This module will introduce mathematical and numerical methods that form the foundations to many fields in modern day scientific computing, covering mathematical modelling and simulation, big data science and artificial intelligence. It will cover the more involved concepts of differentiation and integration, extending to scalar and vector fields in multi-dimensional settings, together with some fundamentally important theorems. You will be introduced to the mainstream numerical approximations for integration and differentiation used in forming solutions to ordinary differential equations, optimisation, and root finding problems, and their implementation in python. The module will also include the fundamental concepts of big data processing and AI and will introduce and train the students in using current AI Python tools.

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