Topics: Electrical Engineering, Electrostatics, DC circuits, Ohm's law, mesh analysis, nodal analysis, superposition theorem, Thevenin's theorem, Norton's theorem, AC Circuit analysis, transformers, transistors, diodes, rectifier, electrical machines, polyphase systems, inductors

Topics: Frequency space, Complex numbers, Euler's formula, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, Fourier Descriptor, Fourier Descriptor

Topics: engineering functions, trigonometric functions, coordinate systems, discrete mathematics, sequences, series, vectors, matrix algebra, complex numbers, differentiation, integration, numerical integration, taylor polynomials, taylor series, maclaurin series, Laplace transform, z transform, Fourier series, Fourier transform, vector calculus, line integrals, multiple integrals, probability, statistics

Topics: Algebra, partial fraction, logarithm, exponential function, inequality, arithmetic progression, geometric progression, binomial series, Maclaurin's series, iterative method, binary, octal, hexadecimal, boolean algebra, logic circuits, trigonometry, circle, Trigonometric waveforms, hyperbolic functions, Trigonometric identities, Trigonometric equation, compound angles, irregular area, irregular volume, graph, complex numbers, De Moivre’s theorem, matrix, determinant, vector geometry, vector, scalar product, vector product, differentiation, calculus, integration, differential equation, parametric equations, implicit functions, Logarithmic differentiation, hyperbolic functions, Partial differentiation, Total differential, rate of change, Maxima, minima, saddle point, integral calculus, hyperbolic substitution, trignometric substitution, Integration by parts, Reduction formulae, double integrals, triple integrals, Numerical integration, Homogeneous first-order differential equation, first-order differential equation, differential calculus, Linear first-order differential equation, Numerical methods, power series, Statistics, probability, Mean, median, mode, standard deviation, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Significance testing, Chi-square test, distribution-free test, Laplace transform, Inverse Laplace transform, Heaviside function, Fourier series, periodic functions, non-periodic function, even function, odd function, half-range fourier series, harmonic analysis, Z-Transform

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Topics: Galilean Transformation, Einstein's Postulates, Lorentz Transformation, Invariance of Physical Equations, Ether, Michelson-Morley Experiment, Relativistic Work and Energy, Mass-Energy Equivalence, Transformation of Momentum and Energy, Time Dilation, Twin Paradox

Topics: Vector Quantization, Signal Compression, random proocesses, linear systems, probability, sampling, periodic sampling, linear prediction, Elementary Estimation Theory, Finite-Memory Linear Prediction, Levinson-Durbin Algorithm, Minimum Delay Property, scalar coding, Scalar Quantization, Predictive Quantization, Delta Modulation, Difference Quantization, Bit Allocation, Transform Coding, Karhunen-Loeve Transform, Performance Gain of Transform Coding, entropy coding, Variable-Length Scalar Noiseless Coding, huffman coding, Vector Entropy Coding, Ziv-Lempel Coding, Constrained Vector Quantization, Predictive Vector Quantization, Finite-State Vector Quantization, Tree and Trellis Encoding, Adaptive Vector Quantization, Variable Rate Vector Quantization

Topics: Communication Systems Engineering, Electrical Communication System, Communication Channel, frequency domain analysis, Fourier series, Fourier transforms, Bandlimited Signals sampling, bandpass signals, analog signal transmission, modulation, amplitude modulation, Conventional Amplitude Modulation, angle modulation, radio broadcasting, television broadcasting, mobile radio systems, random processes, Gaussian Processes, White Processes, Bandlimited Processes, Bandpass Processes, Linear-Modulation Systems, information sources, source coding, source-coding theorem, Source-Coding Algorithms, Rate-Distortion Theory, quantization, Analysis-Synthesis Techniques, waveform coding, Digital Audio Transmission, Digital Audio Recording, Pulse Amplitude Modulation, Two-dimensional Signal Waveforms, Multidimensional Signal Waveforms, White Gaussian Noise, Symbol Synchronization, Bandlimited Channels, Digitally Modulated Signals, channel; capacity, channel coding, linear block code, cyclic codes, Convolutional Codes, wireless communications, Continuous Carrier-Phase Modulation, Spread-Spectrum Communication Systems, Digital Cellular Communication Systems

Topics: circuit analysis, voltage laws, current laws, nodal analysis, mesh analysis, Handy Circuit Analysis Techniques, operational amplifier, capacitor, inductor, RL circuits, RC Circuits, RLC CIrcuit, Sinusoidal Steady-State Analysis, AC Circuit Power Analysis, Polyphase Circuits, Magnetically Coupled Circuits, Complex Frequency, Laplace Transform, Circuit Analysis in the s-Domain, Frequency Response, Two-Port Networks, Fourier Circuit Analysis

Topics: Power Systems Analysis, power system, electric power generation, fossil power plants, hydroelectric power plants, solar power, wind power plants, geothermal power, biomass power plants, fuel cell, modern power system, smart grid, energy control center, complex power, complex power balance, power factor corrrection, per phase analysis, balanced three-phase power, generator models, transformer models, per unit system, transformer performance, autotransformers, three-winding transformers, transmission line parameters, line model, line compensation, power flow analysis, bus admittance matric, Gauss-Seidel power flow solution, Newton-Raphson method, power flow programs, synchronous machine, transient analysis, unbalanced fault, stability, swing equation, transoent stability, steady-state stability, power system control, automatic generation control, load frequency control, MATLAB, frequency response, reactive power, voltage control, excitation system