Partial Differential Equations Notes

                           

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Introduction to Partial Differential Equations
2014-2021

by Dr. R. L. Herman

See the different version of these notes for Spring PDE 2021 based on the order from the one semester version in the Fall PDE 2020 notes. _________________________________________________________________

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 old 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)

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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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