Overview

This module provides the appropriate foundation in mathematical skills to enable you to be successful when you progress to your undergraduate studies in engineering and computer science.

The main topics covered are: Algebra: Binomial expansion of (1+x)n where n is rational; Partial fractions; The modulus function.

Co-ordinate Geometry: The Circle: Cartesian and parametric equations and conversion between the two forms, Radian measure, arc length and area.

Integration: Integration by substitution, partial fractions, and by parts, exponential and logarithmic functions.

Vectors and Vector Methods: In 2 and 3 dimensions; magnitude of a vector; vector addition and multiplication by a scalar; Geometrical interpretation; Position vectors; Vector equations of lines; Scalar Product; its use to find angle between 2 lines.

Sequences: General sequences rules and applying the concepts of arithmetic and geometric series.

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

• Apply advanced algebra skills to solve sequences & series

• Apply circle theorems and solve using appropriate units.

• Use further intergration methods to solve more complicated equations

• Use vector methods in simple applications