Notes on Diffy Qs: Differential Equations for Engineers

(1 review)

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Jirí Lebl, Oklahoma State University

Pub Date: 2014

ISBN 13: 978-1-5056981-9-0

Publisher: Independent

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Reviewed by Carlos Montalto Cruz, Postdoctoral Researcher, University of Washington, on 8/22/2016.

The book covers many of the material that is usually covered on an undergraduate engineering course on Differential Equations. It also was an … read more

 

Table of Contents

  1. First order ODEs
  2. Higher order linear ODEs
  3. Systems of ODEs 
  4. Fourier series and PDEs
  5. Eigenvalue problems
  6. The Laplace transform
  7. Power series methods
  8. Nonlinear systems 

About the Book

A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence. This free online book (e-book in webspeak) should be usable as a stand-alone textbook or as a companion to a course using another book such as Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Modeling or Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (section correspondence to these two is given). I developed and used these notes to teach Math 286/285 at the University of Illinois at Urbana-Champaign Sample Dirichlet problem solution (one is a 4-day-a-week, the other a 3-day-a-week semester-long course). I have also taught Math 20D at University of California, San Diego with these notes (a 3-day-a-week quarter-long course). There is enough material to run a 2-quarter course, and even perhaps a two semester course depending on lecturer speed.

About the Contributors

Author(s)

Jirí Lebl, Mathematician at OSU, wearer of hats and colored socks (odd pairs only). Degrees: PhD from UCSD (2007), BA and MA are from SDSU (2001, 2003). Spent 2007-2010 as a postdoc at UIUC, the 2010-2011 year visiting UCSD, and 2011-2013 postdocing again at UW-Madison.