bachelor's program without specializations supporting Major/Minor study

• Czech
• prof. RNDr. Jiří Barnat, Ph.D.

This study programme is recommended to students who intend to get fundamental knowledge in informatics and get acquainted with the general principals of making and using information technology. Besides, the basic orientation in the field students will get enough knowledge and practical training to be able to find employment in the field immediately after graduation. The programme offers some options to aim the profile of the education towards selected basic areas of computer science, such as computer graphics, data processing, information security, networking, artificial intelligence, and computer science.

Graduates may immediately start working on junior IT positions and will be ready to deepen their knowledge according to the needs of their employer. Graduates are also ready to continue their studies in any master degree programme related to informatics or to opt for some other discipline to get interesting interdisciplinary knowledge.

Requirements for successful graduation

• Obtain at least 180 credits overall and pass the final state exam.
• Obtain 10 credits for SBAPR subject and successfully defend Bachelor's Thesis. See more details.
• Fulfil requirements of a single-field study option or Major study option.
• Pass all the compulsory and elective courses of the program, selected study option, and selected focus with the highest possible graduation form.
• Obtain at least two credits from Physical training. See University Sport Centre.

Compulsory subjects of the program

Study option: Single-field study of Informatics

Compulsory subjects and other obligations of the study option

Focus groups

Recommended course of study

Study option: Major

Compulsory subjects and other obligations of the study option

Recommended course of study

Study option: Minor

Compulsory subjects and other obligations of the study option

Recommended course of study

bachelor's program without specializations

• Czech
• doc. RNDr. Eva Hladká, Ph.D.

The focus of the Programming and development bachelor program is design, creation, implementation, and program maintenance technology and in lesser amount also technical equipment of modern computer systems and digitally controlled systems. Graduates of the program will have a fundamental understanding of the whole computer systems life cycle, starting with computer architectures, programming and software engineering, through computer networks and operating systems and ending with the development of embedded systems. This technological view is supported by the necessary mathematical foundations and by an introduction to design principles of secure computer systems. An important feature of the program is the focus on continuous practical verification of attained knowledge, including semestral project and voluntary semester-long internship. The goal of this program is to focus the graduates on the solving the technological (real world) problems.

Graduates are able to immediately work as junior programmers, designers or members of a test team with fundamentals broad enough for following professional and career growth.

Requirements for successful graduation

• Obtain at least 180 credits overall and pass the final state exam.
• Obtain 10 credits for SBAPR subject and successfully defend Bachelor's Thesis. See more details.
• Pass all the compulsory and elective courses of the program with the highest possible graduation form.
• Obtain at least two credits from Physical training. See University Sport Centre.

Compulsory subjects of the program

Recommended course of study

bachelor's program without specializations supporting Major/Minor study

• Czech
• prof. RNDr. Jiří Zlatuška, CSc.

The aim of this bachelor's study program is to equip applicants with the necessary professional knowledge and the necessary minimum of psychological-pedagogical knowledge for successful work in education in the field of informatics. The program is also a program that in combination with a follow-up teaching program at MU, prepares graduates for the teaching profession. The degree is open only in the minor version in cooperation with the degrees of the Faculty of Science of Masaryk University.

The graduate is ready to continue studying in a follow-up teaching program at MU or can work in various training centers with a focus on IT training.

Requirements for successful graduation

• Obtain at least 180 credits overall and pass the final state exam.
• Obtain 10 credits for SBAPR subject and successfully defend Bachelor's Thesis. See more details.
• Pass all the compulsory and elective courses of the selected study option with the highest possible graduation form.

Study option: Minor

Compulsory subjects and other obligations of the study option

Recommended course of study

bachelor's program without specializations

• Czech
• doc. RNDr. Tomáš Pitner, Ph.D.

The program will meet the growing interest of both high school graduates and already employed jobseekers without formal education in the field who carry out professions where knowledge and skills in cybersecurity.

Graduates will be ready for a professional of system administrators, operators in information security operations center, CSIRT team members, lower- or middle management in cybersecurity; software engineers of security-relevant IT applications and systems, as well as cybersecurity trainers or assistants to cybersecurity managers.

Requirements for successful graduation

• Obtain at least 180 credits overall and pass the final state exam.
• Obtain 10 credits for SBAPR subject and successfully defend Bachelor's Thesis. See more details.
• Pass all the compulsory and elective courses of the program with the highest possible graduation form.
• Obtain at least two credits from Physical training. See University Sport Centre.

Compulsory subjects of the program

Recommended course of study

follow-up master's program (Czech) with specializations

• Czech
• prof. RNDr. Antonín Kučera, Ph.D.

