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Vectors: analysis - calculations – Matrices analysis – Probability theory.
Compose invariant functions – Fourier integration – Partial differential equations.
Power - Reactive Power in single phase circuits - Three-Phase Circuits – Magnetic coupled circuits – The Fourier Series and its application in Circuit Analysis - The Laplace Transform in Circuit Analysis – two port circuits – Applications.
Introduction – Frame of electric grid – Loads: types, load curves, load coefficients- power plants economics – Power plants types: thermal, hydraulic and nuclear - Economic operation of power plants – General electric component of electric power plants – Appendixes.
Error Analysis – direct current measurement instruments – Analog voltmeter circuits – alternative current analog measurement instruments .
measurement transformers – measurements of power, energy, power factor, and frequency- synchronization measurement instrument – Oscilloscopes - waves analyzer. Testing: measurement instrument – electrical circuits – electrical machines – energy conversion – AC and DC bridges.
Single phase transformers- Three-phase transformers – autotransformer – DC machines( different types, structure and performance)– starting and speed control of machines- DC generators- DC motors.
Fluid Mechanics: Theory of Fluid Mechanics and Basic Concepts
- Hydrostatics - Fluid dynamics - Conservation equations of matter, Quantity of movement and energy -Applications (pumps - compressors - fans - turbines - hydraulic power plants) the basics control systems of hydraulic and air. Heat Transfer: Heat Transfer Theory (Connectivity - load - radiation) Applications (thermal insulators - cooling equipment and cables - evaporation and condensation.
Numerical analysis - Configuration and programming problem in electrical engineering – applications.

Presenting and classifying statistical data - Measures of Central tendency, Dispersion, Skewness and Kurtosis- Principles of probabilities - Major probability distributions and their applications - Methods of sampling - The relationship between the sample and populations- tests hypothesis, confidence interval, and operating characteristics curves - correlation and regression.
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