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MT4004 Real and Abstract Analysis

SCOTCAT credits:15
Academic year(s):2017/8
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.

Place in programme(s) and relationship to other modules

Undergraduate

Compulsory for M.Math. Pure Mathematics. At least two from MT4003, MT4004, MT4509, MT4510 and MT4606 compulsory for M.Math. Mathematics.

Optional for all other programmes in the School.

UG Pre-requisite(s):MT3502
UG Modules required for:MT4526, MT5825, MT5830

Learning and teaching methods and delivery

Weekly contact:2.5 lectures (weeks 1 - 10), 1 tutorial (weeks 2 - 11).
Total module hours:
  • Scheduled learning: 35
  • Guided independent study: 115

Assessment pattern

UG As defined by QAA:
  • Written examinations: 100%
  • Practical examinations: 0%
  • Coursework: 0%
UG As used by St Andrews:2-hour Written Examination = 100%
UG Re-assessment:2-hour Written Examination = 100%

Personnel

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