Course MAT214
Complex Analysis
Course offered :
- Current semester
- Next semester
Current programmes of study
Course offered by
| Number of credits | 10 |
| Course offered (semester) | Every second autumn - odd-numbered years |
| Schedule | Schedule |
| Reading list | Reading list |
Language of Instruction
English
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.
Course offered (semester)
Every second autumn - odd-numbered years
Language of Instruction
English
Aim 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.
Recommended previous knowledge
Assessment methods
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.