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Dr Peyam
United States
Приєднався 10 сер 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!
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YT channel: ua-cam.com/users/drpeyam
TikTok channel: www.tiktok.com/@drpeyam
Instagram: peyamstagram
Teespring merch: teespring.com/stores/dr-peyam
Переглядів: 18 383
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 13 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 🤣🤣
can you solve this “impossible” trig problem?
Переглядів 9 тис.Рік тому
can you solve this “impossible” trig problem?
Solving an ODE using separation of variables
Переглядів 3,8 тис.Рік тому
Solving an ODE using separation of variables
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
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 ?
How many revolutions on this Ellipse?
Переглядів 6 тис.2 роки тому
How many revolutions on this Ellipse?
you are underated
What?
🤝🙌👍👏
Is there any video that explains these concepts and why row reduction works geometrically ?
5:00 pls link the video someone
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 ?
THANKS,., THAT IS THE SOLUTION I WANT TO FIND...
Thank u smart
beyond fantastic
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 🙏
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.
Amazing
Perfect & clear explanation (way better than my textbook/professor)! Your video was very helpful in studying for my final tomorrow. Thank you!
Best of luck!!!
I have a question. How we can indetify functoons that doesnt have a antiderivative?
What about not a ball but a sphere? Is that open?
Thanks sir
But i use this method all the time
0:22 doc dropped fire beat tho
I finally found a video that makes it more clear....Thanks man
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.
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.
Not gonna lie our teacher taught this first in middle school before quadratic formula, Indian maths teacher rocks
Exams coming this week, am glad i saw this...
From J. W. Patterson: are all transcendental numbers dimensionless?
Xtanx= ytany..thereafter uv - vdu...biparts...
At 5:40, instead of mentioning the definition of the Riemann integral, you can instead draw the graph y=1 and calculate the area manually as the area is just a rectangle. In my opinion this is more rigourous
Hi Dr Peyam, Id like to ask whether this can be proven with the mean value theorem and just be as valid? Mean value theorem + Squeeze theorem. Thanks!
Great explanation sir
Thanks and welcome!!
Hi !Dr Peyam, I love your videos and the way you explain things as intuitively as possible. I'd like to know whether you are missing at 9:52, since we know that delta has to be > 0 and epsilon also has to > 0, shouldn't we write delta > 0 somewhere? I mean, we've already established that epsilon > 0, that's good, but we haven't established that delta > 0. Is it missing or am I actually overthinking xD And sir, we know that we have to make delta = to min{1 , epsilon/7}. But why do we use epsilon / 7 at the end even though we don't know which one is smaller? Many thanks!
Why is e^(i ♾️^2) zero?
How can we prove that a function with it's derivative=0 is a constant?
Mean value theorem!
sir your analysis is great
this is the first time i learned some thing from a gay and to be honest he save us tomorrow in the algebra exam
L'hopital rule only works with 0/0 form
The general solution to the first PDE is actually f(y) + c, because it could also include a constant that doesn't depend on either x or y.
The c is part of f(y)
he's so enthusiastic, this eases assimilation
ouroboro
2:11:42