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Real Analysis

Key information

  • Module code:

    5CCM221A

  • Level:

    5

  • Semester:

      Autumn

  • Credit value:

    15

Module description

Syllabus:

Rigorous treatment of continuity, differentiation and Riemann integral for functions of one variable.

Prerequisites: 

4CCM115a Sequences and Series (or equivalent background).

Assessment details

Written examination or alternative assessment. Details to be confirmed.

Educational aims & objectives

The aim of the module is to provide rigorous theoretical foundation for key concepts appearing in Analysis: open sets, closed sets, continuous maps, continuity, differentiability, Riemann integral. This is done in the context of sets on the real line and of functions of one variable.

Learning outcomes

Be able to perform simple theoretical analysis involving functions of one real variable (continuity, differentiation, integration). 

Teaching pattern

Three hours of lectures and one hour of tutorial per week throughout the term

Suggested reading list

Suggested reading/resources (link to My Reading Lists)

Module description disclaimer

King’s College London reviews the modules offered on a regular basis to provide up-to-date, innovative and relevant programmes of study. Therefore, modules offered may change. We suggest you keep an eye on the course finder on our website for updates.

Please note that modules with a practical component will be capped due to educational requirements, which may mean that we cannot guarantee a place to all students who elect to study this module.

Please note that the module descriptions above are related to the current academic year and are subject to change.