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Mathematical Methods

Course Code:
11MAMY
Academic Degree:
bachelor
Study Programme:
Technology in Transportation and Telecommunications (B1041A040001)
semesterlanguagestudy field / specialization
4czech flagITS Intelligent Transport Systems - B-ITS
Form of Study:
full-time
Credits:
7
Number of Hours:
3 + 3 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:
Ing. Michal Matowicki, Ph.D.
Dr. Ing. Jan Přikryl
Supervising Department:
Department of Applied Mathematics (16111)
Keywords:
Mathematical modeling, state model, statistical learning, regression, classification, regularization, clustering, single- and multicriteria optimization.
Abstract:
Mathematical modeling. The system and its mathematical description. Types of signals. Basic system responses. Convolution. State models. Principle of general / stationary / linear state description. Data measurement. Uncertainty in measured data. Data normalization. Preparation of data for further processing. Linear state model over noisy data. Kalman filter condition estimation. Statistical learning methods. Regression, classification.
Objectives:
The course deals with the theoretical foundations and applications of mathematical algorithms and numerical procedures used in the field of intelligent transport systems. It functions as a basis for follow-up professional subjects in the field of ITS.
Course website
http://zolotarev.fd.cvut.cz/mamy/