The aim of studying and bibliography

The main aim of study:

The general information about the module: The module contains the content of methods of solving linear and nonlinear systems equations, interpolation, numerical integration, solving the initial value problems for ordinary differential equations.The module contains the content of methods of solving linear and nonlinear systems equations, interpolation, numerical integration, solving the initial value problems for ordinary differential equations.

Bibliography required to complete the module

Bibliography used during classes/laboratories/others

1	Калиткин Н.Н.	Численные методы.	М.:Наука.	1978
2	Ортега Дж., Пул У.	Введение в численные методы решения дифференциальных уравнений.	М.:Наука.	1986.
3	Mikłaszewska N.E., Mikłaszewski R.I.	Słownik matematyczny polsko-rosyjski	M.:Fizmatgiz.	1963

Bibliography to self-study

1

Самарский А.А., Гулин А.В.

Численные методы

М.:Наука.

1989

Basic requirements in category knowledge/skills/social competences

Formal requirements:

Basic requirements in category knowledge:

Basic requirements in category skills:

Basic requirements in category social competences:

Module outcomes

MEK	The student who completed the module	Types of classes / teaching methods leading to achieving a given outcome of teaching	Methods of verifying every mentioned outcome of teaching	Relationships with KEK	Relationships with OEK
01				K_W02+ K_W04+ K_W13+++ K_U02+++ K_U03+ K_U04+ K_U13+ K_U14+ K_U15+ K_U16+ K_U17++ K_K01+ K_K02++ K_K04+ K_K06++ K_K07+	X2A_W01 X2A_W02 X2A_W03 X2A_W06 X2A_U01 X2A_U02 X2A_U03 X2A_U04 X2A_U05 X2A_U06 X2A_U07 X2A_U08 X2A_U09 X2A_K01 X2A_K02 X2A_K03 X2A_K04 X2A_K06

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

The syllabus of the module

Sem.	TK	The content	realized in	MEK
2	TK01	Mathematical models and numerical methods. Direct methods for solving systems of linear equations. Gaussian elimination. Calculating the determinant and matrix inversion. Iterative methods for solving systems of linear equations.	C01-C04	MEK01
2	TK02	Numerical solution of nonlinear equations and their systems	C05-C08	MEK01
2	TK03	Approximation of function. Lagrange's and Newton's interpolation polynomials. Estimation of error for interpolation polynomial. The method of least squares for approximation functions. Numerical differentiation.	C09,C10	MEK01
2	TK04	Numerical integration. Newton and Cotes quadrature. Composite Newton and Cotes quadrature.	C11,C12	MEK01
2	TK05	Methods of numerical solution of the initial value problem for ordinary differential equations	C13-C15	MEK01

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Class (sem. 2)	The preparation for a Class: 15.00 hours/sem.	contact hours: 30.00 hours/sem.
Advice (sem. 2)	The preparation for Advice: 2.00 hours/sem.	The participation in Advice: 1.00 hours/sem.
Credit (sem. 2)	The preparation for a Credit: 5.00 hours/sem.	The written credit: 1.00 hours/sem.

The way of giving the component module grades and the final grade

The type of classes	The way of giving the final grade
Class	Written work (tasks). Working in the classroom
The final grade	Average rating: written work(70%), work in the classroom (30%)

Sample problems

Required during the exam/when receiving the credit
kolok3.pdf

Realized during classes/laboratories/projects
Zad2.pdf

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile: no