Mathematics 1
- Course unit code:
- 308MA1
- 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 2010/2011:
-
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 Fri Thu Fri - Schedule for summer semester 2010/2011:
- The schedule has not yet been prepared
- The subject is a part of the following study plans:
-
- Zvuková tvorba - bakalář (qualification subject)