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MAT-20029 - Module Specification
School of Computing and Mathematics
Faculty of Natural Sciences

For academic year: 2022/23 Last Updated: 19 January 2023

MAT-20029 - Analysis II
Coordinator: Peter Fletcher Room: MAC2.36 Tel: +44 1782 7 33260
Lecture Time: See Timetable...
Level: Level 5
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2022/23

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None

Description for 2022/23

This module builds upon the material on real analysis covered in Exploring Algebra and Analysis. The module will study infinite series, limits of functions, continuity and differentiation from a rigorous point of view. The results covered enable calculus to be placed on a secure theoretical footing. An understanding of the core techniques in analysis is advantageous when studying certain level 6 modules.

Aims
The aim of this module is to provide students with further core knowledge of real analysis, which builds upon the material covered in Exploring Algebra and Analysis. In particular, the module is concerned with infinite series, limits of functions, continuity and differentiation.

Intended Learning Outcomes

state clearly the key definitions and theorems of real analysis related to infinite series, limits of functions, continuity and differentiation: 1,2,3
prove and apply the key theorems of real analysis related to infinite series, limits of functions, continuity and differentiation: 1,2,3
use the concepts and theory covered in the module to develop mathematical and logical arguments: 1,2,3
use the concepts and theory covered in the module to make judgements and to evaluate different approaches to solving problems: 1,2,3

Study hours

48 hours of scheduled classes, including lectures and tutorials
30 hours preparation of coursework
70 hours independent study
2 hours unseen examination

School Rules

None

Description of Module Assessment

1: Unseen Exam weighted 70%
Examination
2-hour closed-book end of module examination

2: Coursework weighted 15%
First Coursework
Take-home assignment during module.

3: Coursework weighted 15%
Second Coursework
Take-home assignment during module.

Please note that for the 2022/23 Academic Year programmes may be adapted to operate in accordance with a flexible, digital approach. This means that there may be some changes made to how modules are delivered and assessed. The latest information will be provided to you by your School in module handbooks. We endeavour to give you as much notice as possible of any changes and details about the circumstance in which changes are made to programmes can be found in the Student Agreement, available at: https://www.keele.ac.uk/student-terms-and-conditions/

Last Updated: 19 January 2023