Notes on Diffy Qs

Format:

Book

Author/Creator:

Lebl, Jiří, author.

Language:

English

Subjects (All):

Mathematics--Textbooks.

Mathematics.

Engineering--Textbooks.

Engineering.

Physical Description:

1 online resource

Place of Publication:

Stillwater, Oklahoma Jirí Lebl 2020.

Language Note:

In English.

Summary:

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.

Contents:

1. First order equations

2. Higher order linear ODEs

3. Systems of ODEs

4. Fourier series and PDEs

5. More on eigenvalue problems

6. The Laplace transform

7. Power series methods

8. Nonlinear systems

A. Linear algebra

Notes:

CC BY-SA

Description based on print resource

OCLC:

944283098