## Additional Mathematical Chapters in Power and Electrical Engineering

- Published: Friday, 28 October 2016 08:56

**Programme Summary**

Major: 13.04.02 Power Industry and Electrical Engineering

Specialisation: Power Supply

Degree: Master

Course units:

Unit 1. Introduction. Mathematical methods in scientific research and engineering.

Unit 2. Mathematical theory of complex systems

Unit 3. Boolean logic in management and decision-making models

Unit 4. Extremum problems

Unit 5. Data classification methods

Unit 6. Equations of mathematical physics

Course contents:

Unit 1. Introduction. Mathematical methods in scientific research and engineering.

General value of mathematical methods at the current stage. Mathematical apparatus for informed decision-making in a situation of uncertainty. The role of students’ R&D activity in their becoming qualified specialists.

Unit 2. Mathematical theory of complex systems

Elements of discrete structures theory. Graphs, trees, networks. Directed and connected graphs. Application of graph theory in mathematical modelling of complex systems. Graph problems. Basics of queuing theory.

Unit 3. Boolean logic in management and decision-making models

Boolean logic definitions and axioms. Boolean expressions. Boolean functions. Multi-valued logic. K-valued functions. Discrete optimization problems. Fuzzy logic.

Unit 4. Extremum problems

Optimal solution criteria. Optimization problems classification. Mathematical programming methods (in the context of power industry). Approximate approaches to solving optimization problems. Multifactor and multicriteria problems. Response and convergence.

Unit 5. Data classification methods

Classification algorithms. Cluster analysis. Logical and structural discernment methods. Criteria description. Remote measures. Tree-based clustering. Fuzzy sets.

Unit 6. Equations of mathematical physics

Partial differential equations. First-order quasilinear and nonlinear equations. Nonlinear equations and their solution. Numerical solution of partial differential equations. Singular perturbation theory.

Activities:

- Teacher-led group activities in a classroom;
- Extracurricular self-study of the teacher’s assignments and tasks, including the use of educational facilities (obligatory);
- Office-hours.

Total hours – 72

Total points – 2

Classroom hours – 30

Unsupervised hours – 42

Midterm assessment – Pass/fail examination