SYLLABUS

** Instructor**: **Kendall Atkinson**
** Office**: 1B MacLean Hall (Phone: 335-0766)
** Office Hours**: 10:30-11:25 MWF. I am available at other times;
check by e_mail or just drop by my office.** Electronic Mail: **Kendall-Atkinson@uiowa.edu
**Course WWW Page**: http://www.math.uiowa.edu/~atkinson/m170.html

** Book**: * An Introduction to Numerical Analysis*, second
edition, by K. Atkinson. Available from * IMU Bookstore* or * Iowa Book
and Supply*. For other sources for purchasing books, click
here. In some
cases, you can get a book at a significantly lower price than locally, provided
you are willing to wait for it to be mailed to you.

** Final Examination**: 7:00 PM, Friday, December 15. Only under
exceptional circumstances will a student be permitted to shift the time of this
examination.

** Course Goals and Objectives:** The sequence 22M:170-171 (or
equivalently 22C:170-171) gives an in-depth introduction to the basic areas of
numerical analysis. The course M170 covers the topics corresponding to Chapters
1-5 of the above text, and M171 covers Chapters 6-9. The course will cover the
development and mathematical analysis of practical algorithms for the basic
areas of numerical analysis (as defined by the contents of the textbook for the
course). The course M171 does not assume a knowledge of M170; and material from
M170 that is needed in M171 will be reviewed as necessary

** Prerequisites:** Single variable and multivariable calculus; a
knowledge of computer programming; linear algebra.

The predominant programming languages used in numerical analysis are *Fortran*
and *MATLAB*. Sample numerical analysis programs in *Fortran 77* and
*MATLAB* will be provided. For students unacquainted with *MATLAB*,
a short introduction is available from the WWW page for the course. A student
version of *MATLAB* can be obtained from the company
Mathworks, Inc.
at a significantly reduced price. This student version is essentially the full
version, with special add-on toolboxes. Class computer accounts will be made
available in the general use MacLean Hall computer laboratories (e.g. MLH 311,
B5). Programs in languages other than *Fortran* and *Matlab* are
also sometimes acceptable, but no programming assistance will be given in the
use of such languages (e.g. * C, C++, Pascal, Java*).

** Grading Policy**: The final grade will be based on tests and
problems, as follows:

- There will be two 2-hour tests, and each will count 30% of the course grade. The first exam will be given approximately halfway thru the semester, and it will be given during evening hours, at 7:00-9:00 PM at a time to be arranged later. The second test will be given during the scheduled final examination time, and it will cover only the second half of the course.
- Homework assignments will count 40% of the course grade. Late homework will be accepted only by special permission of the instructor.

**Topics to be covered** (with reference to the course textbook):

- Chapter 1: Preliminaries; general concepts related to error.
- Sections 1.1-1.6
- Chapter 2: Solution of nonlinear equations
- Sections 2.1-2.8, 2.10-2.12
- Chapter 3: Interpolation theory
- Sections 3.1-3.3, 3.5-3.7 (multivariable interpolation as time permits)
- Chapter 4: Approximation of functions
- Sections 4.1-4.7 (The coverage of some of these topics will be brief)
- Chapter 5: Numerical integration
- Sections 5.1-5.4, 5.6-5.7 (The coverage of some of these topics will be brief)

This course plan may be modified during the semester. Such modifications will be announced in advance during class periods, and the student is responsible for keeping abreast of such changes. The WWW page for the course will also be used to list assignments and other notes, and students are responsible for checking this web page regularly.

** Disability requests: **I must hear from anyone who has a disability
which may require some modification of seating, testing or other class
requirements so that appropriate arrangements may be made. Please see me after
class or during my office hours.

**Complaints:** If you have a complaint regarding the course, and if you
are unsatisfied with the response of the instructor, then you should contact the
Chair of the Dept of Mathematics. The Chair's office is in 14 MLH, and an
appointment to see the Chair can be made by contacting the Departmental
Secretary, also in 14 MLH.