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ACADEMY OF PERFORMING ARTS IN PRAGUE

Mathematics

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Code Completion Credits Range Language Instruction Semester
308MAT ZK 2 2/T Czech winter
Subject guarantor:
Petr EIBEN
Name of lecturer(s):
Petr EIBEN
Learning outcomes of the course unit:

The course aim is to introduce issues of mathematics as the basis from which students pull knowledge for understanding the inherent laws of electro-acoustics, whose knowledge is necessary for the study and related technical courses.

Mode of study:

Contact instruction

Prerequisites and co-requisites:

Knowledge of mathematics at the pre-college level.

Recommended optional programme components:
No further recommended optional study components.
Course contents:

1. Real number sets, their characteristics. Complex number sets. Concept of the real function of one or more variables. Even, odd and periodic number functions. Inversion and complex functions.

2. Function limits and their characteristics. Point and interval function linkages. Fundamental elementary functions: powers, exponential, logarithmic, goniometric, cyclometric and hyperbolic functions.

3. Derivative functions, their geometric and physics significance. Sum, product, fraction derivation functions and complex functions. Inversion derivations functions. Elementary derivation function. Higher order dervation, Partial derivation.

4. Lagrange's mean value theorem. L' Hopital's rule. Local and absolute extreme functions. Taylor's formula. Maclaurin's elementary function polynomials

5. indefinite integral. Primitive functions and their basic characteristics and calculation. By parts and substitutive methods. Examples.

Recommended or required reading:

Bílek, T.: Matematika I., II., Učební text ČVUT 1982, 1983

Nagy, J. : Elementární metody řešení obyčejných diferenciálních rovnic.

Planned learning activities and teaching methods:
Assessment methods and criteria:

Oral verification of knowledge of the material.

Course web page:
Note:
Schedule for winter semester 2014/2015:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
místnost 308
Učebna 5

(Lažanský palác)
EIBEN P.
10:40–12:15
(přednášková par. 1)
Wed
Thu
Fri
Date Day Time Tutor Location Notes No. of paralel
Tue 10:40–12:15 EIBEN P. Učebna 5
Lažanský palác
přednášková par. 1
Schedule for summer semester 2014/2015:
The schedule has not yet been prepared
The subject is a part of the following study plans:
Generated on 2015-06-16