This module is aimed at university students who are keen to improve and strengthen their knowledge of applied mathematics. It provides a comprehensive overview of the important mathematical concepts and methods needed for a university-level study of physical sciences and engineering. The focus will be on applications of these methods to a variety of real-world problems from physics and mechanics; exploring how mathematicians, their tools and ideas have helped to shape the modern world. Students will be exposed to cutting-edge applications of mathematics, including those based on the teachers' research activities in biomedical engineering. Previous mathematical and physics education will be expected.
This module will consist of a minimum of 45 contact hours with teaching taking place between 9 am and 5 pm from Monday to Friday. This is an example timetable so content and timings are subject to change.
Learning outcomes and objectives
By the end of the module, you should have:
- manipulated and performed algebraic computations with complex numbers and solved standard geometric and trigonometric equations.
- manipulated and performed computations with vectors and matrices in two and three dimensions, and a strategy for higher dimensions.
- computed manually derivatives, integrals and related calculus operations (such as Taylor series, special functions) in one, two and three dimensions, and a strategy for higher dimensions.
- solved first and second order ordinary differential equations.
- appreciated how the concepts above apply to a variety of real-world problems from physics and mechanics.
Dr Jordi Alastruey-Arimon
and Dr Martin Bishop
, Department of Biomedical Engineering, King's College London
- Problem solving and practice exercises
- Private study
Module assessment - more information