# Graphs, Geometry and Trigonometry - MAST0022

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## Module delivery information

Location Term Level1 Credits (ECTS)2 Current Convenor3 2022 to 2023
Canterbury
Combined Autumn and Spring Terms 3 15 (7.5) Christopher Woodcock

## Overview

This 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

## Details

### Contact hours

Total contact hours: 44
Private study hours: 106
Total study hours: 150

## Method of assessment

80% Examination, 20% Coursework

Core Maths for Advanced Level, L Bostock and S Chandler, Nelson Thornes Ltd, 2013.
Foundation maths, T Croft, Pearson, 2016.

See the library reading list for this module (Canterbury)

## Learning outcomes

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.

## Notes

1. Credit level 3. Foundation level module taken in preparation for a degree.
2. ECTS credits are recognised throughout the EU and allow you to transfer credit easily from one university to another.
3. The named convenor is the convenor for the current academic session.