Mixture Example with all the steps worked out. given out 9/15/08
In class Mixture Example problem statement. given out 9/17/08
In class Accelleration-Velocity example. given out 9/22/08
In class group activity problems (given out 9/15/08):
Worksheets for the 3 numerical methods in chapter 2. Use these to help with by-hand calculations.
Calculator programs for the numerical methods.
Euler Method Example 1. given out 9/24/08
Euler Method Example 2. given out 9/24/08
Improved Euler Method Example 1. given out 9/29/08
Improved Euler Method Example 2. given out 9/29/08
The Taylor Method is not in your textbook.
Taylor Method 2nd Order Example. given out 10/6/08
Taylor Method 3rd Order Example. given out 10/6/08
Taylor Method 4th Order Example. given out 10/6/08
The various methods each have their own advantages. Some are quicker to compute than others. Some have a higher accuracy with fewer steps. See a comparision of the methods to help you determine which one you prefer.
The following is the solution for Test 1 problem number 9 (the oven question)
The following is the solution for Test 2 problem number 11 (the non-homogeneous question)
When your characteristic equation has complex roots (ie: you get imaginary lambdas), there are several ways to solve for y.
How to transform a differential equation of order 2 or more into a system of first order differential equations. given out 11/5/08.
An example on how to solve a 2-dim system of 1st order differential equations. given out 11/5/08
The detailed way to get the LaPlace transform of t^a where a is any real number greater than -1. This handout also includes information on the Gamma Function, which is basically a fancy name for n!. given out 11/17/08.