Interpolation | Polynomials | Finite differences | Factorial and binomial topics
In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes called Newton's divided differences interpolation polynomial because the coefficients of the polynomial are calculated using Newton's divided differences method. (Wikipedia).
Classify a polynomial then determining if it is a polynomial or not
๐ 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?
Learn how to identify if a function is a polynomial and identify the degree and LC
๐ 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?
Determining if a function is a polynomial or not then determine degree and LC
๐ 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?
Determining if a equation is a polynomial or not
๐ 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?
Is it a polynomial with two variables
๐ 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?
Free ebook http://tinyurl.com/EngMathYT A lecture showing how to compute Taylor polynomials. Plenty of examples are discussed and solved. Such ideas are used in approximation of functions and are seen in university mathematics.
From playlist A second course in university calculus.
Ch4 Pr4: Taylor Polynomial of a polynomial
The Taylor Polynomial to a function about x=a is a polynomial expressed in powers of (x-a). This example is from Chapter 4 Problem 4a,b in the MATH1231/1241 Calculus notes. Presented by Dr Daniel Mansfield from the UNSW School of Mathematics and Statistics.
From playlist Mathematics 1B (Calculus)
Solving Polynomial Equations Graphically
http://mathispower4u.wordpress.com/
From playlist Solving Polynomial Equations / Increasing and Decreasing Polynomials
Classifying a polynomial based on its degree and number of terms
๐ 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
Newton's Method Using Quadratics (#SoME2)
This video is made as a submission to 3blue1brown's Summer of Math Exposition 2 event. It shows how Newton's Method for approximating the roots of higher order polynomials can be extended to use taylor quadratics instead of tangent lines. Link to desmos file: https://www.desmos.com/calcul
From playlist Summer of Math Exposition 2 videos
Newton's Infinitesimal Calculus (2): Approximation of Roots (Newton's Method)
We show how Newton is able to approximate a root for a given polynomial based upon guessing and neglecting higher-order terms. Today, we call this the Newton-Raphson Method and typically introduce it in the setting of a calculus course. It turns out that no concept of slope or tangent line
From playlist Math
Newtonโs method, and the fractal it creates that Newton knew nothing about
Who knew root-finding could be so complicated? Next part: https://youtu.be/LqbZpur38nw Special thanks to the following supporters: https://3b1b.co/lessons/newtons-fractal#thanks An equally valuable form of support is to simply share the videos. ------------------ Interactive for this vid
From playlist Explainers
Ch05n3: Roots of Polynomials; Hornerโs Algorithm
Roots of Polynomials; Hornerโs Algorithm Numerical Computation, chapter 5, additional video no 3. To be viewed after the regular videos of chapter 5, and additional video 2. Wen Shen, Penn State University, 2018.
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Horner's Method (Ruffini-Horner Scheme) for evaluating polynomials including a brief history, examples, Ruffini's Rule with derivatives, and root finding using Newton-Horner. Example code on GitHub https://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:11 - History 1:33 - TLDR 1
From playlist Root Finding
Newton Polytopes and parameter estimation in reaction networks by Nidhi Kaihnsa
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Hermite interpolation. Numerical methods, chapter 2, additional video no 3. To be viewed after video Ch02n2. Wen Shen, Penn State University, 2018.
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Singular Learning Theory - Seminar 23 - Newton diagrams in singular learning theory
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Edmund Lau presents the paper "Asymptotic analysis of Bayesian generalization error with Newton diagram" by K. Yamazaki, M. Aoya
From playlist Singular Learning Theory
Factors of sparse polynomials: structural results and some algorithms - Shubhangi Saraf
Computer Science/Discrete Mathematics Seminar II Topic: Factors of sparse polynomials: structural results and some algorithms Speaker: Shubhangi Saraf Affiliation: Member, School of Mathematics Date: March 26, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Labeling a polynomial based on the degree and number of terms
๐ 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
Engineering CEE 20: Engineering Problem Solving. Lecture 20
UCI CIvil & Environmental Engineering 20 Engineering Problem Solving (Spring 2013) Lec 20. Engineering Problem Solving View the complete course: http://ocw.uci.edu/courses/cee_20_introduction_to_computational_engineering_problem_solving.html Instructor: Jasper Alexander Vrugt, Ph.D. Licen
From playlist Engineering CEE 20: Engineering Problem Solving