(in Polish) Metody numeryczne

mathematics

elementary

lecture: I2_W03, I2_U01

laboratory: I2_U02, I2_U03, I2_U06

linear algebra, mathematical analysis, basics of programming, algorithms and data structures

The aim of the course is to present the principles of computer calculations on the example of basic tasks: solving nonlinear and linear equations, ordinary and partial differential equations, quadratures.

The aim of the course is to introduce computer calculations. Floating-point arithmetic and selected numerical algorithms will be discussed. The laboratory serves to deepen the content presented during the lecture, in particular the use of learned methods in medicine, physics, chemistry, sociology, physics and technical sciences.

Will be discussed:

1. Floating-point arithmetic

2. Methods for solving nonlinear equations

3. Methods for solving systems of linear equations

4. Methods of solving ordinary differential equations

5. Methods for solving partial differential equations

6. Quadratures

D. Kincaid, W. Cheney, Analiza numeryczna, Wydawnictwa Naukowo-Techniczne, Warszawa 2006. ISBN 83-204-3078-X

A. Björck, G. Dahlquist, Metody numeryczne, Państwowe Wydawnictwo Naukowe, Warszawa 1987. ISBN 83-01-04276-1

LECTURE

W1 - The student knows and understands the limitations of the accuracy of numerical calculations (I2_W03).

W2 - The student knows and understands the definitions, theorems and basic proof techniques discussed during the lecture (I2_W03).

W3 - The student knows and understands the computational methods presented during lectures (I2_W03).

U1 - The student is able to estimate the size of the error and the computational cost of the methods presented during lectures (I2_U01).

LAB

U1 - The student is able to use the selected numerical package or numerical library (I2_U02, I2_U03).

U2 - The student is able to write the code of selected numerical algorithms and estimate their cost and error size (I2_U06).

The following evaluation criteria are adopted for all effects in all forms of verification:

rating 5: fully achieved (no noticeable shortcomings),

rating 4.5: almost fully achieved and the criteria for awarding a higher rating are not met,

grade 4: achieved to a significant extent and the criteria for awarding a higher grade are not met,

grade 3.5: achieved to a significant extent - with a clear predominance of positives - and the criteria for awarding a higher grade are not met,

rating 3: achieved for most cases covered by the verification and the criteria for awarding a higher rating are not met,

grade 2: not achieved for most cases under review.