The University of Iowa
The College of Liberal Arts and Sciences
Department of Mathematics
NUMERICAL ANALYSIS: DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRAMATH:5810, Section 0AAA
Crosslisted number: CS:5720, Section 0AAA
SPRING 2021
9:3010:20 AM MWF, 221 MLH (and discussion 9:3010:20 AM T via Zoom)
GENERAL INFORMATION
This is an in person course, it will not be broadcast on Zoom.
FURTHER READING FOR YOUR OWN INTEREST

Many Numerical Analysis Textbooks on textbooks.com

Numerical Methods in Matrix Computations,
by Ake Bjorck.
Publisher: Springer; Softcover reprint of the original 1st ed. 2015 Edition,
Series: Texts in Applied Mathematics, Vol. 59,
The
book on amazon.com.

Matrix Computations,
by Gene H. Golub and Charles F. Van Loan.
Publisher: Johns Hopkins University Press,
Series: Johns Hopkins Studies in the Mathematical Sciences,
The
book on amazon.com.

A First Course in the Numerical Analysis of Differential Equations,
by Arieh Iserles.
Publisher: Cambridge University Press, 2nd edition (December 29, 2008),
Series: Cambridge Texts in Applied Mathematics (Book 44),
The
book on amazon.com.

Fundamentals of Matrix Computations, 3rd Edition
by David S. Watkins,
Wiley (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts).
Library reference: Engineering Library QA188 .W38 2010.
 An introduction to numerical analysis
by K. Atkinson, second edition, John Wiley & Sons, New York, 1989,
(MATH QA297 .A84 1989).

Introduction to numerical analysis
by J. Stoer & R. Bulirsch, 3rd edition, Springer, Texts in Applied Mathematics,
Vol. 12, New York, 2002, (MATH QA297 .S8213 2002).

Numerical Mathematics by A. Quarteroni, R. Sacco, & F. Saleri,
Springer, Texts in applied mathematics, New York, 37.
(MATH Course Reserve QA297 .Q836 2000).

Numerical Analysis: A Mathematical Introduction
by Michelle Schatzman.
Publisher: Oxford University Press, USA (December 26, 2002),
516 pages,
Library reference: Main Math Collection QA297 .S36713 2002.
 Numerical Methods in Scientific Computing: Volume 1 by
Germund Dahlquist and Ake Bjorck,
Publisher: Society for
Industrial Mathematics (SIAM), Textbook in Numerical Analysis,
2008, xxviii + 717 pages, Hardcover, ISBN10: 0898716446,
ISBN13 9780898716443.
Library reference: Engineering Library QA297 .D335 2008.

Numerical computation 1. Methods, Software, and Analysis and
Numerical computation 2. Methods, Software, and Analysis
by C. W. Ueberhuber, SpringerVerlag, Berlin, 1047.
 Accuracy and stability of numerical algorithms by
N.J. Higham, SIAM, Philadelphia, 1046
(MATH QA297 .H53 1046).
 Numerical Linear Algebra by
Lloyd N. Trefethen and David Bau III,
SIAM, Philadelphia, (Main Math Collection QA184 .T74 1997).
This book on amazon.com.
 Applied Numerical Linear Algebra by
James W. Demmel, SIAM, Philadelphia, (Main Math Collection QA184 .D455 1997).
This book on amazon.com.
 Free electronic book on
Iterative Methods for Linear and Nonlinear Equations
by Tim Kelley.
If the link does not work, go to
Download Books from SIAM.
Becoming a SIAM member is free for students!.

Numerical Linear Algebra by Gregoire Allaire and Sidi Mahmoud Kaber,
Springer, Texts in applied mathematics, New York, 55, ISBN: 0387341590.
Library reference: Engineering Library QA185.D37 A44 2008.
 HNW I:
Solving ordinary differential equations I. Nonstiff problems
by E. Hairer, S. P. Norsett, and Gerhard Wanner, Springer, Berlin,
Springer Series in Computational Mathematics, vol. 8,
Second Revised Edition, 1993, 528 pages, ISBN: 9783540566700.
Table of contents. Library reference: MATH QA372 .H16 1993 v.1.
 HW II:
Solving ordinary differential equations II.
Stiff and differentialalgebraic problems
by E. Hairer and G. Wanner, Springer, Berlin,
Springer Series in Computational Mathematics, vol. 14,
Second Revised Edition, 1996, 614 pages, ISBN: 9783540604525.
Table of contents. Library reference: MATH QA372 .H16 1993 v.2.

