An Introduction to Mathematics - MS710P03A
Title: Základy matematiky
Guaranteed by: Institute of Applied Mathematics and Information Technologies (31-710)
Faculty: Faculty of Science
Actual: from 2013
Semester: winter
E-Credits: 4
Examination process: winter s.:
Hours per week, examination: winter s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Is provided by: MS710P56
Note: enabled for web enrollment
Guarantor: RNDr. Václav Kotvalt, CSc.
Teacher(s): RNDr. Hana Hladíková, Ph.D.
RNDr. Filip Konopka
RNDr. Václav Kotvalt, CSc.
Mgr. Jana Němcová, Ph.D.
RNDr. Jana Rubešová, Ph.D.
Incompatibility : MS710P00, MS710P01, MS710P02, MS710P03B, MS710P04A, MS710P04B
Interchangeability : MS710P01, MS710P02, MS710P03B, MS710P04A, MS710P52, MS710P56, MUMP001, NMUM101
Is co-requisite for: NFPL302
Is incompatible with: MS710P02, MS710P00, MS710P03B, MS710P01
Is interchangeable with: MS710P03B, MS710P00
Opinion survey results   Examination dates   Schedule   
Annotation -
An introduction to the theory of linear algebra, differential calculus (real functions of one or two real variables) and integral calculus (functions of one variable only). The ordinary differential equations of the first order.
Last update: Rubešová Jana, RNDr., Ph.D. (06.01.2003)
Literature - Czech

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

Libuše Fuchsová: Matematika pro nematematické obory I. - Skriptum UJEP Brno, 1984.

Libuše Fuchsová, Jaromír Vosmanský: Matematika pro nematematické obory II. - Skriptum UJEP Brno, 1985.

Naděžda Krylová, Milan Štědrý: Sbírka příkladů z matematiky I. - PřF UK Praha, 1994.

Antonín Hlaváček: Sbírka řešených příkladů z vyšší matematiky I. - SPN Praha, 1965.

Antonín Hlaváček, Petr Dolanský: Sbírka řešených příkladů z vyšší matematiky II. - SPN Praha, 1965.

Last update: Rubešová Jana, RNDr., Ph.D. (06.01.2003)
Requirements to the exam - Czech

zkouška písemná s možností ústního dozkoušení

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

1. Linear algebra: systems of linear equations (Gaussian elimination), operations with matrices, determinants (Cramer's rule), linear independence of vectors, rank of a matrix.

2. Functions of one variable: properties and graphs of polynomials, rational, power, exponential and logarithmic functions, trigonometric and inverse trigonometric functions.

3. Differentiation: limit and continuity, derivative and its applications (curve sketching).

4. Functions of two variables: partial and total derivatives, their significance and applications (maximum and minimum problem, least squares technique).

5. Integration: the indefinite integral and integration techniques (substitution, integration by parts), the definite integral and its geometric applications.

6. Ordinary differential equations: variables separable and linear first order equations, modelling of simple biological, (bio)chemical and physical processes.

Last update: Rubešová Jana, RNDr., Ph.D. (26.04.2002)