ORDINARY DIFFERENTIAL EQUATIONS I-22M:213

FALL SEMESTER 2009


SYLLABUS

Course meeting times: 2:30-3:20 MWF

Course meeting place: 105 MLH

Prerequisites: 22M:142 or equivalent or consent of instructor.

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: 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/m213_09.html. Students are responsible for checking regularly this course web page.

Textbooks (recommended):

  1. Calculus of Variations by I. M. Gelfand and S. V. Fomin, 2000, 240 pages, Paperback, Dover Publications, ISBN-10: 0486414485, ISBN-13: 978-0486414485, list price: $10.95. Library references: Mathematical Sciences Library QA315 .G417. The book on amazon.com.
  2. Mathematical Methods of Classical Mechanics by V.I. Arnol'd, Springer, Series: Graduate Texts in Mathematics, Vol. 60, 2nd edition 1989, Corr. 4th printing (September 5, 1997), 509 pages, Hardcover, ISBN-10: 0387968903, ISBN-13: 978-0387968902, list price: $69.95. Library references: Engineering Library QA805 .A6813 1989a, Physics Library QA805 .A6813 1989, and Physics Reserve QA805 .A6813 1989b. Table of contents. The book on amazon.com.

Additional references:

Goals and objectives of the course: This course is an advanced graduate course and it is assumed that you can work along the course in an independent fashion. This course is a natural continuation of 22M:142 (nonlinear dynamics with numerical methods). Though the course is mostly about the theory of ordinary differential equations (ODEs), we will consider this theory in conjunction with some theoretical and practical aspects of numerical methods for ODEs. If you have a high interest in a specific topic related to ODEs, please let me know. If a majority of students taking the class is interested in the topic then I may cover it during Spring semester 2008.

Class procedures: The majority of each class period will be lecture oriented. Readings will be assigned.

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

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 10% of the course grade.
  2. You can choose to work on a Latex assignment or a project. This will account for 20% of the course grade. Before working on a project it needs to be approved by the teacher early in the semester. Material for the Latex assignment will be provided by the teacher. The Latex assignement is due on November 30, 2009.
  3. Homework assignments will account for 25% of the course grade. You need to pass at least 40% of all exercises given (without counting the "Challenge" questions which carry an extra value of two passed exercises).
  4. The final examination will account for 25% of the course grade and it will be comprehensive.
  5. 10% will come from the best among the 2 tests and the final

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

Grader: Beven Kair, e-mail: bkair@math.uiowa.edu. B20J MLH. Phone: 335-3650.

Final examination: To be held on Tuesday, December 15, 2009, 7:30-9:30 A.M. in room 105 MLH. Only under exceptional circumstances will a student be permitted to shift the time of this examination.

Course topics:

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.

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.


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).