Branch Details

Mathematical Methods in Information Technology

Original title in Czech: Matematické metody v informačních technologiíchFITAbbreviation: MMMAcad. year: 2018/2019

Programme: Information Technology

Length of Study: 2 years

Accredited from: 1.1.2005Accredited until: 31.12.2024

Profile

The goal of the study branch of Mathematical Methods in Information Technologies is to acquaint students with deeper mathematical roots of information technologies and teach them how to understand, practically apply as well as further develop advanced technologies built on these roots. Within the compulsory courses of the study branch, the students will mainly improve their knowledge of mathematics and of the theoretical basis of computer science and will get familiar with their advanced applications in selected areas of information technologies. In particular, this concerns the areas of compilers, methods of automated analysis, verification, and testing of correctness of computer-based systems, the areas of high performance computing, modelling, simulation and optimization, and/or applications of the game theory as a support of rational strategic decision-making in conflict situations (e.g., in economics, security, etc.). The choice of optional courses together with the diploma thesis will then allow the students to individually narrow down their focus on various theoretical or application areas. The obtained deeper theoretical knowledge and acquaintance with their various applications will allow the graduates to practically apply various highly advanced modern technologies, including non-standard technologies as well as technologies currently under development, will allow them to find positions in companies (or divisions of companies) focused on research and development of new information technologies with a mathematical basis, and/or will give them a solid training for subsequent PhD studies.

Key learning outcomes

Student of the branch acquire deeper theoretical knowledge in mathematics and informatics theory, which will be able to apply practically as well as to develop advanced technologies built on these roots. Study in this branch provide further extension of knowledge mainly in the area of compilers, methods of automated analysis, verification, and testing of correctness of computer-based systems, the area of high performance computing, modelling, simulation and optimization, and/or applications of the game theory as a support of rational strategic decision-making in conflict situations.

Occupational profiles of graduates with examples


  • A graduate has a deep knowledge of the mathematical roots of information technologies and their various advanced applications, in particular, compilers, automated methods of analysis, verification, and testing of correctness of computer-based systems, computer-aided modeling, simulation, and optimization, fault tolerance, game theory, high performance computing technologies, cryptography and codes, and/or unconventional and newly emerging computing platforms.
  • A graduate is qualified for research, development, and applications of various advanced technologies, including highly unconventional technologies, requiring a deeper understanding of the mathematical roots of computer science. The acquired knowledge of the theoretical basis of information technologies makes the graduate very flexible and able to easily get familiar with new discoveries and technologies.
  • Students graduating from the study branch can make their professional career especially in research and development divisions as well as production divisions of various companies and institutions interested in development and applications of advanced technologies from the areas of automated analysis, verification, and testing of computer-based systems; compilers; technologies for synthesis of hardware or software from high-level specifications; modeling, simulation, and optimization of systems (including companies and institutions interested in simulation, prediction, and optimization for the needs of energetics, economics, security, etc.); technologies for high performance computing in science and engineering; and/or technologies for development of critical systems with a special emphasis on reliability and security. Moreover, with respect to their deep knowledge of algorithmics, they can find positions also in other areas of the IT industry, focused on development and maintenance of complex, computationally demanding software products (e.g., within running and optimizing large databases, information systems, computer networks, etc.). An important possibility is also a career of the graduates in science and/or education.