The study of theoretical computer science focuses on a deeper understanding of basic principles underpinning the development of contemporary information technologies, including non-classical computational devices such as neural networks or quantum computers. Together with the active mastering of advanced theoretical as well as practical concepts, a special emphasis is put on the development of abstract thinking. The students gain a deeper understanding of advanced algorithms, principles of modern programming languages, and methods for verification and analysis of computer programs. Further, they understand the basic advantages and limitations of non-classical computational devices. After successfully completing the programme, the students are qualified for a wide variety of positions requiring complex expert skills.

After successfully completing the study programme, the students are qualified for a variety of IT positions including a developer, system architect, or verification engineer. Solid mathematical skills together with deep knowledge of non-trivial algorithms enable the students to find jobs in the financial sector. The acquired knowledge and skills may be well used also in the follow-up Ph.D. programme.

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Algorithms and Computational Models

Specialization Algorithms and Computational Models will familiarize students with problem solving methods, which are computationally demanding on conventional computers. Graduates are also familiar with the principles, benefits and limitations of non-classical computing systems such as neural networks or quantum computers.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Formal Verification and Program Analysis

The specialization Formal verification and analysis of programs focuses on formal methods for modeling, analysis, testing, and verification of computer programs as one of the basic building blocks of software systems development. Students get acquainted with the principles of modern verification tools and master practical skills required for working in teams responsible for ensuring the quality of the software products (quality assurance teams).

Compulsory subjects of the specialization

Recommended course of study

Specialization: Principles of Programming Languages

Specialization Principles of programming languages provide a deeper insight into the paradigms of modern programming languages and the structure of their compilers. Graduates can choose the optimal programming tools for a given application type and can quickly acquire new programming languages.

Compulsory subjects of the specialization

Recommended course of study

follow-up master's program (Czech) with specializations

• Czech
• doc. RNDr. Tomáš Brázdil, Ph.D.

The Artificial Intelligence and Data Processing program prepares students to work in the areas of design and development of intelligent systems and analysis of big data. These areas are currently undergoing very fast development and are becoming increasingly important. The program leads students to a thorough understanding of basic theoretical concepts and methods. During the study students also solve specific case studies to familiarize themselves with the currently used tools and technologies. Students will thus gain experience that will allow them to immediately use the current state of knowledge in practice, as well as solid foundations, which will enable them to continue to independently follow the developments in the field. The program is divided into four specializations that provide deeper knowledge in a chosen direction. Specializations share a common core, where students learn the most important mathematical, algorithmic, and technological aspects of the field. Machine Learning and Artificial Intelligence specialization lead graduates to gain in-depth knowledge of machine learning and artificial intelligence techniques and to gain experience with their practical application. Natural Language Processing specialization prepares graduates to work with natural languages (eg. Czech, English) in written and spoken form from the perspective of computer science. Data Management and Analysis specialization focus on data science, which creates value from big data by collecting, exploring, interpreting, and presenting data from different viewpoints with the goal of so-called business intelligence. Bioinformatics and Systems Biology specialization focuses on computational methods for automated analysis of large biological data and on creating predictive models of biological processes with the goal to better understand complex biological systems.

Due to the dynamic development of the area, the graduates have a wide range of career opportunities, with specific employment positions being created continuously during the course of their studies. Examples of different types of possible positions: positions in applied and basic research, typically concerning extensive data processing, often also in collaboration with experts from other disciplines such as biology or linguistics; positions in companies with an immediate interest in artificial intelligence and data processing (e.g., Seznam, Google) such as Data Scientist and Machine Learning Engineer; positions in companies that have extensive, valuable data (such as banking, telecom operators) or companies focusing on cloud data analysis, e.g., Business Intelligence Analyst or Data Analyst; graduates can also start their own start-up specializing in the use of artificial intelligence methods in a particular area.

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Bioinformatics and System Biology

Specialization Bioinformatics and System Biology is intended for students who want to acquire, besides the general knowledge of informatics, the latest knowledge in dynamically developing fields at the border of informatics and biology. By selecting this specialization, the student acquires deep knowledge about the processing, storage, and analysis of biological data or the use of formal methods for analysis and prediction of the behavior of biological systems.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Machine Learning and Artificial Intelligence

Machine Learning and Artificial Intelligence specialization leads graduates to gain in-depth knowledge of machine learning and artificial intelligence techniques and to gain experience with their practical application.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Data Management and Analysis

Data Management and Analysis specialization focuses on data science, which creates value from big data by collecting, exploring, interpreting, and presenting data from different viewpoints with the goal of so called business intelligence.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Natural Language Processing

Natural Language Processing specialization prepares graduates to work with natural languages (eg. Czech, English) in written and spoken form from the perspective of computer science.

Compulsory subjects of the specialization

Recommended course of study

follow-up master's program (Czech) with specializations

• Czech
• doc. RNDr. Petr Matula, Ph.D.

The study program Visual Informatics prepares students to work with image information and spatial scene models that involve or touch areas such as computer graphics, image processing, visualization, computer vision, virtual and expanded reality, video processing, pattern recognition, human-computer communication, 3D modeling, animation, graphic design, and machine learning.

