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.Com.Compl.Hr. rangeGr.Op.
MATMathematical Structures in Computer Sciencecs, en5CompulsoryExP - 39 / COZ - 13yes
TINTheoretical Computer Sciencecs5CompulsoryCr,ExP - 39 / PR - 13yes
STITheoretical Computer Science Seminarcs2ElectiveCrS - 26yes
1. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
PP1Project Practice 1cs, en5ElectiveCrPR - 52yes
2. year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
SEPSemester Projectcs, en5CompulsoryGCrPR - 65yes
PP2Project Practice 2cs5ElectiveGCrPR - 52yes
2. year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
DIPMaster's Thesiscs, en13CompulsoryCrPR - 169yes
Any year of study, winter semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
FAVFormal Analysis and Verificationcs5CompulsoryCr,ExP - 39 / PR - 13yes
GALGraph Algorithmscs, en5CompulsoryExP - 39 / PR - 13yes
THEGame Theorycs4CompulsoryCr,ExP - 26 / PR - 13yes
VYPaCompiler Construction (in English)en5CompulsoryExP - 39 / PR - 13yes
BISInformation System Securitycs5Compulsory-optionalCr,ExP - 39 / PR - 13Cryptography, Coding and Securityyes
JA3Conversation through Hot Current Issuescs, en3Compulsory-optionalCr,ExCOZ - 26Social Courseyes
AEUEnglish for Europecs, en3Compulsory-optionalCr,ExCOZ - 26Social Courseyes
FCEEnglish: Preparatory Course for FCE Examcs, en3Compulsory-optionalCrCOZ - 26Social Courseyes
FITHistory and Philosophy of Technologycs, en3Compulsory-optionalCrP - 26Social Courseyes
HKOCommunication Skillscs, en3Compulsory-optionalCrCOZ - 26Social Courseyes
HKAAssertiveness and Conflictscs3Compulsory-optionalCrCOZ - 26Social Courseyes
PRMFundamentals of Lawcs, en3Compulsory-optionalCrP - 26Social Courseyes
HPRPresentation Skillscs3Compulsory-optionalCrCOZ - 26Social Courseyes
RETRhetoriccs, en3Compulsory-optionalCrP - 26Social Courseyes
HVRLeadership and People Managementcs, en3Compulsory-optionalCrCOZ - 26Social Courseyes
SFCSoft Computingcs5Compulsory-optionalCr,ExP - 26 / PR - 26Unconventional Computing Methodsyes
AISInformation Systems Analysis and Designcs5ElectiveCr,ExP - 39 / PR - 13yes
ACHProcessor Architecturecs5ElectiveCr,ExP - 26 / Cp - 10 / PR - 16yes
BMSWireless and Mobile Networkscs5ElectiveCr,ExP - 39 / PR - 13yes
BIOBiometric Systemscs, en5ElectiveCr,ExP - 39 / L - 6 / PR - 7yes
C3PTroubleshooting and Maintaining Cisco IP Networks (TSHOOT)cs5ElectiveGCrL - 52yes
EIPEconomics of Information Productscs5ElectiveExP - 26 / COZ - 6 / Cp - 12 / PR - 8yes
GZNGraphical and Sound Interfaces and Standardscs5ElectiveExP - 26 / Cp - 12 / PR - 14yes
GJAGraphical User Interfaces in Javacs, en5ElectiveCr,ExP - 26 / PR - 26yes
GUXGraphical User Interfaces in X Window Systemcs5ElectiveExP - 26 / PR - 26yes
GMUGraphic and Multimedia Processorscs5ElectiveCr,ExP - 26 / Cp - 8 / PR - 18yes
HSCHardware/Software Codesigncs, en5ElectiveCr,ExP - 39 / PR - 13yes
SENIntelligent Sensorscs5ElectiveCr,ExP - 26 / COZ - 4 / L - 4 / PR - 18yes
SINIntelligent Systemscs5ElectiveExP - 26 / COZ - 6 / PR - 20yes
