This project consists of a Matlab worksheet that is broken into four parts. The goal of the worksheet is to explain and guide the reader through fitting data to multivariable functions and finding multivariable Taylor approximations. The worksheets include detailed explanations and built in exercises that have the reader implement concepts learned. Each exercise has accompanying assert statements so the reader can check their work as they go!
- Part 1 is a review of single variable Taylor polynomials.
- Part 2 is a review of data fitting with polynomials.
- Part 3 is an explanation of multivariable data fitting with polynomials.
- Part 4 is an explanation of multivariable Taylor approximations at 1st and 2nd degrees.
- Partial Derivatives
- Gradient
- Vector/Matrix Operations
The four parts of the worksheet can be downloaded here. Alternatively you can visit the GitHub repo where the files are hosted.
Once installed, the files can be run in Matlab*. It is recommended to run the files before viewing to ensure all the plots show up.
*NOTE some files may not initially run due to the sections that require the user to implement code. These files can be run section by section if necessary.