The graduate will find application in various fields, such as the development of graphics applications, simulators, computer games, applications for multimedia processing and analysis, visualization of data, virtual and enhanced reality or creation of the professional-level graphic design. For example, a graduate may be an analyst, graphic designer, application programmer, research or development team leader. The acquired theoretical knowledge and practical skills allow them to thoroughly understand the problems solved and will make it possible in practice to use a wide range of modern technologies - from common mobile devices to dedicated systems with high computing power.

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Computer Graphics and Visualization

Computer Graphics and Visualization specialization offers the latest knowledge of informatics as well as the knowledge from the dynamically progressing area of computer graphics and its development based on interdisciplinary activities and use in other scientific fields. Students will be acquainted with the principles of graphics architectures, mathematical methods used to solve challenging imaging tasks. The studies provide students with a more in-depth knowledge focused on the design and implementation of software applications using advanced computer graphics technologies.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Image Processing and Analysis

Image Processing and Analysis specialization provides a comprehensive view of getting and processing image information, starting with simple image editing using point transformations or linear filters, and ending with sophisticated tools such as mathematical morphology or deformable models. Graduates will find their place in the development and deployment of imaging systems in a variety of fields, for example in medicine, biology, meteorological and geographic data processing, biometric applications, etc.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Computer Game Development

Development of Computer Games specialization gives students a comprehensive insight into how to create graphics aspects of contemporary multimedia entertainment software. Students will become acquainted with modern modeling, imaging and animation techniques, not only in the context of classic 2D and 3D imaging but also in the context of virtual or augmented reality.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Graphic Design

Graphic Design Specialization offers the study of graphic design and related disciplines in cooperation with the Graphic Design and Multimedia Studio (AGD + M). The studio focuses primarily on digital media, which nowadays replaces most of the printed forms. In terms of mastering high-quality graphic design, this is an identical problem, but digital media opens up new opportunities in communicating with the consumer. For these media, concurrent informatic education of students is necessary and is developed in the course of this specialization. Students work on topics such as game making, interactive information graphics, creating interactive media applications, generative programming, animation, video, 3D digital modeling and 3D printing, e-publishing, web-design, font creation, and more.

Compulsory subjects of the specialization

Recommended course of study

follow-up master's program (Czech) with specializations

• Czech
• prof. RNDr. Václav Matyáš, M.Sc., Ph.D.

The study program Computer Systems, Communications and Security aims to lead its graduate to an understanding of architectures, principles, design methods and operations of secure computer systems, respecting both hardware and software aspects, including network communications. The graduate will also gain deeper knowledge in of the chose specializations of the programme.

Program graduate will be prepared to design and maintain operations of secure computer systems with respect to both hardware and software aspects, including network communications. Graduate in the specialization Hardware Systems will be prepared to design solutions to practical problems with the use of computer hardware, to creatively adjust hardware systems and to deploy them. Graduate in the specialization Software Systems will be ready to take various roles in the IT departments taking part in the development and operations of information systems and in the use of IT for support of organizations. Graduates of the specialization Information Security will be able to work in organizations developing or providing systems respecting security requirements, but also in advanced management and operations of such systems. Graduate on the specialization Computer Networks and Communications will be able to work as an architect of large networks, manage network operations and related projects, or to work as an expert in applications or security of computer networks.

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Hardware Systems

Specialization Hardware Systems provides specific knowledge to work with programmable structures extending into parallel and distributed systems, computer networks and cryptography. Teaching emphasizes the balance of courses providing the necessary theoretical basis and courses focusing on practical skills that are involved in the design, implementation, analysis, testing and operation of embedded systems. An integral part of the study is also working on a project with a small team and oriented towards experimental and prototype solutions to interesting problems associated with the solution of practical problems arising from research and development activities of the faculty.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Software Systems

Specialization Software Systems will lead the graduate to knowledge and skills necessary in all stages of development and changes in extensive software systems, especially information systems. Emphasis is set on knowledge necessary at the design and development of systems with on deployed modern software technologies.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Information Security

Specialization Information Security focuses on areas of security in computer systems and networks, cryptography and its applications. The aim is to prepare such a graduate who will be able to work in a variety of roles critical to ensure security of ICTs – specific profiling (e.g., toward cryptography, technological aspects or security management) beyond a common basis of field of study is left to the choice of the student.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Networks and Communication

Computer Networks and Communications specialization focuses on acquiring advanced knowledge of architectures, operation principles, and principles of operation of computer networks. The field is conceived to satisfy both those interested in practically oriented advanced information and knowledge in the field of computer networks and their applications, as well as those interested in deeper acquaintance with the theoretical fundaments of the field and the study of computer networks as a special case of distributed systems. In addition to knowledge of computer networks, the student acquires knowledge of security, principles of working with multimedia data, basic knowledge of parallel systems and necessary theoretical background.

