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Notes on Diffy Qs: Differential Equations for Engineers

(4 reviews)

Jirí Lebl, Oklahoma State University

Pub Date: 2014

ISBN 13: 9781505698190

Publisher: Independent

Language: English

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Reviews

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Reviewed by Alim Sukhtayev, Assistant Professor, Miami University on 8/3/18

The book covers all the material one might want in an introductory Differential Equations course aimed at engineering students. The book provides plenty of examples and well-constructed exercise sets. Overall, the textbook is well-organized and... read more

 

Reviewed by Uttam Chakravarty, Assistant Professor, University of New Orleans on 6/20/18

The text is written in a comprehensive way although it is an extension of the class notes. It covers required topics as the first of differential equations for engineering students. This is a useful book, but many concepts are not explained in... read more

 

Reviewed by Andrew Zimmer, Assistant Professor, William and Mary on 2/2/18

The text is not a reference book, but an introduction to differential equations. It contains the topics commonly covered in a standard sophomore level undergraduate course. The index appears to be effective. Further, at the start of each section... read more

 

Reviewed by Carlos Montalto Cruz, Postdoctoral Researcher, University of Washington on 8/22/16

The book covers many of the material that is usually covered on an undergraduate engineering course on Differential Equations. It also was an extensive index. However, the book does not cover some important topics (e.g., more applications of the... 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

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.