Programme/Approved Electives for 2023/24
None
Available as a Free Standing Elective
No
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: 1,2,3prove and apply the key theorems of real analysis related to infinite series, limits of functions, continuity and differentiation: 1,2,3use the concepts and theory covered in the module to develop mathematical and logical arguments: 1,2,3use the concepts and theory covered in the module to make judgements and to evaluate different approaches to solving problems: 1,2,3
48 hours of scheduled classes, including lectures and tutorials30 hours preparation of coursework70 hours independent study2 hours unseen examination
Description of Module Assessment
1: Unseen Exam weighted 70%Examination2-hour closed-book end of module examination
2: Coursework weighted 15%First CourseworkTake-home assignment during module.
3: Coursework weighted 15%Second CourseworkTake-home assignment during module.