Another, perhaps better, method of solving for a higher-order, linear, nonhomogeneous differential equation with constant coefficients. In essence, some form of differentiation is performed on both sides of the equation, annihilating the right-hand side (to zero), so as to change it into
From playlist Differential Equations
7A_2 Linear Algebra Definitions
"linear algebra" "matrix equations" "linear set" "set linear equations" linear algebra matrix equation linear set equations "triangular matrix" "square matrix" "main diagonal" homogenous consistent triangular square "elemetary matrix" elementary row echelon reduced
From playlist Linear Algebra
Introducing Modes of the major scale | Maths and Music | N J Wildberger
Let's introduce the classical modes of the major scale: Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian and Locrian. But we want to do this in two different ways! In our next video, we will be wanting to generalize this construction considerably, and also to free it from this curren
From playlist Maths and Music
9A_2 The Inverse of a Matrix Using the Idenity Matrix
The inverse of a matrix using the method of elementary row operation with an identity matrix added to the matrix.
From playlist Linear Algebra
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
6B Row-Echelon Forms-YouTube sharing.mov
Explains the concept of row-echelon from, the form a matrix is in when Gauss elimination is applied to it.
From playlist Linear Algebra
Math 060 Linear Algebra 01 090514: Systems of Linear Equations; Matrices
1.1 Introduction: systems of linear equations. "Legal" operations (that result in equivalent systems, i.e., systems with the same solution set). Row echelon form, lead variables, free variables. Definition of a matrix; matrix addition, scalar multiplication, additive inverses.
From playlist Course 4: Linear Algebra
Introduction to Ancient Greek History (CLCV 205) In this lecture, Professor Kagan traces the development and the power of the Persian empire. He also shows how the Persian empire and the Greek world eventually came into conflict through a few incidents concerning Ionian Greeks in Asia M
From playlist Introduction to Ancient Greek History with Donald Kagan
The Pirate Queen who fought the Roman Empire
In the third century BC, Teuta, Queen Regent of the Ardiaei, led a kingdom known for piracy to great victories and expansion along the Adriatic coast. But their actions drew the attention of a growing power in the Mediterranean, Rome. The First Illyrian War pitted the might of the new Ro
From playlist Rome
The Peloponnesian War | World History | Khan Academy
An overview of the Peloponnesian War, including the Archidamian War, the Athenian attack on Syracuse, and the Decelean War. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/prelude-to-the-peloponnesian-war W
From playlist 600 BCE - 600 CE Second-Wave Civilizations | AP World History | Khan Academy
We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the
From playlist Introducing linear algebra
The numerical system of the ancient Greeks | Sociology and Pure Maths | N J Wildberger
We review the ancient Greek approach to arithmetic, both Attic and Ionian systems, discuss Archimedes' extension of it in the Sand Reckoner, and look at gematria, the curious art of linking words and numbers arising from the Greek system. This is one of a series of videos where we look br
From playlist Sociology and Pure Mathematics
The Persians & Greeks: Crash Course World History #5
In which John compares and contrasts Greek civilization and the Persian Empire. Of course, we're glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all
From playlist World History
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Physics 20B. Cosmology. Lec. 2: The Dawn of Science
UCI Physics 20B: Cosmology (Winter 2015) Lec 02. Cosmology -- The Dawn of Science View the complete course: http://ocw.uci.edu/courses/physics_20b_cosmology.html Instructor: James Bullock, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http
From playlist Physics 20B: Cosmology
Modes of Minor and other Scales | Maths and Music | N J Wildberger
We use the mathematical 12 tone chromatic scale as a framework for an expanded view of modes in music, focusing first on minor scales, and then branching out to other scales. This frees us from the somewhat limiting pre-occupation with the usual Dorian, Lydian, Mixolydian etc modes for the
From playlist Maths and Music
Greeks and Persians | World history | Khan Academy
In which John compares and contrasts Greek civilization and the Persian Empire. Of course we're glad that Greek civilization spawned modern western civilization, right? Maybe not. From Socrates and Plato to Darius and Xerxes, John explains two of the great powers of the ancient world, all
From playlist Crash Course: World History | World History | Khan Academy
C23 More about the annihilator approach
Finding the annihilator differential operator for other types of expressions.
From playlist Differential Equations
Diplomacy: Media Wars II (Turkey Post-Game Analysis)
My Diplomacy intro video: https://www.youtube.com/watch?v=oUaLEgzvMQs Media Wars II teaser: https://www.youtube.com/watch?v=ls2q3d7k_Cc Join my Discord server to discuss this video and more: https://discord.gg/AVcU9w5gVW Diplomacy: Media Wars II has finished after several long months, so
From playlist Diplomacy