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Introductory seminar on mathematics I - NMUM161

Title:	Matematický proseminář I
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2012 to 2013
Semester:	winter
E-Credits:	2
Hours per week, examination:	winter s.:0/2, C [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Note:	course can be enrolled in outside the study plan

Guarantor:	prof. RNDr. Martina Bečvářová, Ph.D.
Class:	M Bc. MZV M Bc. MZV > Doporučené volitelné M Bc. MZV > 1. ročník
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Interchangeability :	NUMV063

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KDM (03.05.2012)

The seminar is open to all students from the first year. It helps them to obtain an overview of subjects of high school mathematics (elementary functions, complex numbers, coordinate geometry, methods of proof). Problems with mathematical language, notation, symbolic exposition and logic will be discussed. Interesting and unusual problems will be solved.

Literature -

Last update: RNDr. Vlasta Moravcová, Ph.D. (01.10.2018)

Contemporary mathematical textbooks for high schools and books of mathematical problems.

Teaching methods -

Last update: RNDr. Vlasta Moravcová, Ph.D. (01.10.2018)

Seminar, homeworks.

Syllabus -

Last update: RNDr. Vlasta Moravcová, Ph.D. (01.10.2018)

Functions - elementary functions, definitions, properties, graphs.

Equations - some methods of solving algebraic, logarithmical, exponential and trigonometric equations.

Complex numbers - definitions, operations.

Coordinate geometry in space - equations of some objects, properties, angles and distances etc.

Combinatorics, probability and mathematical statistics.

Mathematical language - definition, axiom, theorem, proposition, proof, types of proofs, notation, symbolical exposition.

Interesting problems.