**Description**

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.

##### Items related to the subject *Mathematics*