18.03SC | Fall 2011 | Undergraduate
Differential Equations
Unit I: First Order Differential Equations

Numerical Methods

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Session Overview

Many differential equations cannot be solved exactly. For these DE’s we can use numerical methods to get approximate solutions. In the previous session the computer used numerical methods to draw the integral curves.

We will start with Euler’s method. This is the simplest numerical method, akin to approximating integrals using rectangles, but it contains the basic idea common to all the numerical methods we will look at. We will also discuss more sophisticated methods that give better approximations.

Session Activities

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Complete the practice problem:

Session Activities

Learn from the Mathlet materials:

Read the course notes:

Watch the lecture video clip:

Read the course notes:

Watch the lecture video clip:

Watch the problem solving video:

Complete the practice problems:

Check Yourself

Take the quiz:

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Course Info
Learning Resource Types
theaters Lecture Videos
theaters Recitation Videos
grading Exams with Solutions
laptop_windows Simulations
notes Lecture Notes
assignment_turned_in Problem Sets with Solutions