Latviešu Krievu Angļu Vācu Franču
Statuss(Neaktīvs) Izdruka Arhīvs(0) Studiju plāns Vecais plāns Kursu katalogs Vēsture

Course title Mathematical Modelling of Processes II
Course code Mate5016
Credit points (ECTS) 3
Total Hours in Course 81
Number of hours for lectures 12
Number of hours for laboratory classes 12
Independent study hours 57
Date of course confirmation 10/02/2016
Responsible Unit Institute of Mathematics and Physics
 
Course developers
Dr. math., asoc. prof. Svetlana Atslēga
Dr. sc. ing., asoc. prof. Tatjana Rubina

Prior knowledge
Mate5015, Mathematical Modelling of Processes I
Course abstract
The aim of this course is to accumulate the knowledge of the mathematical models creation, their application and realization possibilities in the program Matlab, application and development of the programming skills in the decision of different problems using mathematical modelling. Within the course it is supposed to consider examples of different mathematical models, which describe the processes occurring in the nature, living and social systems.
Learning outcomes and their assessment
• knowledge of ordinary differential equations, systems of differential equations, partial differential equations;
• skills solve ordinary differential equations, solve systems of differential equation, reduce ordinary differential equation to systems, find and interpret solutions to equations describing standard physical situations, recognise the three main types of second-order linear partial differential equations, understand the main steps in the separation of variables method, interpret the solution in terms of the physical problem; • competence of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modelling (ability analyze and build mathematical models concerning other area), of aids and tools (ability to make use of and relate to the aids and tools of mathematics, incl. IT) and of communication (ability to communicate in, with and about mathematics).
Compulsory reading
1. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika II daļa. Rīga: Zvaigzne, 1988. 527 lpp.
2. Buiķis A. Matemātiskās fizikas vienādojumi. Pamatjautājumi. Rīga: Latvijas Universitāte, 2003. 57 lpp. 3. Čerāne S. Diferenciālvienādojumi un modeļi. 1999.
Further reading
1. Volodko I. Augstākā matemātika. II daļa. Rīga: Zvaigzne ABC, 2009. 396 lpp.
2. Черненко В. Д. Высшая математика в примерах и задачах: Учебное пособие для вузов. В 3 т.: Т. 2. – СПб: Политехника, 2003. 477 с. 3. Черненко В. Д. Высшая математика в примерах и задачах: Учебное пособие для вузов. В 3 т.: Т. 3. – СПб: Политехника, 2003. 476 с.