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+): Student has made sufficient progress in the study of this module to achieve the lowest level of pass allowing for progression onto an undergraduate degree.

Satisfactory (50 – 59% / C- to C+): Student demonstrates reasonably comprehensive coverage of learning outcomes, indicating generally accurate understanding, based on lecture material and some core readings. Some gaps in knowledge and/or understanding evident.

Good (60-69% / B- to B+): Student has displayed a sound basic knowledge and understanding of much of the material studied in this module and achieved a high enough grade to indicate a clear ability to cope with the demands of an undergraduate level degree.

Excellent (70% + / A- to A*): Student has engaged consistently well with all aspects of the module and strong achievement in assessments indicates the ability to perform effectively at undergraduate degree level.

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.