Department of Applied Mathematics

The Department was founded in 1962, as a result of reorganization of the Department of Higher Mathematics into the Department of Mathematics and that of Applied Mathematics. At present, there are 4 professors, 17 associative professors and PhD doctors, 8 lecturers, 6 assistant professors and 4 doctoral students at the Department. In the course of more than 50 years, the Department occupied active position in preparing applied mathematicians and giving good mathematical education for students throughout the University. More than 60 study modules, for students of many faculties (Mathematics and Natural Sciences, Chemical Engineering, Electronics and Electrical Engineering, Informatics, Civil Engineering), have been prepared by the members of the Department, In delivering mathematical study modules, modern and up-to-date software is used, namely: Matcad, Matlab, SAS ir e-teaching technologies, etc. Four text-books and more than 50 teaching materials for students of higher educational institutions have been written at the Department.

 
 
 
 

Studies

Study Module Code Instructor

Mathematical Investigation of Biosystems

B110M101

L. Bikulčienė

Complex Systems in Medicine and Biology

B110M102

N. Listopadskis

Biostatistics

B110M103

N. Listopadskis

Radiobiology and Mathematical Modelling

B145M002

N. Listopadskis

Final Degree Project

PR00M132

R. Alzbutas

Additional Practice

PR00M136

J. Dabulytė-Bagdonavičienė

Practice

P000B102

J. Dabulytė-Bagdonavičienė

Final Degree Project

P000B106

V. Janilionis

Final Practice

P000B108

J. Dabulytė-Bagdonavičienė

Final Degree Project

P000B115

V. Janilionis

Final Practice

P000B117

J. Dabulytė-Bagdonavičienė

Final Practice (minor)

P000B119

J. Dabulytė-Bagdonavičienė

Applied Statistcs

P001B101

V. Janilionis

Applied Mathematics

P001B204

N. Listopadskis

Applied Mathematics

P001B206

L. Bikulčienė

Mathematical Modelling of Molecular Systems

P001M102

D. Petkevičiūtė

Biomathematics Problems Seminar

P001M103

N. Listopadskis

Discrete Fourier Analysis and Wavelets

P001M105

J. Valantinas

Fractal Image and Signal Analysis Methods

P001M106

J. Valantinas

Mathematical Logics

P110B010

J. Dabulytė-Bagdonavičienė

Discrete Mathematics

P110B101

N. Listopadskis

Discrete Mathematics 2

P110B103

N. Listopadskis

Combinatorial Optimization

P110M001

N. Listopadskis

Algebraic Structures

P120B105

K. Lukšys

Algebraic Systems

P120M101

E. Sakalauskas

Matrix Analysis

P120M102

A. Michalkovič

Applications of Linear Operator Algebra

P120M103

L. Bikulčienė

Mathematics 1

P130B001

N. Listopadskis

Mathematics 2

P130B002

N. Listopadskis

Mathematics

P130B006

N. Listopadskis

Mathematical Methods of Signal Analysis

P140B100

L. Bikulčienė

Functional Analysis

P140B101

P. Tvarijonas

Linear Algebra

P150B001

J. Rimas

Geometry

P150B100

S.Petraitienė

Fractal Geometry

P150M102

J. Valantinas

Theory of Probability and Statistics

P160B003

J. Valantinas

Mathematical Statistics

P160B101

A. Jokimaitis

Data Analysis

P160B103

V. Janilionis

Life Insurance Mathematics

P160B104

N. Listopadskis

Financial Risk Management

P160B106

T. Ruzgas

Service System Models

P160B107

A. Jokimaitis

Theory of Probability

P160B109

J. Valantinas

Stochastic Processes

P160B117

M. Kavaliauskas

Risk and Uncertainty Analysis

P160B118

R. Alzbutas

Applied Models for Random Processes

P160B120

N. Listopadskis

Methods and Software of Applied Statistics

P160D003

V. Janilionis

Theory of Reliability

P160M100

R. Alzbutas

Multivariate Statistical Analysis

P160M101

M. Kavaliauskas

Time Series Analysis

P160M102

M. Kavaliauskas

Stochastic Extreme and Sums

P160M103

A. Jokimaitis

Statistical Data Analysis Methods

P160M105

V. Janilionis

Statistical Methods in Social Research

P160M115

V. Janilionis

Data Mining Models

P160M119

T. Ruzgas

Data Mining Methods and Software

P160M121

V. Janilionis

Seminar on Big Data Analysis and Application

P160M124

R. Alzbutas

Business Risk and Uncertainty Analytics

P160M126

R. Alzbutas

Project of Business Internal Data Analytics

P160M127

T. Ruzgas

Big Data Analytic Tools

P160M128

T. Ruzgas

Multivariate Statistical Analysis Models

P160M129

V. Janilionis

Big Data Mining Methods

P160M132

V. Janilionis

Numerical Methods

P170B009

N. Listopadskis

Cryptology

P170B111

E. Sakalauskas

Mathematical Methods for Processing of Digital Images

P170B120

J. Valantinas

Discrete Transforms

P170B804

J. Valantinas

Mathematics Software

P170B907

V. Janilionis

Theory of Cryptography

P170D010

E. Sakalauskas

Cryptographic Systems

P170M100

E. Sakalauskas

Security of Embedded Systems

P170M107

E. Sakalauskas

Digital Image Processing

P170M801

J. Valantinas

Theoretical Background of Fractal Modelling

P175D005

J. Valantinas

Electronic Documents and Data Security

P175M101

E. Sakalauskas

Research

Main Research Area

Department of Applied Mathematics specializes in:

