Lecture 4-7 | Interpolation Using Cubic Splines | Advanced Mathematical Methods for Engineers

Описание: Overview
In this module, you will learn how to fit functions to data and interpolate data. These skills are used whenever you want to determine model constants in model equations using measured data or interpolate values in between measured data points.

Learning Objectives
By the end of this module, you will be able to:

4.1 - Perform linear least squares regression on generated or given data sets using self-coded functions.
4.2 - Perform linear least squares regression for specific non-linear functions on generated or given data sets using self-coded functions.
4.3 - Perform curve fitting using polynomial functions on generated or given data sets using self-coded functions.
4.4 - Perform interpolation using polynomial functions and linear/quadratic/cubic splines on generated or given data sets using self-coded functions.

For this module, these are the lecture videos:

Lecture 4.1: Curve Fitting and Interpolation Overview
Lecture 4.2: Linear Least Squares Regression
Lecture 4.3: Curve Fitting Non-linear Functions Using Least Squares Regression
Lecture 4.4: Curve Fitting Using Polynomials
Lecture 4.5: Interpolation Using Polynomials
Lecture 4.6: Interpolation Using Splines (Linear and Quadratic)
Lecture 4.7: Interpolation Using Cubic Splines
Lecture 4.8: Cubic Spline Interpolation Code