MAT2410 – Introduction to Complex Analysis
Schedule, syllabus and examination date
MAT2410 gives an introduction to the theory of functions of one complex variable. Central themes in the course are analytic and harmonic functions and their properties, power series and Laurent series, isolated singularities, Cauchy's integral theorem and residue calculus, the maximum principle, Schwarz lemma, and conformal mappings.
After completing the course you will be able to:
- carry out computations with the complex exponential, logarithm and root functions and know their domains of definition;
- calculate the image of circles and lines under Möbius transformations;
- find the harmonic conjugate to a harmonic function;
- express analytic functions in terms of power series and Laurent series;
- calculate complex line integrals and some infinite real integrals using Cauchy's integral theorem or residue calculus;
- find the number of zeroes and poles within a given curve using the argument principle or Rouche's theorem;
- calculate the flow lines of an irrotational and incompressible fluid.
Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.
If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.
Formal prerequisite knowledge
In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:
Mathematics R1 (or Mathematics S1 and S2) + R2
And in addition one of these:
- Physics (1+2)
- Chemistry (1+2)
- Biology (1+2)
- Information technology (1+2)
- Geosciences (1+2)
- Technology and theories of research (1+2)
The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).
Recommended previous knowledge
10 credits overlap with MAT2300 – Analysis II (discontinued)
*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department.
6 hours of lectures/exercises per week.
Final written examination.
Examination support material
No examination support material is allowed.
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 scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Explanations and appeals
Resit an examination
This course offers both postponed and resit of examination. Read more:
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.