Rigorous treatment of continuity, differentiation and Riemann integral for functions of one variable.
4CCM115a Sequences and Series (or equivalent background).
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.
Be able to perform simple theoretical analysis involving functions of one real variable (continuity, differentiation, integration).
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)