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Jeffrey Chasnov
Hong Kong
Приєднався 25 лют 2008
Math videos from The Hong Kong University of Science and Technology Math Professor Jeffrey Chasnov. Six of the playlists are videos from his Coursera courses. The other videos are linked to from his university course notes, available at his website. A playlist, Deep Dive Maths, presents in depth videos on topics in Applied Mathematics.
Demystifying Quantum Mechanics using Minimum Uncertainty Wavepackets
Dive into the intriguing world of quantum mechanics by examining the physics through the lens of the minimum uncertainty wavepacket. Join Prof. Jeff Chasnov as he uncovers the captivating history of the revolutionary quantum theory, and computes both particle-like and wave-like behaviors using the famous Schrödinger equation. Join him on this quantum adventure!
Subscribe to my UA-cam channel:
ua-cam.com/users/jchasnov
Join me on Coursera:
Mathematics for Engineers Specialization
imp.i384100.net/mathematics-for-engineers
Fibonacci Numbers and the Golden Ratio
imp.i384100.net/fibonacci-numbers-and-the-golden-ratio
Subscribe to my UA-cam channel:
ua-cam.com/users/jchasnov
Join me on Coursera:
Mathematics for Engineers Specialization
imp.i384100.net/mathematics-for-engineers
Fibonacci Numbers and the Golden Ratio
imp.i384100.net/fibonacci-numbers-and-the-golden-ratio
Переглядів: 1 486
Відео
The Amazing Equation y’ = y: Defining the Exponential, Logarithm, Sine, and Cosine | Deep Dive Maths
Переглядів 4,9 тис.11 місяців тому
Beginning with a simple differential equation, uncover the definitions of the exponential function, logarithm, sine and cosine functions, and the transcendental numbers pi and e. Join Prof. Jeff Chasnov on a captivating journey connecting these four functions and witness the beauty of Euler's identity. Don't miss out on discovering a deeper appreciation for the elegance of mathematics! Subscrib...
The Remarkable Relationship between the Levi-Civita Symbol and the Kronecker Delta | Deep Dive Maths
Переглядів 14 тис.Рік тому
Delve into the fascinating relationship between the Levi-Civita symbol and the Kronecker delta. Join Prof. Jeff Chasnov as he defines both symbols, reveals their intriguing connection, and illustrates their use in proving vector identities. Embark with Jeff on this mathematical journey as his proof seamlessly blends permutation matrices, orthonormal vectors, and the properties of determinants. ...
The Del Operator in spherical coordinates | Lecture 34 | Vector Calculus for Engineers
Переглядів 7 тис.Рік тому
How to write the gradient, Laplacian, divergence and curl in spherical coordinates. Join me on Coursera: imp.i384100.net/mathematics-for-engineers Lecture notes at www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Paperback at www.amazon.com/Vector-Calculus-Engineers-Mathematics/dp/B0BMJMRYBH/ Subscribe to my channel: ua-cam.com/users/jchasnov
The Rise and Fall of Quaternions: Why We Use i, j, and k in Vector Calculus | Deep Dive Maths
Переглядів 13 тис.2 роки тому
Discover the fascinating history behind the Cartesian unit vectors i, j, and k, and their connection to the world of quaternions! Join Prof. Jeff Chasnov as he takes you on a journey through the history of mathematics, revealing how quaternions spurred the development of vector calculus. Don't miss this captivating story that combines math, history, and the intense vector algebra wars of the la...
Behind the Scenes: The Making of a Lightboard Video for Coursera's Mathematics for Engineers
Переглядів 7 тис.2 роки тому
Footage of how we made the lightboard videos for our Coursera MOOC: Mathematics for Engineers. Join me on Coursera: imp.i384100.net/mathematics-for-engineers
Karman vortex street at Re = 80
Переглядів 8 тис.2 роки тому
Calculation of the Kármán vortex street for the two-dimensional flow around an infinite cylinder, with Re = 80. The calculation uses a stream function-vorticity formulation and a second order finite difference method in log-polar coordinates. The spatial resolution is 401x402 grid points. The vorticity equation is integrated in time using the MATLAB function ode23.m. Massless particles one grid...
