Course - Mathematics 4N - Differential equations and Fourier analysis - TMA4130
Mathematics 4N - Differential equations and Fourier analysis
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About the course
Course content
The Laplace transform with applications to solving ordinary differential equations and integral equations. Fourier series and the Fourier transform with applications to solving linear partial differential equations. Numerical methods: Interpolation, differentiation, and integration. Methods for solving linear and non-linear systems of equations. Runge-Kutta methods for solving systems of ordinary differential equations. Difference methods for solving partial differential equations. Introduction to computational tools with examples.
Learning outcome
1. Knowledge. The student is able to recognize, understand and apply concepts and methods from the theory of Fourier series, Fourier transformation, Laplace transformation, ordinary and partial differential equations and numerical solution of systems of equations and differential equations.
2. Skills. The student is able to apply his or her knowledge of Fourier theory, ordinary and partial differential equations and numerical methods 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 and compulsory exercises. The lectures may be given in English.
Compulsory assignments
- Exercises
Further on evaluation
Grade based on final written examination. Retake of examination may be given as an oral examination. The retake exam is in August.
Recommended previous knowledge
The course is based on TMA4100/05/10/15 Mathematics 1/2/3 or equivalent.
Course materials
Will be announced at the start of the semester.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| SIF5016 | 7.5 sp | |
| MA2105 | 3.7 sp | Autumn 2008 |
| TMA4125 | 7.5 sp | |
| TMA4122 | 7.5 sp | Autumn 2009 |
| MA2104 | 3.7 sp | Autumn 2009 |
| TMA4120 | 3.7 sp | Autumn 2009 |
| TMA4123 | 7.5 sp | Autumn 2012 |
| TMA4135 | 7.5 sp | Autumn 2012 |
| TMA4106 | 3.7 sp | Autumn 2020 |
| TMA4111 | 3.7 sp | Autumn 2022 |
| TMA4121 | 3.7 sp | Autumn 2022 |
Subject areas
- Technological subjects
Contact information
Course coordinator
Lecturers
Department with academic responsibility
Examination
Examination
Ordinary examination - Autumn 2024
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.