The aim of this topic is to take data in one domain and transform it to another domain that helps analysis. Data may be taken in time, space and can be structured or unstructured. The unifying idea is that there are certain fundamental principles such as sampling and transforms that apply throughout. There are different mathematical tools that can be used to implement them in different scenarios.

Upon successful completion of this module, you will be able to:
1. Use the techniques of Laplace Transforms to solve ordinary differential equations and apply them in the context of signal processing.
2. Explain and apply convolution for linear time-variant systems using transfer functions for continuous and discrete time systems.
3. Use the sampling theorem with the discrete Fourier Transform and the z-transform.
4. Model a data filtering problem as a transfer function
5. Classify real-world data into different types of signals

Types of data and signals, Types of analysis, Laplace Transforms, transfer functions and frequency response, sampling, further aspects of LTI systems (building on mathematics)