14-8 Definition of the Fourier transform The exponential form of the Fourier series

The two-sided or bilateral Laplace transform The one-sided Laplace transform or direct Laplace transform

15-4 Laplace transform of some simple time function 1. The unit step function

15-6 The partial-fraction-expansion method

We define transfer function H(s) as a ratio of the Laplace transform of system output (or response)(s) to the Laplace transform of the input(or forcing function)v(s) when all initial conditions are zero, then

1. Augmented( incidence matrix of a directed graph nodes(N+1), branches(B)

Relationship between branch and loop currents

Let the initial voltages on the capacitors be represented as voltage sources in series with the capacitors and the initial currents through the inductors be represented as current sources in parallel with the inductors

17-3 Loop analysis 17-4 Analysis of networks containing dependent sources

The node-to-datum voltage vector: