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Course Outline
Mathematics I
1st Semester

 

Variable Calculus:

Functions: definition of domain, domain range, and fully redundant connection, composite and inverse function, types of functions - polynomial, exponential, logarithmic, trigonometric, hyperbolic and reverse them. Limits. Derivatives: Derivatives of basic functions, differentiation complex, interlaced and inverse function, logarithmic differentiation. Applications of derivatives: Rolle's theorem and mean value, function study - extreme values, monotonicity intervals, bends, spaces of curvature. Limit resolution by the rule of de l 'Hospital. Taylor and Mc Laurin expansions. Indefinite integrals: Methods of integration - integration by substitution, integration by parts. Defined integrals, fundamental theorem of integral calculus. Applications of definite integrals: Area of plane quotatoion, work force, work with reversible change.
 
 
Algebra:
 
Polynomials: Basic concepts, division of polynomials, finding roots - real and complex roots. Vectors: Basic concepts and rules for handling vector operations between vectors, the inner product of vectors, the outer product of vectors and applications. Tables: Basic definitions, types of tables and applications, transactions between tables, table multiplication, identitarian table, inverse table, similar tables. Determinants: basic properties, calculation of reversible determinant of reversable table. Linear Systems: Solving linear systems 3x3 and 4x4 - the method of Kramer, the method of the inverse table.
 
Physics I
1st Semester

 

Theoretical part:

Introduction: rules for controlling vectors, derivatives and integrals. Kinematics and Dynamics of material point: Newton's Laws, simple movements, work, energy, power, momentum, conservation principles of maintaining energy - momentum. Rigid Body Dynamics: transport and rotational motion, angular momentum, conservation principles. Mechanical Properties of Fluids: pressure - hydrostatic pressure, air, internal friction, flow of ideal fluids. Vibrations - Waves: free and forced oscillation, vibration composition, unabated downward oscillation.

 

Laboratory part:

Introduction - training in the theory of faults. Experimental investigation of various physical phenomena from the field of Engineering and Heating from two groups of students, graphical and / or analytical processing of measurements - draw general conclusions, estimation of the quantitative accuracy of the final results using the theory of faults. Deliver comprehensive work written by each student individually (theoretical background, experimental procedures, measurement protocols, graphs, evaluation measurements, comments - observations).

 
Introduction to Materials Science
1st Semester
- Nature of Materials. (structure of matter, chemical compounds, chemical bonds).
- Structure of solids. (crystalline solids, crystal systems, levels, lines, signs and addresses).
- Metals. (crystalline structure, crystallization of metals, defects).
- Mechanical properties of materials. (deformation, strength, creep, fracture toughness, wear and hardness of materials).
- Mechanical behavior of metals. (voltage and deformation, tensile test, endotrachynsi, recrystallization, fatigue).
- Electrical properties of metals.
- Thermal properties of metals.
- Alloys
- Equilibrium phase diagrams.
- Ceramics.
- Composite materials.
- Polymers.
 
Introduction to Computers and Programming
1st Semester

 

Theoretical part:

Historical development. The generations of computers. Introduction to key parts of the processor, memory analysis of ROM and RAM. Basic concepts of Windows. Data and Information. Representation of data, computer source codes, Structure and function of PC. Motherboards and expansion cards, cables and wiring, cable types, communication systems, central memory. Computer architecture. Key features of the processor. Peripherals. Compression-decompression of files. Protection from viruses. Work Environment Safety and Health. Copyright information and privacy.

 

Laboratory part:

Managing files and folders, copying files, file-objects. Introduction to Microsoft Word, formatting using word, print and print preview, tables and outlines, graphics in word, paging techniques. Introduction to excel. Books and sheets, sheet structure, data sheets, formulations. Type in excel.Mathimatikoi operators. Excel functions. Graphs and applications using excel. Introduction to PowerPoint. Create presentation. Formats in PowerPoint. Applications using PowerPoint.

 
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