? Credit Points : 20  ? SCQF Level : 11  ? Acronym : MAT-4-FCA

1. Entire functions: Weierstrass and Hadamard factorizations; theorems of Picard, Borel and Hadamard. 2. Meromorphic functions: Mittag-Leffler expansion; exceptional values. 3. Conformal mapping: Normal families; Riemann's mapping theorem; behaviour of conformal maps at the boundary. 4. Analytic continuation: Monodromy theorem; Schwarz reflection; the modular function and Picard's original proof of his theorem.

? Pre-requisites : MAT-3-CVD

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

? Normal year taken : 4th year

? Delivery Period : Full Year (Blocks 1-4)

? Contact Teaching Time : 2 hour(s) per week for 22 weeks

All of the following classes

Type Day Start End Area Lecture Monday 09:00 10:50 KB Lecture Thursday 09:00 09:50 KB

Understanding of key aspects of:
1. Entire functions
2. Meromorphic functions
3. Conformal mappings
4. Analytic continuation

Examination only.

Exam times

Diet Diet Month Paper Code Paper Name Length 1ST May 1 - 3 hour(s)

The Course Secretary should be the first point of contact for all enquiries.

Course Secretary

Ms Jennifer Marshall
Tel : (0131 6)50 5048
Email : Jennifer.Marshall@ed.ac.uk

Course Organiser

Dr Liam O'Carroll
Tel : (0131 6)50 5070
Email : L.O'Carroll@ed.ac.uk

Course Website : http://student.maths.ed.ac.uk

School Website : http://www.maths.ed.ac.uk/

College Website : http://www.scieng.ed.ac.uk/