The University of Iowa

The College of Liberal Arts and Sciences

FALL 2024

NONLINEAR DYNAMICS WITH NUMERICAL METHODS: MATH:5600, Section 0001

Course meeting time and place: 1:30-2:20PM MWF, 221 MLH

Department of Mathematics

Course ICON site: To access the course site, log into Iowa Courses Online (ICON) using your Hawk ID and password.

Course Home: The College of Liberal Arts and Sciences (CLAS) is the home of this course, and CLAS governs the policies and procedures for its courses. Graduate students, however, must adhere to the academic deadlines set by the Graduate College.

Instructor:

Prerequisites (for undergraduate students):

Description of course: 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 ICON; the student is responsible for keeping abreast of such changes.

Learning Objectives: This course is at a graduate level and it is assumed that you can work along the course in an independent fashion. This course will cover linear and nonlinear ordinary differential equations (ODEs), numerical methods for ODEs, and some applications. We will prove some but not all theorems and results (some of the proofs are discussed in MATH:6600/MATH:6610). At the end of the course the student should master essential issues in differential equations.

Class procedures: The majority of each class period will be lecture oriented. I will generally hand out my own class notes on the material covered in class. Readings may be assigned. Standard out-of-class preparation is at least six hours per week.

Textbooks:

We will neither follow closely, nor cover entirely the whole textbooks. They are only intended to be a reference and a complement giving a different view of the material. Aside from the textbooks, class notes will be handed out based on the lectures.

Additional useful readings:

Academic Honesty and Misconduct: All students in CLAS courses are expected to abide by the CLAS Code of Academic Honesty. Undergraduate academic misconduct must be reported by instructors to CLAS according to these procedures. Graduate academic misconduct must be reported to the Graduate College according to Section F of the Graduate College Manual.

Student Collaboration on homework: The homework for this course is designed to help you master your knowledge related to the topics covered during lecture. As such, you may discuss on the homework problems with others or use online resources. However, please be aware that to master the skills needed for this class, practice is required and that to do well on the examinations you will need to work many of these problems multiple times without help. Be sure to test your knowledge by doing much of the homework on your own. Students are allowed to partially collaborate with others on homework through discussion for the most difficult problems. However, each student must turn in their own homework and it must not be a copy of someone else homework. Students are responsible for understanding this policy; if you have questions, ask for clarification. Word per word copies will not be tolerated. In extreme cases students may be requested to stop any kind of collaboration with other students.

Student Complaints: Students with a complaint about a grade or a related matter should first discuss the situation with the instructor and/or the course supervisor (if applicable), and finally with the Director or Chair of the school, department, or program offering the course. Undergraduate students should contact CLAS Undergraduate Programs for support when the matter is not resolved at the previous level. Graduate students should contact the CLAS Associate Dean for Graduate Education and Outreach and Engagement when additional support is needed.

Drop Deadline for this Course: You may drop an individual course before the deadline; after this deadline you will need collegiate approval. You can look up the drop deadline for this course here. When you drop a course, a "W" will appear on your transcript. The mark of "W" is a neutral mark that does not affect your GPA. Directions for adding or dropping a course and other registration changes can be found on the Registrar's website. Undergraduate students can find policies on dropping and withdrawing here. Graduate students should adhere to the academic deadlines and policies set by the Graduate College.

Grading System and the Use of +/-: In assigning grades, the plus/minus grading system will be used. The A+ grade will be used only in extraordinary situations. Final grades will be awarded based on the following ranges:

A+ A A- B+ B B- C+ C C- D+ D D- F
100 % to 96.15 % < 96.15 % to 88.46 % < 88.46 % to 80.77 % < 80.77 % to 73.08 % < 73.08 % to 65.38 % < 65.38 % to 57.69 % < 57.69 % to 50.0 % < 50.0 % to 42.31 % < 42.31 % to 34.62 % < 34.62 % to 26.92 % < 26.92 % to 19.23 % < 19.23 % to 11.54 % < 11.54 % to 0.0 %

Course Grades: The final grade will be based as follows:

  1. There will be 2 tests during the semester, with each test to account for 25% of the course grade.
  2. Homework assignments and quizzes will account for 20% of the course grade. Late homework will be accepted only by special permission of the instructor. Your worst 2 homework scores will not be counted. For example if we have 12 homeworks, we will count only your best 10 homework scores 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 30% of the course grade and it will be comprehensive.

The 2 tests and final examination are open books and open notes examinations. Smartphones/computers are not allowed.

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.

Linux computer accounts: Linux computer accounts are available on the Linux network in MLH (computer lab rooms B5). To access your Linux computer account remotely. you can use FastX, a graphical Linux virtual desktop environment remotely accessible in your web browser. As long as you have an active Hawk ID and you login at least once in the past year, your CLAS Linux account will remain active. If you fail to use your account in a year, you will receive three notices, and then your CLAS Linux account will be deleted. Also, once your Hawk ID becomes inactive, your CLAS Linux account will be deleted.

Date and Time of the Final Exam: The final examination date and time will be announced by the Registrar generally by the fifth week of classes and it will be announced on the course ICON site once it is known. Do not plan your end of the semester travel plans until the final exam schedule is made public. It is your responsibility to know the date, time, and place of the final exam. According to Registrar's final exam policy, students have a maximum of two weeks after the announced final exam schedule to request a change if an exam conflict exists or if a student has more than two exams in one day (see the policy here).

Communication: UI Email: Students are responsible for all official correspondences sent to their UI email address (uiowa.edu) and must use this address for any communication with instructors or staff in the UI community.

Note on drop-in hours: This is not a private lesson to repeat what was covered in class for students missing classes without a valid justification.

Helper: Ying Liu, office: 325C MLH, mailbox is in 15 MLH (MacLean Hall), e-mail: ying-liu-1@uiowa.edu.

College of Liberal Arts and Sciences (CLAS) Course Policies:

University Policies