NMAK17002U Complex Analysis 2
MSc Programme in Mathematics
The course covers
- Holomorphic and harmonic functions and Poisson integrals
- Normal families, conformal mapping and Riemann's mapping theorem
- Infinite products and Weierstrass factorization
- Growth of entire functions
- Picard's theorems
- Eulers Gamma function
and related topics
Knowledge: After completing the course the student is expected to have a thorough knowledge of definitions, theorems and examples related to the topics mentioned in the description of the course content and to have a deeper knowledge of complex analysis, both from an analytic and a geometric/topological point of view.
Skills: At the end of the course the student is expected to have the ability to use the acquired knowledge to follow arguments and proofs of advanced level as well as to solve relevant problems using complex methods.
Competences: At the end of the course the
student is expected to be able to:
1. Reproduce key results presented in the course together with detailed proofs thereof,
2. Construct proofs of results in complex analysis at the level of this course,
3. Use the course content to study relevant examples and to solve concrete problems.
Academic qualifications equivalent to a BSc degree is recommended.
- Exam Preparation
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 minutesThere will be 30 minutes of preparation time before the oral examination.
- Exam registration requirements
To be allowed to take the oral exam the student must have at least 2 out of 3 homework assignments approved.
- Only certain aids allowed
All aids allowed during the preparation time. No aids allowed during the examination.
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners.
Oral examination, 30 minutes with 30 minutes preparation time. All aids allowed during the preparation time. No aids allowed during the exam.
To be allowed to take the re-exam, students who have not already had 2 out of the 3 mandatory assignments approved must (re)submit all 3 assignments no later than four weeks before the beginning of the re-exam week and two of these assignments must be approved no later than three weeks before the beginning of the re-exam week.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.