Course

Numerical Modeling 1 (MAF310)

The course is an introduction to numerical mathematics, with basic theory and methods for solving numerical computational problems with and without the use of computers.


Dette er emnebeskrivelsen for studieåret 2025-2026. Merk at det kan komme endringer.

Fakta

Emnekode

MAF310

Vekting (stp)

5

Semester undervisningsstart

Spring

Undervisningsspråk

English

Antall semestre

1

Vurderingssemester

Spring

Timeplan

Vis timeplan

Litteratur

Søk etter pensumlitteratur i Leganto

Content

Many mathematical problems in science and engineering do not permit simple analytic solutions, necessitating the use of numerical methods. This course provides theoretical insights into fundamental numerical algorithms for problem-solving, along with their practical implementation using the Python programming language. Topics covered include systems of linear equations, interpolation and curve fitting, solutions to nonlinear equations, numerical differentiation and integration, ordinary differential equations, and partial differential equations.

The course runs parallel with MAF320 Numerical Modeling 2, which focuses more on the programming and practical problem-solving aspects of numerical modeling.

Learning outcome

After completing this course, students are expected to:

K1: Have knowledge of key numerical methods, including strategies for constructing and analyzing these methods.

K2: Understand the limitations of numerical methods, such as discretization errors and various instabilities.

F1: Be able to use the Python programming language to solve basic numerical problems using pre-existing algorithms in the NumPy and SciPy packages, with confidence and an understanding of numerical uncertainties.

G1: Master the presentation and communication of computational results using the interactive computing platform Jupyter Notebook.

Forkunnskapskrav

Ingen

Anbefalte forkunnskaper

Mechanics (FYS100), Physics for data/electro (FYS102), Mathematical Methods 2 (MAT200), Real and Complex Calculus (MAT210)
The students who have not taken DAT120 are strongly recommended to take MAF320 in parallel with MAF310.

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Approved, basic calculator


Written final exam with pen and paper.

Vilkår for å gå opp til eksamen/vurdering

Compulsory exercises

Two mandatory assignments; approved/not approved.

Both must be passed in order to gain admission to the written final exam

Fagperson(er)

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Eero Aleksi Kurkela

Method of work

Lectures and exercises (4 hours/week)

Overlapping

Emne Reduksjon (SP)
Numerical Modeling (MAF300_1) , Numerical Modeling 1 (MAF310_1) 5

Åpent for

Bachelor level at Faculty og Science and Technology

Master level at Faculty of Science and Technology.

Emneevaluering

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

Kontakt

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Eero Aleksi Kurkela

Tilbys av

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1