Faculty of Management

• Evolutions of organization and management theory.
• The essence of strategy and strategic management - genesis and evolution of concepts, review of contemporary definitions.
• Methods of strategic analysis and decision support in the choice of the direction of organization's development.
• Competitive advantage of the company and its main sources.
• Methods of strategic analysis of the further and closer environment.
• Types and hierarchy of business information systems.
• The place and role of the IT system in the business management system.
• Data mining as a decision support tool.
• The essence of the lean management concept, benefits and applications.
• Corporate Social Responsibility and methods of its implementation in today's organizations.
• Main theories of motivation and their implications for management practice.
• Organizational culture and its role in managing the organization.
• Elements of corporate finance - selection of financing sources for the company.
• The role of the management accounting system in the process of creating value.
• The essence of marketing and the specificity of marketing activities in economy.
• Marketing-mix elements.
• Launching new products in the market.
• Contemporary concepts of Quality Management.
• Employer branding - the essence and ways.
• Human capital management in organizations.
• Challenges facing today's management of organizations.
• The category of efficiency in management sciences.
• Key performance indicators in company management.
• Analysis and the meaning of the product cycle.
• Change management process and its phases.
• Business models - the essence, elements, classification.
• Integrated reporting as a new approach to contemporary business reporting.
• Logistic management and supply chain management.
• The use of operational research in management.
• Closed-loop economy management.
• Leadership in organization - new concepts.
• Heuristics in solving management problems.
• Behavioral company theory.

Mechanics: 

• Properties of a force couple.
• Cases of reduction of the spatial force systems.
• Equilibrium conditions of a force system.
• Instant center of rotation and acceleration.
• Velocity and acceleration of a point in complex motion.
• The principles of mechanics used in the dynamics of the system of point particles.
• Dynamic equations in translational, rotational, planar and spherical motion of a solid.
• Kinetic energy of a solid in translational, rotational, planar and spherical motion.
• Lagrange equations of the first and second kind.

Strength of materials: 

• Stress-strain curve, the tensile properties of materials.
• Generalized Hooke’s law for normal and shear strain components.
• Components of stress tensor and strain tensor (special cases: plane stress, plane strain, spatial stress state, spatial strain state), definition of principal stresses.
• Pure bending, internal moment and stress relations, differential equation for the elastic curve of a beam.
• Cylindrical shafts in torsion – distribution of the shear stress, equations for maximum shear stress and angle of twist.
• Material effort, strength theories, equivalent stress.
• Stress concentration phenomenon: stress distribution in notched element,  stress concentration factor definition and variables it depends on.
• Wöhler curve and its description: Basquin equation, concepts of limited fatigue strength and fatigue limit.

Construction and operation of machines:

• Characteristics of belt drives and their application in machine design.
• Problems of transmission shafts design and calculations.
• Design of bolted joints working under static and varying load conditions.
• Construction of bearing systems with application of rolling-element bearings.
• Factors influencing the fatigue strength of machine elements.
• Characteristics of contemporary permanent joints.
• Strength conditions of statically loaded machine elements.
• Clutches – selection criteria, basic calculations, examples.
• Application and functions of lubricants in machine construction. Characteristics of seals used in machine construction.

Drive systems: 

• Selection criteria of drive systems to various mechanical devices.
• Construction, operation and modelling of electric, hydraulic and pneumatic drives.
• Modern IT tools used to design machine parts and model their movement.

Acoustics:

• The properties of the sound and its sources.
• Contemporary applications of acoustics.
• Methods for conditioning of the acoustics of rooms.
• The purpose of audio engineering.

Robotics:

• The construction and modelling of robots.
• Simple and inverse kinematics task. Statics and dynamics problems.
• Control Systems in Robotics.
• What is the accuracy and repeatability of the manipulator.
• What are the Euler angels and what are the advantages of using them to describe the orientation of the effector of the robot.
• What is the number of degrees of freedom of manipulator.
• What are the holonomic constraints and whether the mobile robot can be a holonomic object.

