CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

# Selected Chapters in Applied Mathematics

Code Completion Credits Range Language
17PBRVKM Z,ZK 4 1P+2C Czech
Lecturer:
Jana Urzová (guarantor)
Tutor:
Jana Urzová (guarantor), Svitlana Strunina
Supervisor:
Department of Natural Sciences
Synopsis:

The student is acquainted with extended knowledge of mathematics; the subject matter is practically trained in tutorials.

Requirements:

100% participation in practical exercises,

demonstration of the knowledge mastered by a written test,

passing the examination by the method set.

Syllabus of lectures:

Lectures:

1st week Real and complex numbers, function, limit, continuity.

2nd week Derivatives of functions, properties, importance.

3rd week Extremes of functions, course of functions.

4th week Indefinite integral.

5th week Definite integral.

6th week Polynomial, vector, linear dependence and independence.

7th week Matrix, basic methods of calculation.

8th week Determinants.

9th week Operation with matrices, inversion matrix.

10th week Systems of linear equations.

11th week Random quality, random choice.

12th week Basic statistical terms.

13th week Parameters of distributions.

14th week Tests of hypotheses.

Syllabus of tutorials:

Tutorials:

1st -2nd weeks Real and complex numbers, function, limit, continuity. Function derivative, characteristics, importance. Function extremes, course of functions.

3rd - 4th weeks Definite integral. Indefinite integral.

5th - 6th weeks Polynomial, vector, linear dependence and independence. Matrix, basic methods of calculation.

7th - 8th weeks Operation with matrices, inversion matrix. Determinants.

9th - 10th weeks Systems of linear equations.

11th - 12th weeks Random quantity, random choice, basic statistical terms.

13th - 14th weeks Test of hypotheses. Distribution parameters.

Study Objective:

Targets:

to master basic knowledge within the subject to the extent necessary for the performance of the profession in the branch Radiology Assistant.

Study materials:

J. Tkadlec: Diferenciální a integrální počet funkcí jedné proměnné. ČVUT Praha, 2004

M. Demlová, B. Pondělíček, Lineární algebra, skriptum ČVUT, druhé vydání 2000

P. Olšák: Úvod do algebry, zejména lineární. FEL ČVUT, Praha, 2007. http://math.feld.cvut.cz/skripta/ua/

E. Krajník: Maticový počet. Učební text, Praha, 2005. ftp://math.feld.cvut.cz/pub/krajnik/vyuka/ua/matice.pdf

P. Pták: Introduction to Linear Algebra. ČVUT, Praha, 2005.

P. Pták: Introduction to Linear Algebra. ČVUT, Praha, 1997.

ftp://math.feld.cvut.cz/pub/krajnik/vyuka/ua/linalgeb.pdf

L. Gillman, R.H. McDowell: Matematická analýza, SNTL, Praha, 1980

učební text na internetu (http://math.feld.cvut.cz/mt/index.htm) připravený ČVUT FEL

učební text na internetu Matematika online (http://math.fme.vutbr.cz) připravený VUT Brno, kurz Matematika I

Note:
Time-table for winter semester 2019/2020: