SE121: Numerical Methods in Engineering
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This page collects information related to the course SE121: Numerical Methods in Engineering taught by Petr Krysl. The syllabus is available in PDF form. The standard ABET course mission, goals, and assessment summary describes the goals of the course in the context of the departmental education policies, and the methods that are going to be used to assess the effectiveness of the course. The syllabus for this quarter and the standard ABET course summary (syllabus) are discussed in class during the first lecture.
The departmental Academic Integrity Policy sets down the ethical standards by which both the instructor and the students will measure their professional behavior. Please study this reference source well.
[11/05] Midterm 1 scores are available now. I would be happy to answer score inquiries via e-mail..
[10/29] A couple of typos were found today on page 49. Thanks to Yvonne and Megan. Please refer to the list of corrected errors.
[10/26] The AETNA toolbox was updated with the vibration mode animation demonstrated in class today. Please download and install this version if you'd like to explore the animations yourself.
[10/05] Midterm dates have been selected. See below.
[10/05] List of corrected errors that occur in the printed book has been posted below.
The required textbook is by Petr Krysl “ An Engineer's Toolkit of Numerical Algorithms ,” 2009. The instructor will supply printed copies of the textbook.
The book comes with a hypertext version in PDF. This is highly recommended for studying as the links provide a quick way of jumping from place to place and looking up information from the index and using full-text search is easy.
My apologies: A few errors crept in into the book while I was not looking. Please refer to the list of corrected errors.
The following books are recommended as reference or supplemental reading. To refresh your knowledge of linear algebra (which is a crucial mathematical tool for the course), I'd recommend:
G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 1998.
G. Strang, Linear algebra and its applications, Harcourt, Inc., 1988.
Also, check out the web site of Gilbert Strang's linear algebra course: most useful! There are MATLAB tutorials there, videos(!) from his lectures, MATLAB code and lots of examples.
As a resource of background information for differential equations, this book will do:
Boyce, DiPrima, Elementary differential equations, seventh edition, John Wiley and Sons Inc. (2001).
An excellent discourse on why applied math may be good for you was given by G. Strang in the Introduction to Applied Mathematics, Wellesley-Cambridge Press, 1986.
Definitely recommended as supplementary reading is Numerical Computing with MATLAB, by Cleve Moler. An excellent textbook for download, plus Matlab programs galore.
The Matlab toolkit AETNA is available for download.
The solved exercises are examples of how to work out solutions to homework problems. To some extent they also hint at questions that may be asked during midterm or final exams. (The examination questions would deal with qualitative issues, analytical derivations, and problems requiring minimal computation. No programming on the exams.)
The whiteboards are listed here for each lecture. The textbook is traversed in linear order, and the lectures follows this order too. They may not exactly correspond to lecture days one-to-one due to occasional slowing down or speeding up, as the situation dictates. The lectures are archived as podcasts.
Students are required to review the upcoming lecture(s) ahead of time. The lecture time will be devoted to a quick review of the concepts, discussion, and solution of problems and demonstrations. Students should be prepared to ask questions. If someone is not comfortable asking questions during the lecture, the inquiries may be posted in the comments section on this website and the instructor will address these questions during the lecture.
List of whiteboards. Formats: PDF and DyKnow.
MATLAB: If there is a computing assignment, it needs to be done with MATLAB. MATLAB comes with a great help system (here is the "Get started" file in PDF form). Just click on the question mark icon, or type `help'. Also, there is plenty of MATLAB code available on the Internet, in particular I'd suggest to have a look at the web site of Gilbert Strang's linear algebra course. Of course, MATLAB information is abundant on the Mathworks web site. A cornucopia of MATLAB goodies is available at MatWeb (for instance this basic MATLAB tutorial). Here is another useful MATLAB primer, and a tutorial.
Check out the new MATLAB book by the author of MATLAB, Cleve Moler.
Homework list: due the second Friday from the date was assigned.
Work out solutions on paper and with Matlab, as appropriate, and turn in both the handwritten solutions and printouts of any Matlab code or figures.
Essentially what we are looking for in the homework solutions is enough information to answer unambiguously and clearly the questions posed in the homework. What is enough? There must be sufficient information for someone to reproduce your results by following your homework report. Turn in the homework in hardcopy, but store the electronic version of the homework, especially the Matlab codes for the (rare) occasion when a TA might wish to run your code. The solution should consist of professional-quality graphs, including formulas used to produce the graphs. If the graphs are computed, and consist of a large number of data points, do not print out the data. On the other hand, if the graphs consists only of a few points (such as the error plots), you can include a printout of the data. If the result was produced by Matlab computation, include a printout of the code. Do not forget to label the code so that it is clear which result was produced by which code.
Please refer to the outline of how we measure the quality of homework.
The departmental Academic Integrity Policy sets down the ethical standards by which both the instructor and the students will measure their professional behavior. Please study this reference source well. The UCSD POLICY ON INTEGRITY OF SCHOLARSHIP states the general rules and procedures associated with student integrity of scholarship. It is your responsibility as a future professional to uphold and enhance the honor, integrity and dignity of the profession.
Midterm examination 1 (October 21, at 11 a.m.). In class. Review of the material up to and including October 16.
Midterm examination 2 (November 6). In class. Review of the material up to and including November 2.
Final examination (Tuesday December 8 1130 a.m.). Material selected from the entire book.
Here is a chronological list of postings.
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Modified: 09/16/09