NUMERICAL ANALYSIS: DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA-22M:171/22C:171

SPRING SEMESTER 2012


SYLLABUS

Meeting times: 9:30-10:20 MWF. Standard out-of-class preparation is at least six hours.

Meeting place: 217 MLH

Discussion section meeting time: 9:30-10:20 T

Discussion section meeting place: 205 MLH

2 Computer Lab hours: 9:30-11:20 Th

Prerequisites: 22M:027 (MATH:2700) and 22M:028 (MATH:2850), or 22M:037 (MATH:3550) or 22M:056 (MATH:3780); and 22M:100 (MATH:3600), or consent of instructor, and knowledge of computer programming, preferably MATLAB.

Instructor: Laurent O. Jay

Office: 225L MLH

Office hours: Monday and Wednesday 10:30-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: laurent-jay@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/m171_12.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.

Textbooks (recommended):

  1. Fundamentals of Matrix Computations, 3rd Edition by David S. Watkins, Wiley (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts), Hoboken, N.J., Hardcover, 644 pages, July 6 2010, ISBN: 978-0470528334, list price: $121.00, book cover, errata. Library reference: Engineering Library QA188 .W38 2010. Contents; This textbook on amazon.com.
  2. Free electronic book on Iterative Methods for Linear and Nonlinear Equations by Tim Kelley. If the link does not work, go to Download Books from SIAM. This textbook on SIAM for purchase, Softcover, ISBN-10: 0-89871-352-8, ISBN-13: 978-0-898713-52-7, list price: $57.00, SIAM member price $39.90 (becoming a SIAM member is free for students!). This textbook on amazon.com.

We will not cover these 2 books in whole. They are intended to be references and complements giving different views of the material. Aside from the books, class notes will be distributed based on the lectures. In particular some book chapters copies will be given for the topic of numerical methods for ordinary differential equations.

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. Readings will be assigned.

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 except C/C++.

Computer resources: Computer accounts will be made available on the Linux network in MLH (lab rooms B5 and 301).

Grading procedures: The final grade will be based on one mid-term examination, the final examination, and homework, as follows:

  1. There will be 2 tests during the semester, with each test to account for 17.5% of the course grade.
  2. The final examination will account for 40% of the course grade.
  3. Homework and project assignments will account for 25% 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.

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

Teaching assistant: Qiwei Sheng, e-mail: qiwei-sheng@uiowa.edu.

Final examination: To be held on Thursday, May 10, 2012, 10:00 A.M.-12:00 P.M. (noon) in room 217 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.

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://provost.uiowa.edu/ucoll/students/registration.htm#cross.

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. DEO: Dan Anderson, 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).