Riemannian geometry | Tensors in general relativity
In the math branches of differential geometry and vector calculus, the second covariant derivative, or the second order covariant derivative, of a vector field is the derivative of its derivative with respect to another two tangent vector fields. (Wikipedia).
First and Second Derivative Functions Using the Product Rule: Exp*Cosine
This video explains how to determine a first and second derivative using the quotient rule of differentiation.
From playlist Higher Order Differentiation
The Second Derivative of Parametric Equations - Part 2 of 2
This video explains how to determine the second derivative of parametric equations and how to determine when a curve written in parametric form is concave up or concave down. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Second Derivative of Vector-Valued Function Example 2
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From playlist Calculus
Section (4.2) Second Derivatives and Graphs
Applied Calculus Section (4.2) Second Derivative and Graphs In this lecture the second derivative is defined as it relates to the first derivative and as it relates to the graph of the original function. The second derivative is used in graphical analysis to identify intervals of concavity
From playlist Applied Calculus
The Chain Rule: Determine the First and Second Derivative of y=cos(2x^5)
This video explains how to determine a first and second derivative of a cosine function using the chain rule and product rule.
From playlist Differentiation Using the Chain Rule
The Second Derivative of Parametric Equations - Part 1 of 2
Complete Video List: http://www.mathispower4u.yolasite.com This video explains how to determine the second derivative of parametric equations and how to determine when a curve written in parametric form is concave up or concave down.
From playlist Parametric Equations
Second Derivative of Vector-Valued Function Example 1
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Second Derivative of Vector-Valued Function Example 1
From playlist Calculus
Determine the Second Derivative of a Vector Valued Function
This video provides an example on how to determine the 2nd derivative of a vector valued function.
From playlist Vector Valued Functions
Ex 2: First and Second Derivatives Using the Chain Rule - f(x)=ln(cos(x))
This video explains how to find the first and second derivatives and derivative function values. The results are verified graphically. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Higher Order Differentiation
What is General Relativity? Lesson 45 -Geodesic Deviation Part 2
What is General Relativity? Lesson 45 -Geodesic Deviation Part 2 A second lesson regarding geodesic deviation and that nature of the curvature tensor. This material mostly derived from Meisner Thorne and Wheeler chapter 11. Please consider supporting this channel via Patreon: https://www
From playlist What is General Relativity?
Lec 09. Einstein's General Relativity and Gravitation: General Relativity 5
UCI Physics 255 Einstein's General Relativity and Gravitation (Spring 2014) Lec 09. Einstein's General Relativity and Gravitation -- General Relativity -- Part 5 View the complete course: http://ocw.uci.edu/courses/einsteins_general_relativity_and_gravitation.html Instructor: Herbert W. Ha
From playlist Einstein's General Relativity and Gravitation
Lec 10. Einstein's General Relativity and Gravitation: General Relativity 6
UCI Physics 255 Einstein's General Relativity and Gravitation (Spring 2014) Lec 10. Einstein's General Relativity and Gravitation -- General Relativity -- Part 6 View the complete course: http://ocw.uci.edu/courses/einsteins_general_relativity_and_gravitation.html Instructor: Herbert W. Ha
From playlist Einstein's General Relativity and Gravitation
The Bianchi Identities | Tensor Calculus Ep. 17
Today we derive the differential and contracted Bianchi Identities. Video relating metric to gravity (newtonion limit): https://www.youtube.com/watch?v=kIi-qcSBa4w&t=69s&ab_channel=AndrewDotson Deriving the Riemann Curvature Tensor: https://www.youtube.com/watch?v=L8ISLzDYl68&t=1348s&ab_
From playlist New To Tensors? Start Here
Tensor Calculus 6b: The Covariant Derivative
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Tensor Calculus Lecture 10c: The Second Order Normal Derivative
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Einstein's General Theory of Relativity | Lecture 5
Lecture 5 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded October 20, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern phys
From playlist Lecture Collection | Modern Physics: Einstein's Theory
Tensor Calculus Lecture 6c: The Covariant Derivative 2
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
What is General Relativity? Lesson 15 The covariant derivative of a (p,q)-rank tensor
In this lesson we review all the CFREE algebraic rules and the COMP conversions and then demonstrate the CFREE and COMP formulas for the covariant derivative of an arbitrary tensor.
From playlist What is General Relativity?
The true second derivative test
In this video I present the second derivative test in multivariable calculus, which is used to find local maxima/minima/saddle points of a function. However, unlike the nonsense they usually teach in the books, here I'm presenting a more elegant way with some linear algebra blended in. I'm
From playlist Partial Derivatives
Tensor Calculus For Physics Ep. 11 | The Covariant Derivative
This video shows how to modify the notion of the derivative to include the affine connection, guaranteeing that the (covariant) derivative of a tensor yields another tensor. This series is based off "Tensor Calculus for Physics" by Dwight Neuenschwander which can be found at: https://www.
From playlist New To Tensors? Start Here