Analysis and Development of Algorithms

Credits: 2

Semester: 1

Course: Core

Language of the course: Russian

Lecturer

Oleg Zaikin

Objectives

Students will study: the basic equations of mathematical physics and usual tasks for them, the concept of a generalized solution of the problem for a partial differential equation, numerical algorithms for solving problems of algebra, analysis, problems associated with differential equations, methods for realizing computations on modern computers, and basic features of approximate calculations.
Students will learn: to solve problems in discipline by the methods studied and to analyze the solution obtained, apply numerical methods in solving applied problems, estimate the error of the solution obtained, and prove the properties of partial differential equations. Students will acquire knowledge of technologies of application of computational methods for solving specific problems from various areas of mathematics and its applications, the skills of practical evaluation of the accuracy of results obtained in the course of solving various computational tasks, application development skills using the chosen operating system and development environment.

Contents

Main topics of the discipline:

  • The subject and method of computational mathematics. Approximate calculations
  • One-dimensional minimization and approximation of functions
  • Numerical methods of algebra and analysis
  • Integral equations

Format

Lectures and lab sessions

Assessment

Credit