The University of Iowa
The College of Liberal Arts and Sciences
Department of Mathematics
ELEMENTARY NUMERICAL ANALYSISMATH:3800, Section 0004
Crosslisted number: CS:3700, Section 0004
FALL 2021
11:30AM12:20PM MWF, 218 MLH
READINGS FROM THE CLASS NOTES/COURSE PACK
 Preface
 Chapter 1  Computer representation of numbers
 Chapter 2  Sources and analysis of errors
 Chapter 3  Polynomials in one variable
 Chapter 4  Linear interpolation in one variable
 Chapter 5  Numerical integration in one variable
 Chapter 6  Solution of systems of linear equations by direct methods
 Chapter 7  Solution of systems of linear equations by iterative methods
 Chapter 8  Nonlinear equations in one variable
 Chapter 9  Optimization in one variable
 Chapter 10  Scalar ordinary differential equations
OPTIONAL READINGS FROM THE TEXTBOOK (LAMBERS/MOONEY/MONTIFORTE)
GENERAL INFORMATION
 This is NOT a course on learning MATLAB or PYTHON!
This is a mathematically oriented course on the mathematics of numerical methods
(that may be used by MATLAB). If you are looking for a course to learn MATLAB
or PYTHON then you should take for example the course
ME:4111/CEE:4511 Scientific Computing & Machine Learning,
it used to be called Numerical Calculations.
You must master techniques used in Calculus to follow the course.
If you cannot easily differentiate or find the maximum of a function by hand then you should
really not register for the course. MATLAB programming is kept to a minimum.
It is not expected that you know MATLAB, a short introduction to using computers
and the use of MATLAB will be offered.
A good place to start and to
learn MATLAB interactively at your own pace is the
MATLAB Academy.
I recommend that you learn the basics of MATLAB or PYTHON yourself as soon as possible.
Homeworks have some MATLAB or PYTHON programming, but all the examinations
are uniquely based on mathematics, there will be no MATLAB or PYTHION programming question in the exams.
 Syllabus.
 ICON.
 Course pack (required): My class notes are available as a course pack
at the IMU bookstore for $14.75.
 Textbook:
Explorations in Numerical Analysis Python Edition by
James V. Lambers, Amber Sumner Mooney, and Vivian A. Montiforte,
World Scientific Publishing Company, Singapore, 2021, 674 pages,
ISBN10: 9811227934, ISBN13: 9789811227936,
list price: $68.00 (Paperback).
The book on amazon.com and on
bookfinder.com.
 Many Numerical Analysis Textbooks on textbooks.com

An online resource on numerical methods
which can be useful to engineers.
 A lot of useful
information
(especially the lectures section) and some
GUIs
from
Ken Atkinson.
 CLAS Linux Support
and their Linux Services.
 Mathtools.net: a technical
computing portal for scientific and engineering needs.

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

An Overview
of Numerical Analysis (pdf) as discussed by Kendall Atkinson.

Some disasters caused by numerical errors.
SOME FREE ELECTRONIC TEXTBOOKS

An Introduction to Programming and Numerical Methods in MATLAB
by S.R. Otto and J.P. Denier, Springer, 2005.
ISBN10: 1852339195, ISBN13: 9781852339197, list price: $44.95.
The book on amazon.com.
Electronic version.

Numerical Mathematics
by A. Quarteroni, R. Sacco, & F. Saleri,
Springer, Texts in applied mathematics, New York, 37.
ISBN10: 3642071015, ISBN13: 9783642071010, list price: $89.95. Library reference: MATH QA297 .Q836 2000.
The book on amazon.com.
Electronic version.

Scientific Computing with MATLAB and Octave
by A. Quarteroni, F. Saleri, & Paola Gervasio,
Springer, Texts in Computational Science and Engineering, New York, 2, 4th edition, 2014.
ISBN10: 3642124291, ISBN13: 9783642124297, list price: $69.95.
The book on amazon.com.
Electronic version (3rd edition, 2010),
Electronic version (4th edition, 2014).
 Numerical Computing with MATLAB by
Cleve Moler,
himself!, the founder of MATLAB, SIAM, Philadelphia, 2nd edition, 2008, (Engineering Library QA297 .M625 2004).
The book on amazon.com.
Free electronic textbook.

Principles of scientific computing, a free electronic book by David Bindel and Jonathan Goodman.

Holistic Numerical Methods Transforming Numerical Methods Education for the STEM Undergraduate

Essential MATLAB for engineers and scientists
by Brian D. Hahn, Academic Press, Waltham, MA, 2013.

MATLAB Programming for Numerical Analysis
by Cesar Perez Lopez, Apress, Berkeley, CA, 2014.
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.
 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 https://clas.uiowa.edu/linux/help/fastx
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
GRADER

Mingxiu Sui,
office: B20J MLH, mailbox is in 15 MLH (MacLean Hall),
email: mingxiusui@uiowa.edu.
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