Mathematics I - MS710P00
Title: Matematika I
Guaranteed by: Institute of Applied Mathematics and Information Technologies (31-710)
Faculty: Faculty of Science
Actual: from 2013
Semester: winter
E-Credits: 5
Examination process: winter s.:
Hours per week, examination: winter s.:2/2, C+Ex [HT]
Capacity: 100
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Is provided by: MS710P54
Note: enabled for web enrollment
Guarantor: RNDr. Václav Kotvalt, CSc.
Teacher(s): RNDr. Filip Konopka
RNDr. Alena Šmejkalová, CSc.
Incompatibility : MS710P02, MS710P03A, MS710P03B, MS710P04A
Interchangeability : MS710P02, MS710P03A, MS710P03B, MS710P04A
Is co-requisite for: MS710P01
Is incompatible with: MS710P03B, MS710P04A, MS710P03A, MS710P02
Opinion survey results   Examination dates   Schedule   
Annotation -
Lectures on mathematics for geological programmes. Main concepts of linear algebra. Matrices, determinants, sets of linear equations. Analytical geometry (three dimensional). Differential calculus (part 1).

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

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

L. Hradilek, E. Stehlík: Matematika pro geology I. Učební text, SPN 1988

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

Last update: Rubešová Jana, RNDr., Ph.D. (03.04.2006)
Requirements to the exam - Czech

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

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

Matrices and determinants. Basic concepts and properties, matrix algebra, evalaution of determinants, eigenvalues and eigenvectors of a matrix.

Sets of linear equations.Homogeneous and nonhomogeneous equations, their properties. Methods of solving.

Analytic geometry (three - dimensional). Space coordinates (Cartesian, cylindrical, spherical). Plane, straight line.Quadric surfaces.

Functions of real variables. Limits. Continuity.

Differential calculus (part 1). Derivative of a function. Geometric meaning of a derivative. Differential formulas. Basic theorems on differentiable functions. Higher derivatives and Leibnitz's formula.

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