Content | Series:
Geometric series, series convergence, convergence tests, Taylor series, linearization.
Fourier series:
Periodic functions with an arbitrary period, odd and even functions, Fourier series, half-range periodic extension, frequency response.
The Laplace transform:
Definition and properties of the Laplace transform, inverse Laplace transforms, solving linear differential equations, transfer functions and block diagrams, dynamic modelling, poles, zeros and the s plane.
Difference equations:
Sequences, definitions, general and numeric solutions, block diagrams.
The z transform:
Definition and properties, sampling, inversion of z transforms, solving difference equations. |