Introduction to the differential and integral calculus of functions of a complete variable. Laplace and z-transform, discrete-time systems and difference equations. Transfer functions in s & z domains. Fourier transform, discrete Fourier transform. Continuous and discrete time convolution. Gamma and Bessel functions. Probability and random variables, including Poisson, normal and Gamma distributions, expected values and moments. Combinations of random variables. Random signals and the Blackman-Tukey procedure. Discrete time Markov chains and queuing systems.
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