Runge Kutta Methods | Lecture 50 | Numerical Methods for Engineers
How to derive the family of second-order Runge-Kutta methods for solving an ordinary differential equation. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my
From playlist Numerical Methods for Engineers
This is a video I have been wanting to make for some time, in which I discuss what the quaternions are, as mathematical objects, and how we do calculations with them. In particular, we will see how the fundamental equation of the quaternions i^2=j^2=k^2=ijk=-1 easily generates the rule for
From playlist Quaternions
Second-order Runge Kutta methods | Lecture 51 | Numerical Methods for Engineers
The family of second-order Runge Kutta methods for solving ordinary differential equations. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http:/
From playlist Numerical Methods for Engineers
quaternion square root of -1. We calculate the square root of -1 using the quaternions, which involves knowing how to multiply quaternion numbers. The answer will surprise you, because it involves spheres and it will make you see complex numbers in a new way, as north and south poles of ba
From playlist Complex Analysis
Pär Kurlberg: Class number statistics for imaginary quadratic fields Pär Kurlberg
Abstract: The number F(h) of imaginary quadratic fields with class number h is of classical interest: Gauss' class number problem asks for a determination of those fields counted by F(h). The unconditional computation of F(h) for h x is less or equal to y 100 was completed by M. Watkins, a
From playlist Number Theory
Higher-order Runge-Kutta Methods | Lecture 52 | Numerical Methods for Engineers
A discussion of higher-order Runge-Kutta methods, including the popular fourth-order method. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http
From playlist Numerical Methods for Engineers
Runge-Kutta Integrator Overview: All Purpose Numerical Integration of Differential Equations
In this video, I introduce one of the most powerful families of numerical integrators: the Runge-Kutta schemes. These provide very accurate and efficient "all-purpose" numerical integrators for ordinary differential equations. Specifically, we introduce the 2nd-order and 4th-order accura
From playlist Engineering Math: Differential Equations and Dynamical Systems
Runge-Kutta ODE solver as infinite stream
A python implementation of Runge-Kutta as infinite stream, including examples. You can download the code here: https://gist.github.com/Nikolaj-K/75fbaedf02a1865a46f35ba2aab719c6
From playlist Physics
Mod-01 Lec-13 Gauss 2-point Rule: Error
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Chao Li - 2/2 Geometric and Arithmetic Theta Correspondences
Geometric/arithmetic theta correspondences provide correspondences between automorphic forms and cohomology classes/algebraic cycles on Shimura varieties. I will give an introduction focusing on the example of unitary groups and highlight recent advances in the arithmetic theory (also know
From playlist 2022 Summer School on the Langlands program
Profinite Completions and Representation Rigidity - Ryan Spitler
Arithmetic Groups Topic: Profinite Completions and Representation Rigidity Speaker: Ryan Spitler Affiliation: Rice University Date: February 02, 2022 Taking up the terminology established in the first lecture, in 1970 Grothendieck showed that when two groups (G,H) form a Grothendieck pai
From playlist Mathematics
Logic 7 - First Order Logic | Stanford CS221: AI (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Arithmetic Sequences and Arithmetic Series - Basic Introduction
This video provides a basic introduction into arithmetic sequences and series. It explains how to find the nth term of a sequence as well as how to find the sum of an arithmetic sequence. It also discusses how to distinguish a finite sequence from an infinite series. It also includes a
From playlist New Precalculus Video Playlist
ʕ•ᴥ•ʔ Arithmetic Sequences and Series Problems and Examples
Quickly master how to solve arithmetic series. Watch more lessons like this and try our practice at https://www.studypug.com/algebra-help/sequences-and-series/arithmetic-series An arithmetic series is the sum of an arithmetic sequence. In this lesson, we will learn how to solve problems
From playlist AccuPlacer Exam Prep
Luis Garcia Puente - LatMath 2022 - IPAM's Latinx in the Mathematical Sciences Conference
Recorded 08 July 2022. Luis Garcia Puente presents at IPAM's Latinx in the Mathematical Sciences Conference. Learn more online at: http://www.ipam.ucla.edu/programs/special-events-and-conferences/latinx-in-the-mathematical-sciences-conference-2022/
From playlist LatMath 2022 - IPAM's Latinx in the Mathematical Sciences Conference
Quick Intro to Arithmetic Sequences
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Quick Intro to Arithmetic Sequences - Just a quick idea of what an arithmetic sequence is! I give a few examples!
From playlist All Videos - Part 8
SO COOL!!! The Arithmetic Derivative: How to DIFFERENTIATE Numbers
GET 15% OFF EVERYTHING! THIS IS EPIC! https://teespring.com/stores/papaflammy?pr=PAPAFLAMMY Help me create more free content! =) https://www.patreon.com/mathable AC Playlist: https://www.youtube.com/watch?v=jmD1CWzHjzU&list=PLN2B6ZNu6xmdvtm_DdFUaHIK_VB84hG_m ARE YOU TIRED OF YOUR CONSTA
From playlist Advent Calendar 2018
Mod By A Group: Generalized Modular Arithmetic, from Basic Modular Arithmetic Congruence to 'Normal'
This time I wanted to tackle what it means to Mod by a Group (or rather by a subgroup) and how that can give rise to generalized modular arithmetic. I start from basic modular arithmetic congruence in the integers and used that as a vehicle to build up to the idea of 'Normal' in Abstract a
From playlist The New CHALKboard
Kummer Interpretation of Units
This is the basic isomorphism H^1(G_K,ZZ(1) ) = \widehat{K^{\times}} for K a local field. This is part of the Kummer Interpretation of K.
From playlist Anabelian Geometry
Spectra in locally symmetric spaces by Alan Reid
PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will
From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)