ukraine ifo

Faculty of Transportation Sciences

ctu logo

  1. Home
  2. Current Students
  3. Courses
  4. Information about course: ITS Mathematical Tools

ITS Mathematical Tools

Course Code:
11MAI
Academic Degree:
master
Study Programme:
Intelligent Transport Systems (N1041A040007)
semesterlanguage
1czech flag
Form of Study:
full-time
Credits:
4
Number of Hours:
2 + 2 hours per week - in full-time study
Type of Course:
obligatory
Course Completion:
credit, exam
Supervisor:
Dr. Ing. Jan PŘIKRYL
Course Tutor:
 
roh  Lectures:
Dr. Ing. Jan Přikryl
roh  Training Course:
Dr. Ing. Jan Přikryl
Supervising Department:
Department of Applied Mathematics (16111)
Keywords:
Signal, DFT, STFT, localization, spectrogram, ODE, PDE, statistical modelling, mathematical models of traffic flow.
Abstract:
Series, Fourier Series. Discrete Fourier Transform. Segmentation of signals, windows, localization. Short-term Fourier Transform. From Fourier Analysis to PDE. Fundamentals of Numerical Mathematics. Numerical solutions to ODEs and PDEs. Continuous traffic flow models described by PDE. Car-following models as ODEs.
Objectives:
Mastering Fourier series for signal analysis, use of STFT for non-stationary signals, knowledge of the use of spectrograms. Fundamentals of numerical solution of ordinary and partial differential equations occurring in traffic flow models.
Course website
http://zolotarev.fd.cvut.cz/mni/ctrl.php?act=show,section,51