ELEMENTARY NUMERICAL ANALYSIS-22M:072/22C:072, section 001

FALL SEMESTER 2010


SYLLABUS

Meeting times: 10:30-11:20 MWF. Standard out-of-class preparation is at least six hours.

Meeting place: 213 MLH

Prerequisites: A grade of C- or higher in 22M:022 or 22M:026 or 22M:032 (essentially in single variable calculus). Some computer programming experience, preferably MATLAB, will be helpful. A knowledge of linear algebra and differential equations will also be helpful.

Instructor: Laurent O. Jay

Office: 225L MLH

Office hours: Monday and Wednesday 9:30AM-10:30AM and 11:30AM-noon. I will also be available at other times. Just drop by my office or send me an e-mail to make an appointment.

Telephone: (319) 335-0898

Fax: (319) 335-0627

E-mail address: ljay@math.uiowa.edu

Mailbox: in Mailroom 15 MLH

Course web page: Assignments and other information about the course will be given in http://www.math.uiowa.edu/~ljay/m72_10.html. Students are responsible for checking regularly this course web page.

Course pack: My class notes are available as a course pack at the IMU bookstore for $14.75+tax.

Textbook complement (recommended): Numerical Analysis: Mathematics of Scientific Computing by David R. Kincaid and E. Ward Cheney, Third Edition, 788 pp., Hardcover, The Sally Series, Pure and Applied Undergraduate Texts, Volume: 2, American Mathematical Society, 2002, ISBN-10: 0821847880, ISBN-13: 978-0821847886, list price: $89.00. Library reference: Engineering Library QA297 .K563 2009, The book on amazon.com. This book is intended to be a complement giving a different view of the material.

Additional useful readings:

Course outline: Topics to be covered:

This course plan may be modified during the semester. Such modifications will be announced in advance during class periods and on the course web page; the student is responsible for keeping abreast of such changes.

Goals and objectives of the course: This course will cover some basic topics of numerical analysis at an introductory level (see the course outline above for the list of topics to be covered). The main objective will be to have a clear understanding of the ideas and techniques underlying the numerical methods, results, and algorithms that will be presented, where error analysis plays an important role. You will then be able to use this knowledge to analyze the numerical methods and algorithms that you will encounter, and also to program them effectively on a computer. This knowledge will be useful in your future to solve various problems numerically.

Class procedures: The majority of each class period will be lecture oriented. It is strongly advised to read the material to be discussed before coming to class. Therefore, if there is a difficult point, you will know beforehand where it arises, so that you can benefit from the lecture more effectively. If the point remains unclear you can always ask questions.

Homework: Will be assigned weekly. Presentation of your results is very important. Scratch paper will not be accepted. Do not expect good grades if your solution to a problem is poorly communicated. Like for everything, if you cannot explain something in great details, you certainly have not fully understood it. The importance of doing homework cannot be overemphasized, most of human people learn by doing, not only by watching and/or listening.

Computer languages: The predominant programming languages used in numerical analysis are Matlab and Fortran. For programming assignments, no other language will be accepted.

Linux computer accounts: Linux computer accounts will be made available on the Linux network in MLH (computer lab rooms B5 and 301). You can also use the NoMachine NX Client Windows software to access your Linux computer account remotely. Accounts for students who are not majoring in Computer Science, Mathematics, or Statistics and Actuarial Science will be deleted after the term has ended! Note the expiration date at the top of your Unix Account Information form. The directory for this class will be removed before the beginning of the next term! If there is anything in this directory that you would like to save, you must archive it to your own home directory.

Grader: Nan Hu, 269 MH, 335-3526, e-mail: nhu2@math.uiowa.edu.

Grading procedures: The final grade will be based as follows:

  1. There will be 2 tests during the semester, with each test to account for 15% of the course grade.
  2. Homework assignments will account for 30% of the course grade. Late homework will be accepted only by special permission of the instructor. The grade for your homework will be based on all the homeworks minus your worst 2 scores, for example if we have 12 homeworks it will be based on your best 10 out of 12 homeworks. Only a portion of each homework assignment may be graded, based on the availability of assistance from a grader for the course.
  3. The final examination will account for 40% of the course grade and it will be comprehensive.

The 2 tests and final examination are open books and open notes examinations. Bring a scientific calculator. In assigning grades, plus/minus grading will be used.

Final examination: To be held on Wednesday, December 15, 9:45-11:45 AM in room 213 MLH. Only under exceptional circumstances will a student be permitted to shift the time of this examination. The final examination will be done with open books and open notes. Bring a scientific calculator.

Add or drop: 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.

Cross enrollments: Details of the University policy of cross enrollments may be found at: http://www.uiowa.edu/~provost/deos/crossenroll.doc.

Notes to student: The Department of Mathematics has offices in 14 MLH. To make an appointment to speak with the Chair of the Department, call 335-0714 or contact the Departmental Secretary in 14 MLH.


The College of Liberal Arts and Sciences Policies and Procedures

The CLAS policy statements have been summarized from the web pages of the College of Liberal Arts and Sciences.

Administrative Home: The College of Liberal Arts and Sciences is the administrative home of this course and governs matters such as the add/drop deadlines, the second-grade-only option, and other related issues. Different colleges may have different policies. Questions may be addressed to 120 Schaeffer Hall, or see the CLAS Student Academic Handbook at http://www.clas.uiowa.edu/students/handbook/.

Electronic Communication: University policy specifies that students are responsible for all official correspondences sent to their University of Iowa e-mail address (@uiowa.edu). Faculty and students should use this account for correspondences. (Operations Manual, III.15.2 at http://www.uiowa.edu/~our/opmanual/iii/15.htm#152/ Scroll down to k.11.)

Accommodations for Disabilities: A student seeking academic accommodations should first register with Student Disability Services and then meet privately with the course instructor to make particular arrangements. See http://www.uiowa.edu/~sds/ for more information.

Academic Fraud: Plagiarism and any other activities when students present work that is not their own are academic fraud. Academic fraud is a serious matter and is reported to the departmental DEO and to the Associate Dean for Undergraduate Programs and Curriculum. Instructors and DEOs decide on appropriate consequences at the departmental level while the Associate Dean enforces additional consequences at the collegiate level. See the CLAS Academic Fraud section of the Student Academic Handbook at http://www.clas.uiowa.edu/students/handbook/x/#2.

CLAS Final Examination Policies: Final exams may be offered only during finals week. No exams of any kind are allowed during the last week of classes. Students should not ask their instructor to reschedule a final exam since the College does not permit rescheduling of a final exam once the semester has begun. Questions should be addressed to the Associate Dean for Undergraduate Programs and Curriculum.

Making a Suggestion or a Complaint: Students with a suggestion or complaint should first visit the instructor, then the course supervisor, and then the departmental DEO. Complaints must be made within six months of the incident. See the CLAS Student Academic Handbook at http://www.clas.uiowa.edu/students/handbook/x/#5.

Understanding Sexual Harassment: Sexual harassment subverts the mission of the University and threatens the well-being of students, faculty, and staff. All members of the UI community have a responsibility to uphold this mission and to contribute to a safe environment that enhances learning. Incidents of sexual harassment should be reported immediately. See the UI Comprehensive Guide on Sexual Harassment at http://www.uiowa.edu/~eod/policies/sexual-harassment-guide/index.html for assistance, definitions, and the full University policy.

Reacting Safely to Severe Weather: In severe weather, class members should seek appropriate shelter immediately, leaving the classroom if necessary. The class will continue if possible when the event is over. For more information on Hawk Alert and the siren warning system, visit the Public Safety web site at http://www.uiowa.edu/~pubsfty/intlinks.htm.

Resources:

Student Classroom Behavior: The ability to learn is lessened when students engage in inappropriate classroom behav- ior, 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 class- room 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).

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

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).