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
Sam Sanders (joint with Dag Normann): Uniformity in mathematics
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: The 19th century saw a systematic (pre-set theory) development of real analysis in which many theorems were proved using compactness. In the work of Dini, Pincherle, and
From playlist Workshop: "Proofs and Computation"
C39 A Cauchy Euler equation that is nonhomogeneous
A look at what to do with a Cauchy Euler equation that is non-homogeneous.
From playlist Differential Equations
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
Taylor polynomials + functions of two variables
Download the free PDF http://tinyurl.com/EngMathYT This is a basic tutorial on how to calculate a Taylor polynomial for a function of two variables. The ideas are applied to approximate a difficult square root. Such concepts are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Classify a polynomial then determining if it is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Multivariable Taylor Polynomials
Free ebook http://tinyurl.com/EngMathYT A lecture on how to calculate Taylor polynomials and series for functions of two variables. Such ideas are useful in approximation of functions. We show where the polynomial representation comes from.
From playlist Mathematics for Finance & Actuarial Studies 2
C36 Example problem solving a Cauchy Euler equation
An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.
From playlist Differential Equations
How to Compute a Maclaurin Polynomial
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook What is a Maclaurin polynomial? In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point
From playlist A second course in university calculus.
Learn how to identify if a function is a polynomial and identify the degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
On the symmetries of and equivalence test for design polynomials by Nikhil Gupta
Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa
From playlist Workshop on Algebraic Complexity Theory 2019
Superpolynomial Lower Bounds Against Low-Depth Algebraic Circuits I... - Srikanth Srinivasan
Computer Science/Discrete Mathematics Seminar I Topic: Superpolynomial Lower Bounds Against Low-Depth Algebraic Circuits I : An overview Speaker: Srikanth Srinivasan Affiliation: Aarhus University Date: September 27, 2021 Every multivariate polynomial P(x_1,...,x_n) can be written as a
From playlist Mathematics
Linear Algebra 2i: Polynomials Are Vectors, Too!
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Francesco Mezzadri: Moments of Random Matrices and Hypergeometric Orthogonal Polynomials
We establish a new connection between moments of n×n random matrices $X_{n}$ and hypergeometric orthogonal polynomials. Specifically, we consider moments $\mathbb{E}\mathrm{Tr} X_n^{-s}$ as a function of the complex variable $s\in\mathbb{C}$, whose analytic structure we describe completely
From playlist Jean-Morlet Chair - Grava/Bufetov
Proof of the existence of the minimal polynomial. Every polynomial that annihilates an operator is a polynomial multiple of the minimal polynomial of the operator. The eigenvalues of an operator are precisely the zeros of the minimal polynomial of the operator.
From playlist Linear Algebra Done Right
In this video I discuss irreducible polynomials and tests for irreducibility. Note that this video is intended for students in abstract algebra and is not appropriate for high-school or early college level algebra courses.
From playlist Abstract Algebra
Relative rank and regularity - Tamar Ziegler
Computer Science/Discrete Mathematics Seminar I Topic: Relative rank and regularity Speaker: Tamar Ziegler Affiliation: Hebrew University; Distinguished Visiting Professor, School of Mathematics Date: October 03, 2022Â The notion of Schmidt rank/strength for a collection of m polynomials
From playlist Mathematics
Polynomials – The BIG PICTURE…you need know….
TabletClass Math: https://tcmathacademy.com/ Math help with polynomials to include graphs and how to find roots. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebr
From playlist Pre-Calculus / Trigonometry
Classifying a polynomial based on its degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
CSDM - Rafael Oliveira - October 12, 2015
http://www.math.ias.edu/calendar/event/83504/1444662900/1444666500
From playlist Computer Science/Discrete Mathematics