AMSC 466 (fall 2008)– Introduction to Numerical Analysis

Prerequisites: MATH240; and MATH241; and CMSC106 or CMSC114 or ENEE114. Also offered as CMSC466. Credit will be granted for only one of the following: AMSC/CMSC/MAPL460 or AMSC/CMSC/MAPL466. Formerly MAPL466.

Topics:
1. Root-finding for nonlinear equations
2. Interpolation theory
3. Numerical integration
4. Numerical methods for ordinary differential equations
4. Methods for solving systems of linear equations


Instructor and grader:
Manuel Tiglio
Office: 4129 CSI Building.
Phone: (301) 405-0667
email: tiglio@umd.edu


Lectures: Tuesday and Thursday: 11:00AM-12:15pm. CSI 2120
Office hours: Tuesday and Thursday: 12:30pm-1:30pm. CSI 4129


Web: The webpage of the course is http://www.cscamm.umd.edu/people/faculty/tiglio/AMSC466.html


Text:
“An Introduction to Numerical Analysis”, 2nd ed., K. E. Atkinson (required).
“Afternotes on Numerical Analysis”, G. W. Stewart (optional).

Computing
For some of the homework you will have to write some (rather simple) programs. You can use any computer package or compiler-based language of your choice. The standard commercial packages are Mathematica, Matlab and Maple. There are also open source, free alternatives, which include their own (free) tutorials. Some of them are:
FreeMat: http://freemat.sourceforge.net/
Octave: http://www.gnu.org/software/octave/

Grading Policy:
40% of the final grade will be based on homework, 10% on class participation, 20% on a midterm exam, and 30% on a final exam.
For an A you will need 90%-100% of points, for a B 80%-89%, for a C 70%-79%, and for a D 50%-69%.

Homework
Homework assignments and their deadlines will be given in class and posted on the web. They will have to be turned in in writing at the beginning of the specified class. Solutions will be either posted on the course webpage or will be given in class.
Not all problems will be graded---a representative, random sample will be.

In grading the turned in assignments your work for reasoning, logic, completeness and clear explanations will be considered.
Points will be deducted if your answer is hard to read or difficult to understand (for example, due to incomplete sentences), or the logic not clearly explained, even if the final result is correct.
You are not required but you are welcome to use a word processor or text editor of your choice when turning in your homework if you wish.

If a homework includes some programming, please do not turn it in as the package/language spreadsheet or source code. Instead, use the program to find the results that are asked for and write down everything that the problem asks for, along with printing any plots that are needed, etc.

Late homework will be accepted under exceptional circumstances and at the discretion of the instructor, but not after solutions have been handed out.

Please make sure you include your name and the homework and course numbers and staple the pages together.

You are encouraged to discuss the homework with others, however the work you turn in should be your own formulation and reflect your own understanding.

Class participation:
It is important to read the material of each chapter ahead of time. We will sometimes proceed in an interactive manner, with students assigned to discuss certain sections of the textbook as well as present solutions to homework problems.

Exams:
In order to get a make up for a missed exam you need to provide in written the reason, which has to be one of allowed by the university: religious holiday, illness, or an official university event. Students who cannot attend a test due to religious reasons should contact me in advance to discuss an alternative.

Students with disabilities
Students with disabilities should contact me as soon as possible so that appropriate arrangements can be made to accommodate the student's needs.

Academic integrity:
The University of Maryland, College Park has a nationally recognized Code of Academic Integrity, administered by the Student Honor Council. This Code sets standards for academic integrity at Maryland for all undergraduate and graduate students. As a student you are responsible for upholding these standards for this course. It is very important for you to be aware of the consequences of cheating, fabrication, facilitation, and plagiarism. For more information on the Code of Academic Integrity or the Student Honor Council, please visit http://www.shc.umd.edu.

To further exhibit your commitment to academic integrity, remember to sign the Honor Pledge on all examinations and assignments: "I pledge on my honor that I have not given or received any unauthorized assistance on this examination (assignment)."