Geometry and Trigonometry - MAST0016

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Module delivery information

Location Term Level1 Credits (ECTS)2 Current Convenor3 2022 to 2023
Canterbury
Autumn Term 3 15 (7.5) Tom Bennett checkmark-circle

Overview

This module introduces fundamental methods needed for the study of mathematical subjects at degree level.

Trigonometry: introduction to the trigonometric functions, inverse trigonometric functions, radians, properties of sine and cosine functions, trigonometric identities, solving trigonometric equations

Geometry: circles and ellipses, triangles, SOHCAHTOA, sine and cosine rule, opposite and alternate angle theorems

Hyperbolic functions: introduction to hyperbolic functions and inverse hyperbolic functions including definitions, domains and ranges and graphs.

Complex numbers: introduction to the system of complex numbers and its geometrical interpretation.

Details

Contact hours

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

Method of assessment

80% Examination, 20% Coursework

Indicative reading

Core Maths for Advanced Level, L Bostock and S Chandler, Nelson Thornes Ltd, 2013.

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 and trigonometry;
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.
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