Mathematical methods in the study of signals complexity;

Application of matrix time series analysis in investigation of dynamical systems and cardiology;

Using of operator method for investigation of dynamical system;

Fragmentation and research of numerical sequences;

Identification and cryptography;

Investigation of symmetric and asymmetric cryptographic systems;

Development and investigation of the efficient digital image encoding, analysis and synthesis techniques;

Analytical investigation of delay systems;

Solution of the eigenvalue problem for some matrices with special structure;

 Multivariate data analysis using projection pursuit.

Scientific Conferences

National international conferences organized by the department:

Mathematics and Its Education

Mathematics and nature sciences (student conference)

Recent Research Projects Carried out by the department of Applied mathematics

Researches of the department successfully join to national or international projects organized by other faculties, institutes or universities.

Technological solutions 

 

KTU’s department of applied mathematics offers companies a wide range of technological solutions and services, and invites companies to collaborate in various projects.

 

Services in applications of mathematics and mathematical modelling

Service

Contact

Mathematical modelling of technical, information and medical systems

Assoc. Prof. Narimantas Listopadskis
Tel.: +37068755150
narimantas.listopadskis@ktu.lt

Research of cryptographic systems

Prof. Eligijus Sakalauskas
Tel.: +37069878477
eligijus.sakalauskas@ktu.lt

Creation, realization and implementation of cryptographic algorithms

Reliability theory application

Prof. Robertas Alzbutas
Tel.: +37061473265
robertas.alzbutas@ktu.lt

Risk and uncertainty analysis

Modelling of extreme phenomena and events

Analysis of failures, errors or longevity data

Uncertainty and sensitivity analysis of modelling results

Development of smart tools for information integration

Development and application of statistical data analysis models

Assoc. Prof. Vytautas Janilionis
Tel.: +37068661605
vytautas.janilionis@ktu.lt

Application of data mining methods in various areas

Development models for statistical data visualisation

The list of doctoral dissertations defended at the Department:

On June 24, 2002, in the Informatics Science Field (09P), Nerijus Morkevičius defended his doctoral dissertation „Development and analysis of modelling and efficient encoding techniques for multi-dimensional digital images“ (scientific supervisor prof. Jonas Valantinas)

On May 11, 2007, in the Informatics Engineering Science Field (07T), Tomas Žumbakis defended his doctoral dissertation „Image smoothness estimates in fractal image coding procedures: theoretical and practical aspects“ (scientific supervisor prof. Jonas Valantinas)

On October 12, 2007, in the Informatics Science Field (09P), Liepa Bikulčienė defended her doctoral dissertation „ Investigation of nonlinear differential equations by operator method“ (scientific supervisor prof. Zenonas Navickas)

On October 7, 2008, in the Informatics Science Field (09P), Aušra Žvironienė defended her doctoral dissertation “Investigation of data flows in telecommunication networks using the method of automata convolution” (2000 – 2004 - scientific supervisor prof. Zenonas Navickas, 2005 – 2008 scientific supervisor prof. Liudas Mažeika)

On December 28, 2009, in the Informatics Science Field (09P), Gintarė Leonaitė defended her doctoral dissertation “Analytical investigation of delay systems” (scientific supervisor prof. Jonas Rimas)

On October 22, 2010, in the Informatics Engineering Science Field (07T), Andrius Raulynaitis defended his doctoral dissertation “Construction and analysis of assymetric ciphers, using algorithmic hard problems in matrix algebra” (scientific supervisor prof. Eligijus Sakalauskas)

On June 13, 2013, in the Informatics Science Field (09P), Kęstutis Lukšys defended his doctoral dissertation “Matrix power cipher and its analysis” (scientific supervisor prof. Eligijus Sakalauskas)

On January 9, 2014, in the Informatics Engineering Science Field (07T), Deividas Kančelkis defended his doctoral dissertation „Development, analysis and implementation of the locally progressive digital image encoding technique“ (scientific supervisor prof. Jonas Valantinas)

On March 3, 2015, in the Informatics Science Field (09P), Aleksejus Michalkovič defended his doctoral dissertation “Asymetric encryption system based on noncommuting algebraic systems creation and investigation” (scientific supervisor prof. Eligijus Sakalauskas)

On June 17, 2015, in the Informatics Science Field (09P), Irma Ivanovienė defended her doctoral dissertation “Investigation of dynamics of control systems using Lambert function” (scientific supervisor prof. Jonas Rimas)

Partners

Lithuanian University of Health Sciences (Lithuania)