MATLAB Program (Steady) (Part B) | Lecture 15 | Flow Around a Cylinder
Переглядів 3,3 тис.2 роки тому
Graphics code for the MATLAB program to compute the steady flow around a cylinder. Join me on Coursera: imp.i384100.net/mathematics-for-engineers Lecture notes at www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Paperback at www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/ Subscribe to my channel: ua-cam.com/users/jchasnov
MATLAB Program (Steady) (Part A) | Lecture 14 | Flow Around a Cylinder
Переглядів 2,5 тис.2 роки тому
Template for the MATLAB program to compute the steady flow around a cylinder. Join me on Coursera: imp.i384100.net/mathematics-for-engineers Lecture notes at www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Paperback at www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/ Subscribe to my channel: ua-cam.com/users/jchasnov
MATLAB Program (Unsteady) (Part B) | Lecture 22 | Flow Around a Cylinder
Переглядів 1 тис.2 роки тому
Explanation of the graphics program for constructing a movie of the vorticity in the unsteady flow problem, and visualizing the Karman vortex street. Join me on Coursera: imp.i384100.net/mathematics-for-engineers Lecture notes at www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Paperback at www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/ Subscribe to my channel:...
MATLAB Program (Unsteady) (Part A) | Lecture 21 | Flow Around a Cylinder
Переглядів 1,3 тис.2 роки тому
Discussion of a template for solving the unsteady flow problem. Join me on Coursera: www.coursera.org/learn/mathematics-engineers-capstone Lecture notes at www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Paperback at www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/ Subscribe to my channel: ua-cam.com/users/jchasnov
Vorticity Computation | Lecture 20 | Flow Around a Cylinder
Переглядів 8232 роки тому
Solving the scalar vorticity equation for an unsteady flow using ode23.m. Join me on Coursera: imp.i384100.net/mathematics-for-engineers Lecture notes at www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Paperback at www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/ Subscribe to my channel: ua-cam.com/users/jchasnov
Stream-Function Boundary Conditions | Lecture 19 | Flow Around a Cylinder
Переглядів 9362 роки тому
Enforcing the boundary conditions on the stream function in a direct matrix solution. Join me on Coursera: imp.i384100.net/mathematics-for-engineers Lecture notes at www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Paperback at www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/ Subscribe to my channel: ua-cam.com/users/jchasnov
Stream-Function Computation | Lecture 18 | Flow Around a Cylinder
Переглядів 5772 роки тому
The method for solving for the stream function for the unsteady flow. Join me on Coursera: imp.i384100.net/mathematics-for-engineers Lecture notes at www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Paperback at www.amazon.com/Flow-Around-Cylinder-Mathematics-Engineers/dp/B0BPW3JSMX/ Subscribe to my channel: ua-cam.com/users/jchasnov
Finite Difference Equations | Lecture 17 | Flow Around a Cylinder
Переглядів 7552 роки тому
Finite Difference Equations | Lecture 17 | Flow Around a Cylinder
Periodic Boundary Conditions | Lecture 16 | Flow Around a Cylinder
Переглядів 1,2 тис.2 роки тому
Periodic Boundary Conditions | Lecture 16 | Flow Around a Cylinder
Summary of the Boundary Conditions | Lecture 13 | Flow Around a Cylinder
Переглядів 6522 роки тому
Summary of the Boundary Conditions | Lecture 13 | Flow Around a Cylinder
Cylinder Boundary Conditions | Lecture 12 | Flow Around a Cylinder
Переглядів 1,4 тис.2 роки тому
Cylinder Boundary Conditions | Lecture 12 | Flow Around a Cylinder
Free-Stream Boundary Conditions | Lecture 11 | Flow Around a Cylinder
Переглядів 1,4 тис.2 роки тому
Free-Stream Boundary Conditions | Lecture 11 | Flow Around a Cylinder
Iteration Equations | Lecture 10 | Flow Around a Cylinder
Переглядів 8402 роки тому
Iteration Equations | Lecture 10 | Flow Around a Cylinder
Finite Difference Method | Lecture 9 | Flow Around a Cylinder
Переглядів 2,3 тис.2 роки тому
Finite Difference Method | Lecture 9 | Flow Around a Cylinder
Log-Polar Coordinates | Lecture 8 | Flow Around a Cylinder
Переглядів 1,2 тис.2 роки тому
Log-Polar Coordinates | Lecture 8 | Flow Around a Cylinder
Reynolds Number | Lecture 7 | Flow Around a Cylinder
Переглядів 2 тис.2 роки тому
Reynolds Number | Lecture 7 | Flow Around a Cylinder
Streamlines | Lecture 6 | Flow Around a Cylinder
Переглядів 2 тис.2 роки тому
Streamlines | Lecture 6 | Flow Around a Cylinder
Stream Function | Lecture 5 | Flow Around a Cylinder
Переглядів 2 тис.2 роки тому
Stream Function | Lecture 5 | Flow Around a Cylinder
Two-dimensional Flow | Lecture 4 | Flow Around a Cylinder
Переглядів 2 тис.2 роки тому
Two-dimensional Flow | Lecture 4 | Flow Around a Cylinder
Geometry of the Flow | Lecture 3 | Flow Around a Cylinder
Переглядів 2,5 тис.2 роки тому
Geometry of the Flow | Lecture 3 | Flow Around a Cylinder
Vorticity Equation | Lecture 2 | Flow Around a Cylinder
Переглядів 6 тис.2 роки тому
Vorticity Equation | Lecture 2 | Flow Around a Cylinder
Navier-Stokes Equations | Lecture 1 | Flow Around a Cylinder
Переглядів 11 тис.2 роки тому
Navier-Stokes Equations | Lecture 1 | Flow Around a Cylinder
Promotional Video | Mathematics for Engineers
Переглядів 6 тис.2 роки тому
Promotional Video | Mathematics for Engineers
Beautiful proof
I'm going to talk with the principal to hire you.
