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TMA4130

Mathematics 4N - Differential equations and Fourier analysis

Choose study year
Credits 7.5
Level Third-year courses, level III
Course start Autumn 2022
Duration 1 semester
Language of instruction English and norwegian
Location Trondheim
Examination arrangement School exam

About

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.

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
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.

Other pages about the course

Subject areas

  • Technological subjects

Contact information

Course coordinator

Lecturers

Department with academic responsibility

Department of Mathematical Sciences