Compulsory subjects of the specialization

Recommended course of study

follow-up master's program (Czech) with specializations

• Czech
• doc. RNDr. Tomáš Pitner, Ph.D.

The study program develops unique competence profile of the student based on the intersection of multiple areas of knowledge that are relevant for managing the development of software systems and services, as well as cybersecurity management. A specific feature is a focus on strategic and operational management related to the targeting, design, implementation, and operation of software systems and services within the context of organizations and different types with a possible focus on their safe operation or IT services. In addition to developing basic theoretical and technological knowledge and practical developmental skills acquired in the bachelor's study, the content of the follow-up study is extended by other dimensions such as theories and practices of team, project and process management, communication, soft skills and knowledge essential to functioning in economic relations - the basics of marketing, law and others, which especially (but not only) concerns the specialization of service development. The cybersecurity study takes into account aspects of overlapping computer data processing outside of tightly defined system perimeters (e.g. impacting on critical infrastructure), thus enabling a specific multidisciplinary overlap of technical, social and legal aspects in this area.

The graduates find employment in companies and organizations of different sizes and orientation, but they also get the motivation and the possibility of basic preparation for their own innovative business. The strong competitive advantage of the program graduates is the ability to solve complex management-related problems of the development of systems and services for which they can use the acquired skills by the study. Their potential is predestined to hold managerial positions, such as the Chief Information Officer (CIO), project manager, and risk manager. Graduates of the cybersecurity management specialization will find application primarily in companies and institutions that need specialists able to work with relevant coordinating institutions and ensure the management of cybersecurity processes. These are positions as a cybersecurity manager and Chief Information Security Officer (CISO).

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Software Systems Development and Management

Software Systems Development and Managment specialization focuses on software engineering, i.e., to acquire the knowledge and skills needed at all stages of development, management and maintenance of information, and other types of large software systems. The specialization emphasizes the ability to analyse and specify system requirements, system design, and implementation and deployment.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Service Development Management

Services Development Management specialization follows the current large shift from the traditional paradigm of IT design to IT as a service and from product-oriented economy to service-oriented one. Problems and tasks in IT are becoming more complex and the knowledge of IT technology is not sufficient for solving them. A multidisciplinary view is the core of this specialization. Students will gain not only sound IT knowledge (programming, databases, computer security, networks, etc.), but also the skills necessary to understand problems in their complexity (marketing, management, finance or law) as well as necessary communication competencies.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Cybersecurity Managment

Cybersecurity Management specialization takes into account the aspects of computer data processing beyond the well-defined system perimeters (e.g., critical infrastructure impact), reflected in the area of cybersecurity and allowing a specific multi-disciplinary overlap of both technical and social and legal aspects of cybersecurity.

Compulsory subjects of the specialization

Recommended course of study

follow-up master's program (Czech) without specializations supporting Major/Minor study

• Czech
• prof. RNDr. Jiří Zlatuška, CSc.

The aim of this program is to prepare graduates with a range of competencies necessary for the teaching profession. They have both knowledge and skills regarding pupil education, classroom management, and addressing specific learning situations and pupils. The knowledge of individual subjects and the didactic competence ensure a high level of knowledge of the given discipline, which is in accordance to the expected requirements of the secondary schools and the ability of the graduates to mediate the knowledge of the given discipline using a wide range of didactic methods. Graduates are also equipped with the skills and abilities to lead pedagogical communication with students, their parents, colleagues and other subjects (social and communication competencies), educate and motivate pupils, manage classes, participate in school activities and solve specific situations associated with teaching pedagogical-psychological competencies). In addition, graduates are equipped with diagnostic and special pedagogical competencies that enable them to recognize the individual educational and other needs of students, to prepare individual plans for students, to work with counseling specialists, and to apply a wide range of support measures within an inclusive approach. In addition to pedagogical abilities, this program intends to prepare graduates also for the position of school information system manager and administrator.

Graduates of this master degree study program will primarily act as teachers of relevant subjects at secondary schools (grammar schools and secondary technical schools) with accordance of the accredited fields and their focus. In the case the IT administration study plan, graduates will be able to operate in positions of IT administrators at secondary schools.

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Fulfil requirements of IT Teacher and Administrator study option or Major study option.
• Pass all the compulsory and elective courses of the program, selected study option with the highest possible graduation form.

Compulsory subjects of the program

Study option: Teacher of Informatics and IT administrator

Study option The Informatics Teacher and Network Administrator prepares students for professional positioning as a Network Administrator at a secondary school in parallel with the pedagogical training necessary to obtain secondary school approbation in Informatics.

Compulsory subjects and other obligations of the study option

Recommended course of study

Study option: Minor

This study option leads students in cooperation with the Faculty of Science of Masaryk University to obtain two secondary school approbations.

Compulsory subjects and other obligations of the study option

Recommended course of study

follow-up master's program (English) with specializations

• English
• doc. RNDr. Petr Matula, Ph.D.

