Math 3331 (section 16481, f2f)
Summer 2024 (July 8 - Aug. 7)

Intermediate Differential Equations

• Classes: MoTuWeThFr, noon-2pm, room S 101
• Prerequisite: MATH 2415 (Calculus III) and MATH 2318 (Linear Algebra).
• Course information: will be posted on the course web-page, that can be accessed from http://www.math.uh.edu/~torok under "Teaching" and Canvas.

  NOTE:

  • I will send e-mails from my.uh.edu, please have a correct e-mail address listed there (you might have a few UH email addresses by now - @cougarnet.uh.edu, @uh.edu, etc. - make sure you receive them all)

• Course description
  • Textbook: Differential Equations (with Boundary Value Problems), Second Edition, by J. Polking, A. Boggess and D. Arnold. Prentice Hall, 2006
  • Brief Description: The course will cover Chapters 1 to 9 of the textbook (Chapter 7 is a review of Matrix Algebra).
    
    Topics include existence, uniqueness and stability of solutions for ordinary differential equations (ODEs), solving some classes of first and higher order ODEs, solutions using the Laplace transform, numerical methods, systems of linear ODEs.
    
    Department course description.
  • Policy (to come)
    
    Rough summary:
    • 1 midterm and the final exam
    • final exam according to the UH Final exam schedule
    • assignments: homeworks (to be submitted online), quizzes (in class)
  • I will post some notes, reading assignments, homeworks, etc.
• Instructor: Andrew Török
  • Office: PGH 672
  • Phone: (713) 743-3478 (but not a good way to reach me)
  • E-mail: see the home page
  • Office hours: see the Teaching page; by appointment, send an e-mail or let me know in class;
    in general, can meet most days after class;
    can also have online office hours.
• TA: Cristian Meraz
  • Office: TBA
  • Tutoring hours (at CASA): TBA
  • contact: cmeraz at cougarnet dot uh dot edu
• UH CAPS Statement

  Counseling and Psychological Services (CAPS) is free, 24/7 mental health support for all students. We can help with a range of concerns such as, managing stress, adjusting to college, or feeling sad and hopeless. You can learn more about CAPS by visiting our website, uh.edu/caps; calling our office 713-743-5454; or dropping into one of our Let's Talk locations, uh.edu/caps/outreach/lets-talk. After business hours, you can access the on-call clinician by calling, 713-743-5454.

• Extra (free) help:
  • Tutoring offered by the Math Dept:
    • CASA, 222 Garrison Gym, http://www.casa.uh.edu/casa/ (look under Tutoring Center)
    • See also this link; note that MUSL might not be running in the summer
  • LAUNCH (called earlier Learning Support Services), N109 Cougar Village (bldg. 563), (713) 743-5411, http://www.uh.edu/ussc/launch
• Free computer programs for solving/visualizing ODE's (and doing linear algebra):
  • plotting solutions of differential equations in dimensions 1 and 2
    • dfield and pplane, graphic tools for numerical solution of ODEs in 1 and 2 dimensions, in Java.
      Developed for MATLAB by John C. Polking, Department of Mathematics, Rice University (see details in the link above).
      
      I recommend the Java version. Last time I tried the MATLAB code, it did not work with the current Matlab.
  • Matlab can be downloaded for free by UH students from UH Software Downloads
  • Octave, https://octave.org/, available for Linux, Windows and Mac
  • Octave is "compatible" with MatLab, meaning that simple code runs interchangeably on both. However, the ODE solvers might have a slightly different syntax.
  • A Matlab/Octave help-page; for what we are doing, Matlab/Octave are essentially the same.

Notes

Assignments

• The homeworks have to be submitted online, at CANVAS. Details to come.
• The grader will DEDUCT POINTS for:
  • problems or pages out of order; problems that are not written in order or broken up in more parts may not be graded (finish a problem before starting the next one)
  • pages not neat and plain
  • pages submitted with the wrong orientation
  • papers scanned in with a camera in poor lighting or with too low resolution
  • otherwise unprofessional submissions
  • work not properly shown
  • also please circle your final results
• Hand in only the problems in the "TO DO" column.
• Try to also solve the ones from the "Optional" column, they may refer to other aspects.
• Some of the problems have the answer or a hint in the textbook. If you have to hand in such a problem, you are welcome to use the hint but have to still write a complete solution.
  Even if you have the answer in the book, you must show your work in order to get credit.