Math 266 ODE

Instructor: Zecheng Zhang

Office: Math 415

Email: zecheng.zhang.math@gmail.com

Office hour: 1:00 pm to 2:30 pm Tues; 4:00 pm to 5:30 pm Wed. I may change my office hours but I will let you know. You can also email me to make an appointment.

Course information

The syllabus is available here. Additional information such as the office hours... can be found in this page.
A tentaive schedule of the course is avaiable here.
The homework information is available here; we have one or two homeworks for each section, the due date is usually one week after the topic is discussed. Please check the schedule for the details.
We use MyLab for the online homework and Gradescope for the written homework.
We have two midterms. The first is on Oct 5, 2021 at 8:00 pm; it covers Section 1.1–1.6, 2.1–2.5, 3.1–3.3.
The second is on Nov 9, 2021 at 8:00 pm; it covers Section 3.4–3.6, 4.1–4.2, 5.1–5.6
Class notes

I will upload the class notes in this section.
  • Week 1, Aug 24 sec 1.1 , sec 1.2 . Aug 26 sec 1.3
  • Week 2, Aug 31 sec 1.4 (separable equation), sec 1.5 (integrating factor, updated). Sept 2, sec 1.6 (homogeneous equation and substitution)
  • Week 3, Sept 7 exact equation, second order equation, sec 2.1, sec 2.2 (updated, critical points and stability)
  • Week 4, Sept 14 sec 2.3 (acceleration and velocity), sec 2.4 (Euler method, updated with improved Euler`s method). Sept 16, sec 3.1 and sec 3.2 (2 nd and higher order linear ODE)
  • Week 5, Sept 21 sec 3.3. Sept 23 sec 3.4 spring and dashpot
  • Week 6, Sept 27, 29 midterm review (complete)
  • Week 8, Oct 14 sec 3.5 nonhomogeneous equations
  • Week 9, Oct 19 sec 3.6 (application of nonhomogeneous equation), sec 4.1 (intro to the system of ODEs). Oct 21, sec 4.2 (method of elimination)
  • Week 10, Oct 26 sec 5.1 (review of linear algebra). sec 5.2 (eigenvalue method, distinct real, complex, phase plane diagram)
  • Week 11, Nov 2 sec 5.5.
  • Week 12, Nov 11 sec 5.6 exponetial of matrix
  • Week 13, Nov 16 sec 5.7 nonhomogeneous system, sec 7.1 Laplace transform, sec 7.1 cont Laplace transform and inverse, sec 7.2 solve ODE using Laplace transform (updated)
  • Week 15, Nov 30 sec 7.3 , sec 7.4 (updated), sec 7.5 + sec 7.6
  • Final (spring 2017 final) Dec 7 final 1 ,
  • Final Dec 9 (spring 2017 final) final 2 (spring 2017 final) ,Final (spring 2017) rest of the problems rest , Final formula (This is NOT given in the exam and you cannot bring this with you in your exam!) formula , Laplace Laplace

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