4 semester


Name of the discipline

Fundamentals of Mathematical Electronics


Course of Study

2, mathematics (research and development)


Semester of training



Amount of credits




Sergey Bukhtoyarov


Objectives of studying the discipline

Studying by the students-mathematicians of the scientific and design direction of the physical and mathematical foundations of the implementation in the modern software and hardware “Systems on the Crystal” of logical and arithmetic transformations, switching and storage of data presented in digital and analog form.

As a result of studying the academic discipline, the student must:


– basic concepts, definitions, mathematical and algorithmic descriptions of the basic processes of input, transmission, conversion, storage, switching, encryption and decryption of data in digital and analog hardware and software information processing systems;

– building algorithms and electrical circuits of the main components of digital and analog hardware and software information processing systems;

be able to:

– use the acquired knowledge in preparing descriptions of the behavior of various register blocks and complex software and hardware systems for processing information using special algorithmic languages ​​and analyzing the results of automatic (automated) synthesis of their electrical circuits;


– the basic methods of designing the basic elements and hardware blocks of software and hardware systems;

– the main features of the use of special languages ​​in describing the behavior of basic elements and hardware blocks of software and hardware systems;

– the main methods of using software in describing the behavior and design of hardware elements and blocks of hardware and software systems.



Disciplines: “Introduction to the specialty”, “Operating systems and environments”, “Discrete mathematics and graph theory”, “The theory of Boolean functions”, “Physics”, “Physical fundamentals of electronics”.


Contents of the discipline

Logical elements.
Flow control.
Elements of memory.
The main blocks of the digital information processing system.
Analog signal processing.


Recommended literature

1. G.G. Kazennov. Basics of designing integrated circuits and systems. – Moscow: BINOM. Laboratory of Knowledge, 2005. – 295s.
2. AI Kuchumov Electronics and circuitry .- M .: Helios ARV, 2002. -304p.
3. Ugryumov E.P. Digital circuitry .- S.P.B .: BVH, 2000. -582p.
4. Bystrov Yu.A., Mironenko IG, Khizha G.S. Electronic circuits and devices. Textbook for high schools .- S.Pb .: Energoatomizdat. St. Petersburg Department, 1999. – 512s.
5. Horovits P., Hill U. The art of circuitry .- Moscow: Mir, 1998.- 704p.
6. Gursky LI, Stepanets V. Ya. Designing of microcircuits. – Mn .: Navuka i tehnika, 1991. – 295s.
7. Watanabe M., Asada K., Kani K., Otsuki T. Designing the VLSI .- M .: Mir, 1988. -301s.
8. Solomatin N.M. Logical elements EVMM-M .: Higher School, 1987. -144s.
9. Muroga S. System design of super-large integrated circuits: In 2 books. Book 1. Trans. with the English .- M .: Mir, 1985. – 288p.
10. Mulyarchik SG Integral circuitry (functional-logical level). – Mn .: BSU Publishing House, 1983.- 189p.


Teaching methods

Reading of lectures, carrying out of control works, performance of laboratory works.


Language of teaching



Conditions (requirements), current control

When studying the discipline, it is recommended to use the following types of control:
– entrance control of knowledge and skills of students at the beginning of the study of discipline;
– the current control, that is, a regular monitoring of the level of mastering the material at lectures and during the performance of laboratory work;
– Interim control at the end of the study of the discipline during the control work;
– self-control exercised by the student in the process of studying the discipline in preparation for control activities;
– Final control of the discipline in the form of an examination. Assessment on the exam is given taking into account: 70% -experience of laboratory work on computers and test works, 30% -an verbal response.


Form of current certification