COURSE TITLE
FACULTY/INSTITUTE
COURSE CODE
DEGREE PROGRAMME
FIELD OF STUDY
COMPUTER SCIENCE
COURSE FORMAT
YEAR AND SEMESTER
NAME OF THE TEACHER
1
SYLLABUS
NUMERICAL METHODS
Faculty of Mathematics and Natural Sciences /
Institute of Computer Science
DEGREE LEVEL
YEAR 2, SEMESTER I
FORMA STUDIÓW/STUDY
MODE
FULL-TIME STUDIES
Piotr Romanowski, PhD, Eng
COURSE OBJECTIVES
1.
Error – total derivative.
2.
Numerical solution of polynomial equations.
3.
Lagrangian interpolation and least-squares approximation.
4.
Numerical differentiation and integration.
5.
Solution of Nonlinear Equations f(x) = 0.
6.
Solution of Linear Systems AX = B.

Gaussian Elimination.
 Iterative Methods for Linear Systems.
7.
Solution of Differential Equations.
 Eulers Method.
 Taylor series.
 Runge-Kutta Methods.
8.
Finite differences method.
.
PREREQUISITES
LEARNING OUTCOMES
Basics of procedural programming (Java/C), basic Excel.
KNOWLEDGE:
A student receives practical knowledge and skills from using of the chosen numerical methods.
SKILLS:
FINAL COURSE OUTPUT - SOCIAL COMPETENCES

COURSE ORGANISATION –LEARNING FORMAT AND NUMBER OF HOURS
Laboratory – 30 hours
Participation in consultation – 10 hours
Preparing for class – 35 hours
COURSE DESCRIPTION
Most important algorithms for the numerical solutions of applied mathematics problems.
The tools: Java language (or C), Matlab and Excel with Solver programs are used.
METHODS OF INSTRUCTION Laboratory and
REQUIREMENTS AND ASSESSMENTS consultation
The examination of the knowledge of numerical method algorithms.
GRADING SYSTEM The examination of the course is based on the project prepared implementing the selected solution to the
TOTAL STUDENT WORKLOAD
NEEDED TO ACHIEVE EXPECTED
LEARNING OUTCOMES EXPRESSED
IN TIME AND ECTS CREDIT POINTS
LANGUAGE OF INSTRUCTION
INTERNSHIP
MATERIALS numerical method problems.
Laboratory – 30 hours
Participation in consultation – 10 hours
Preparing for class – 35 hours
ECTS - 4
ENGLISH
PRIMARY OR REQUIRED BOOKS/READINGS:
Numerical Mathematics & Computing (Edition 5) , by
Ward Cheney and David Kincaid, Brooks/Cole, 2004.

(ISBN 0-534-89993-7)
WEB PAGES
SUPPLEMENTAL OR OPTIONAL BOOKS/READINGS:
Student Solutions Manual for Numerical Mathematics
& Computing (Edition 5) , by Ward Cheney and David
Kincaid, Brooks/Cole, 2004. (ISBN 0-534-39004-8)