**Course co-ordinator(s):** Dr Martin Youngson (Edinburgh).

**Aims:**

This course aims to provide an understanding of the basic facts of complex analysis, in particular the nice properties enjoyed by the derivatives and integrals of functions of a complex variable, and to show how complex analysis can be used to evaluate real integrals. The course also aims to provide an understanding of the basic concepts in analysis in the context of metric spaces showing how these ideas are generalisations of the ideas used in Real Analysis and to improve the students abilities in mathematical reasoning and in expressing themselves accurately in writing by producing correct mathematical proofs.

## Detailed Information

**Pre-requisite course(s):** F18CD Multivariable Calculus and Real Analysis A & F18CE Multivariable Calculus and Real Analysis B .

**Location: **Edinburgh.

**Semester: **2.

**Further information:** Syllabus, Number of lectures, Assessment, Learning Outcomes.

**SCQF Level: **9.

**Credits:** 15.