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Introduction to Numerical Methods for Engineers

1. Taylor Approximation
- Taylor Series
2. Root Finding
- 2.1 Bisection Method
- 2.2 Newton’s Method
3. Derivatives
- 3.1 Introduction to Derivatives of a function with multiple variables
- 3.2 Computing Derivatives of Functions
4. Linear Equations
5. Root Finding with Multiple Variables
- 5.1 Defining the Root Finding Prblem with Multiple Variables
- 5.2 Newton Method with multiple variables
6. Least Squares
- 6.1 Linear Least Squares Tasks
7. Introduction to Neural Networks
- 7.1 Predicting currents in the Openmanipulator joints with a neural network
8. Ordinary Differential Equations (ODEs)
9. Singular Value Decomposition (SVD)
- 9.1 Quick Overview of the Definition of SVD
- 9.2 Introduction to Principal Component Analysis (PCA)

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2. Root Finding

2. Root Finding#

In this exercise we will look at how to numerically find roots of functions. We will cover the following topics:

Bisection Method
Newton’s Method

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Taylor Series

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2.1 Bisection Method

By Damian Boborzi

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