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.

Outline Syllabus

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