Mathematics 1

Overview

Indices, logarithms. Polynomial equations. Partial fractions. Trigonometry. Complex numbers: Argand diagram, cartesian, polar, exponential form, de Moivre's. Differentiation: rules, parametric & implicit, maxima & minima, Newton-Raphson method. Integration: area under curves, integration by parts, substitution, using partial fractions, centre of mass, moment of inertia, trapezium, Simpson's rule. Matrices, determinants, Cramer’s rule, inverse. Differential Equations: analytical solution of first order, Euler’s method, second order equations. Vectors: products, kinematics. Laplace Transforms, application to differential equations. Statistics: descriptive, measures of centre, spread, skewness.

Learning Objectives

Apply knowledge of mathematics, statistics, natural science and engineering principles to the solution of complex problems. Some of the knowledge will be at the forefront of the particular subject of study

Select and apply appropriate computational and analytical techniques to model complex problems, recognising the limitations of the techniques employed

Plan and record self-learning and development as the foundation for lifelong learning/CPD

Skills

Apply skills in problem solving, communication and working with others

Monitor and adjust a personal programme of work on an on-going basis

Plan and record self-learning and development as the foundation for lifelong learning/CPD

Assessment