FINAL EXAMINATION

The final examination will be held on Wednesday, May 9, 2018, 12:30 PM-2:30 PM in room 213 MLH. Comprehensive exam on the whole semester class. The final examination is open books and open notes. There will be NO question related to programming in MATLAB. Smartphones/computers/laptops are not allowed. Bring a simple scientific calculator, graphing calculators are fine.

Remark: There will be at least one question from chapter 9 on optimization, for example applying one step of a method from section 9.1 or one step of the golden section method from section 9.2. Taylor series methods from section 10.2 are part of the final exam. However, Runge-Kutta methods and material from sections 10.3, 10.4, and 10.5 will not be part of the exam.

READINGS FROM THE CLASS NOTES/COURSE PACK

• Preface
• Chapter 1 - Computer representation of numbers
• Chapter 2 - Sources and analysis of errors
• Chapter 3 - Polynomials (skip section 3.2)
• Chapter 4 - Univariate linear interpolation
• Chapter 5 - Univariate numerical integration
• Chapter 6 - Solution of systems of linear equations by direct methods
• Chapter 7 - Solution of systems of linear equations by iterative methods
• Chapter 8 - Univariate nonlinear equations
• Chapter 9 - Univariate optimization
• Chapter 10 - Scalar ordinary differential equations

OPTIONAL READINGS FROM THE TEXTBOOK

• Section 1.2 (round-off errors and computer arithmetic)
• Section 1.1 (the part on Taylor polynomials)
• Sections 3.1, 3.3, and 3.5 on interpolation
• Sections 4.3, 4.4, and 4.7 on numerical integration
• Section 6.3 on linear algebra
• Sections 6.1 and 6.5 on Gaussian elimination and LU decomposition
• Section 7.1 on vector and matrix norms
• Sections 2.1, 2.2, 2.3, and 2.4 on nonlinear equations in one variable
• Sections 5.1, 5.2, 5.3, and 5.4 on initial value problems for ordinary differential equations

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 Numerical Calculations. You must master techniques used in Calculus to follow the course. If you cannot easily integrate or differentiate a function 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 is no MATLAB question in the exams.
• Syllabus.
• ICON.
• Course pack (required): My class notes are available as a course pack at the IMU bookstore for $12.90.
• Textbook (recommended): Numerical Analysis, 10th edition by Richard L. Burden, J. Douglas Faires, and Annette M. Burden , Cengage Learning; 2015, 896 pages, ISBN-10: 1305253663, ISBN-13: 978-1305253667 (Hardcover, list price: $299.95, bookstore price $281.53 (new), $211.15 (used), $185.55 (rental new), $115.15 (rental used), amazon.com price: $116.98) or ISBN-13: 978-1305730663 (ebook, starting list price: $33.49). Companion Website. 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

• CLAS Linux Support.
• Linux computer accounts are available on the Linux network in MLH (computer lab rooms B5 and 301). Linux Service Account Description
• You can find local online Linux Help for questions/problems you may have about Linux.
• Selected Unix commands.
• If you have problems with your Linux account go to 303A MLH.
• These accounts expire, see the account expiration policy. If there is anything in this directory that you would like to save, you must archive it to your own home directory.

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

• A list of Fortran tutorials, Fortran 90 for the Fortran 77 programmer, Fortran 90 for Fortran 77 programmers.

GRADER

• Chuan Lu, office: 269 MH, mailbox is in 15 MLH (MacLean Hall), phone: 353-2526, e-mail: chuan-lu@uiowa.edu.