11: Clairaut's Theorem Intuition - Valuable Vector Calculus
Clairaut's theorem, also known as Schwarz's theorem or Young's theorem, says that mixed partial derivatives are equal regardless of order: fₓᵧ = fᵧₓ. In this video, we go through an intuitive explanation based on visual geometry, then some algebra! Full Valuable Vector Calculus playlist:
From playlist Valuable Vector Calculus
Differential Equations Ultimate Study Guide
First Order Differential Equations Ultimate Study Guide! The topics include separable differential equations, first-order linear differential equations, exact differential equations, almost exact differential equations, homogeneous differential equations, Bernoulli differential equations,
From playlist Ultimate Study Guide
In this video, I give a very clever proof of Clairaut's theorem, which says that if the partial derivatives f_xy and f_yx are continuous at a point, then must be equal. Usually this is proved using difference quotients, but here I give a proof using double integrals. I also give a nice pro
From playlist Partial Derivatives
Solve the general solution for differentiable equation with trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
How to solve differentiable equations with logarithms
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
PDE 9 | Wave equation: general solution
An introduction to partial differential equations. PDE playlist: http://www.youtube.com/view_play_list?p=F6061160B55B0203 Part 9 topics: -- quick argument to find solutions of wave equation -- derivation of general solution of the wave equation (11:54)
From playlist Mathematical Physics II - Youtube
My Strategy for Learning Calc 3/ A Guide to Self-Learning Calculus 3 [calculus 3 problem set 📘]
I got a few comments a while ago asking me to go through my strategy for learning calc 3. With the move and trying to figure out how to film in the new apartment I thought it would be a great time to present my guide to self-learning calculus 3 that I used way back right before I started u
From playlist The New CHALKboard
In this video, I show that Isaac Newton's three laws, when coupled with his universal law of gravitation, give Kepler's three laws, a feat that Newton accomplished in 1687 in his Principia. I also show that the periods and semimajor axes of planetary and asteroid orbits obey Kepler's third
From playlist Intermediate Classical Mechanics
From playlist Partial Derivatives
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
How to solve a differentialble equation by separating the variables
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
The Frenet Serret equations (example) | Differential Geometry 19 | NJ Wildberger
Following from the last lecture on the Frenet Serret equations, we here look in detail at an important illustrative example--that of a helix. The Fundamental theorem of curves is stated--that the curvature and torsion essentially determine a 3D curve up to congruence. We introduce the osc
From playlist Differential Geometry
General solution of a separable equation
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
Multivariable Calculus | Higher partial derivatives.
We discuss higher order partial derivatives with examples and a discussion of Clairaut's Theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Pre-recorded lecture 1: Introduction. What is Nijenhuis Geometry?
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
From playlist Differential Equations
Illustrates the solution of a Bernoulli first-order differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
From playlist Differential Equations with YouTube Examples
Poisson tensors in non-commutative gravity
In this video I go through my master thesis. You can find all the links discussed here: https://gist.github.com/Nikolaj-K/ce2dd6b6da0fbd791529bc8dd9183a74 Links: http://othes.univie.ac.at/16190/ https://arxiv.org/abs/1111.2732 https://www.linkedin.com/in/nikolaj-kuntner-0138aa104/ http
From playlist Physics
Particular solution of differential equations
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration