Meeting times: 1:30-2:20 MWF
Meeting place: 205 MLH
Prerequisites: 22M:027 and 22M:028, or 22M:040 and 22M:042, or 22M:056, or consent of instructor, and knowledge of computer programming, preferably MATLAB.
Instructor: Laurent O. Jay
Office: 225L MLH
Office hours: Monday 2:30-4:30 and Wednesday 2:30-3:30. 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/m170_05.html. Students are responsible for checking regularly this course web page.
Goals and objectives of the course: This course is at a graduate level and it is assumed that you can work along the course in an independent fashion. The courses sequence 22M:170-171/22C:170-171 will cover some modern basic topics of numerical analysis. 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 not only to solve problems with a numerical component, but also to develop numerical procedures of your own.
Textbook (complement): Numerical Mathematics by A. Quarteroni, R. Sacco, & F. Saleri, Springer, Texts in applied mathematics, New York, 37, ISBN: 0387989595, list price: $69.95. Library reference: MATH QA297 .Q836 2000. We will not cover the whole book. It is intended to be a reference and a complement giving a different view of the material. Aside from the book, class notes will be distributed based on the lectures. The book will be the same for 22M:171/22C:171-Numerical analysis: differential equations and linear algebra.
Course outline: Topics to be covered:
Additional useful readings:
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.
Class procedures: The majority of each class period will be lecture oriented. I will generally hand out in advance the notes related to the material to be covered during the next class(es). 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 Fortran and Matlab. For programming assignments, no other language will be accepted.
Computer resources: Computer accounts will be made available on the Linux network in MLH (lab rooms B5 and 301). Check the laboratories reservation schedule and the web page of the Division of Mathematic Sciences Educational Laboratories for more information.
Grading procedures: The final grade will be based on one mid-term examination, the final examination, and homework, as follows:
The tests are open books and open notes examinations. Bring a scientific calculator. In assigning grades, plus/minus grading will be used.
Grader: Yuan Wu, e-mail: yuawu@math.uiowa.edu.
Final examination: To be held on Tuesday, December 13, 2005, 9:45-11:45 A.M. in room 205 MLH. Only under exceptional circumstances will a student be permitted to shift the time of this examination. This final examination will be done with open books and open notes. Bring a scientific calculator.
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.
Please let your instructor know if you have a disability that requires special arrangements.
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.
Cell phones and pagers must be on silent mode during lecture. CELL PHONES AND PAGERS ARE NOT ALLOWED IN CLASS DURING EXAMS. If you do bring a cell phone or pager to an exam, you may leave it in the front of the class during the exam. If a student is found to have a cell phone or pager during an exam, the cell phone or pager will be taken from the student and procedures for cheating may be followed.