MAT9310 - Complex analysis
One complex variable: The inhomogeneous Cauchy-Riemann equation and Runge`s theorem. The theorems of Mittag-Leffler and Weierstrass. Riemann`s mapping theorem. Several complex variables: Holomorphic functions and mappings. Zero sets and the Weierstrass preparation theorem. Hartog`s extension, domains of holomorphy, and holomorphic convexity. The d-bar equation with compact support.
Methods of complex function theory.
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
Formal prerequisite knowledge
Recommended previous knowledge
10 credits with MAT365.
10 credits with MAT4310.
*The information about overlaps is not complete. Contact the department for more information if necessary.
4 hours of lectures/exercises per week.
In addition, each phd student is expected to give a one hour oral presentation on a topic of relevance (chosen in cooperation with the lecturer). The presentation has to be approved by the lecturer for the student to be admitted to the final exam.
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grades are awarded on a pass/fail scale. Read more about the grading system.
Explanations and appeals
Resit an examination
This subject offers new examination in the beginning of the subsequent term for candidates who withdraw during an ordinary examination or fail an ordinary examination. Deferred examinations for students who due to illness or other valid reason of absence were unable to sit for their final exams will be arranged at the same time. (These valid reasons has to be documented within given deadlines.)
Withdrawal from an examination
It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.
Special examination arrangements
Application form, deadline and requirements for special examination arrangements.
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.