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+) 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% -100% / 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

• 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