MMOBBiological System Modellingcs4ElectiveCr,ExP - 26 / Cp - 13no
PGRComputer Graphicscs, en5ElectiveExP - 39 / Cp - 6 / PR - 7yes
POVaComputer Vision (in English)en5ElectiveExP - 26 / PR - 26yes
PGPaAdvanced Computer Graphics (in English)en5ElectiveExP - 26 / PR - 26yes
PCSAdvanced Digital Systemscs5ElectiveExP - 26 / Cp - 10 / PR - 16yes
PDBAdvanced Database Systemscs, en5ElectiveCr,ExP - 26 / COZ - 6 / Cp - 6 / PR - 14yes
PKSAdvanced Communication Systemscs5ElectiveCr,ExP - 39 / L - 6 / PR - 7yes
PDIDistributed Application Environmentcs, en5ElectiveExP - 26 / Cp - 6 / PR - 20yes
ROSaReal-Time Operating Systems (in English)en5ElectiveExP - 26 / Cp - 10 / PR - 16yes
ROBaRobotics (in English)en5ElectiveExP - 26 / L - 6 / PR - 20yes
SMTSeminar of Mathematical Structurescs2ElectiveCrS - 26yes
SRIStrategic Management of Information Systemscs5ElectiveExP - 26 / COZ - 2 / Cp - 4 / PR - 20yes
TAMaApplication Development for Mobile Devices (in English)en5ElectiveGCrP - 26 / PR - 26yes
VINComputer Artcs5ElectiveGCrP - 26 / PR - 26yes
ZPXProfessional Practice, Abroaden5ElectiveCrPR - 52yes
ZZNKnowledge Discovery in Databasescs5ElectiveCr,ExP - 39 / PR - 13yes
ZPJaNatural Language Processing (in English)en5ElectiveExP - 26 / PR - 26no
Any year of study, summer semester
AbbreviationTitleL.Cr.Com.Compl.Hr. rangeGr.Op.
FLPFunctional and Logic Programmingcs5CompulsoryCr,ExP - 26 / Cp - 12 / PR - 14yes
LOGLogiccs5CompulsoryCr,ExP - 26 / COZ - 26yes
PRLParallel and Distributed Algorithmscs5CompulsoryCr,ExP - 39 / PR - 13yes
PESPetri Netscs5CompulsoryExP - 39 / Cp - 6 / PR - 7yes
VNVHigh Performance Computationscs, en5CompulsoryExP - 26 / Cp - 26yes
KKOData Coding and Compressioncs5Compulsory-optionalCr,ExP - 26 / PR - 26Cryptography, Coding and Securityyes
KRYCryptographycs5Compulsory-optionalCr,ExP - 39 / PR - 13Cryptography, Coding and Securityyes
JA3Conversation through Hot Current Issuescs, en3Compulsory-optionalCr,ExCOZ - 26Social Courseyes
AEUEnglish for Europecs, en3Compulsory-optionalCr,ExCOZ - 26Social Courseyes
FITHistory and Philosophy of Technologycs, en3Compulsory-optionalCrP - 26Social Courseno
FIKPhilosophy and the Culturecs, en3Compulsory-optionalCrP - 26Social Courseyes
HKOCommunication Skillscs, en3Compulsory-optionalCrCOZ - 26Social Courseyes
HKAAssertiveness and Conflictscs3Compulsory-optionalCrCOZ - 26Social Courseyes
PRMFundamentals of Lawcs, en3Compulsory-optionalCrP - 26Social Courseyes
HPRPresentation Skillscs3Compulsory-optionalCrCOZ - 26Social Courseyes
RETRhetoriccs, en3Compulsory-optionalCrP - 26Social Courseyes
HVRLeadership and People Managementcs, en3Compulsory-optionalCrCOZ - 26Social Courseyes
DJADynamic Languagescs5Compulsory-optionalExP - 26 / PR - 26Programming Languages,Computability and Complexityyes
SLOaComplexity (in English)en5Compulsory-optionalExP - 26 / PR - 26Programming Languages,Computability and Complexityyes
OPMOptimizationcs4Compulsory-optionalCr,ExP - 26 / Cp - 13Modelling, Simulation and Optimalizationyes
SNTSimulation Tools and Techniquescs5Compulsory-optionalCr,ExP - 39 / PR - 13Modelling, Simulation and Optimalizationyes
