Lecture Notes for MA 420/520

Spring 2014

These are the "lecture notes" I've managed to prepare in pdf form. Most of them will (probably) end up being first drafts of corresponding chapters in the DE Text I am writing (see Current Text for MA 238).

Chapters / Lecture Notes

Chapter/Lecture Notes	Published / Modified	Notes

A Brief Review of Elementary ODEs	1/1/2014
Link to Chapters 1 -- 29	1/1/2014

TABLE OF CONTENTS FOR CHAPTERS BELOW	3/26/2014	Updated Regularly

Part 5 - Power Series & Modified Power Series Solutions (cover page)
Chpt 30: A Review of Infinite Series	1/1/2014 1/15/2014	Minor changes on pg 8, typo in exer 8a fixed
Chpt 31: Power Series Solutions 1	1/1/2014 1/18/2014 1/27/2014	Typos fixed on pages 9 & 12 Another typo on page 12 fixed
Chpt 32: Power Series Solutions 2	1/1/2014 2/19/2014	Bad link fixed
Chpt 33: Frobenius Method 1	1/1/2014 1/24/2014 1/27/2014 2/5/2014	Typos fixed on pages 14 & 15 Typo fixed on page 17 Typos fixed on pgs 2 & 3, & exer. 2c
Chpt 34: Frobenius Method 2	1/1/2014
Chpt 35: Validating the Frobenius Method	1/1/2014

Part 6 - Systems of Differential Equations (cover page)
Chpt 36: Intro to DE Systems	2/11/2014 2/14/2014 3/21/2014	First example expanded. Misc. minor changes. Typo fixed in answer. to exer 5
Chpt 37: First Order Sys Basics	2/17/2014 2/25/2014 3/10/2014	Typo fix in exercise 12 Typo fix in answer to exer. 2d
Chpt 38: Homog Lin Systems	2/22/2014 3/21/2014	Typo fixed in answer to exer 2e i
Chpt 39: H Const Matrix Sys I	2/22/2014 3/4/2014 3/10/2014	Typo fix in eq at the top of page 9 Typo fix in answer to exer. 9g
Chpt 40: H Const Matrix Sys II	2/25/2014
Chpt 41: H Const Matrix Sys III	2/26/2014
Chpt 42: Nonhomog Lin Systems	3/2/2014	Not totally finished.
Chpt 43: Nonlinear Systems	3/17/2014 4/2/2014 4/11/2014	Exer 2e changed. Ans for Exer 2c,d,e corrected. Sign error in exer 43.7b corrected.
Chpt 44: Trajectory Equations		To be published
Chpt 45: Liapunov Theory		To be published

Part 7 - Boundary-Value Problems (cover page)
Chpt 46: Intro to BV Problems	3/26/2014
Chpt 47: Sturm-Liouville Theory	3/26/2014
Chpt 48: Applications	3/26/2014
Chpt 49: Choosing S-L Problems	3/26/2014

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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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