In numerical analysis and scientific computing, the trapezoidal rule is a numerical method to solve ordinary differential equations derived from the trapezoidal rule for computing integrals. The trapezoidal rule is an implicit second-order method, which can be considered as both a Runge–Kutta method and a linear multistep method. (Wikipedia).
This video explains the idea of the trapezoid rule of numerical integration and provides and example. It also integrates the graphing calculator. http://mathispower4u.wordpress.com/
From playlist Integration Intro
This calculus video tutorial provides a basic introduction into the trapezoidal rule which can be used to estimate the value of a definite integral or the area under a curve. This video contains a few examples and practice problems on numerical integration. Calculus Video Playlist: http
From playlist New Calculus Video Playlist
Example of Trapezoid Rule with Error Bound
Calculus: The Trapezoid Rule is used to approximate the area under the curve f(x) = (1+x)^2 over the interval [0,2]. A bound for the error in the approximation is also given.
From playlist Calculus Pt 2: Basic Integration
Trapezoid Rule - Determine n for a Given Accuracy
This video explains how to determine n to meet a given accuracy using the Trapezoid Rule. Site: http://mathispower4u.com
From playlist Numerical Integration
Trapezoidal Rule | Lecture 37 | Numerical Methods for Engineers
Derivation of the trapezoidal rule and its error terms for numerical integration using the midpoint rule. 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
When does trapezoidal rule overestimate?
In this video we talk about when trapezoidal rule overestimates the area under the curve, when it underestimates the area under the curve, and when it finds exact area. 0:38 What does trapezoidal rule do when the curve is CONCAVE DOWN? // In general, when a curve is concave down, trapezoi
From playlist Popular Questions
Trapezoidal Rule (2 of 4: Approximating a curve with a polygon)
More resources available at www.misterwootube.com
From playlist Integral Calculus
ME564 Lecture 16: Numerical integration and numerical solutions to ODEs
ME564 Lecture 16 Engineering Mathematics at the University of Washington Numerical integration and numerical solutions to ODEs Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L16.pdf Misc. Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L16_misc.pdf Matlab code: * ht
From playlist Engineering Mathematics (UW ME564 and ME565)
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
Integration Practice (2 of 7: Trapezoidal rule with exponential function)
More resources available at www.misterwootube.com
From playlist Integral Calculus
Rec 5 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Recitation 5 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
Lecture: Higher-order Integration Schemes
Higher-order numerical integration schemes are considered along the classic schemes of trapezoidal rule and Simpson’s rule.
From playlist Beginning Scientific Computing
7. Discrete Approximation of Continuous-Time Systems
MIT MIT 6.003 Signals and Systems, Fall 2011 View the complete course: http://ocw.mit.edu/6-003F11 Instructor: Dennis Freeman License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.003 Signals and Systems, Fall 2011
Numerical Integration: Discrete Riemann Integrals and Trapezoid Rule
In this video, I show how to approximate definite integrals to find the area under a curve using discrete numerical methods. In particular, I discuss approximations to the Riemann integral, including left and right rectangle rules, trapezoidal integration, and Simpson's rule based on spli
From playlist Engineering Math: Differential Equations and Dynamical Systems
13. ODE-IVP and Numerical Integration 1
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: William Green This lecture covered the topics on ordinary differential equation with initial value problem (ODE-IVP) and numerical integration. License
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Rec 6 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Recitation 6 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
What is the difference of a trapezoid and an isosceles trapezoid
👉 Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides
From playlist Properties of Trapezoids
Trapezoid Rule Error - Numerical Integration Approximation
This video explains how to use the error bounds formula to determine the error for a given value of n when using the Trapezoid Rule approximate a definite integral. Site:http://mathispower4u.com
From playlist Numerical Integration
CMPSC/Math 451. Feb 16, 2015. Error for Simpson's rule. Recursive rule. Extrapolation. Wen Shen
Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.
