Complex Analysis

Teaching semester

Every second autumn - odd-numbered years

Objectives and Content

The course studies complex integration, conformal maps, harmonic and subharmonic functions, Dirichlets problem, series and product expansions, elliptic functions, and analytical continuation.

Learning Outcomes

After successful completion of the course the student will be able to

• Identify curves and regions in the complex plane defined by simple expressions.
• Describe basic properties of complex integration and having the ability to compute such integrals.
• Decide when and where a given function is analytic and be able to find it series developement.
• Describe conformal mappings between various plane regions.
• Present the central ideas in the solution of Dirichlets problem.
• Give the main ideas in the proof of the Riemann mapping theorem.

Required Previous Knowledge

MAT213

Forms of Assessment

Oral examination

Grading Scale

The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.