Course - Mathematics 4K - Complex analysis, differential equations and Fourier analysis - TMA4120
TMA4120 - Mathematics 4K - Complex analysis, differential equations and Fourier analysis
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | C |
Course content
Complex functions, complex integration, Laurent series and calculation of residues. The Laplace transform with applications to solving ordinary differential equations and integral equations. Introduction to linear second order partial differential equations. Fourier series and the Fourier transform with applications to solving linear partial differential equations.
Learning outcome
1. Knowledge. The student is able to recognize, understand and apply concepts and methods from complex function theory, the theory of Fourier series, Fourier transformation and Laplace transformation, and linear second order partial differential equations. In particular in connection with the solution of ordinary and partial differential equations.
2. Skills. The student is able to apply his or her knowledge of complex function theory, integral transformations, and differential equations to formulate and solve problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.
Learning methods and activities
Lectures, compulsory exercises. Parts of the course may be lectured in English.
Compulsory assignments
- Exercises
Further on evaluation
Course grade is based on a written final exam (100%). Retake of exam may be given as an oral exam. The retake exam is in August.
Recommended previous knowledge
The courses TMA4100/05/10/15 Mathematics 1/2/3; or the courses MA1101/2/3 and MA1201/2; or equivalent.
Course materials
Will be announced at the start of the semester.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MA2104 | 7.5 | ||
| SIF5012 | 7.5 | ||
| MA2105 | 3.7 | AUTUMN 2009 | |
| TMA4122 | 3.7 | AUTUMN 2009 | |
| TMA4123 | 3.7 | AUTUMN 2009 | |
| TMA4125 | 3.7 | AUTUMN 2009 | |
| TMA4130 | 3.7 | AUTUMN 2009 | |
| TMA4135 | 3.7 | AUTUMN 2009 | |
| TMA4106 | 3.7 | AUTUMN 2020 | |
| TMA4111 | 3.7 | AUTUMN 2022 | |
| TMA4121 | 3.7 | AUTUMN 2022 | |
| MA2106 | 5.0 | AUTUMN 2022 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: AUTUMN 2024
Language of instruction: Norwegian
Location: Trondheim
- Technological subjects
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 C 2024-11-27 09:00 PAPIR
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Room Building Number of candidates Storhall del 2 Idrettssenteret (Dragvoll) 212 DI42 Idrettssenteret (Dragvoll) 6 M433-Eksamensrom 4.etg Mustad, Inngang A 1 SL321 Sluppenvegen 14 1 SL274 Sluppenvegen 14 5 - Summer UTS School exam 100/100 C INSPERA
-
Room Building Number of candidates
- * 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"