Dr Peyam
Dr Peyam
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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: ua-cam.com/users/drpeyam
TikTok channel: www.tiktok.com/@drpeyam
Instagram: peyamstagram
Teespring merch: teespring.com/stores/dr-peyam
Переглядів: 18 463

Відео

How is the universe expanding? (feat. ZPhysics)
Переглядів 4,3 тис.Рік тому
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: ua-cam.com/channels/3L5MO3gJTlB09wmmHGW5Qg.html YT channel: ua-cam.com/users/drpeyam TikTok channel: www.tiktok.com/@drpeyam Instagram: peya...
Essence of Analysis: Real Numbers
Переглядів 8 тис.Рік тому
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: ua-cam.com/play/PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh...
Solving the logistic equation
Переглядів 4,2 тис.Рік тому
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: ua-cam.com/users/drpeyam TikTok: www.tik...
You can do that? logarithm of a rotation
Переглядів 9 тис.Рік тому
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: ua-cam.com/users/drpeyam TikTok channel: www.tiktok.com/@drpeyam ...
a mysterious complex formula
Переглядів 6 тис.Рік тому
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
Переглядів 14 тис.Рік тому
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 🤣🤣
Переглядів 58 тис.Рік тому
This integral will have you on the floor 🤣🤣
logarithm of a matrix
Переглядів 23 тис.Рік тому
logarithm of a matrix
a geometric AM-GM derivation
Переглядів 3,3 тис.Рік тому
a geometric AM-GM derivation
Sum of arctan three ways
Переглядів 5 тис.Рік тому
Sum of arctan three ways
COOL Dirichlet Integral 😎
Переглядів 12 тис.Рік тому
COOL Dirichlet Integral 😎
incredible sin sin sum
Переглядів 8 тис.Рік тому
incredible sin sin sum
2 to a matrix
Переглядів 76 тис.Рік тому
2 to a matrix
can you solve this “impossible” trig problem?
Переглядів 9 тис.Рік тому
can you solve this “impossible” trig problem?
Quantum Integral
Переглядів 16 тис.Рік тому
Quantum Integral
Google and eigenvalues
Переглядів 57 тис.Рік тому
Google and eigenvalues
Which two implies the third?
Переглядів 4,1 тис.Рік тому
Which two implies the third?
Solving exact differential equations
Переглядів 3,4 тис.Рік тому
Solving exact differential equations
cos = 2 (in Spanish)
Переглядів 4,3 тис.Рік тому
cos = 2 (in Spanish)
Solving an ODE using separation of variables
Переглядів 3,8 тис.Рік тому
Solving an ODE using separation of variables
a quasi-Pythagorean identity
Переглядів 3 тис.Рік тому
a quasi-Pythagorean identity
Solving an ode using integrating factors
Переглядів 2,9 тис.Рік тому
Solving an ode using integrating factors
a crazy tangent no one’s even heard of
Переглядів 13 тис.Рік тому
a crazy tangent no one’s even heard of
my math YouTube advice
Переглядів 8 тис.Рік тому
my math UA-cam advice
not your AVERAGE Putnam limit (2021 Putnam A2)
Переглядів 10 тис.Рік тому
not your AVERAGE Putnam limit (2021 Putnam A2)
what is the area of this Neumann Oval ?
Переглядів 6 тис.Рік тому
what is the area of this Neumann Oval ?
Feynman Integral from Reddit
Переглядів 16 тис.2 роки тому
Feynman Integral from Reddit
number comparison: 57^8 vs 62^7
Переглядів 6 тис.2 роки тому
number comparison: 57^8 vs 62^7
How many revolutions on this Ellipse?
Переглядів 6 тис.2 роки тому
How many revolutions on this Ellipse?

КОМЕНТАРІ

  • @WogenieSenay
    @WogenieSenay 18 годин тому

    Wow interesting lecture

  • @SouravAlt
    @SouravAlt 19 годин тому

    Can't wait to be the coolest kid in the class when I teach my friends this 😎. Great Video!

    • @drpeyam
      @drpeyam 13 годин тому

      Awesome! Thank you!

  • @mohamedallouche5873
    @mohamedallouche5873 День тому

    did i just learn this in my last year of college ? OMG my method was way harderrrrrrr

  • @vectorial6467
    @vectorial6467 День тому

    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?

    • @drpeyam
      @drpeyam День тому

      I think it’s called quadratic forms!

    • @vectorial6467
      @vectorial6467 17 годин тому

      @@drpeyam ah alright ! do you have any videos regarding this topic?

  • @reeb3687
    @reeb3687 День тому

    That's so obvious but at the same time I never would have found that on my own...

  • @Shubhyduby
    @Shubhyduby 2 дні тому

    Incredible. Thank you so much for this trick!

  • @_zay__326
    @_zay__326 2 дні тому

    Please I don't understand how ln(-1) is equal to 0 ? Shouldn't it be a complex value ?!!

  • @DAMN__________
    @DAMN__________ 4 дні тому

    but what is in the first problem x is squared?

  • @sadececns00
    @sadececns00 4 дні тому

    Min tişkî fêm nekir😪

  • @roms_jr
    @roms_jr 5 днів тому

    😏

  • @unruly_ronin
    @unruly_ronin 5 днів тому

    Great video man

  • @user-yi8bz2ng6z
    @user-yi8bz2ng6z 5 днів тому

    thank you sir, keep going

  • @racheltdm8699
    @racheltdm8699 5 днів тому

    This guy's passion scares me... also gives me smiles when im struggling with calculas :D

  • @shahidaakther6591
    @shahidaakther6591 5 днів тому

    Doesn't work most of the time.

