OverviewThis module introduces fundamental methods needed for the study of mathematical subjects at degree level.
a) Functions and graphs: plotting, roots, intercepts, turning points, area (graphical methods), co-ordinate geometry of straight lines, parallel and perpendicular lines, applications to plots of experimental data, quadratics, introduction to the trigonometric functions
b) Trigonometry: radians, properties of sine and cosine functions, other trigonometric functions, compound angle formulae and subsequent results, solving trigonometric equations
c) Geometry: circles and ellipses, right-angled triangles, SOHCAHTOA, trigonometric functions, inverse trigonometric functions, sine and cosine rule, opposite and alternate angle theorems, applications to geometry problems
d) Vectors: notion of a vector, representation of vectors, addition, subtraction and scaling, magnitude, scalar product, basis vectors in 2 and 3 dimensions
This module appears in:
- Forensic Science Foundation Year
- Maths Foundation
- Physics Foundation Year
- Physical Sciences Foundation & Stage 1
- STMS Undergraduate Stage 1
Method of assessment
80% Examination, 20% Coursework
Core Maths for Advanced Level, L Bostock and S Chandler, Nelson Thornes Ltd, 2013.
The intended subject specific learning outcomes. On successfully completing the module students will be able to:
1 demonstrate understanding of the basic body of knowledge associated with standard functions and their graphical interpretation, geometry, trigonometry and vectors;
2 demonstrate the capability to solve problems in accordance with the basic theories and concepts of functions, trigonometry and geometry, whilst demonstrating a reasonable level of skill in calculation and manipulation of the material;
3 apply the basic techniques associated with functions, trigonometry and geometry in several well-defined contexts;
4 demonstrate mathematical proficiency suitable for Stage 1 entry.
The intended generic learning outcomes. On successfully completing the module students will be able to:
Demonstrate an increased ability to:
1 manage their own learning and make use of appropriate resources;
2 understand logical arguments, identifying the assumptions made and the conclusions drawn;
3 communicate straightforward arguments and conclusions reasonably accurately and clearly;
4 manage their time and use their organisational skills to plan and implement efficient and effective modes of working;
5 solve problems relating to qualitative and quantitative information.
6 demonstrate an increased level of skill in numeracy and computation.