To develop mathematical knowledge, understanding and skills in fundamental topics of mathematics so that students can later build on these to describe, model, analyse and evaluate engineering problems using a range of mathematical techniques and appropriate software for calculations.
Algebra: manipulation, linear and quadratic equations; powers and roots; exponential and logarithmic forms
Co-ordinate geometry; graphs in Cartesian and polar co-ordinates
Complex numbers; algebra and properties; polar and exponential forms; applications to the appropriate engineering discipline
Elementary vector algebra; lines and planes
Matrices; definitions, basic algebra, linear systems, applications to the appropriate engineering discipline.
Functions; general concepts, composition, specific functions, trigonometric and hyperbolic functions, inverses and limits
Differentiation; definitions and rules
Integration: definitions, techniques
Applications of differentiation and Integration to the appropriate engineering discipline
Ordinary Differential Equations; first and second order equations, applications to the appropriate engineering discipline
Sequences, series and power series
Numerical methods; errors, solution to equations, numerical integration
Applications and context for the appropriate engineering discipline will be explored at every opportunity