Geometric numerical integration: structurepreserving algorithms
for ordinary differential equations
by E. Hairer, Ch. Lubich, and G. Wanner, Springer, Berlin,
Springer Series in Computational Mathematics, vol. 31,
Second Revised Edition, 2006, 644 pages, ISBN: 9783540306634.
Library reference: MATH QA299.3 .H35 2006.

A definition of numerical analysis (pdf) as discussed by L. N. Trefethen.

Some disasters caused by numerical errors.
 A lot of useful
information on
the course, especially the lectures section and
an overview of numerical analysis
(pdf),
from Ken Atkinson.
Some
GUIs
and other updated material
written by Ken.
MATLAB
 MATLAB Academy,
learn MATLAB interactively at your own pace.
 MATLAB Help is available directly from the Help menu of the MATLAB window.

MATLAB Tutorials and Learning Resources from MathWorks,
Classroom Resources,
MATLAB & Simulink Tutorials,
Students and Educators Resources,
all presented by Mathworks, Inc., producers of MATLAB.
 MATLAB Primer (pdf)

Introduction to Engineering Programming: in C, MATLAB and JAVA
by Mark A. Austin.

A very good book on MATLAB:
MATLAB programming with applications for engineers by Stephen J. Chapman,
Cengage Learning, Stamford, CT, 1st edition, 2012,
ISBN10: 0495668079, ISBN13: 9780495668077, 592 pages.
Engineering Library QA76.73.M37 C52 2013.
The
book on amazon.com.
On
bookfinder.com.
 An excellent book on MATLAB:
Numerical Methods for Engineers and Scientists, 3rd Edition
by Amos Gilat and Vish Subramanian, 576 pages, Hardcover, Wiley, October 2013,
ISBN13: 9781118554937 (Hardcover, list price: $204.95, bookstore price $212.00 (new))
or
ISBN13: 9781118803011 (Wiley EText, list price: $64.00).
The Student Companion Site of that book.
The book on amazon.com.

MATLAB Guide, 2nd edition by Desmond J. Higham and Nicholas J. Higham,
SIAM, Philadelphia, 2005 (ENGINEERING QA297 .H5217 2005)
 MATLAB for first order ODEs
 MATLAB for higher order ODEs and systems of ODEs
 Free electronic textbook Numerical Computing with MATLAB
by Cleve Moler
himself!, the founder of MATLAB, SIAM, Philadelphia, 2nd edition, 2008, (Engineering Library QA297 .M625 2004).
LINUX COMPUTER ACCOUNTS
REMOTE ACCESS TO MATLAB AND TO YOUR LINUX COMPUTER ACCOUNT
 If you connect from home first you may need to download and install the Cisco AnyConnect Virtual Private Network
and establish a VPN connection for each session:
follow the instructions here.
 To access your Linux computer account remotely,
you can use FastX, a graphical Linux virtual desktop environment
remotely accessible in your web browser:
 Login with your Hawkid username/password
 Click "Start a new session" (make sure your popup blocker doesn't block)
 Click "Bookmarks"
 Click "starxfce4 or startkde" depending on which desktop you want to
 Click "Start"
More details can be found
here.
You can make your browser window larger and then click in the lower left
hand corner, the box of nine dots that make a square, then click on the
arrow head with arrows on both ends to "maximize" the Linux desktop.
 https://virtualdesktop.uiowa.edu, a Windows virtual desktop
where you can access MATLAB in a Windows environment with your web browser (does not seem to work if your machine is a Linux machine).
FORTRAN
TEACHING ASSISTANT
 Violet Tiema,
email: violettiema@uiowa.edu. Office: 325N MLH. Phone: 335????.
Office hours: ???day ??:??.
Computer Lab (B5 MLH) hours: Thursday: 9:00 AM.
CURRENT LIST OF STUDENTS
 Parker Evans
 Mackenzie Finnegan (auditing)
 Fatou Kineh Ndow
 Natalie Randall
 Jessa Rhea
 Joey Small
 Casey Stone
 Kerry Tarrant
 Yilin Zhu
Laurent O. Jay
Department of Mathematics
14 MacLean Hall
The University of Iowa
Iowa City, IA 522421419
USA
Tel: (319)3350898
Email: laurentjay@uiowa.edu