    • @drpeyam
      @drpeyam 5 днів тому

      It does though

  • @noobgang7241
    @noobgang7241 5 днів тому

    broooooooh u r the real gigachad

  • @Khadim-hk4gr
    @Khadim-hk4gr 6 днів тому

    Sir, please share your nomber to me

  • @dineshashar8255
    @dineshashar8255 6 днів тому

    Great Examples

  • @IlayShriki
    @IlayShriki 7 днів тому

    you are underated

    • @drpeyam
      @drpeyam 6 днів тому

      Thank you :3

  • @v8torque932
    @v8torque932 7 днів тому

    What?

  • @DisiCoco-nm2gw
    @DisiCoco-nm2gw 7 днів тому

    🤝🙌👍👏

  • @fadibenzaima5348
    @fadibenzaima5348 7 днів тому

    Is there any video that explains these concepts and why row reduction works geometrically ?

    • @drpeyam
      @drpeyam 6 днів тому

      You can check out the playlist!!

  • @DisiCoco-nm2gw
    @DisiCoco-nm2gw 7 днів тому

    5:00 pls link the video someone

    • @drpeyam
      @drpeyam 6 днів тому

      I think it might be in the playlist!

  • @nguyenvanphutrong8415
    @nguyenvanphutrong8415 7 днів тому

    what a wonderful video, it is very helpful for me thanks a lot

  • @bentan5718
    @bentan5718 7 днів тому

    i thought its anti derivative wuld be -1/2x * cos(x^2)

    • @drpeyam
      @drpeyam 7 днів тому

      That wouldn’t be true because of the product rule!

  • @user-wj1qb3qu1y
    @user-wj1qb3qu1y 7 днів тому

    Can we solve it without trig trick? خيلي زيابست

  • @colinjava8447
    @colinjava8447 8 днів тому

    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.

  • @name-sg8oo
    @name-sg8oo 8 днів тому

    Can you mention the book you found this trick from? Btw really amazing video!!

    • @drpeyam
      @drpeyam 8 днів тому

      Analysis by Ross

  • @sebastiangudino9377
    @sebastiangudino9377 8 днів тому

    Why isnt this taught to all students in calc I? I never knew this!

  • @DisiCoco-nm2gw
    @DisiCoco-nm2gw 9 днів тому

    Niceeeeee

  • @McMU51C
    @McMU51C 9 днів тому

    I love you sir; God bless you forever

    • @drpeyam
      @drpeyam 8 днів тому

      Thank you!!!!

  • @easymathematik
    @easymathematik 9 днів тому

    Proof accepted. :)

  • @jesuslopez8404
    @jesuslopez8404 9 днів тому

    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!

  • @realitygray8448
    @realitygray8448 9 днів тому

    Dr. Peyam, I miss you!! How are you doing? :) (If you even see this)

    • @drpeyam
      @drpeyam 9 днів тому

      I’m gooood, thank you for asking 😄😄

  • @BilalAhmed-on4kd
    @BilalAhmed-on4kd 10 днів тому

    but since we used ln here, doesn't this exclude y values that are <=0 ?

  • @adilkorkmaz4964
    @adilkorkmaz4964 10 днів тому

    THANKS,., THAT IS THE SOLUTION I WANT TO FIND...

  • @Azagnebirhanu
    @Azagnebirhanu 10 днів тому

    Thank u smart

  • @jenm1
    @jenm1 11 днів тому

    beyond fantastic

  • @FerghusCameron
    @FerghusCameron 11 днів тому

    Why is all the math I struggle with so simple when I find the teacher that can explain in my way? I will try to get up to Calculus by the end of 11th grade as i have never gotten to enter Middle school or High school due to payment issues and for my family having trouble with work thank you sir 🙏

  • @lauri268
    @lauri268 11 днів тому

    Thank you very much for this. I was struggling with a similar problem for hours. I'm still trying to grasp it so I have a question: Would I be correct if I said that the matrix can be recovered unambiguously because: - The column vectors of A corresponding the pivot columns of A' form the basis of a column space of A - Thus, the other column vectors can be written as the linear combination of the basis vectors in EXACTLY one way.

  • @enricoganassin4163
    @enricoganassin4163 11 днів тому

    Amazing

  • @raspberrywizard
    @raspberrywizard 12 днів тому

    Perfect & clear explanation (way better than my textbook/professor)! Your video was very helpful in studying for my final tomorrow. Thank you!

    • @drpeyam
      @drpeyam 12 днів тому

      Best of luck!!!

  • @eduardocortes9066
    @eduardocortes9066 12 днів тому

    I have a question. How we can indetify functoons that doesnt have a antiderivative?

  • @jeffreyanderson1249
    @jeffreyanderson1249 13 днів тому

    What about not a ball but a sphere? Is that open?

  • @b07_ashishsuradkar49
    @b07_ashishsuradkar49 13 днів тому

    Thanks sir

  • @user-tj2fj7vz1n
    @user-tj2fj7vz1n 13 днів тому

    But i use this method all the time

  • @positivenozy6065
    @positivenozy6065 13 днів тому

    0:22 doc dropped fire beat tho

  • @ThobelaGoge
    @ThobelaGoge 14 днів тому

    I finally found a video that makes it more clear....Thanks man

  • @floribus5522
    @floribus5522 14 днів тому

    Great Video as always. Isn't there a problem defining the metric on X like this, because X is not a vector space, hence not a Banach space. Or maybe I'am misunderstanding something.

  • @rolfschramek7060
    @rolfschramek7060 14 днів тому

    Great Video as always. Isn't there a problem defining the metric on X like this, because X is not a vector space, hence not a Banach space. Or maybe I'am misunderstanding something.