Mathematics

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:

Žádné další nepovinné vzdělávací složky.

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 2013/2014:

	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)
Fri
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 2013/2014:

The schedule has not yet been prepared

The subject is a part of the following study plans:

• Sound Design - Bachelor (qualification subject)