Course - Mathematics 4K - Complex analysis, differential equations and Fourier analysis - TMA4120
Mathematics 4K - Complex analysis, differential equations and Fourier analysis
About
About the course
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 |
|---|---|---|
| MA2104 | 7.5 sp | |
| SIF5012 | 7.5 sp | |
| MA2105 | 3.7 sp | Autumn 2009 |
| TMA4122 | 3.7 sp | Autumn 2009 |
| TMA4123 | 3.7 sp | Autumn 2009 |
| TMA4125 | 3.7 sp | Autumn 2009 |
| TMA4130 | 3.7 sp | Autumn 2009 |
| TMA4135 | 3.7 sp | Autumn 2009 |
| TMA4106 | 3.7 sp | Autumn 2020 |
| TMA4111 | 3.7 sp | Autumn 2022 |
| TMA4121 | 3.7 sp | Autumn 2022 |
| TMA4410 | 2 sp | Autumn 2025 |
| MA2106 | 7.5 sp | Autumn 2025 |
Subject areas
- Technological subjects
Contact information
Course coordinator
Department with academic responsibility
Examination
Examination
Ordinary examination - Autumn 2025
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.