Supervisor


Course structure diagram with ECTS credits

1. year of study, winter semester
AbbreviationTitleL.Cr.Sem.Com.Compl.Gr.Op.
MATMathematical Structures in Computer Sciencecs5winterCompulsoryExyes
TINTheoretical Computer Sciencecs5winterCompulsoryCr,Exyes
STITheoretical Computer Science Seminarcs2winterOptionalCryes
1. year of study, summer semester
AbbreviationTitleL.Cr.Sem.Com.Compl.Gr.Op.
PP1Project Practice 1cs5summerOptionalCryes
2. year of study, winter semester
AbbreviationTitleL.Cr.Sem.Com.Compl.Gr.Op.
SEPSemester Projectcs5winterCompulsoryGCryes
PP2Project Practice 2cs5winterOptionalGCryes
2. year of study, summer semester
AbbreviationTitleL.Cr.Sem.Com.Compl.Gr.Op.
DIPMaster's Thesiscs13summerCompulsoryCryes
Any year of study, winter semester
AbbreviationTitleL.Cr.Sem.Com.Compl.Gr.Op.
FAVFormal Analysis and Verificationcs5winterCompulsoryCr,Exyes
GALGraph Algorithmscs5winterCompulsoryExyes
THEGame Theorycs4winterCompulsoryCr,Exyes
VYPaCompiler Construction (in English)en5winterCompulsoryExyes
JA3Conversation through Hot Current Issuescs3winterCompulsory-optionalCr,Exyes
AEUEnglish for Europecs3winterCompulsory-optionalCr,Exyes
FCEEnglish: Preparatory Course for FCE Examcs3winterCompulsory-optionalCryes
BISInformation System Securitycs5winterCompulsory-optionalCr,Exyes
FITHistory and Philosophy of Technologycs3winterCompulsory-optionalCryes
HKOCommunication Skillscs3winterCompulsory-optionalCryes
HKAAssertiveness and Conflictscs3winterCompulsory-optionalCryes
PRMFundamentals of Lawcs3winterCompulsory-optionalCryes
HPRPresentation Skillscs3winterCompulsory-optionalCryes
HPOPersonality Psychologycs3winterCompulsory-optionalCryes
RETRhetoriccs3winterCompulsory-optionalCryes
SFCSoft Computingcs5winterCompulsory-optionalCr,Exyes
HVRLeadership and People Managementcs3winterCompulsory-optionalCryes
AISInformation Systems Analysis and Designcs5winterOptionalCr,Exyes
ACHProcessor Architecturecs5winterOptionalCr,Exyes
BMSWireless and Mobile Networkscs5winterOptionalCr,Exyes
BIOBiometric Systemscs5winterOptionalCr,Exyes
C3PTroubleshooting and Maintaining Cisco IP Networks (TSHOOT)cs5winterOptionalGCryes
EIPEconomics of Information Productscs5winterOptionalExyes
GZNGraphical and Sound Interfaces and Standardscs5winterOptionalExyes
GJAGraphical User Interfaces in Javacs5winterOptionalCr,Exyes
GUXGraphical User Interfaces in X Window Systemcs5winterOptionalExyes
GMUGraphic and Multimedia Processorscs5winterOptionalCr,Exyes
HSCHardware/Software Codesigncs5winterOptionalCr,Exyes
SENIntelligent Sensorscs5winterOptionalCr,Exyes
SINIntelligent Systemscs5winterOptionalExyes
MMOBBiological System Modellingcs4winterOptionalCr,Exno
PGRComputer Graphicscs5winterOptionalExyes
POVaComputer Vision (in English)en5winterOptionalExyes
PGPaAdvanced Computer Graphics (in English)en5winterOptionalExyes
PCSAdvanced Digital Systemscs5winterOptionalExyes
PDBAdvanced Database Systemscs5winterOptionalCr,Exyes
PKSAdvanced Communication Systemscs5winterOptionalCr,Exyes
PDIDistributed Application Environmentcs5winterOptionalExyes
ROSaReal-Time Operating Systems (in English)en5winterOptionalExyes
ROBaRobotics (in English)en5winterOptionalExyes
SMTSeminar of Mathematical Structurescs2winterOptionalCryes
SRIStrategic Management of Information Systemscs5winterOptionalExyes
TAMaApplication Development for Mobile Devices (in English)en5winterOptionalGCryes
VINComputer Artcs5winterOptionalGCryes
ZPXProfessional Practice, Abroaden5winterOptionalCryes
ZZNKnowledge Discovery in Databasescs5winterOptionalCr,Exyes
ZPJaNatural Language Processing (in English)en5winterOptionalExno
Any year of study, summer semester
