SPRING SEMESTER 2014

The University of Iowa

The College of Liberal Arts and Sciences

Department of Mathematics

ORDINARY DIFFERENTIAL EQUATIONS II: MATH:6610(22M:214)

12:30-1:20PM MWF, 113 MLH


Course meeting times: 12:30-1:20PM MWF. Standard out-of-class preparation is at least six hours.

Course meeting place: 113 MLH

Prerequisites: MATH:6600(22M:213) or equivalent or consent of instructor.

Instructor: Laurent O. Jay

Office: 225L MLH

Office hours: Monday and Wednesday 10:30 AM-11:45 AM. I will also be available at other times. Just drop by my office or send me an e-mail to make an appointment.

Phone: (319)-335-0898

Fax: (319)-335-0627

E-mail: laurent-jay@uiowa.edu

Mailbox: in Mailroom 15 MLH

DEO contact information: 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, 14A MLH.

Course web page: Assignments and other information about the course will be given in http://www.math.uiowa.edu/~ljay/m214_14.html. Students are responsible for checking regularly this course web page.

Description of 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 continuation of 22M:213 (Ordinary Differential Equations I). Though the course is mostly about the theory of ordinary differential equations (ODEs), we may consider this theory in conjunction with some theoretical and practical aspects of numerical methods for ODEs. We will cover as many topics as possible, but of course several of them will be skipped due to time limits.

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.

Textbook: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by John Guckenheimer and Philip Holmes, Springer, Series: Applied Mathematical Sciences, Vol. 42, Second, rev, corr edition (February 1, 2002), 459 pages, Hardcover, ISBN-10: 0387908196, ISBN-13: 978-0387908199, list price: $109.00. Library reference: Main Library Math Collection QA867.5 .G8 1986. The book on amazon.com.

Additional references:

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

Homework: Will be assigned approximately 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. Late homework may not be accepted, you need to request permission first or to provide a reasonable justification. Late homework is not accepted once a correction is given. Use of symbolic mathematical software to solve problems is not allowed.

Student Collaboration: In this class, students are not allowed to collaborate with others on homework and other graded assignments. Do not share your work with others or ask others to see their completed assignments since both are considered academic misconduct. If you need help, stop by during my office hours. Students are responsible for understanding this policy; if you have questions, ask for clarification.

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.

Grading procedures: The final grade will be based minimally on attendance (10%) and homework assignments (90%). There may be some optional midterm tests, take-home examinations, and a final examination to help improve your grade.

Final Examination: For those who wish to take it, the final examination will be held on Monday May 12 2014, 7:30-9:30 AM in room 113 MLH.

Grader: Ekaterina Nathanson, e-mail: ekaterina-nathanson@uiowa.edu. B12 MLH. Phone: 353-2509.

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.


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 Academic Policies Handbook at http://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, Operations Manual, III.15.2, 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 www.uiowa.edu/~sds/ for more information.

Academic Honesty: All CLAS students or students taking classes offered by CLAS have, in essence, agreed to the College's Code of Academic Honesty: "I pledge to do my own academic work and to excel to the best of my abilities, upholding the IOWA Challenge. I promise not to lie about my academic work, to cheat, or to steal the words or ideas of others; nor will I help fellow students to violate the Code of Academic Honesty." Any student committing academic misconduct is reported to the College and placed on disciplinary probation or may be suspended or expelled (CLAS Academic Policies Handbook).

CLAS Final Examination Policies: The final examination schedule for each class is announced by the Registrar generally by the tenth day of classes. Final exams are offered only during the official final examination period. No exams of any kind are allowed during the last week of classes. All students should plan on being at the UI through the final examination period. Once the Registrar has announced the date, time, and location of each final exam, the complete schedule will be published on the Registrar's web site and will be shared with instructors and students. It is the student's responsibility to know the date, time, and place of a final exam.

Making a Suggestion or a Complaint: Students with a suggestion or complaint should first visit with the instructor (and the course supervisor), and then with the departmental DEO. Complaints must be made within six months of the incident (CLAS Academic Policies Handbook).

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 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 Department of Public Safety website.