Mathematical Models | Centre for Joint Academic Programmes

Level: Master

Semestre: 2nd

ECTS: 5

Working Hours:

- Lectures: 32

- Practice Work: 32

- Exam: 36

- Self-study: 80

- Total: 180

Language of Instruction: English, Russian

Author of the Course: Andrey A.Bart

Lecturers: Andrey A. Bart, Vladislava V. Churuksaeva

Objectives:

- Studying complementary chapters of mathematical analysis;

- Extremely high activation of students' self-tuition.

Learning Outcomes:

- know basic stages of constructing mathematical models;

- be able to describe objects and statements of a knowledge domain;

- master methods of describing objects and patterns of a subject domain;

- know urgent and important problems of fundamental and applied mathematics;

- be able to solve urgent problems of applied mathematics;

- master methods of solving urgent and significant problems of fundamental and applied mathematics;

- know the basic stages and principles of constructing mathematical models;

- be able to compare the results of numerical simulation with data of instrumental measurements and results of other authors;

- master methods of constructing and analysing new mathematical models of physical and biological processes;

- know the place of mathematical modeling among the methods of scientific cognition;

- be able to apply methods of mathematical modeling to research work;

- master methods of mathematical modeling in research work;

- know the main stages of research and production work;

- be able to write a requirements specification for research and production work;

- know the rules and types of public presentation of scientific results;

- be able to clearly and reasonably express their own thoughts;

- master mathematical concepts and vocabularies of subject domains when presenting scientific results;

- know modern computer architectures;

- be able to use modern libraries for high-performance computing;

- master methods of constructing algorithms implementing modern numerical methods.

Assessment Methods:

Written and Oral Tests, Individual Task, Project, Oral Exam.