Introduction to computational mathematics

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 solving linear systems, methods for finding roots of nonlinear equations; polynomial interpolation; numerical differentiation and integration; and numerical methods for ordinary differential equations. 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 Matlab. 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.