Engineering Mathematics
BASIC DATA
course listing
A - main register
course code
YMX8160
course title in Estonian
Tehniline matemaatika
course title in English
Engineering Mathematics
course volume CP
-
ECTS credits
6.00
to be declared
yes
fully online course
not
assessment form
Examination
teaching semester
autumn - spring
language of instruction
Estonian
English
Study programmes that contain the course
Structural units teaching the course
LT - Department of Cybernetics
Timetable link
Version:
VERSION SPECIFIC DATA
course aims in Estonian
Aine eesmärk on anda põhiteadmised tehnikainsenerile vajalikest matemaatika eripeatükkidest ja nende rakendustest.
course aims in English
The aim of the course is to give the foundations of the selected topics in advanced engineering mathematics and their applications.
learning outcomes in the course in Est.
Õppeaine läbinud üliõpilane on omandanud põhiteadmised telekommunikatsioonitehnoloogia matemaatilistest alustest ja rakendab neid praktiliste ülesannete lahendamisel:
- valdab matemaatilist baasi;
- analüüsib filtrite ülekandefunktsiooni;
- kasutab signaalide lähendamiseks erinevaid funktsioone;
- kasutab iseseisvalt matemaatilisi meetodeid erialaste probleemide lahendamiseks.
- valdab matemaatilist baasi;
- analüüsib filtrite ülekandefunktsiooni;
- kasutab signaalide lähendamiseks erinevaid funktsioone;
- kasutab iseseisvalt matemaatilisi meetodeid erialaste probleemide lahendamiseks.
learning outcomes in the course in Eng.
After completing this course, the student has basic knowledge of the mathematical foundations of communication technologies and can apply this knowledge to solve practical problems:
- has basic knowledge in engineering mathematics;
- analyses the transfer function of the filters
- chooses and uses different functions to approximate signal;
- independently uses mathematical methods in solving engineering problems.
- has basic knowledge in engineering mathematics;
- analyses the transfer function of the filters
- chooses and uses different functions to approximate signal;
- independently uses mathematical methods in solving engineering problems.
brief description of the course in Estonian
1. Kodeerimisteooria ja krüptograafia matemaatilised alused
2. Kompleksmuutuja funktsioonid, analüütilise funktsiooni nullkohad ja poolused
3. Fourier’ teisendus, Laplace’i teisendus, Hilberti teisendus, diskreetne Fourier’ teisendus, zteisendus
4. Funktsionaalruumid, ortogonaalsed funktsioonid, Fourier’ read
5. Võendamine ja funktsioonide lähendamine
2. Kompleksmuutuja funktsioonid, analüütilise funktsiooni nullkohad ja poolused
3. Fourier’ teisendus, Laplace’i teisendus, Hilberti teisendus, diskreetne Fourier’ teisendus, zteisendus
4. Funktsionaalruumid, ortogonaalsed funktsioonid, Fourier’ read
5. Võendamine ja funktsioonide lähendamine
brief description of the course in English
1. Mathematical foundations of coding theory and cryptography
2. Functions of a complex variable, poles and zeroes of analytic function
3. Fourier’ transform, Laplace transform, Hilbert transform, discrete Fourier’ transform, z-transform
4. Functions spaces, orthogonal functions, Fourier’ series
5. Sampling and approximation theory
2. Functions of a complex variable, poles and zeroes of analytic function
3. Fourier’ transform, Laplace transform, Hilbert transform, discrete Fourier’ transform, z-transform
4. Functions spaces, orthogonal functions, Fourier’ series
5. Sampling and approximation theory
type of assessment in Estonian
-
type of assessment in English
-
independent study in Estonian
-
independent study in English
-
study literature
Alar Leibak, Kompleksmuutuja funktsioonid, TTÜ Kirjastus, 2015
Peeter Puusemp, Üldalgebra alused, TTÜ Kirjastus, 2012
Øyvind Ryan, Linear algebra, signal processing, and wavelets - a unified approach : Matlab version,
Springer, 2019
Peeter Puusemp, Üldalgebra alused, TTÜ Kirjastus, 2012
Øyvind Ryan, Linear algebra, signal processing, and wavelets - a unified approach : Matlab version,
Springer, 2019
study forms and load
daytime study: weekly hours
4.0
session-based study work load (in a semester):
lectures
2.5
lectures
-
practices
0.0
practices
-
exercises
1.5
exercises
-
lecturer in charge
Alar Leibak, vanemlektor (LT - küberneetika instituut)
LECTURER SYLLABUS INFO
semester of studies
teaching lecturer / unit
language of instruction
Extended syllabus
2025/2026 autumn
Alar Leibak, LT - Department of Cybernetics
Estonian