Factoring out the GCF to simplify the rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
In this video we cover some rational function fundamentals, including asymptotes and interecepts.
From playlist Polynomial Functions
Definition and examples of series. In this video, I define the notion of a series using partial sums, and give a couple of examples of series. I also show the fact used in many times in calculus that a series converges if and only if it is bounded, which is used many times in calculus. Enj
From playlist Series
This video introduces the harmonic series, explains why it is divergent and also examples infinite series that resemble the harmonic series. Site: http://mathispower4u.com
From playlist Infinite Series
The deep structure of the rational numbers | Real numbers and limits Math Foundations 95
The rational numbers deserve a lot of attention, as they are the heart of mathematics. I am hopeful that modern mathematics will (slowly) swing around to the crucial realization that a lot of things which are currently framed in terms of "real numbers" are more properly understood in terms
From playlist Math Foundations
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Diagonals of Rational Functions Diagonals of rational functions naturally occur in many applications, study several families of rational functions in three or four variables and investigate the nature of their diagonals (hypergeometric 2F1 functions, Heun functions, modular forms, functi
From playlist DART X
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves 4/5
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by th
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Ex 1: Find a Power Series to Represent a Rational Function
This video explains how to determine a power series to represent a basic rational function. Site: http://mathispower4u.com
From playlist Power Series
2.11117 What is a rational function Functions
http://www.freemathvideos.com presents: Learn math your way. My mission is to provide quality math education to everyone that is willing to receive it. This video is only a portion of a video course I have created as a math teacher. Please visit my website to join my mailing list, downloa
From playlist Rational Functions - Understanding
Lucia Di Vizio : Méthodes galoisiennes appliquées aux équations fonctionnelles issues de la...
CONFERENCE Recording during the thematic meeting : « ALEA Days» the March 16, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker : Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathemat
From playlist Combinatorics
Johanna Franklin: Carleson's Theorem and Schnorr randomness
Recording during the thematic meeting : "Computability, Randomness and Applications" the June 21, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's A
From playlist Logic and Foundations
Colloquium MathAlp 2018 - Stéphane Jaffard
Quelle est la régularité de la fonction de Brjuno ? Introduite par J.-C. Yoccoz, la fonction de Brjuno fournit une information importante sur les problèmes de petits diviseurs analytiques. Elle semble ne posséder aucune régularite en un sens raisonnable: elle n'est nulle part localement
From playlist Colloquiums MathAlp
Dang Khoa Nguyen, University of Calgary
March 5, Dang Khoa Nguyen, University of Calgary D-finiteness, rationality, and height
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
Introduction to Modular Forms - Part 7 of 8
“Introduction to Modular Forms,” by Keith Conrad. Topics include Eisenstein series and q-expansions, applications to sums of squares and zeta-values, Hecke operators, eigenforms, and the L-function of a modular form. This is a video from CTNT, the Connecticut Summer School in Number Theor
From playlist CTNT 2016 - "Introduction to Modular Forms" by Keith Conrad
Fourier Series Coefficients (where did they come from?)
Learn how to derive the Fourier series coefficients formulas. Remember, a Fourier series is a series representation of a function with sin(nx) and cos(nx) as its building blocks. Meanwhile, a Taylor series is a series representation of a function with x^n as its building blocks. These are
From playlist Fourier Series
Birch Swinnerton-Dyer conjecture: Introduction
This talk is an graduate-level introduction to the Birch Swinnerton-Dyer conjecture in number theory, relating the rank of the Mordell group of a rational elliptic curve to the order of the zero of its L series at s=1. We explain the meaning of these terms, describe the motivation for the
From playlist Math talks