Introduction to computational mathematics

What it covers

When mathematics is used in real-world applications, it almost always involves the use of computers. This unit provides an introduction to numerical methods for solving maths-related problems on computers. Topics covered include error analysis; methods for finding roots of nonlinear equations; polynomial interpolation; numerical differentiation and integration; numerical methods for ordinary differential equations; and methods for solving linear systems. You will receive a solid introduction to the theory of the numerical methods (with derivations of the methods, error estimates and convergence proofs), and will learn to implement the computational methods in Python. The methods and techniques learned have broad applicability in areas that include the natural sciences, engineering, the biomedical sciences, finance, business, machine learning, and data science.

Assessment

When and where