course-details-portlet

MA2106

Complex Function Theory and Differential Equations

Credits 7.5
Level Intermediate course, level II
Course start Autumn 2025
Duration 1 semester
Language of instruction Norwegian
Location Trondheim
Examination arrangement School exam

About

About the course

Course content

Differentiability of functions of complex variables, Cauchy-Riemann equations, analytical and harmonic functions, complex integration, Cauchy's integral theorem and formula, analytical functions such as power series, zero points and poles, essential singularities, Laurent series, residy calculus, Fourier series, Fourier techniques for partial differential equations, separation of variables, wave equation, heating equation, Laplace equation.

Learning outcome

  1. Knowledge. The student has knowledge about basic concepts within complex function theory. The student knows about Fourier series and the use of these in the study of partial differential equations. The student knows basic theory of partial differential equations. The student has a solid foundation for further studies of complex analysis and differential equations. The student has knowledge of the requirements for stringency in mathematical analysis.
  2. Skills. The student has basic technical computational skills that are important in complex analysis and differential equations. The student can understand mathematical reasoning that combines different concepts and results from the course content. The student is able to derive simple results that are based on the academic content of the course.

Learning methods and activities

Lectures and mandatory exercises.

Compulsory assignments

  • Exercises

Further on evaluation

Retake of examination may be given as an oral examination. The retake exam is in August.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From
MA2104 7.5 sp Autumn 2022
MA2105 7.5 sp Autumn 2022
TMA4410 2.5 sp Autumn 2025
TMA4111 3.5 sp Autumn 2025
TMA4121 4 sp Autumn 2025
TMA4120 7.5 sp Autumn 2025
TMA4125 5 sp Autumn 2025
TMA4130 5 sp Autumn 2025
TMA4135 5 sp Autumn 2025
IMAA2012 4 sp Autumn 2025
IMAA2022 4 sp Autumn 2025
IMAA2023 4 sp Autumn 2025
IMAA2024 4 sp Autumn 2025
IMAA2150 2.5 sp Autumn 2025
IMAG2012 4 sp Autumn 2025
IMAG2022 4 sp Autumn 2025
IMAG2023 4 sp Autumn 2025
IMAG2024 4 sp Autumn 2025
IMAG2150 2.5 sp Autumn 2025
IMAT2012 4 sp Autumn 2025
IMAT2022 4 sp Autumn 2025
IMAT2023 4 sp Autumn 2025
IMAT2024 4 sp Autumn 2025
IMAT2150 2.5 sp Autumn 2025
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Autumn 2025

School exam
Weighting 100/100 Examination aids Code D Date 2025-12-10 Time 09:00 Duration 4 hours Exam system Inspera Assessment
Place and room for school exam

The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.

Sluppenvegen 14
Room SL510
15 candidates
Room SL520
44 candidates

Re-sit examination - Summer 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.