Lithuanian Sport University (Lithuania)

Vilnius University Faculty of Mathematics and Informatics (Lithuania)

University of Nottingham (United Kingdom)

Riga Technical University (Latvia)

University of Latvia (Latvia)

Yanka Kupala State University of Grodno (Belarus)

Politehnica University of Bucharest (Romania)

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Head of Study Programmes

 STUDIES: MATHEMATICS

  Head of  Study Programmes

Dr. Jurgita Dabulytė-Bagdonavičienė

Studentų st. 50–
326a
LT – 51368 Kaunas
Tel. +370 620 20 474
STUDY PROGRAMMES: Applied Mathematics (BA), Applied Mathematics (MA), Business Big Data Analytics (MA)

Instructors


Professors
Prof. dr. Robertas Alzbutas
Studentų st. 50–223
Tel. (+370) 614 73 265
 
Prof. dr. Eligijus Sakalauskas
Studentų st. 50
Tel. +370 698 78 477
 
Prof. dr. Jonas Valantinas
Studentų st. 50
 

Associated proffessors

Doc. dr. Liepa Bikulčienė
Studentų st. 50-325
Tel. (+370) 682 17 227
 
Doc. dr. Jurgita Dabulytė-Bagdonavičienė
Studentų st. 50–326a
Tel. (+370) 620 20 474
 
Doc. dr. Vytautas Janilionis
Studentų st. 50–322
Tel. (+370) 686 61 605
 
Doc. dr. Narimantas Listopadskis
Studentų st. 50–322 ir 324
Tel. (+370) 687 55 150

 

Doc. dr. Regina Novikienė
Studentų st. 50–325a
Tel. (+370) 616 91 748
 
Doc. dr. Stasė Petraitienė
Studentų st. 50–325a
Tel. (+370) 612 03 539
 

Dr. Tomas Ruzgas

Studentų st. 50–319
Tel. +370 615 99 350
 
Doc. dr. Aušra Žvironienė
Studentų st. 50–326a
Tel. (+370) 684 01 747
 

Lecturers

  Doc. dr. Juozas Grigaitis
Studentų st. 50-319

 

Dr. Irma Ivanovienė
Studentų st. 48A–144
 
Dr. Kristina Jakubėlienė
Studentų st. 50–325
Tel. (+370) 615 78 773
 
Doc. dr. Arvydas Jokimaitis
Studentų st. 50–325
Tel. (+370) 612 95 386
 
Dr. Mindaugas Kavaliauskas
Studentų st. 50–319
 

Dr. Gintarė Leonaitė

Studentų st. 50–325b
Tel. (+370) 687 89 168
 
Dr. Kęstutis Lukšys
Studentų st. 50–327a
Tel. (+370) 612 05 732
 

Dr. Aleksejus Michalkovič

Studentų st. 50–327a
Tel. (+370) 687 37 468
 
Dr. Daiva Petkevičiūtė
Studentų st. 50–318
 

Rasa Matiukaitė

Studentų st. 50–325b
Tel. +370 614 63 769
Email: rasa.matiukaite@ktu.lt
 
Vaidotas Petrauskas
Studentų st. 50
Email: vaidotas.petrauskas@ktu.lt

 

Darius Petronaitis
Studentų st. 50–326a, 323a
Tel. (+370) 611 10 982
Email: darius.petronaitis@ktu.lt
 
Rasa Šmidtaitė
Studentų st. 50
Email: rasa.smidtaite@ktu.lt
 
Povilas Tvarijonas
Studentų st. 50–325b
Email: povilas.tvarijonas@ktu.lt
 
 

Robertas Vilkas

Studentų st. 50–318
El. p. robertas.vilkas@ktu.lt
 
  Dr. Monika Vilkienė
Studentų st. 50–318
Email: monika.vilkiene@ktu.lt
 

Assistants

Darius Aliulis

Studentų st. 48A
 

Lina Dindienė

Studentų st. 50–318
 
Tomas Iešmantas
Studentų g. 48A
 
Tatjana Sidekerskienė
Studentų st. 50-318
Tel. (+370) 612 98 048
Email: tatjana.sidekerskiene@ktu.lt
 

.

Vytautas Stepas
Studentų st. 50-319
Email: vytautas.stepanauskas@ktu.lt
 

Gintarė Vaidelienė

Studentų st. 50–324A
 

Paulius Vitkus

Studentų st. 50
 

Administrators

Kristina DEDELIENĖ kristina.mackeviciute@ktu.lt

Doctoral students

Jonas Muleravičius

Studentų st. 50
 

Gintarė Vaidelienė

Studentų g. 50–324A kab.
 
Raimonda Vitkienė
Studentų st. 50
Email:
 

Paulius Vitkus

Studentų st. 50
 

Head of Department

  Head of Department
Assoc. prof. dr. Narimantas Listopadskis
Studentų st. 50–322 and 324
LT – 51368 Kaunas
Tel. (+370) 687 55 150
  Administrator

 

 
Studentų st. 50–324a
LT – 51368 Kaunas
Tel. +370 37 300 314