Course detail

Mathematics 1

CESA-SMA1Acad. year: 2023/2024

Basic mathematical notions. Sets, operations with sets, concept of a function, inverse function, sequences.
Linear algebra and geometry. Vector spaces, basic notions,linear combination of vectors, linear dependence, independence vectors, base, dimension of a vector space. Matrices and determinants. Systems of linear equations and their solution.
Differential calculus of one variable, limit, continuity, derivative of a function. Derivatives of higher orders, l´Hospital rule, behavior of a function. Integral calculus of fuctions of one variable, antiderivatives, indefinite integral. Methods of a direct integration. Integration by parts, substitution methods, integration of some elementary functions. Definite integral and its applications. Improper integral. Infinite number series, convergence criteria. Power series, Taylor theorem, Taylor series.

Language of instruction

Czech

Number of ECTS credits

7

Mode of study

Not applicable.

Entry knowledge

Knowledge at secondary school level and of completed subjects in the study area

Rules for evaluation and completion of the course

Requirements for completion of a course are specified by a regulation issued by the lecturer responsible for the course and updated for every
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year

Aims

The main goal of the calculus course is to explain the basic principles and methods of higher mathematics that are necessary for the study of electrical engineering. The practical aspects of application of these methods and their use in solving concrete problems (including the application of contemporary mathematical software) are emphasized.
The ability of orientation in the basic problems of higher mathematics and the ability to apply the basic methods. Solving problems in the areas cited in the annotation above by using basic rules. Solving these problems by using modern mathematical software.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

EDWARDS, C.H., PENNEY, D.E., Calculus with Analytic Geometry, Prentice Hall, 1993. (EN)
BRABEC B., HRŮZA,B., Matematická analýza II, SNTL, Praha, 1986. (CS)
ROSS, K.A., Elementary analysis: The Theory of Calculus, Springer, 2000. (EN)
FONG, Y., WANG, Y., Calculus, Springer, 2000 (EN)
ŠVARC, S. a kol., Matematická analýza I, PC DIR, Brno, 1997. (CS)
THOMAS, G.B., FINNEY, R.L., Calculus and Analytic Geometry, Addison-Wesley Publ. Comp., 1994. (EN)

Recommended reading

Not applicable.

Elearning

Classification of course in study plans

  • Programme SPC-STC Bachelor's 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

Computer-assisted exercise

39 hod., compulsory

Teacher / Lecturer

Elearning