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Mathematics II - MS710P01

Title:	Matematika II
Guaranteed by:	Institute of Applied Mathematics and Information Technologies (31-710)
Faculty:	Faculty of Science
Actual:	from 2013
Semester:	summer
E-Credits:	5
Examination process:	summer s.:
Hours per week, examination:	summer s.:2/2, C+Ex [HT]
Capacity:	120
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Is provided by:	MS710P55
Note:	enabled for web enrollment

Guarantor:	RNDr. Václav Kotvalt, CSc.
Teacher(s):	RNDr. Filip Konopka RNDr. Alena Šmejkalová, CSc.
Co-requisite :	MS710P00
Incompatibility :	MS710P02, MS710P03A, MS710P03B
Interchangeability :	MS710P55
Is incompatible with:	MS710P02, MS710P03B, MS710P04A, MS710P03A
Is interchangeable with:	MS710P03A, MS710P03B

Opinion survey results Examination dates Schedule

Annotation -

Last update: RNDr. Jana Rubešová, Ph.D. (23.04.2002)

Lectures on mathematics for geological programmes. Differential calculus (part 2). Integral calculus: indefinite integral, definite integral, improper integral. Numerical integration. Ordinary differential equations: first order equations, second order linear equations.

Literature - Czech

Last update: RNDr. Jana Rubešová, Ph.D. (06.01.2003)

Kotvalt, V.: Základy matematiky pro biologické obory. Skriptum UK Praha, 1997, 1999, 2001.

Hradilek L., Stehlík E.: Matematika pro geology I. SNTL, 1990, 426 str.

Hradilek L., Stehlík E.: Matematika pro geology I. SPN, 1985, 338 str.

Hradilek L., Stehlík E.: Matematika pro geology II. SPN, 1986, 329 str.

Requirements to the exam -

Last update: RNDr. Václav Kotvalt, CSc. (17.04.2012)

zkoušku je možné absolvovat jen se získaným zápočtem (zpravidla se uděluje za úspěšné splnění zápočtového testu)

zkouška písemná + ústní

k postupu k ústní zkoušce je třeba napsat písemku alespoň na 6 bodů z 12 možných

při neúspěšné ústní zkoušce se písemka píše znovu

u druhého opravného termínu proběhne ústní zkouška vždy

Syllabus -

Last update: RNDr. Jana Rubešová, Ph.D. (23.04.2002)

Differential calculus (part 2). Partial derivatives, geometric imterpretation. Total differential, use in estimating errors in calculations. Maxima and minima of functions of one and several variables.

Least squares method.

Investigating the behaviour of a function. Convexity and concavity of a curve. Points of inflection.

Integral calculus. The indefinite integral. Table of integrals. Integration of rational functions, substitution method, integration by parts. The definite integral. Basic properties of the definite integral. Improper integrals. Numerical integration.

Ordinary differential equations. First order equations: variables separable, the linear equation.

Linear second order equations: basic properties, solving equations with constatnt coefficients.