# TMA4130 - Mathematics 4N - Differential equations and Fourier analysis

### Examination arrangement

Examination arrangement: School exam

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours C

### 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.

• 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.

### Course materials

Will be announced at the start of the semester.

### Credit reductions

Course code Reduction From To
SIF5016 7.5
MA2105 3.7 AUTUMN 2008
TMA4125 7.5
TMA4122 7.5 AUTUMN 2009
MA2104 3.7 AUTUMN 2009
TMA4120 3.7 AUTUMN 2009
TMA4123 7.5 AUTUMN 2012
TMA4135 7.5 AUTUMN 2012
TMA4106 3.7 AUTUMN 2020
TMA4111 3.7 AUTUMN 2022
TMA4121 3.7 AUTUMN 2022
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Third-year courses, level III

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2024

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
• Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Mathematical Sciences

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 100/100
Summer UTS School exam 100/100
• * 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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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