MAT-20029 - Analysis II
Coordinator: Peter Fletcher Room: MAC2.36 Tel: +44 1782 7 33260
Lecture Time: See Timetable...
Level: Level 5
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2019/20

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None

Description for 2019/20

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: 2
prove and apply the key theorems of real analysis related to infinite series, limits of functions, continuity and differentiation: 2
use the concepts and theory covered in the module to develop mathematical and logical arguments: 1,2
use the concepts and theory covered in the module to make judgements and to evaluate different approaches to solving problems: 1,2

Study hours

48 hours of scheduled classes, including lectures and tutorials
30 hours portfolio preparation
70 hours independent study
2 hours unseen examination

School Rules

None

Description of Module Assessment

1: Portfolio weighted 30%
Portfolio of work created over the semester
A portfolio of work created over the semester through 10 short exercises (equally weighted). The exercises, ¿when combined, form a portfolio of work that develops students' ability to use module concepts, theory and solve mathematical problems. Over the semester, students can expect to spend a total of 30 hours creating their portfolio.

2: Unseen Exam weighted 70%
2-hour unseen examination
The examination paper will consist of no less than five and not more than eight questions, all of which are compulsory.