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MT4004   Real and Abstract Analysis

Academic year(s): 2017-2018

Key information

SCOTCAT credits : 15

ECTS credits : 7

Level : SCQF Level 10

Semester: 2

Planned timetable: 11.00 am Mon (even weeks), Tue and Thu

This module continues the development of real analysis that was begun in MT2502 and continued through MT3502. Topics covered will include limits and continuity in metric spaces, differentiation in higher dimensions and the theoretical underpinning of Fourier series. This module will present some of the highlights of the study of analysis, such as Baire's Category Theorem, the Contraction Mapping Theorem, the Weierstrass Approximation Theorem, and the Inverse Function Theorem.

Relationship to other modules

Pre-requisite(s): Before taking this module you must pass MT3502

Learning and teaching methods and delivery

Weekly contact: 2.5 lectures (weeks 1 - 10), 1 tutorial (weeks 2 - 11).

Scheduled learning hours: 35

Guided independent study hours: 115

Assessment pattern

As used by St Andrews: 2-hour Written Examination = 100%

As defined by QAA
Written examinations : 100%
Practical examinations : 0%
Coursework: 0%

Re-assessment: 2-hour Written Examination = 100%

Personnel

Module coordinator: Prof L O R Olsen
Module teaching staff: Prof L Olsen