Overview

This module provides the appropriate foundation in mathematical skills to enable students to be successful in their planned undergraduate studies in the fields of science, engineering and computer science. Many students will come from educational systems where there has been a strong emphasis placed on mathematics but it cannot be assumed that this will apply more generally. It is important therefore that the module ensures the strong level of mathematics required to cope with level 4 and beyond in their science, engineering or computer science first degree programme.

The main topics covered are: a) Algebra: Review of basic work. Identities. Equations and inequality. Quadratic equations, quadratic functions. Polynomials, Binomial theorem for positive integers. Simultaneous equations (at least one linear). Curve sketching. Indices and logarithms.

b) Differential Calculus: Functions and limits. Differentiation of algebraic functions, chain rule. Logarithmic and exponential functions. Tangents, normal. Turning points. Integration as the inverse of differentiation; representation as an area.

Assessment Strategy

Threshold (40-49% / D- to D+) Has shown knowledge of key areas and principles but there is a weakness in understanding the subject area. Can formulate some appropriate solutions to solve tasks and questions.

Satisfactory (50 – 59% / C- to C+) Has shown knowledge of the key areas and principles and the main elements of the subject area are understood. Can formulate an appropriate solution to solve tasks and questions.

Good (60-69% / B- to B+) Has shown a strong knowledge and understands most of the subject area. Can formulate appropriate solutions to accurately solve tasks and questions. Solutions demonstrate a good understanding of underlying principles.

Excellent (70% + / A- to A*) Has shown a comprehensive knowledge and detailed understanding of the subject area. Can formulate appropriate solutions to accurately solve tasks and questions. Solutions demonstrate a good understanding of underlying principles.

Learning Outcomes

• Demonstrate an understanding of mathematical terminology, notation, conventions and units.

• Use basic algebra to manipulate and solve mathematical expressions.

• Use differentiation to analyse graphs and their equations.

• Use integration as the reverse of differentiation and to find unknown areas.