Course Announcement

Course number and title: Math 6410 - Ordinary Differential Equations

Semester and year: Fall 2020

Instructor: J. P. Keener; Website:; Email:; Office: LCB 314

Accessibility: Contact me primarily by email, to set up zoom meetings, etc.

Place: - I will post the zoom location here eventually.

COVID-19 Considerations: Students must self-report if they test positive for COVID-19 via

Course Description:

This is a graduate course, one of the courses identified as a prelim course.

Course Details:

Course type: Interactive Video Conferencing via zoom (IVC - synchronous online)

Location & meeting times: Canvas; Time: 12:55-1:45; days: MWF


Exam Dates: Final exam will be held during the regularly schedule time for this class Friday, December 11, 2020 1:00-3:00 pm.

Holidays: There will be no class on Monday, September 7 (Labor Day) and November 26-29 (Thanksgiving break).

Course materials:


  • Gerald Teschl, Ordinary Differential Equations and Dynamical Systems (AMS 2012) available online at

    Course syllabus: We will cover the first 9 chapters of the text, in the order presented in the book.

  • Other References:

  • D. G. Schaeffer and J. W. Cain, Ordinary Differential Equations: Basics and Beyond, Springer, 2016.
  • Additional course materials: On request, Lecture notes will be posted.

    Exams: Because this course is identified as a prelim course, there will have to be exams. So, the homework problems will be viewed as midterm takehome exams and there will be a final exam, the style of which is yet to be determined. Homework assignments will be posted and updated regularly at this .pdf file, and the solution to previous exercises will be posted here.

    Additional Notes: (added as needed)

    A sample Matlab code to solve an ode sample_ODE_solver.m.

    A sample Maple code to find periodic solutions of Mathieu's equation near delta = 4 maple_mathieu_d4.mpl.

    A sample Maple code to find power series solutions of the differential equation w'+w^2=z is in series_solns_of_DEs.mpl.

    For more information contact J. Keener, 1-6089


    Technical requirements:

    Students are expected to be computer literate and Canvas and zoom navigation skills are expected. Knowledge and navigation of canvas and zoom is critical to access all features and resources of this course. A strong internet connection and adequate bandwidth is needed for zoom sessions.

    Matlab and Maple/Mathematica semi-proficiency will be expected, as homework assignments will include numerical and analytical computations using those software tools.


    Students are encouraged to review the Student Code for the University of Utah: In order to ensure that the highest standards of academic conduct are promoted and supported at the University, students must adhere to generally accepted standards of academic honesty, including but not limited to refraining from cheating, plagiarizing, research misconduct, misrepresenting one's work, and/or inappropriately collaborating. A student who engages in academic misconduct as defined in Part I.B. may be subject to academic sanctions including but not limited to a grade reduction, failing grade, probation, suspension or dismissal from the program or the University, or revocation of the student's degree or certificate. Sanctions may also include community service, a written reprimand, and/or a written statement of misconduct that can be put into an appropriate record maintained for purposes of the profession or discipline for which the student is preparing.


    Inclusivity Statement: It is my intent that students from all diverse backgrounds and perspectives be well served by this course, that students? learning needs be addressed both in and out of class, and that the diversity that students bring to this class be viewed as a resource, strength and benefit. It is my intent to present materials and activities that are respectful of diversity: age, color, disability, gender, gender identity, gender expression, national origin, political affiliation, race, religion, sexual orientation, and veteran status, and other unique identities. gender, sexuality, disability, age, socioeconomic status, ethnicity, race, culture, and other unique identities. Your suggestions are encouraged and appreciated. Please let me know ways to improve the effectiveness of the course for you personally or for other students or student groups. In addition, if any of our class meetings conflict with your religious events, please let me know so that we can make arrangements for you.

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