Mathematics 2

Course unit code:

308MAT2

Course unit title:

Mathematics 2

Mode of delivery:

zkouška

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

letní

Number of ECTS credits allocated:

2

Garant předmětu:

Petr EIBEN

Name of lecturer(s):

Petr EIBEN

Study Objectives:

The aim of the course is to introduce students to the issues of math as a basis on which the student can pull knowledge for understanding the nature of electro-acoustics whose knowledge is necessary for related technical subject study.

Mode of delivery:

Contact instruction

Prerequisites and co-requisites:

Completion of „Mathematics 1“

Recommended optional programme components

Course contents:

1. Fixed integral. Probability definition of the fixed integral, its basic characteristics. The Newton - Leibnitz Formula. Geometric and physical application of the fixed integral. Calculation examples.

2. Series. Succession and its limits. Number series and its probability. Convergence and divergence series, criteria. Trigonometry of the Fourier series of the periodic function. The complete form of the Fourier series. Development examples of the periodic function in a series. Physical applicatis of the Fourier series, transformation.

3. Differential equations - common differential equations and their solutions. Methods of variable separation. 1st order linear differential equations, Cauchy function. General and particular solutions. 2nd order linear differential equations with constant coefficients. Homogenous equations and their solutions. Constant variation methods. Estimation methods for particular solutions of equations with quasipolynomic right sides. Solution examples of equations from freqencies and wavelengths.

4. Applications of Mathematics. Use of the Fourier Series solution for transformation of time-frequency interpretation functions.

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 exam of the presented 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:

The schedule has not yet been prepared

Schedule for summer 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

The subject is a part of the following study plans:

• Zvuková tvorba - bakalář (qualification subject)