**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”, 2^{nd} 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)."