MA0MANU-Mathematical Analysis

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:F
Terms in which taught: Autumn term module
Pre-requisites:
Non-modular pre-requisites: High School Mathematics
Co-requisites: MA0FMNU Foundations of Mathematics
Modules excluded:
Current from: 2021/2

Module Convenor: Prof Michael Levitin
Email: m.levitin@reading.ac.uk

Type of module:

Summary module description:

This module provides an introduction to mathematical analysis. We cover contents such as the Real number system, functions, sequence limits and function limits as well as continuity.

The Module lead at NUIST is Dr Chao Wang.

Aims:

To provide a formal introduction to mathematical analysis by rigorously approaching concepts crucial in subsequent analytical topics.

Assessable learning outcomes:

By the end of the module students are expected to be able to:

• Understand the Real number system;


• Manipulate simple inequalities;


• Define convergence of sequences and functions;


• Understand concepts of convergence for sequences and functions;


• Introduce continuity and prove some fundamental properties of continuous functions;


• Apply definitio ns & theorems presented throughout the course to solve unseen problems;


• State and prove some fundamental theorems;


• Understand definitions of boundedness, continuity and determine by proof whether certain functions possess said properties;


• Communicate mathematical arguments.

Additional outcomes:

Outline content:

The module develops alongside the content of MA0FANU, beginning with Real numbers and functions, sequence limits, function limits and continuity.

Brief description of teaching and learning methods:

Lectures supported by problem sheets and tutorials.

Contact hours:

	Autumn	Spring	Summer
Lectures	32
Guided independent study:
Wider reading (independent)	46
Wider reading (directed)	10
Exam revision/preparation	12
Total hours by term	100	0	0
Total hours for module	100

Summative Assessment Methods:

Method	Percentage
Written exam	70
Class test administered by School	30

Summative assessment- Examinations:

2 Hours

Summative assessment- Coursework and in-class tests:

One examination and a number of class tests.

Formative assessment methods:

Problem sheets.

Penalties for late submission:

The Support Centres will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Assessment requirements for a pass:

A mark of 40% overall.

Reassessment arrangements:

One re-examination paper of 2 hours duration in January- the resit module mark will be the higher of the exam mark (100% exam) and the exam mark plus coursework marks (70% exam, 30% coursework).

Additional Costs (specified where applicable):

Last updated: 2 November 2021