22M:072/22C:072
Elementary Numerical Analysis
Spring 2007

This course will cover basic numerical analysis and particularly issues such as roundoff error (i.e., you can't store infinitely many digits in a computer), approximating functions (you can't store $y=f(x)$ for all values of $x$), how to solve equations, integrate functions (numerically), and even solve some differential equations.

Contact/class information

Instructor:	Dr. David Stewart
Phone:	335-3832
Email:	dstewart(at)math(dot)uiowa(dot)edu
WWW URL:	http://www.math.uiowa.edu/~dstewart/
Office hours:	TBA
Class hours:	2:30-3:20pm MWF
Class location:	214 MLH

You can see me outside the office hours provided it is mutually convenient.

This class will use ICON: https://icon.uiowa.edu/.

Textbook

Elementary Numerical Analysis by K. Atkinson and W. Han. (3rd edition)

Syllabus

Numerical analysis is about how to design and analyze algorithms that work with real numbers. In this course you will be introduced to some surprising things about the way computers perform these kinds of computations (the computer is almost always wrong). In spite of this, it is usually not wrong by a lot. Of course, to be sure, we need to know how much error is in the answers computed. The other side of the question is how do you compute something, or solve an equation? Some algorithms are more accurate than others, and some perform faster than others. Knowing which is which is vitally important if you have to do numerical computations.

• Round-off errors and machine epsilon.
• How to solve a single nonlinear equation in a single unknown.
• How to solve simultaneous linear equations.
• How to approximate functions with polynomials & the error in the approximations.
• Integration and solution of differential equations.

Assessment

There will be two in-class exams (20% each), some sets of homework (30%), and a final exam (30%).

Additional Notes

1. The course plan may be modified during the semester. Such modifications will be announced in advance during class periods; the student has responsibility for keeping up with such changes. You should also make a habit of reviewing the class web page, which is accessible via: 
   http://www.math.uiowa.edu/~dstewart/classes/ 
   This page will have homework details and other information posted to it as the class progresses.
2. The Department of Mathematics offices are in 14 McLean Hall (MLH). You can contact the chair of the department through the Departmental Secretary at 14 MLH or by calling 335-0714.
3. Please let you instructor know if you have a disability that requires special arrangements. I need to hear from anyone who has a disability which may require some modification of seating, testing or other class requirements so that appropriate arrangements can be made. Please see me after class or during my office hours.
4. Be sure to read the section titled Student Complaints Concerning Faculty Actions in the Schedule of Classes.
5. This course is given by the College of Liberal Arts and Sciences. This means that class policies on matters such as requirements, grading, and sanctions for academic dishonesty are governed by the College of Liberal Arts and Sciences. Students wishing to add or drop this course after the official deadline must receive the approval of the Dean of the College of Liberal Arts and Sciences. Details of the University policy of cross enrollments may be found at:

   http://www.uiowa.edu/~provost/deos/crossenroll.doc .

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