Laplace and z-Transforms

Preface.
1. The Laplace transform.
1.1 The Laplace transform.
1.2 The Laplace transform from first principles.
1.3 The unit step function.
1.4 Impulse function.
1.5 Standard Laplace transforms.
1.6 Properties of Laplace transforms.
Further problems.
2. Inverse Laplace transform.
2.1 The inverse transformation.
2.2 Partial fractions.
2.3 Using Laplace transform properties.
2.4 Convolution theorum.
Further problems.
3. Transform of derivatives and integrals.
3.1 The transform of derivatives.
3.2 The transform of integrals.
3.3 Solving differential equations.
3.4 Simultaneous differential equations.
3.5 Initial and final value theorems.
Further problems.
4. Electrical circuits in the s-domain.
4.1 Circuit elements in the s-domain.
4.2 Circuits in the s-domain.
Further problems.
5. System transfer functions.
5.1 The transfer function.
5.2 Systems in series.
5.3 Systems with feedback loops.
5.4 Poles and zeros.
Further problems.
6. Sampled data systems and z-transforms.
6.1 Sampled data systems.
6.2 The z-transform.
6.3 Standard z-transform.
6.4 The inverse z-transform.
Further problems.
7. The z-transfer function.
7.1 Discrete transfer function.
7.2 Zero-order hold.
Further problems.
Answers to problems.
Index.