MT4004
Real and Abstract Analysis
2019-2020
15
7
SCQF level 10
2
Academic year(s): 2019-2020
SCOTCAT credits : 15
ECTS credits : 7
Level : SCQF level 10
Semester: 2
Availability restrictions: Not automatically available to General Degree students
Planned timetable:
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.
Pre-requisite(s): Before taking this module you must pass MT3502
Weekly contact: 2.5 lectures (weeks 1 - 10), 1 tutorial (weeks 2 - 11).
Scheduled learning hours: 35
Guided independent study hours: 115
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%
Module coordinator: Professor L O R Olsen
Module teaching staff: Prof Lars Olsen
Module coordinator email lo@st-andrews.ac.uk