The study program Visual Informatics prepares students to work with image information and spatial scene models that involve or touch areas such as computer graphics, image processing, visualization, computer vision, virtual and expanded reality, video processing, pattern recognition, human-computer communication, 3D modeling, animation, graphic design, and machine learning.

The graduate will find application in various fields, such as the development of graphics applications, simulators, computer games, applications for multimedia processing and analysis, visualization of data, virtual and enhanced reality or creation of the professional-level graphic design. For example, a graduate may be an analyst, graphic designer, application programmer, research or development team leader. The acquired theoretical knowledge and practical skills allow them to thoroughly understand the problems solved and will make it possible in practice to use a wide range of modern technologies - from common mobile devices to dedicated systems with high computing power.

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Computer Graphics and Visualization

Computer Graphics and Visualization specialization offers the latest knowledge of informatics as well as the knowledge from the dynamically progressing area of computer graphics and its development based on interdisciplinary activities and use in other scientific fields. Students will be acquainted with the principles of graphics architectures, mathematical methods used to solve challenging imaging tasks. The studies provide students with a more in-depth knowledge focused on the design and implementation of software applications using advanced computer graphics technologies.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Image Processing and Analysis

Image Processing and Analysis specialization provides a comprehensive view of getting and processing image information, starting with simple image editing using point transformations or linear filters, and ending with sophisticated tools such as mathematical morphology or deformable models. Graduates will find their place in the development and deployment of imaging systems in a variety of fields, for example in medicine, biology, meteorological and geographic data processing, biometric applications, etc.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Computer Game Development

Development of Computer Games specialization gives students a comprehensive insight into how to create graphics aspects of contemporary multimedia entertainment software. Students will become acquainted with modern modeling, imaging and animation techniques, not only in the context of classic 2D and 3D imaging but also in the context of virtual or augmented reality.

Compulsory subjects of the specialization

Recommended course of study

follow-up master's program (English) with specializations

• English
• prof. RNDr. Václav Matyáš, M.Sc., Ph.D.

The study program Computer Systems, Communications and Security aims to lead its graduate to an understanding of architectures, principles, design methods and operations of secure computer systems, respecting both hardware and software aspects, including network communications. The graduate will also gain deeper knowledge in of the chose specializations of the programme.

Program graduate will be prepared to design and maintain operations of secure computer systems with respect to both hardware and software aspects, including network communications. Graduate in the specialization Hardware Systems will be prepared to design solutions to practical problems with the use of computer hardware, to creatively adjust hardware systems and to deploy them. Graduate in the specialization Software Systems will be ready to take various roles in the IT departments taking part in the development and operations of information systems and in the use of IT for support of organizations. Graduates of the specialization Information Security will be able to work in organizations developing or providing systems respecting security requirements, but also in advanced management and operations of such systems. Graduate on the specialization Computer Networks and Communications will be able to work as an architect of large networks, manage network operations and related projects, or to work as an expert in applications or security of computer networks.

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Hardware Systems

Specialization Hardware Systems provides specific knowledge to work with programmable structures extending into parallel and distributed systems, computer networks and cryptography. Teaching emphasizes the balance of courses providing the necessary theoretical basis and courses focusing on practical skills that are involved in the design, implementation, analysis, testing and operation of embedded systems. An integral part of the study is also working on a project with a small team and oriented towards experimental and prototype solutions to interesting problems associated with the solution of practical problems arising from research and development activities of the faculty.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Software Systems

Specialization Software Systems will lead the graduate to knowledge and skills necessary in all stages of development and changes in extensive software systems, especially information systems. Emphasis is set on knowledge necessary at the design and development of systems with on deployed modern software technologies.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Information Security

Specialization Information Security focuses on areas of security in computer systems and networks, cryptography and its applications. The aim is to prepare such a graduate who will be able to work in a variety of roles critical to ensure security of ICTs – specific profiling (e.g., toward cryptography, technological aspects or security management) beyond a common basis of field of study is left to the choice of the student.

Compulsory subjects of the specialization

Recommended course of study

follow-up master's program (English) with specializations

• English
• doc. RNDr. Tomáš Pitner, Ph.D.

The study program develops unique competence profile of the student based on the intersection of multiple areas of knowledge that are relevant for managing the development of software systems and services, as well as cybersecurity management. A specific feature is a focus on strategic and operational management related to the targeting, design, implementation, and operation of software systems and services within the context of organizations and different types with a possible focus on their safe operation or IT services. In addition to developing basic theoretical and technological knowledge and practical developmental skills acquired in the bachelor's study, the content of the follow-up study is extended by other dimensions such as theories and practices of team, project and process management, communication, soft skills and knowledge essential to functioning in economic relations - the basics of marketing, law and others, which especially (but not only) concerns the specialization of service development. The cybersecurity study takes into account aspects of overlapping computer data processing outside of tightly defined system perimeters (e.g. impacting on critical infrastructure), thus enabling a specific multidisciplinary overlap of technical, social and legal aspects in this area.

