Course - Complex Function Theory and Differential Equations - MA2106
MA2106 - Complex Function Theory and Differential Equations
About
New from the academic year 2022/2023
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | D |
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
- 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.
- 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.
Recommended previous knowledge
MA1101, MA1102, MA1103, MA1201 and MA1202
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| TMA4120 | 5.0 | AUTUMN 2022 | |
| MA2104 | 7.5 | AUTUMN 2022 | |
| MA2105 | 7.5 | AUTUMN 2022 |
Version: 1
Credits:
7.5 SP
Study level: Intermediate course, level II
Term no.: 1
Teaching semester: AUTUMN 2022
Language of instruction: Norwegian
Location: Trondheim
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 D 2022-12-06 15:00 INSPERA
-
Room Building Number of candidates SL310 turkis sone Sluppenvegen 14 46 SL430 Sluppenvegen 14 3 SL238 Sluppenvegen 14 3 SL310 lilla sone Sluppenvegen 14 15 - Summer UTS School exam 100/100 D 2023-08-07 09:00 INSPERA
-
Room Building Number of candidates SL120 blå sone Sluppenvegen 14 1 SL311 lyseblå sone Sluppenvegen 14 18
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"