Lecture Notes for "Math Methods for Physicists"

    by Dr. Kenneth Howell

 

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Below are links to the most recent versions of my lectures.

 

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Some Comments and Warnings:

 

1)  Beware of typos and dumb mistakes in these notes!  Many have been written hastily and at odd hours, and have not been adequately proofread.  If you find what you believe to be an error in any of these notes, please let me know.  Send your corrections to  howell@math.uah.edu .

 

2)  Most computer labs on any campus have restrictions on the use of the lab's printer.  Please honor those restrictions.  They help ensure a more fair distribution of resources.  If possible, print these notes at home, on your own printer.  (Suggestion:  Get a ream of 3-hole punched paper at a place like Staples or Office Depot, along with a three-ring binder.)

 

 

 

 

Chapters / Lecture Notes

Chapter/Lecture Notes Published /

Modified

Notes

  TABLE OF CONTENTS

Spring 2014  
     

Chpt 1 - Intro

Fall 2013  

Linear Algebra

Chpt 2 - Traditional Vectors

Fall 2013
 

Chpt 3 - General Vector Thry

Fall 2013  

Chpt 4 - Elementary Matrix Thry

Fall 2013  

Chpt 5 - Change of Basis

Fall 2013  

Chpt 6 - Elementary Linear Trans Thry

Fall 2013  

Chpt 7 - Eigenvector & Herm Ops

Fall 2013  

  Multi-Dimensional Calculus/Field Theory/Tensor Analysis

Chpt 8 - MD Calc Basics

Fall 2013  

Chpt 9 - MD Calc: Diff Thry

Fall 2013  

Chpt 10 - MD Calc: Integration

Fall 2013  

Chpt 11 - Tensors

Fall 2013  

  Infinite Series and the Frobenius Method

Chpt 12 - Infinite Series

Spring 2014  

Chpt 13 - The Method of Frobenius

Spring 2014  
  Complex Variables

Chpt 14 - Basic Calculus

Spring 2014  

Chpt 15 - Cauchy Thry

Spring 2014  

Chpt 16 - Laurent Series & Sing

Spring 2014  

Chpt 17 - Residue Thry

Spring 2014  
     
  Partial DIfferential Equations

Chpt 18 - PDE I

Spring 2014  

Chpt 19 - Sturm-Liouville

Spring 2014  

Chpt 20 - PDE II

Spring 2014  

Chpt 21 - Special Functions

Spring 2014  

Chpt 22 - Nonhomog. PDEs

Spring 2014   Very incomplete! 
     
     

  Appendices

A Brief Review of Differential Equations

Fall 2013  
     

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LEGAL STUFF:

Required Official Disclaimer: "The views, opinions, and conclusions expressed in this page are those of the author or organization and not necessarily those of The University of Alabama in Huntsville or its officers and trustees. The content of this page has not been reviewed or approved by UAHuntsville and the author or organization is solely responsible for its content."

 

Copyright Notice:  The material at this site and all the material linked to from this site is protected under the copyright laws of the United States of America (see www.copyright.gov for more information on these laws).  The author grants the viewers of this site the permission to download and use this material for their personal study, but does not grant permission for any other use of this material.

 

Who to Contact If There Is a Reason to Contact the Guy Maintaining This Site:  Prof. Kenneth Howell, howell@math.uah.edu 

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