The graduates find employment in companies and organizations of different sizes and orientation, but they also get the motivation and the possibility of basic preparation for their own innovative business. The strong competitive advantage of the program graduates is the ability to solve complex management-related problems of the development of systems and services for which they can use the acquired skills by the study. Their potential is predestined to hold managerial positions, such as the Chief Information Officer (CIO), project manager, and risk manager. Graduates of the cybersecurity management specialization will find application primarily in companies and institutions that need specialists able to work with relevant coordinating institutions and ensure the management of cybersecurity processes. These are positions as a cybersecurity manager and Chief Information Security Officer (CISO).

Requirements for successful graduation

• Obtain at least 120 credits overall and pass the final state exam.
• Obtain 20 credits from SDIPR subject and successfully defend Master's Thesis. See more details.
• Pass all the compulsory and elective courses of the program and selected specialization with the highest possible graduation form.
• Fulfil requirements of at least one specialization.

Compulsory subjects of the program

Specialization: Software Systems Development and Management

Software Systems Development and Managment specialization focuses on software engineering, i.e., to acquire the knowledge and skills needed at all stages of development, management and maintenance of information, and other types of large software systems. The specialization emphasizes the ability to analyse and specify system requirements, system design, and implementation and deployment.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Service Development Management

Services Development Management specialization follows the current large shift from the traditional paradigm of IT design to IT as a service and from product-oriented economy to service-oriented one. Problems and tasks in IT are becoming more complex and the knowledge of IT technology is not sufficient for solving them. A multidisciplinary view is the core of this specialization. Students will gain not only sound IT knowledge (programming, databases, computer security, networks, etc.), but also the skills necessary to understand problems in their complexity (marketing, management, finance or law) as well as necessary communication competencies.

Compulsory subjects of the specialization

Recommended course of study

Specialization: Cybersecurity Managment

Cybersecurity Management specialization takes into account the aspects of computer data processing beyond the well-defined system perimeters (e.g., critical infrastructure impact), reflected in the area of cybersecurity and allowing a specific multi-disciplinary overlap of both technical and social and legal aspects of cybersecurity.

Compulsory subjects of the specialization

Recommended course of study

This list has been built on 4. 8. 2020. Some minor changes may appear during the year, for the current and most up-to-date details see IS MU.

MB141 Linear algebra and discrete mathematics

zk 2/2 3 kr., jaro

• doc. RNDr. Martin Čadek, CSc.
• Prerequisities: ! NOW ( MB151 ) && ( ! MB151 || ! MB154 ) && ( ! MB101 || ! MB104 )
  
• Goals: Introduction to linear algebra, analytical geometry and elementary number theory.
• Learning outcomes: At the end of this course, students should be able to: understand basic concepts of linear algebra; apply these concepts to iterated linear processes; solve basic problems in analytical geometry; apply elemntary number theory on kryptography.
• Syllabus: Obsah kurzu Lineární:
  1. Geometry in plane. Complex numbers. 2. Systems of linear equations. Gauss elimination. 3. Operation with matrices. Inverse matrix, determinent. 4. Vector spaces, báses, dimension, coordinates. 5. Linear mappings, eigenvalues and eigenvectors. 6. Linear processes. 7. Afinne geometry. 8. Scalar product, Eukleidian geometry. 9. Linear optimization. 10. Elementry number theory. 11. Congruences. 12. Application in kryptography.

MB142 Applied math analysis

zk 2/2 3 kr., podzim

• doc. Mgr. Petr Hasil, Ph.D. - doc. RNDr. Michal Veselý, Ph.D.
• Prerequisities: ! MB152 && ! NOW ( MB152 ) && ! MB102 && ! MB202
  High school mathematics
• Goals: This is a basic course of mathematical analysis. The content is differential and integral calculus and infinite series. Students will understand practical methods and will be able to apply these methods to concrete problems. The course places more emphasis on examples.
• Learning outcomes: At the end of the course students will be able to:
  work practically with the derivative and (indefinite and definite) integral;
  analyse the behaviour of functions;
  understand the use of infinite number series and power series;
  understand selected applications of the calculus;
  apply the methods of the calculus to concrete problems.
• Syllabus: Continuous functions and limits
  Derivatives of functions with applications
  Indefinite integrals
  Riemann integral and its applications
  Series

MB143 Design and analysis of statistical experiments

zk 2/2 3 kr., jaro

• prof. RNDr. Jan Slovák, DrSc.
• Prerequisities: MB141 || MB142 || MB101 || MB201 || MB102 || MB202
  
