every single power series is also a Taylor series? (Without heavy analysis as I never took an analysis course). Thanks so much! Would love to see a video on this if you would be so kind!
*Dr. Peyam.
Wtf i was just reading this chapter in linear algebra done right 😭
I don't see this as something that needs someone's name put on and a lot of fancy attention - isn't this just what we've all been doing in our head when we solve these problems anyway? It's just common sense.
You’d be surprised!
Mathematicians when it's done: the proof is trivial.
Nice way 🌵
Your enthusiasm is infectious...I just wish some of the intellect would rub off on me!
Love this, never seen this before. Thank you sir.
A good approximation using mathematical constants and a physical constant: gamma(0,577215665) < (PI/e)/2 = 0,5778636748954 gamma = (PI/e)/2 - alpha/((1+PI)*e) = 0,57721548319 alpha = Fine-structure constant = 0,0072973525643
Wow interesting lecture
Can't wait to be the coolest kid in the class when I teach my friends this 😎. Great Video!
Awesome! Thank you!
did i just learn this in my last year of college ? OMG my method was way harderrrrrrr
Dr peyan i canr find the link of methods to find the convinient change of variable via diagonalization can you give it to me please?
I think it’s called quadratic forms!
@@drpeyam ah alright ! do you have any videos regarding this topic?
That's so obvious but at the same time I never would have found that on my own...
Incredible. Thank you so much for this trick!
Please I don't understand how ln(-1) is equal to 0 ? Shouldn't it be a complex value ?!!
but what is in the first problem x is squared?
Min tişkî fêm nekir😪
😏
Great video man
thank you sir, keep going
This guy's passion scares me... also gives me smiles when im struggling with calculas :D
Doesn't work most of the time.
It does though
broooooooh u r the real gigachad
Sir, please share your nomber to me
Great Examples
you are underated
Thank you :3
What?
🤝🙌👍👏
Is there any video that explains these concepts and why row reduction works geometrically ?
You can check out the playlist!!
5:00 pls link the video someone
I think it might be in the playlist!
what a wonderful video, it is very helpful for me thanks a lot
i thought its anti derivative wuld be -1/2x * cos(x^2)
That wouldn’t be true because of the product rule!
Can we solve it without trig trick? خيلي زيابست
I remember discovering it myself when I was trying to sum reciprocals, and noticed the graph looked a lot like ln x, so I let my calculator run all night working out the difference that was about 0.577.
Can you mention the book you found this trick from? Btw really amazing video!!
Analysis by Ross
Why isnt this taught to all students in calc I? I never knew this!
Niceeeeee
I love you sir; God bless you forever
Thank you!!!!
Proof accepted. :)
Nice :-) Wondered if the log gave the infinitesimal generator of all rotations and an small experiment in Maple confirms. m is your matrix logarithm, then with(LinearAlgebra):MatrixExponential(phi*m) gives a generic rotation. For phi=1 your starting point half pi rotation (90º) is recovered and for phi=4 would be 2pi radians rotation. Satisfying!
Dr. Peyam, I miss you!! How are you doing? :) (If you even see this)
I’m gooood, thank you for asking 😄😄
but since we used ln here, doesn't this exclude y values that are <=0 ?