Created with R2020b. Compatible with R2020b and later releases.
This curriculum module contains interactive MATLAB® live scripts that teach two fundamental techniques for approximating definite integrals: the trapezoid and Simpson’s rules. These rules are derived from Lagrange interpolating polynomials and explored through interactive visualizations.
You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. This module covers the derivation and implementation of the trapezoid rule and the 1/3 and 3/8 Simpson's rules.
The instructions inside the live scripts will guide you through the exercises and activities. Get started with each live script by running it one section at a time. To stop running the script or a section midway (for example, when an animation is in progress), use the Stop button in the RUN section of the Live Editor tab in the MATLAB Toolstrip.
Solutions are available upon instructor request. Contact the MathWorks teaching resources team if you would like to request solutions, provide feedback, or if you have a question.
This module assumes knowledge of MATLAB Onramp – a free two-hour introductory tutorial that teaches the essentials of MATLAB.
Accessing the Module
On MATLAB Online:
Use the link to download the module. You will be prompted to log in or create a MathWorks account. The project will be loaded, and you will see an app with several navigation options to get you started.
Download or clone this repository. Open MATLAB, navigate to the folder containing these scripts and double-click on NumericalIntegration.prj. It will add the appropriate files to your MATLAB path and open an app that asks you where you would like to start.
Ensure you have all the required products (listed below) installed. If you need to include a product, add it using the Add-On Explorer. To install an add-on, go to the Home tab and select Add-Ons > Get Add-Ons.
MATLAB® is used throughout.
The license for this module is available in the LICENSE.md.
Related Courseware Modules
Numerical Methods with Applications
Or feel free to explore our other modular courseware content.
Looking for more? Find an issue? Have a suggestion? Please contact the MathWorks teaching resources team. If you want to contribute directly to this project, you can find information about how to do so in the CONTRIBUTING.md page on GitHub.
© Copyright 2023 The MathWorks™, Inc
Emma Smith Zbarsky (2024). Numerical Integration (https://github.com/MathWorks-Teaching-Resources/Numerical-Integration/releases/tag/v1.1.0), GitHub. Retrieved .
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Platform CompatibilityWindows macOS Linux
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See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Numerical-Integration/releases/tag/v1.1.0
See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Numerical-Integration/releases/tag/v1.0.2