# Mathematics 256 - Fall 1997

# Differential equations for engineers

Section 101: Dr. Casselman, Math Annex 1100, 8:30 MWF

Section 102: Dr. Ward, Math Annex 1100, 1:30 MWF
Dr. Casselman and Dr. Feldman and
are just now beginning to prepare
the text and lab notes for the fall term.
In the meantime, you might take a look at
last year's material.
There will be a small number of substantial changes from last year,
but the general outline will be the same.

Some may find the textbook
by Boyce & DiPrima useful, although
last year nobody used it.

The laboratories will be based on software
written by us in Java (which is, for
these purposes, not so different from C).
They will likely involve
writing short pieces of code, as well as using tools
developed by us to handle standard numerical routines.

The fall sections of this course are
intended exclusively for electrical
engineering students.
Mechanical engineering students are intended to take the
course
in the spring.

Roughly speaking, this course differs from other
differential equations courses
in that (1) we introduce more physical
examples;
(2) the laboratories
allow us to deal with more interesting stuff;
(3) it covers about 60% of the material in Math 255 and Math 257,
but in a single term.

## Course notes

Preface
Introduction

### Part I: First order equations

**Chapter 1.** Newton's law of cooling

**Chapter 2.** Complex numbers

**Chapter 3.** Periodic functions and flickering lights

**Chapter 4.** Euler's method
for numerical approximation of solutions

**Chapter 5.** Efficient numerical methods

## Homework assignments

First homework
First homework solutions

Second homework

Second homework solutions

Third homework

## Course applets

A falling object
Simple periodic functions

Cooling

Cooling with square wave variation

Cooling with linear increase

Euler's method: *y' = y*

Euler's method: Torricelli

Euler's method: text example *y' = y - t*

Weight on a spring