Mathematics for PhD Students
BASIC DATA
course listing
A - main register
course code
YMX9303
course title in Estonian
Matemaatika doktorantidele
course title in English
Mathematics for PhD Students
course volume CP
-
ECTS credits
6.00
to be declared
yes
assessment form
Examination
teaching semester
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 omandada doktoriõppe jaoks vajalikud baasteadmised matemaatikas.
course aims in English
The aim of this course is to acquire necessary basic knowledge in mathematics for doctoral studies.
learning outcomes in the course in Est.
Õppeaine läbinud üliõpilane:
- defineerib harilike ja osatuletistega diferentsiaalvõrranditega seotud põhimõisteid ning seoseid ja lahendab vastavaid ülesandeid;
- rakendab erialaste probleemide lahendamisel lineaaralgebrat ja Fourier' analüüsi;
- kasutab matemaatilise modelleerimise ülesannete lahendamisel peamisi numbrilisi meetodeid;
- lahendab erialaseid ülesandeid, kasutades kompleksanalüüsi või tõenäosusteooria ja matemaatilise statistika peamisi meetodeid.
- defineerib harilike ja osatuletistega diferentsiaalvõrranditega seotud põhimõisteid ning seoseid ja lahendab vastavaid ülesandeid;
- rakendab erialaste probleemide lahendamisel lineaaralgebrat ja Fourier' analüüsi;
- kasutab matemaatilise modelleerimise ülesannete lahendamisel peamisi numbrilisi meetodeid;
- lahendab erialaseid ülesandeid, kasutades kompleksanalüüsi või tõenäosusteooria ja matemaatilise statistika peamisi meetodeid.
learning outcomes in the course in Eng.
After completing this course the student:
- defines the main concepts and relations of of ordinary and partial differential equations and solves related problems;
- applies knowledge concerning linear algebra and Fourier analysis to solve problems of his/her speciality;
- uses main numerical methods to solve problems of mathematical modelling;
- applies the main methods of complex analysis or probability theory and mathematical statistics to solve problems of his/her speciality.
- defines the main concepts and relations of of ordinary and partial differential equations and solves related problems;
- applies knowledge concerning linear algebra and Fourier analysis to solve problems of his/her speciality;
- uses main numerical methods to solve problems of mathematical modelling;
- applies the main methods of complex analysis or probability theory and mathematical statistics to solve problems of his/her speciality.
brief description of the course in Estonian
Harilikud diferentsiaalvõrrandid ja nende süsteemid, Laplace teisendus, maatriksite omaväärtused, mitmemõõtmeline matemaatiline analüüs, Fourier meetod, osatuletistega diferentsiaalvõrrandid, kompleksanalüüs, konformsed teisendused, numbrilised meetodid võrrandite, süsteemide ja diferentsiaalvõrrandite lahendamisel, tõenäosusteooria ja matemaatilise statistika meetodid. Teemade proportsioonid sõltuvad konkreetse tudengi või tudengiterühma erialast.
brief description of the course in English
Ordinary differential equations and their systems, Laplace transform, matrix eigevalue problems, multivariate calculus, Fourier method, partial differential equations, complex analysis, conformal mappings, numerical methods to solve equations, systems and differential equations, methods of probability theory and mathematical statistics. Proportions of themes depend on specialities of students or student groups.
type of assessment in Estonian
eksam
type of assessment in English
exam
independent study in Estonian
-
independent study in English
-
study literature
E. Kreyszig, Advanced engineering mathematics. Wiley, 2006.
study forms and load
daytime study: weekly hours
4.0
session-based study work load (in a semester):
lectures
2.0
lectures
-
practices
0.0
practices
-
exercises
2.0
exercises
-
lecturer in charge
-
LECTURER SYLLABUS INFO
semester of studies
teaching lecturer / unit
language of instruction
Extended syllabus
2024/2025 spring
Jaan Janno, LT - Department of Cybernetics
English, Estonian