Module Provider: |
Mathematics |
Number of credits: |
20 [10 ECTS credits] |
Level: |
C (Certificate) |
Terms in which taught: |
Autumn, Spring and Summer |
Module Convenor: |
Dr
TW
Hilberdink |
Pre-requisites: |
A-Level Mathematics |
Co-requisites: |
MA11B and MA11C
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Modules excluded: |
|
Current from: |
2005/6 |
Aims:
To motivate students' appreciation of the need for proof and their ability to construct for themselves formal proofs.
To develop the manipulative skills and mathematical intuition necessary for analysis.
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Assessable learning outcomes:
By the end of the module students are expected to be able to:
use skill in logical reasoning and problem-solving;
construct simple mathematical proofs;
manipulate simple inequalities;
use the idea of limit of a sequence and sum of an infinite series;
use the idea of continuity. |
Additional outcomes:
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Outline content:
Analysis could be summarised as dealing with the idea of the limit. In order to do this we need some preliminaries and this course accordingly falls into two parts. The first half deals with the nature of the number system, the ideas and techniques of proof and a section developing the skills of dealing with series, decimals and inequalities. The second half considers the structure and defining properties of the real number system and of sets of real numbers, and applies these ideas to the concept of the limit of an infinite sequence. |
Brief description of teaching
and learning methods:
Lectures supported by practical classes |
Contact hours:
| |
Autumn |
Spring |
Summer |
| Lectures |
20 |
20 |
4 |
| Tutorials/seminars |
|
|
|
| Practicals |
8 |
8 |
|
| Other contact (eg study visits) |
|
|
4 |
| |
|
|
|
| Total hours |
28 |
28 |
8 |
| |
|
|
|
| Number of essays or assignments |
8 |
9 |
1 |
| Other (eg major seminar paper) |
|
|
|
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Assessment:
Coursework:
One piece of assessed work in each of the Christmas and Easter vacations each contributing 10% Relative percentage of coursework :20%
Examinations
A three hour exam requiring the answers to four questions from six. This contributes 80% of the overall assessment.
Requirements for a pass
A mark of 40% overall.
Reassessment arrangements
Re-examination in September only. |
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