Course detail

Mathematics in Electrical Engineering 1

FEKT-HMA1Acad. year: 2012/2013

The course is focused on differential and integral calculus of functions of one variable, infinite series, basic notions of functions of several variables and ordinary differential equations. Solution methods and English terminology in mathematics are emphasized.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. RNDr. Zdeněk Šmarda, CSc.

Department

Department of Mathematics (UMAT)

Learning outcomes of the course unit

The ability to understand the basic problems of higher mathematics and apply the basic methods. Another important output is the knowledge of English terminology in these areas

Prerequisites

The secondary school knowledge and the knowledge of English at pre-intermediate level.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Requirements for the completion of the course are specified by the lecturer responsible for the course.

Course curriculum

1. Basic mathematical terms, functions and sequences.
2. Vector spaces, linear dependence and independence of vectors, base and dimension of a vector space.
3. Matrices, determinants and their applications.
4. Differential calculus of functions of one variable. Limit, continuity, derivative of a function.
5. Derivatives of higher order, l'Hospital rule, behaviour of a function.
6. Integral calculus of functions of one variable, indefinite integral. Methods of direct integration.
7. Integration by parts, substitution method, definite integral.
8. Improper integral, numerical integration.
9. Infinite series, convergence test.
10. Power and functional series.
11. Function of several variables, partial derivative.
12. Ordinary differential equations, basic methods of solving.
13. Numerical solving of differential equations.

Work placements

Not applicable.

Aims

The main goal of the course is to introduce to students the basic principles and methods of higher mathematics that are necessary for the study of electrical engineering. The students will further learn to translate Czech and English texts in these areas.

Specification of controlled education, way of implementation and compensation for absences

The content and forms of the evaluated course are specified by the lecturer responsible for the course.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme AJEI-H Bachelor's

    branch H-AEI , 1. year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

RNDr. Petr Fuchs, Ph.D.

Syllabus

1. Basic mathematical terms, functions and sequences.
2. Vector spaces, linear dependence and independence of vectors, base and dimension of a vector space.
3. Matrices, determinants and their applications.
4. Differential calculus of functions of one variable. Limit, continuity, derivative of a function.
5. Derivatives of higher order, l'Hospital rule, behaviour of a function.
6. Integral calculus of functions of one variable, indefinite integral. Methods of direct integration.
7. Integration by parts, substitution method, definite integral.
8. Improper integral, numerical integration.
9. Infinite series, convergence test.
10. Power and functional series.
11. Function of several variables, partial derivative.
12. Ordinary differential equations, basic methods of solving.
13. Numerical solving of differential equations.

Exercise in computer lab

26 hours, compulsory

Teacher / Lecturer

RNDr. Petr Fuchs, Ph.D.

Syllabus

According to the lecture.