SSPStochastic Processescs (en)4Compulsory-optionalCr,ExP - 26 / CPP - 13Modelling, Simulation and Optimalizationyes
AGSAgents and Multiagent Systemscs5Compulsory-optionalExP - 26 / Cp - 13 / PR - 13Unconventional Computing Methodsyes
BINBio-Inspired Computerscs5Compulsory-optionalExP - 26 / Cp - 8 / PR - 18Unconventional Computing Methodsyes
EVOApplied Evolutionary Algorithmscs5ElectiveExP - 26 / Cp - 12 / PR - 14yes
ARCParallel System Architecture and Programmingcs5ElectiveCr,ExP - 26 / Cp - 12 / PR - 14yes
BZASecure Hardware Devicescs5ElectiveExP - 39 / PR - 13yes
BIFBioinformaticscs5ElectiveExP - 26 / Cp - 12 / PR - 14yes
DFAaDigital Forensics (in English)en5ElectiveExP - 26 / L - 12 / PR - 14yes
FVSFunctional Verification of Digital Systemscs5ElectiveExP - 26 / L - 8 / PR - 18no
FYOPhysical Opticscs, en5ElectiveExP - 26 / COZ - 13 / PR - 13yes
GISGeographical Information Systemscs5ElectiveCr,ExP - 26 / Cp - 10 / PR - 16yes
WAPInternet Applicationscs5ElectiveCr,ExP - 39 / PR - 13yes
MPRProject Managementcs5ElectiveCr,ExP - 26 / COZ - 4 / Cp - 2 / PR - 20yes
MEKEconomics for Managerscs5ElectiveCr,ExP - 26 / COZ - 26yes
HMRMarketingcs5ElectiveCr,ExP - 26 / C1 - 26yes
MMATMatrices and Tensors Calculuscs5ElectiveCr,ExP - 26 / CPP - 18 / O - 8yes
MULMultimediacs, en5ElectiveExP - 26 / Cp - 13 / PR - 13yes
NAVDesign of External Adapters and Embedded Systemscs5ElectiveExP - 26 / L - 16 / PR - 10yes
NSBProjecting, Administration and Securitycs5ElectiveCr,ExP - 26 / L - 12 / PR - 6yes
PISAdvanced Information Systemscs5ElectiveCr,ExP - 39 / PR - 13yes
POSAdvanced Operating Systemscs5ElectiveExP - 39 / PR - 13yes
PMAProject Managercs5ElectiveGCrP - 26 / COZ - 26yes
PDSData Communications, Computer Networks and Protocolscs, en5ElectiveExP - 39 / COZ - 4 / L - 2 / PR - 7yes
C2PImplementing Cisco IP Switched Networks (SWITCH)cs5ElectiveGCrL - 52no
C1PImplementing Cisco IP Routing (ROUTE)cs5ElectiveGCrL - 52yes
SPPFault Tolerant Systemscs5ElectiveCr,ExP - 26 / PR - 26yes
UXIaUser Experience and Design of User Interfaces and Services (in English)en5ElectiveGCrP - 16 / COZ - 10 / PR - 26yes
VIZaVisualization and CAD (in English)en5ElectiveGCrP - 26 / Cp - 12 / PR - 14yes
VYFComputational Photographycs5ElectiveGCrP - 26 / PR - 26yes
VGEComputational Geometrycs, en5ElectiveExP - 26 / PR - 26yes
MMZSAdvanced Methods of Signal Processingcs6ElectiveCr,ExP - 39 / Cp - 26yes
ZPXProfessional Practice, Abroaden5ElectiveCrPR - 52yes
ZPOImage Processingcs, en5ElectiveExP - 26 / PR - 26yes
ZRESpeech Signal Processingcs, en5ElectiveExP - 26 / COZ - 2 / Cp - 12 / PR - 12yes
All the groups of optional courses
Gr. Min. courses Courses
Cryptography, Coding and Security 1 BIS, KKO, KRY
Social Course 1 JA3, AEU, FCE, FIT, HKO, HKA, PRM, HPR, RET, HVR, JA3, AEU, FIT, FIK, HKO, HKA, PRM, HPR, RET, HVR
Programming Languages,Computability and Complexity 1 DJA, SLOa
Modelling, Simulation and Optimalization 1 OPM, SNT, SSP
Unconventional Computing Methods 1 SFC, AGS, BIN