ITS Mathematical Tools

Course Code:
11MAI
Academic Degree:
master
Study Programme:
Technology in Transportation and Telecommunications (N 3710)
semesterlanguagestudy field / specialization
1czech, englishIS Intelligent Transport Systems - 3711T004
Erasmus:
course for Erasmus and Exchange students in winter semester
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
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, 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.