The University of Iowa
The College of Liberal Arts and Sciences
Department of Mathematics
ELEMENTARY NUMERICAL ANALYSIS-MATH:3800, Section 0003
Cross-listed number: CS:3700, Section 0003
FALL 2019
10:30AM-11:20AM MWF, 210 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 (SUTTON)
- Chapter 5
- Chapter 1
- Chapter 6: sections 1-5
- Chapter 20 (and Chapter 19)
- Chapter 21
- Chapter 31
GENERAL INFORMATION
- This is NOT a course on learning MATLAB!
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
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 yourself as soon as possible.
Homeworks have some MATLAB programming, but all the examinations
are uniquely based on mathematics, there will be no MATLAB programming question in the exams.
- Syllabus.
- ICON.
- Course pack (required): My class notes are available as a course pack
at the IMU bookstore for $13.05.
- Textbook:
Numerical Analysis: Theory and Experiments by Brian Sutton,
SIAM-Society for Industrial & Applied Mathematics, 2019,
431 pages, ISBN-10: 1611975697, ISBN-13: 978-1611975697,
list price: $94.00 (Paperback). Note that
there is a 20% student discount pricing
that can be used only when students
order their textbook directly through SIAM,
the discount is not available at the bookstores. Here's how to receive the discount:
Go to: https://my.siam.org/Store/Product/viewproduct/?ProductId=30646298;
At Checkout, enter the coupon code: ******
(the coupon code will be given in the Course Home in ICON
under Announcements, it will also be given in class).
The book on amazon.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.
ISBN-10: 1852339195, ISBN-13: 978-1852339197, 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.
ISBN-10: 3642071015, ISBN-13: 978-3642071010, 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.
ISBN-10: 3642124291, ISBN-13: 978-3642124297, 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,
ISBN-10: 0495668079, ISBN-13: 978-0495668077, 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,
ISBN-13: 978-1-118-55493-7 (Hardcover, list price: $204.95, bookstore price $212.00 (new))
or
ISBN-13: 978-1-118-80301-1 (Wiley E-Text, 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 pop-up 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
GRADER
-
Quanqi Hu,
office: 255 MH, mailbox is in 15 MLH (MacLean Hall),
e-mail: quanqi-hu@uiowa.edu.
Laurent O. Jay
Department of Mathematics
14 MacLean Hall
The University of Iowa
Iowa City, IA 52242-1419
USA
Tel: (319)-335-0898
E-mail: laurent-jay@uiowa.edu