22M:072/22C:072
Elementary Numerical Analysis
Fall 2008

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@math.uiowa.edu
WWW URL:	http://www.math.uiowa.edu/~dstewart/
Office hours:	TBA
Class hours:	10:30-11:20am MWF
Class location:	217 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%). The dates for the two in-class exams will be Friday September 26 and October 31. The final exam is on 9:45am, Wednesday December 17.

Notes

1. Course plan: 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 ICON web page for this course, which is accessible via: ICON http://icon.uiowa.edu/This page will have homework details and other information posted to it as the class progresses.
2. Administration: The administrative home of this course is The Department of Mathematics in the College of Liberal Arts and Sciences: 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. Since the administrative home of this course is the College of Liberal Arts and Sciences, which governs academic matters relating to the course such as add/drop deadlines, second-grade-only option, issues concerning academic fraud or academic probation, and how credits are applied for various CLAS requirements. Please keep in mind that different colleges might have different policies. If you have questions about these or other CLAS policies, visit your academic advisor or 120 Schaeffer Hall and speak with the staff. The CLAS Academic Handbook is another useful source of information on CLAS academic policy: www.clas.uiowa.edu/students/academic_handbook/index.shtml
3. Academic Fraud: Plagiarism and any other activities that result in a student presenting work that is not his or her own are academic fraud. Academic fraud is reported to the departmental DEO and then to the Associate Dean for Academic Programs and Services in the College of Liberal Arts and Sciences who deals with academic fraud according to these guidelines: http://www.clas.uiowa.edu/students/academic_handbook/ix.shtml
4. Disabilities: A student seeking academic accommodations should first register with Student Disability Services and then meet with a SDS counselor who determines eligibility for services. A student approved for accommodations should meet privately with the course instructor to arrange particular accommodations. See http://www.uiowa.edu/~sds
5. Suggestions & complaints: Students have the right to make suggestions or complaints and should first visit with the instructor, then with the course supervisor if appropriate, and next with the departmental DEO. All complaints must be made within six months of the incident. http://www.clas.uiowa.edu/students/academic_handbook/ix.shtml#5
6. Sexual Harassment: Sexual harassment subverts the mission of the University and threatens the well-being of students, faculty, and staff. Visit http://www.sexualharassment.uiowa.edu/for definitions, assistance, and the full policy.
7. Reacting Safely to Severe Weather: If severe weather is indicated by the UI outdoor warning system, class members will seek shelter in the innermost part of the building, if possible at the lowest level, staying clear of windows and of free-standing expanses which might prove unstable. The class will resume after the severe weather has ended. See the Operations Manual section 16.14. i (http://www.uiowa.edu/
8. Student Classroom Behavior: The ability to learn is lessened when students engage in inappropriate classroom behavior, distracting others; such behaviors are a violation of the Code of Student Life. When disruptive activity occurs, a University instructor has the authority to determine classroom seating patterns and to request that a student exit immediately for the remainder of the period. One-day suspensions are reported to appropriate departmental, collegiate, and Student Services personnel (Office of the Vice President for Student Services and Dean of Students).
9. University Examination Policies: Missed exam policy. University policy requires that students be permitted to make up examinations missed because of illness, mandatory religious obligations, certain University activities, or unavoidable circumstances. Excused absence forms are available at the Registrar web site: http://www.registrar.uiowa.edu/forms/absence.pdf
10. Final Examinations: An undergraduate student who has two final examinations scheduled for the same period or more than three examinations scheduled for the same day may file a request for a change of schedule before the published deadline at the Registrar's Service Center, 17 Calvin Hall, 8-4:30 M-F, (384-4300).

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