The aim of studying and bibliography

The main aim of study:

The general information about the module:

Bibliography required to complete the module

Bibliography used during lectures

1	D. Kicaid, W.Cheney	Analiza numeryczna	WNT, Warszawa .	2006
2	Z. Fortuna, B. Macukow, J. Wasowski	Metody numeryczne	WNT, Warszawa.	2002

Bibliography used during classes/laboratories/others

1

L. Jaroszyński, M. Łanczont

Laboratorium metod numerycznych

Politechnika Lubelska, Lublin .

2014

Bibliography to self-study

1

J. i M. Jankowscy

Przegląd metod i algorytmów numerycznych

WNT, Warszawa.

1988

Basic requirements in category knowledge/skills/social competences

Formal requirements: The student satisfies the formal requirements set out in the study regulations

Basic requirements in category knowledge: Basic knowledge of mathematical analysis and matrix calculations.

Basic requirements in category skills: Ability to solve simple tasks of of mathematical analysis, the ability to perform calculations on arrays, the ability to use the calculator and computer.

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 PRK
01	Student knows the basic methods of numerical integration, and numerical solution of differential equations.	lecture, laboratory	examination the written part	K_U01+ K_U04+ K_K01+	P6S_KO P6S_UK P6S_UU P6S_UW
02	Can to solve numerically a simple problem, using the CAS Maxima.	laboratory	examination the written part	K_W09+ K_W14+ K_U01+ K_K05+	P6S_KK P6S_KO P6S_UO P6S_UU P6S_UW P6S_WG P6S_WK
03	Knows the basic numerical methods for solving equations and systems of linear equations.	lectures, laboratory work	examination the written part	K_U01+ K_U04+ K_K01+	P6S_KO P6S_UK P6S_UU P6S_UW

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 modeling and numerical calculations. Write numbers in the computer. Classification of calculation errors.	W01	MEK02
2	TK02	Direct methods for solving systems of linear equations. The method of Gaussian elimination. Calculations determinants and inverse matrices. Elimination method for systems with tridiagonal matrix. Iterative methods. The methods of successive approximations (simple iteration), Jacobi, Gauss-Seidel.	W01- W02, L01, L02	MEK03
2	TK03	Methods for solving nonlinear equations. Methods bisection, successive approximations (simple iteration), Newton’s, secant. Methods for solving systems of nonlinear equations.	W03-W04, L03,L04	MEK03
2	TK04	Function approximation. Interpolation polynomials of Lagrange and Newton. Estimation of the error of the interpolation polynomial. The method of least squares.	W05, L05	MEK01 MEK02
2	TK05	Numerical integration. Newton-Cotes quadrature. Formulas of rectangles, trapezoids, Simpson. Composite quadrature formulas.	W06, L06	MEK01 MEK02
2	TK06	Methods of numerical solution of the initial value problem for ordinary differential equations. Taylor series and Runge-Kutta methods.	W07, L07	MEK01 MEK02

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Lecture (sem. 2)		contact hours: 15.00 hours/sem.	complementing/reading through notes: 3.00 hours/sem. Studying the recommended bibliography: 3.00 hours/sem.
Laboratory (sem. 2)	The preparation for a Laboratory: 5.00 hours/sem.	contact hours: 15.00 hours/sem.	Finishing/Making the report: 5.00 hours/sem. Others: 5.00 hours/sem.
Advice (sem. 2)	The preparation for Advice: 1.00 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: 2.00 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
Lecture	Written work (tasks).
Laboratory
The final grade	Average rating: written work, class work, project.

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

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