course-details-portlet

MA2106

Complex Function Theory and Differential Equations

Choose study year
Credits 7.5
Level Intermediate course, level II
Course start Autumn 2024
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
TMA4120 5 sp Autumn 2022
MA2104 7.5 sp Autumn 2022
MA2105 7.5 sp Autumn 2022
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

Lecturers

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Autumn 2024

School exam
Weighting 100/100 Examination aids Code D Date 2024-11-27 Time 15:00 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 SL515
1 candidate
Room SL121
1 candidate
Room SL520
2 candidates
Room SL111 brun sone
62 candidates
Room SL238
2 candidates

Re-sit examination - Summer 2025

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment
Place and room
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.