BAS, TU SofiaTeaching



Lectures

1. Complex Analysis

 

Lecture 1

Complex Numbers [ en , bg ]

Lecture 2

Functions of complex variable, continuity [ en , bg ]

Lecture 3

Analytic functions [ en , bg ]

Lecture 4

Elementary functions [ en , bg ( appendix ) ]

Lecture 5

Moebius transformations [ en , bg ]

Lecture 6

Complex integration [ en , bg ]

Lecture 7

Cauchy's integral theorem and Cauchy's integral formula [ en , bg ( appendix ) ]

Lecture 8

Cauchy's integral theorem and its consequences [ en , bg ( appendix ) ]

Lecture 9

Series representation for analytic functions [ en , bg ( appendix ) ]

Lecture 10

Zeros and singularities [ bg ( appendix ) ]

Lecture 11

Residue theory, the Argument Principle and Rouche's theorem [ bg ( appendix ) ]

Lecture 12

Applications of Residue theory to evaluation of Integrals [ bg]

 

2. Potential Theory

 

Lecture 1

Harmonic functions

Lecture 2

Dirichlet problem

Lecture 3

Positive harmonic functions

Lecture 4

Sub- and superharmonic functions

Lecture 5

Criteria for subharmonity

Lecture 6

Borel measures

Lecture 7

Logarithmic potentials

Lecture 8

Equilibrium measure, capacity

 

3. Hoehere Mathematik 2 (FDIBA)

 

Lecture 1

Feststellungsprüfung 2005

Lecture 2

Feststellungsprüfung 2006

Lecture 3

Feststellungsprüfung 2006-Fortsetzung

Lecture 4

Feststellungsprüfung 2007

Lecture 5

Feststellungsprüfung 2008

Lecture 6

Feststellungsprüfung 2009

Lecture 7

Feststellungsprüfung 2010

Lecture 8

Feststellungsprüfung 201111

Lecture 9

Feststellungsprüfung 2013

Lecture 8

Eulerscher Multiplikator

Lecture 8

Lipschitzklasse

Lecture 9

Differentialgleichungen mit festen Koeffizienten

Lecture 10

Eulersche Differentialgleichungen

Lecture 11

Systeme Differentialgleichungen

 

4. Tests

 

Test April  ;  Test May ;  Test June ;  Test March 2008 ;  Exam 2006 ;  Wasser-Transportwesen
FPMI_Exam_2009

 

5. Testbook complex analysis

 

Testbook complex analysis