• Goals: Introductory course to educate students in descriptive statistics, theory of probability, random values and probabilistic distributions, including the theory of hypothesis testing.
• Learning outcomes: Upon completing this course, students will be able to perform basic computer aided statistical data set analysis in R language, resulting in tables, graphs and numerical characteristics; will understand basic probability concepts; will be able to solve probability tasks related to explained theory (in some cases using statistical software); will be able to generate realizations of selected types random variables using statistical software; has basic knowledge of statistical hypothesis testing, will be able carry out tests in statistical software and interpret the results.
• Syllabus: Introduction to the probability theory.
  Random variables and vectors. Probability distribution and distribution function.
  Discrete and continuous random variables and vectors. Typical distribution laws. Simultaneous and marginal distributions.
  Stochastic independence of random variables and vectors. The sequence of independent trials.
  Quantiles, expectation, variance, covariance, correlation coeficient and their properties.
  Weak law of large number and central limit theorem.
  Data files, empirical characteristics and graphs, numerical characteristics. Descriptive statistics in R language.
  Random sample, point and interval estimators.
  Basics of testing hypothesis. Testing hypothesis in R language.
  Regression analysis in R language.

MB151 Linear models

zk 2/2 3 kr., jaro

• doc. Mgr. Ondřej Klíma, Ph.D.
• Prerequisities: ! MB101 && ! MB201
  
• Goals: Introduction to linear algebra and analytical geometry.
• Learning outcomes: At the end of this course, students should be able to: understand basic concepts of linear algebra; apply these concepts to iterated linear processes; solve basic problems in analytical geometry.
• Syllabus: The course is the first part of the four semester block of Mathematics. In the entire course, the fundamentals of general algebra and number theory, linear algebra, mathematical analysis, numerical methods, combinatorics, as well as probability and statistics are presented. Content of the course Linear models:
  1. Introduction (3 weeks) -- motivating examples, real and complex numbers, roots of real polynomials, matrix multiplication, recurrence relations (interest computation and recurrence in combinatorics), geometry in two dimensions.
  2. Vector spaces (4 weeks) -- systems of linear equalities, matrix calculus (determinant and inverse matrix), vector spaces (formal definition and examples), linear independence, basis, coordinates, scalar product, length of vector, orthogonality, explicit formulas for recurrence relations.
  3. Linear mappings (2 weeks) -- representation of linear mappings, eigenvalues and eigenvectors; linear transformations in three dimensions, iterated linear processes (population models and discrete Markov chains).
  4. Analytical geometry (4 weeks) -- affine and Euclidean spaces (line, plane descriptions, angle, length, volume); systems of linear (in)equalities - linear programming problem; elementary classification of quadrics.

MB152 Differential and Integral Calculus

zk 2/2 3 kr., podzim

• doc. Mgr. Petr Hasil, Ph.D. - doc. RNDr. Michal Veselý, Ph.D.
• Prerequisities: ( ! MB202 && ! MB102 )
  High school mathematics
• Goals: This is a basic course of the mathematical analysis. The content is the differential and integral calculus and the theory of infinite series. Students will understand theoretical and practical methods and will be able to apply these methods to concrete problems. The emphasis on theory and examples is balanced in the course.
• Learning outcomes: At the end of the course students will be able to:
  work both practically and theoretically with the derivative and (indefinite and definite) integral;
  analyse the behaviour of functions of one real variable.
  understand the theory and use of infinite number series and power series;
  understand the selected applications of the calculus;
  apply the methods of the calculus to concrete problems.
• Syllabus: Continuous functions and limits
  Derivative and its applications
  Elementary functions
  Indefinite integral
  Riemann integral and its applications
  Introduction to differential (and integral) calculus of functions of several variables
  Infinite series

MB153 Statistics I

zk 2/2 3 kr., jaro

• doc. Mgr. Jan Koláček, Ph.D.
• Prerequisities: ( MB151 || MB101 || MB201 || MB152 || MB102 || MB202 ) && ( ! MB103 && ! MB203 && ! MV011 )
  Prerequisites: calculus in one and several variables, basics of linear algebra.
• Goals: Introductory course to educate students in descriptive statistics, theory of probability, random values and probabilistic distributions, including the theory of hypothesis testing.
• Learning outcomes: Upon completing this course, students will be able to perform basic computer aided statistical data set analysis in R language, resulting in tables, graphs and numerical characteristics; will understand basic probability concepts; will be able to solve probability tasks related to explained theory (in some cases using statistical software); will be able to generate realizations of selected types random variables using statistical software; has basic knowledge of statistical hypothesis testing, will be able carry out tests in statistical software and interpret the results.
• Syllabus: Introduction to the probability theory.
  Random variables and vectors. Probability distribution and distribution function.
  Discrete and continuous random variables and vectors. Typical distribution laws. Simultaneous and marginal distributions.
  Stochastic independence of random variables and vectors. The sequence of independent trials.
  Quantiles, expectation, variance, covariance, correlation coeficient and their properties.
  Weak law of large number and central limit theorem.
  Data files, empirical characteristics and graphs, numerical characteristics. Descriptive statistics in R language.
  Random sample, point and interval estimators.
  Basics of testing hypothesis. Testing hypothesis in R language.
  Regression analysis in R language.

