Practicum NMMA706 - Applied differential equations
Dalibor Pražák, LS 2025, Monday 12:20 N4
NEWS:
- There is no practicum on April 21 (Easter). On May 5,
lecture will be given instead of practicum (as I am out of town).
- For practicum on April 28, we will start a new topic: numerical
methods. Please have a notebook (possibly one for several people to share)
and be prepared to write a simple code: generate a sequence of
approximating points and also plot the result (perhaps together
with a graph of an exact solution).
See an example of octave/matlab code: the very last [DEMO]
(numerical methods)
here.
List of theorems from the practicum is
here;
definitions are here
(a nearly final version).
Class log can be found here.
Antiderivative drill (courtesy of K. Kuncová):
Some other materials (however, in Czech only):
- sbírka příkladů z ODR zde
- videa a zápisky z dob karantény
tady
Homework problems.
- homework (solving 1st order ODEs)
[pdf]
-- due Monday March 17
- homework (elementary qualitative analysis)
[pdf]
-- due Monday March 31
- homework (linearizations and stability)
[pdf]
-- due Monday April 14
Problems with * are non-obligatory.
Solutions to selected classroom problems.
- practicum 1 (separated variables)
[pdf]
- practicum 2 & 3 (linear / homogeneous / Bernoulli equations)
[pdf]
[pdf]
- practicum 4 (elementary qualitative analysis)
[pdf]
- practicum 5 (elementary qualitative analysis [2])
[pdf]
- practicum 6 (prime integrals)
[pdf]
- practicum 9 (linear constant coefficients)
[pdf]
- practicum 11 (stability via Lyapunov functions)
[pdf]
Review of symmetries in 1st order ODEs
[pdf].
Credit will be assigned based on 1) regular class attendance
and 2) homeworks.