Topics: Complex Variable Theory, Complex Inversion Formula, Partial Differential Equations

Topics: Exponential Functions, polynomial functions

Topics: Electrical machines, transformer, Instrument Transformer, voltage transformer, current transformer, Three Phase Transformer Connection, DC motors

Topics: continuous-time signals, representation of signals, continuous-time systems, linearity, causality, stability, Laplace transform, Fourier series, Fourier transform, transfer function, response of systems, MATLAB, Z-transform, Discrete-time Fourier Transform, Discrete Fourier Transform

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

Topics: Electrical Machines, electromagnetism, Faraday's law, Lenz's law, magnetic circuits, magnetomotive force, magnetic field intensity, magnetic flux, single-phase circuits, power triangle, complex power, transformers, transformer oil, Buchholz relay, transformer tank, magnetic leakage, equivalent reactance, sumpner's test, pulse transformer, welding transformer, Three-phase transformers, rotating machines, electromagnetic torque, reluctance torque, DC generators, DC motors, voltage equation, Back EMF, Electric braking, synchronous generators, voltage regulation, Two reaction theory, synchronous motors, polyphase induction motor, single phase motor

Topics: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets

Topics: Hamilton principle, Lagrange equation, Geodesic problem, Dobis-Raymond equation, corner condition, variable end point theorem, variational integral transform, Laplace transform, Fourier Transform, Baned transform, complex variable method, Convolution theorem

Topics: Signals, unit step function, unit ramp function, unit parabolic function, unit impulse function, sinusoidal signal, time shifting, signal analysis, Fourier series, wave symmetry, Fourier spectrum, Gibbs phenomenon, Continuous-time Fourier series, Fourier transform, signal transmission, convolution, time convolution, theorem, signal comparison, energy density spectrum, power density spectrum, density function, sampling, sampling theorem, Anti-Aliasing filter, data reconstruction, Laplace transforms, waveform synthesis, Z-transform, system realization, discrete-time Fourier transform