Mathematics 1

Course unit code:

308MAT1

Course unit title:

Mathematics 1

Mode of delivery:

zápočet

Range:

2/T

Type of course unit:

compulsory subject

Level of course unit:

Year of study

1st year

Semester when the course unit is delivered

zimní

Number of ECTS credits allocated:

1

Garant předmětu:

Petr EIBEN

Name of lecturer(s):

Petr EIBEN

Study Objectives:

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 delivery:

Contact instruction

Prerequisites and co-requisites:

Knowledge of mathematics at the pre-college level.

Recommended optional programme 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.

Study materials:

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.

Language of instruction:

Czech

Work placement(s):

Pracovní stáž není u tohoto předmětu zavedena.

Course web page:

Note:

Schedule for winter semester 2011/2012:

	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

Datum	Den	Čas	Tutor	Místo	Notes	Č. paralelky
	Tue	10:40–12:15	EIBEN P.	Učebna 5 Lažanský palác		přednášková par. 1

Schedule for summer semester 2011/2012:

The schedule has not yet been prepared

The subject is a part of the following study plans:

• Zvuková tvorba - bakalář (qualification subject)