Learning Objectives

At the end of this class you should be able to

• Verify whether a given formula is the analytical solution to a first order ODE with a prescribed initial condition
• Algebraically rearrange a first order ODE into a format that can be used by odeEuler or other MATLAB codes for solving ODEs
• Use the odeEuler code to solve a first order ODE numerically.
• Describe how the error in the numerical solution with Euler's method varies with stepsize, $h$

Lecture Videos on YouTube

These videos cover the material that I present in class.

• Introduction to numerical solution of ODEs
• Euler's method
• MATLAB implementation of Euler's method

The screencasts were recorded last fall. The sound level during recording was too low, and I haven't been able to figure out how to fix that without re-recording the screencasts.

Download

Here are the slides for the first two videos

• Introduction to numerical solution of ODEs slides
• Euler's method slides