Introductory Ordinary Differential Equations: Including Ten Fully Solved Practice Examinations

Introductory Ordinary Differential Equations: Including Ten Fully Solved Practice Examinations, 1/e

Peter Schiavone, University of Alberta, Canada

Published March, 1998 by Prentice Hall PTR (ECS Professional)

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Calculus-Mathematics

Summary

A recommended workbook for students preparing for examinations in a second-year course at colleges or universities. This book is divided into three parts. The first part reviews the main theories and techniques or ordinary differential equations. The second part includes 5 midterm and 5 final practice examinations with solutions. The third part consists of an Appendix of useful prerequisite techniques from calculus.

Features

Provides a quick and easy reference section to complement exam solutions.
Provides fully worked-out solutions to each examination.
Contains five practice midterm examinations and five practice final examinations.
Reduces exam-anxiety by providing students with the opportunity for a “dress-rehearsal.”
Solutions get to the heart of the matter quickly, allowing the student to learn the material more efficiently.

Table of Contents
PART I. INTRODUCTION/MOTIVATION.

Terminology/Notation/Basic Concepts.
Review of Solution Methods for First-Order Ordinary Differential Equations.
Separable equations.
Homogenous Equations.
Exact Equations.
Linear, First-Order Equations.
Integrating Factors.
Review of Solution Methods for Higher-Order Ordinary Differential Equations.
Linear Differential Equations—Theory.
Linear Differential Equations—Constant Coefficients.
Euler's Equation.
Method of Undetermined Coefficients.
Variation of Parameters/Reduction of Order.
Laplace Transformations.
Matrix Methods.
Series Solutions.

PART II.

PART III.

Appendix of Useful Prerequisite Techniques.