MAT2410 – Introduction to Complex Analysis

After completing the course you

• can carry out computations with the complex exponential, logarithm and root functions and know their domains of definition
• are able to calculate the image of circles and lines under Möbius transformations
• can find the harmonic conjugate to a harmonic function
• can express analytic functions in terms of power series and Laurent series
• are able to calculate complex line integrals and some infinite real integrals using Cauchy´s integral theorem or residue calculus
• can find the number of zeroes and poles within a given curve using the argument principle or Rouche´s theorem
• can calculate the flow lines of an irrotational and incompressible fluid.

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)

And in addition one of these:

• Mathematics R2
• Physics (1+2)
• Chemistry (1+2)
• Biology (1+2)
• Information technology (1+2)
• Geosciences (1+2)
• Technology and theories of research (1+2)
• Social economy (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).

• MAT1100 – Calculus
• MAT1110 – Calculus and Linear Algebra
• It will also be an advantage to have taken the following courses:
  • MAT2400 – Real Analysis

6 hours of lectures/exercises per week throughout the semester.

The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.

Final written exam which counts 100 % towards the final grade.

This course has 2 mandatory assignments that must be approved before you can sit the final exam.

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass, the original examination.