Course code Mate5016
Credit points 3
Mathematical Modelling of Processes II
Total Hours in Course81
Number of hours for lectures12
Number of hours for laboratory classes12
Independent study hours57
Date of course confirmation10.02.2016
Responsible UnitInstitute of Mathematics and Physics
Course developers
Svetlana Atslēga
Dr. math.
Datoru sistēmu un datu zinātnes institūts
Tatjana Rubina
Dr. sc. ing.
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.