Modelling of biological processes II

Total Hours in Course81

Number of hours for lectures16

Number of hours for laboratory classes16

Independent study hours49

Date of course confirmation15.06.2011

Responsible UnitInstitute of Mathematics and Physics

Course developers

Matemātikas un fizikas institūts

Svetlana Atslēga

Dr. math.

Datoru sistēmu un datu zinātnes institūts

Tatjana Rubina

Dr. sc. ing.

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.

Atsauksmes