AbbreviationTitleL.Cr.Sem.Com.Compl.Gr.Op.
FLPFunctional and Logic Programmingcs5summerCompulsoryCr,Exyes
LOGLogiccs5summerCompulsoryCr,Exyes
PRLParallel and Distributed Algorithmscs5summerCompulsoryCr,Exyes
PESPetri Netscs5summerCompulsoryExyes
VNVHigh Performance Computationscs5summerCompulsoryExyes
AGSAgents and Multiagent Systemscs5summerCompulsory-optionalExyes
JA3Conversation through Hot Current Issuescs3summerCompulsory-optionalCr,Exyes
AEUEnglish for Europecs3summerCompulsory-optionalCr,Exyes
BINBio-Inspired Computerscs5summerCompulsory-optionalExyes
FITHistory and Philosophy of Technologycs3summerCompulsory-optionalCrno
DJADynamic Languagescs5summerCompulsory-optionalExyes
FIKPhilosophy and the Culturecs3summerCompulsory-optionalCryes
KKOData Coding and Compressioncs5summerCompulsory-optionalCr,Exyes
HKOCommunication Skillscs3summerCompulsory-optionalCryes
HKAAssertiveness and Conflictscs3summerCompulsory-optionalCryes
KRYCryptographycs5summerCompulsory-optionalCr,Exyes
OPMOptimizationcs4summerCompulsory-optionalCr,Exyes
PRMFundamentals of Lawcs3summerCompulsory-optionalCryes
HPRPresentation Skillscs3summerCompulsory-optionalCryes
HPOPersonality Psychologycs3summerCompulsory-optionalCryes
RETRhetoriccs3summerCompulsory-optionalCryes
SNTSimulation Tools and Techniquescs5summerCompulsory-optionalCr,Exyes
SLOaComplexity (in English)en5summerCompulsory-optionalExyes
SSPStochastic Processescs4summerCompulsory-optionalCr,Exyes
HVRLeadership and People Managementcs3summerCompulsory-optionalCryes
EVOApplied Evolutionary Algorithmscs5summerOptionalExyes
ARCParallel System Architecture and Programmingcs5summerOptionalCr,Exyes
BZASecure Hardware Devicescs5summerOptionalExyes
BIFBioinformaticscs5summerOptionalExyes
DFAaDigital Forensics (in English)en5summerOptionalExyes
FVSFunctional Verification of Digital Systemscs5summerOptionalExno
FYOPhysical Opticscs5summerOptionalExyes
GISGeographical Information Systemscs5summerOptionalCr,Exyes
WAPInternet Applicationscs5summerOptionalCr,Exyes
MPRProject Managementcs5summerOptionalCr,Exyes
MEKEconomics for Managerscs5summerOptionalCr,Exyes
HMRMarketingcs5summerOptionalCr,Exyes
MMATMatrices and Tensors Calculuscs5summerOptionalCr,Exyes
MULMultimediacs5summerOptionalExyes
NAVDesign of External Adapters and Embedded Systemscs5summerOptionalExyes
NSBProjecting, Administration and Securitycs5summerOptionalCr,Exyes
PISAdvanced Information Systemscs5summerOptionalCr,Exyes
POSAdvanced Operating Systemscs5summerOptionalExyes
PMAProject Managercs5summerOptionalGCryes
PDSData Communications, Computer Networks and Protocolscs5summerOptionalExyes
C2PImplementing Cisco IP Switched Networks (SWITCH)cs5summerOptionalGCrno
C1PImplementing Cisco IP Routing (ROUTE)cs5summerOptionalGCryes
SPPFault Tolerant Systemscs5summerOptionalCr,Exyes
UXIaUser Experience and Design of User Interfaces and Services (in English)en5summerOptionalGCryes
VIZaVisualization and CAD (in English)en5summerOptionalGCryes
VYFComputational Photographycs5summerOptionalGCryes
VGEComputational Geometrycs5summerOptionalExyes
MMZSAdvanced Methods of Signal Processingcs6summerOptionalCr,Exyes
ZPXProfessional Practice, Abroaden5summerOptionalCryes
ZPOImage Processingcs5summerOptionalExyes
ZRESpeech Signal Processingcs5summerOptionalExyes
All the groups of optional courses
Gr. Min. credits Courses
Social Course 1
Unconventional Computing Methods 1
Cryptography, Coding and Security 1
Cryptography, Coding and Security 1
Unconventional Computing Methods 1
Programming Languages,Computability and Complexity 1
Modelling, Simulation and Optimalization 1
Social Course 1