Thanks for the explanation !! The concept of splines is really useful .
is RK4 a higher order "Runge kutta method" or it is classical method
Thank you!
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WHAT IF YOU TAKE THE PARTIAL OF f with respect to u. Or df/ du or f sub u. THEN it's fu.
Awesome explanation, thank you so much
2:00 work is line integral, force. cause mass by. Energy
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¿se produce ese desfasaje porque las direncias mumericas leves de discretizacion de la mallas entre distintos puntos se va acentuando a medida que que se itera? y esta diferencia existe en los errores geometricos de los cilindro como minimas asimetrias reales que induces a generas las semillas de las oscilaciones? pero esto no es la explicacion de esto en si, ¿porque debe usarse con Navier Stokes como una receta aspirina para todo tipo de dolor sin ir al medico? ¿realmente esa ecuacion es valida para usarse en estos casos?, A mi juicio se ignoran otros fenomenos para entender este problema, porque se quiere seguir alguna escuela de pensamiento o teoria de fisica
1:00
1:00
1:31 Partialdifferentialeq
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17:20 e**(i theta)
5:21 One of the eigenvalue is positive and the other is negative
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Thanks
2:49 x(t)=e**rt
It's a shame WW2 spread jews around the way it did.
it was great. thanks a lot
This is not the SOR method! SOR is based on the Gauss-Seidel not on the Jacobi method.
This lecture was extremely easy to understand having followed the previous lectures in the series. Very good
Would you tell me why we have to devide a nought by two
videos are not linked, I don’t see lecture 12. Otherwise, very good presentation. Though, this special case of zeros probably better introduced in other lecture?
Still confused 😪
Thank you professor !!
I can't download the notes.
I was in my first year of a physics degree 20 years ago. I wasn’t that motivated in the field and I changed direction to medicine. Revisiting these topics now is satisfying . These videos are excellent.
I was in my first year of a physics degree 20 years ago but didn’t take it further. I’m enjoying coming back to these concepts and this video was very satisfying .
I was in my first year of a physics degree 20 years ago but didn’t take it further. I’m enjoying coming back to these concepts and this video was very satisfying .
m*n m=number of rows
If we consider about case1 where masses oscillates in same direction then effect system will be a mass at centre with two spring connected at both side, then its a parallel case where k-effective will be k+k=2k then its frequence will be √2k/m ? How
What happens if the pivot equals 0?
Numerical algorithms need to include pivoting, that is row interchanges.
Hi thanks for the video ! I just have a question related to the probabilities B x delta t and Gamma x Delta t. If I understand correctly it makes the asumption that the probability that an infective infects a susceptible in a time delta t is proportional to that time delta t. Which would mean the probability would go over 1 in a long time stretch which is impossible. I'm using this model for my final school presentation and I need to be ready to answer these questions :)
Best introduction so far of this concept. Clearly explained and recapped
You look like mike from breaking bad.
Fuck
Thank you
How do you get that the integral is found with W(x) by which method?
Fantastic video ! Thanks a lot, you explain wonderfully !
Thank you
Thanks for uploading these courses.
Unfortunately, I found this playlist -_- A recap of my course. By the way, the intro was awesome.
can someone explain to me why df does not equal to the gradient dot d(theta)? As f also varies with theta!