MB154 Discrete mathematics

zk 2/2 3 kr., podzim

• prof. RNDr. Jan Slovák, DrSc.
• Prerequisities: ! MB104 && ! MB204 && ( MB101 || MB201 || MB151 || MB102 || MB202 || MB152 )
  High school mathematics. Elementary knowledge of algebraic and combinatorial tasks.
• Goals: Tho goal of this course is to introduce the basics of theory of numbers.
• Learning outcomes: At the end of this course, students should be able to: understand and use methods of number theory to solve simple tasks; understand approximately how results of number theory are applied in cryptography: understand basic computational context; model and solve simple combinatorial problems.
• Syllabus: Number theory:
  divisiblity (gcd, extended Euclid algorithm, Bezout); numerics of big numbers (gcd, modular exponential); prime numbers (properties, basic theorems of arithmetics, factorization, prime number testing (Rabin-Miller, Mersenneho prime numbers); congruences (basic properties, small Fermat theorem; Euler theorem; linear congruences; binomial congruences a primitiv roots; discrete logarithm;
  Number theory applications:
  short introduction to asymetric cryptography (RSA, DH, ElGamal, DSA, ECC); basic coding theory (linear and polynomial codes);
  Combinatorics:
  reminder of basics of combinatorics; generalized binomial theorem; combinatorial identities; Catalan numbers; formal power series; (ordinary) generating functions; exponential generating functions; probabilistic generating functions; solving combinatorial problems with the help of generating functions; solving basic reccurences (Fibonacci).

MA002 Calculus

zk 2/2 3 kr., podzim

• Mgr. Peter Šepitka, Ph.D.
• Prerequisities: Basic knowledge from the calculus and multivariable calculus
• Goals: This course extends the basic knowledge from mathematical analysis. It is devoted to the basic study of systems of linear differential equations, line integrals, the theory of complex functions of complex variable, and calculus of variations.
• Learning outcomes: At the end of the course students should be able to: to define and interpret the basic notions used in the fields mentioned above; to formulate relevant mathematical theorems and statements and to explain methods of their proofs; to use effective techniques utilized in these subject areas; to apply acquired pieces of knowledge for the solution of specific problems; to analyse selected problems from the topics of the course.
• Syllabus: Systems of linear differential equations.
  Line integral.
  Analysis in complex domain.
  Calculus of variations.

MA007 Mathematical Logic

zk 2/1 3 kr., podzim

• prof. RNDr. Antonín Kučera, Ph.D.
• Prerequisities: MB005 || MB101 || MB201 || PřF:M1120 || PřF:M1125
  Students should have passed the course MB005 Foundations of mathematics or the course MB101 Mathematics I. A recommended course is MB008 Algebra I.
• Goals: The course covers basic results about propositional and first order logic, including Gödel's completeness and incompleteness theorems.
• Learning outcomes: At the end of this course, students should be able to:
  understand the difference between formal notions and notions defined at a meta-level;
  understand the difference between validity and provability;
  understand the syntax and semantics of first-order logic;
  understand and appreciate the fundamental ideas in the proofs of Gödel's completeness and incompleteness theorems.
• Syllabus: Propositional calculus: propositional formulas, truth, provability, completeness.
  First-order logic: syntax, semantics.
  A deductive system for first-order logic. Provability, correctness.
  Completeness theorem: theories, models, Gödel's completeness theorem
  Basic model theory, Löwenheim-Skolem theorem
  Gödel's incompleteness theorem.

MA009 Algebra II

zk 2/2 3 kr., jaro

• doc. Mgr. Michal Kunc, Ph.D.
• Prerequisities: ( MB008 || MV008 || program ( N - IN )|| program ( N - AP )|| program ( N - SS ))
  
• Goals: After passing the course, students will be able to: use the basic notions of the theory of lattices and universal algebra; define and understand basic properties of lattices and complete lattices; verify simple algebraic statements; apply theoretical results to algorithmic calculations with operations and terms.
• Learning outcomes: After passing the course, students will be able to: use the basic notions of the theory of lattices and universal algebra; define and understand basic properties of lattices and complete lattices; verify simple algebraic statements; apply theoretical results to algorithmic calculations with operations and terms.
• Syllabus: Lattice theory: semilattices, lattices, lattice homomorphisms, modular and distributive lattices, Boolean algebras, complete lattices, fixed point theorems, closure operators, completion of partially ordered sets, Galois connections, algebraic lattices.
  Universal algebra: algebras, subalgebras, homomorphisms, term algebras, congruences, quotient algebras, direct products, subdirect products, identities, varieties, free algebras, presentations, Birkhoff's theorem, completeness theorem for equational logic, algebraic specifications, rewriting systems.