Math 46: Resources
 SPRING 2011
Theory
 Your main resource will be practising solving as many problems
as you can. This includes the old practise exams which are on the
Schedule page.
 ERRATA for our textbook,
Logan's Applied Mathematics, 3rd Edition (2006).
 At the library:
 J. David Logan, Applied Partial Differential Equations (2004).
This nice book
goes into more detail than chapter 6 of our book, at a slightly more leisurely
pace. I nearly chose this book as our text, but preferred a more
broad coverage of applied math.
 F. B. Hildebrand, Methods of Applied Mathematics, 2nd edition
(1965). Although oldlooking, Chapter 3 on integral equations is a very clear
coverage of the same material we'll do from Logan.
 Bender & Orszag, ``Advanced Mathematical Methods for
Scientists and Engineers'' (1999). This is the bible on asymptotics
and boundary layers, and is graduatelevel.
 Daw's nice 13page lecture notes on dimensional analysis.

Course with lecture notes, homeworks, using our textbook,
at U. Alberta, Canada.
Another course using our book (2nd Ed.) at Montana, with HW and exams.
 Linear methods in
applied mathematics by Harrell and Herod, from Georgia Tech,
covers most of our course,
esp. Ch.4 and 6, including much more material.
 Linear PDEs course from MIT, with lecture notes and HW.
Math 4348
course with lecture notes on integral equations, PDEs and Greens functions,
from Georgia Tech.
 Principles of Applied Mathematics course at MIT,
just HW and exams.
Also Introduction to Modeling and Simulation,
has lecture notes and HW.
 General notes on exam and study
technique (geared mainly towards final exams in intermediatelevel math courses).
Tools

Java applet versions of
dfield and pplane
that let you numerically explore 1variable and 2variable ODEs.
 my Matlab demo of 2ndorder singularlyperturbed 2point BVPs,
showing boundary layer behavior:
bdrylayerdemo.m
 Matlab demo of relative accuracy of WKB approximations to
eigenvalues converging as O(1/n^{2}):
wkb_acc.m
and shooting.m
(it would be probably better to recode this using bvp4c
; somebudy have a try...)
 MAPLE tutorials;
MAPLE is useful for symbolic calculation and is free to use on campus,
download here.