Partial Differential Equations Notes

                           

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Introduction to Partial Differential Equations
2014-2015

by Dr. R. L. Herman

These are notes for an introductory two-semester course in partial differential equations (MAT 518-519). Chapters 10-11 are incomplete. Any significant changes will be noted below.

The current version: PDE_Main.pdf  (Last updated 1/11/15)

Table of Contents

Ch Topic Pgs Last Revision Comments
  Title/Contents iii-vii 01/11/15  

 

Introduction ix-xi 08/17/14  
 

MAT 518 Notes

     
1 First Order Differential Equations 1-32 09/03/14 Minor edits
2 Second Order Differential Equations 33-70 09/23/14 edited
3 Fourier Series 71-106 09/23/14 edited
4 Sturm-Liouville Problems 107-126 08/17/14  
5 Special Functions 127-158 08/17/14  
6 Higher Dimensions 159-224 12/22/14 Added sections
 

MAT 519 Notes

     
7 Green's Functions 225-284 12/26/14 edited, Extra Problems Ch 7-9
8 Complex Analysis 285-356 01/11/15 Sections Added
9 Transforms 357-430 08/17/14  
10 Numerical Solutions 431-454 01/04/15 Incomplete
Project
11 Nonlinear PDEs - Modern Methods NA NA NA
A Calculus Review 455-496 08/17/14  
B ODE Review 497-522 08/17/14  
  Index 523-529 01/11/15  

MAT 518 Chapters: PDE1.pdf (old 2014 version)

 Creative Commons License
Introduction to Partial Differential Equations by Russell Herman is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.

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