A First Course in Differential Equations

  • J.┬áDavid Logan

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Pages 133-157
  3. Pages 159-207
  4. Pages 209-254
  5. Back Matter
    Pages 255-291

About this book

Introduction

This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics.

The topics include:

* separable and linear first-order equations;

* autonomous equations;

* second order linear homogeneous and nonhomogeneous equations;

* Laplace transforms;

* linear and nonlinear systems in the phase plane.

Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations.

Keywords

Applied Mathematics algebra calculus equation mathematics partial differential equation

Authors and affiliations

  • J.┬áDavid Logan
    • 1
  1. 1.Department of MathematicsUniversity of NebraskaLincolnUSA

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-29930-0
  • Copyright Information Springer New York 2006
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-25963-5
  • Online ISBN 978-0-387-29930-3
  • Series Print ISSN 0172-6056
  • About this book