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

Course title Modelling of biological processes II
Course code Mate5014
Credit points (ECTS) 3
Total Hours in Course 81
Number of hours for lectures 16
Number of hours for laboratory classes 16
Independent study hours 49
Date of course confirmation 15/06/2011
Responsible Unit Institute of Mathematics and Physics
 
Course developers
Dr. math., asoc. prof. Svetlana Atslēga
Dr. sc. ing., asoc. prof. Tatjana Rubina

There is no prerequisite knowledge required for this course
 
Course abstract
The aim of this course is to accumulate the knowledge of the mathematical models creation, their applications, 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 and living systems.
Learning outcomes and their assessment
• knowledge of ordinary differential equations, systems of differential equations, partial differential equations;
• skills to 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; • competences: of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modeling, of aids and tools and of communication.
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. Nav LLU FB. Ir grāmata - Čerāne S. Diferenciālvienādojumi. Rīga: LU, 2000. 196 lpp. 1 eks.
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.