Modelling:

• Linear and nonlinear models of objects mechanical and electrical and technological processes.
• Classical mechanic, fluid mechanics and thermodynamics problems.
• Static and dynamic characteristics of dynamic objects (time and frequency domain).
• Structural dynamics, partial differential equations usage for object modelling.
• Eigenproblem of the multidimensional objects (mode shapes).

• Theory of information, data coding.
• Basics of computational methods: computer arithmetic, interpolation, approximation, numerical integration, systems of linear equations, solving differential equations.
• Operating systems: kernel, process, thread, shell. Techniques of building operating systems.
• Analog and digital signals, signal spectrum, sampling, Fourier Transform
• Modulation techniques.
• ISO/OSI model of telecommunications networks.
• Transmission media and their characteristics.
• IPv4 and IPv6 networks.
• MAC and routing protocols.
• Traffic engineering in TCP and MPLS networks.
• Wireless networks: cellular and WLAN.
• Multimedia: compression and transmission of sound and image.
• Quality of Service in telecommunications networks.
• Computer networks security.
• Basic research methods: calculations, experiment, computer simulations
• Computational methods, interpolation, extrapolation, numerical methods, linear regression, least-squares method, Monte Carlo methods.
• Optimization methods, function minimization, dynamic and linear programming.
• The life cycle of the IT system. Models for the production of information systems: cascade, incremental, spiral, light methodologies.
• Databases and their types. Relational model of databases. Modern approaches to creating databases.
• Architecture of computers, CPU, GPU, SIMD, MIMD, supercomputers.
• Distributed systems: types, methods of construction, most popular technologies.
• Current IT challenges: Internet of Things, big data, quantum computing, large scale systems and calculations.

Economics

• Elasticity of demand and supply; technical and economic optimum; utility function; profit maximization and the firm's supply curve in a perfectly competitive market in the short and long run.
• Price regulation policy; the impact of taxation on the market situation; public goods and private goods.
• Market imperfections; information asymmetry - consequences and methods of reduction.
• Forms of market competition - perfect competition and monopolistic competition, features of the oligopolistic market.
• Determinants and consequences of income inequality, Lorenz curve and Gini coefficient.
• Definition and methods of measuring GDP; GDP vs. GNP; limitations of GDP as a measure of well-being; inflation - measurement and causes of occurrence; inflation and GDP deflator; determinants of economic growth in the long term; convergence; economic growth models.
• Unemployment - definition, types; concept, types and functions of money; money creation mechanism.
• International flows of goods and capital and their determinants; advantages and disadvantages of the theory of purchasing power parity and interest rate parity; foreign trade balance; the multiplier effect and the crowding out effect in the Keynesian model of the economy; global value chains.
• Causes, course and effects of economic crises; the aggregate demand curve and the long- and short-term aggregate supply curve; short-term and long-term Phillips curve; forms of stabilization policy of the state.
• Input-output models; IO multipliers; global IO models - method of construction, advantages, limitations, applications.

Finance

• Developments in global finance and asset pricing in light of risk and uncertainty; general equilibrium model (Arrow (1951), Debreu (1951), Arrow, Debreu (1954)).
• Markowitz's model (1952) as basics of the CAPM (1960-1962) and ICAPM Merton (1973) - criticism, and conditions of the CAPM and ICAPM pricing consistency.
• ICAPM in light of the APT - difference and similarity; alternative pricing models.
• Estimation of investment risk in securities listed on the stock market.
• Investment funds – risk of investing in selected type of funds.
• Possibilities to secure the company's operations in the conditions of changing future states of the economy.
• Evaluation of the results of financial reports of public companies in the light of a stock market investor.
• Capital pricing of real estate, enterprises - methods and conditions of discretization.
• The market value of bonds, the rates of return on investment in bonds depending on changes in market interest rates.
• Bond portfolio value hedging – bond duration, holding period risk, reinvestment risk.