# 2024/2025

## Recommended prerequisite for participation in the module

The module is based on knowledge achieved in the module "Applied engineering mathematics" or similar.

## Content, progress and pedagogy of the module

### Learning objectives

#### Knowledge

• Have knowledge and comprehension about fundamental numerical methods in mechanical, energy and civil engineering.
• Have knowledge and comprehension about numerical methods for solving systems of linear and nonlinear equations.
• Have knowledge about matrix eigenvalue problems.
• Have knowledge and comprehension about interpolation methods.
• Have knowledge and comprehension about numerical integration methods.
• Have knowledge and comprehension about numerical methods for first and second order ordinary differential equations.
• Have knowledge and comprehension about elliptic, parabolic and hyperbolic partial differential equations and their use in engineering.
• Have knowledge and comprehension about numerical solution of partial differential equations using finite difference, finite volume and finite element methods, and have knowledge about the application of these methods to engineering problems.

#### Skills

• Be able to apply numerical methods for solving linear systems of equations using direct and iterative solvers.
• Be able to solve a nonlinear equation and systems of nonlinear equations using numerical methods.
• Be able to estimate and calculate the eigenvalues and eigenvectors of a matrix.
• Be able to apply different methods for the interpolation of data.
• Be able to apply different methods for the numerical solution of definite integrals.
• Be able to solve first and second order ordinary differential equations using numerical methods.
• Be able to apply analytical methods for solving partial differential equations.
• Be able to apply finite difference methods for solving elliptic, parabolic and hyperbolic partial differential equations.
• Be able to apply the finite volume method for solving diffusion equations.
• Be able to apply the finite element method for solving diffusion equations.
• Be able to apply the computer program MATLAB for the numerical methods covered in the course.

#### Competences

• Be able to handle development-oriented environments involving numerical methods in study or work contexts.
• Be able to independently engage in disciplinary and interdisciplinary collaboration with a professional approach within mathematical numerical methods.
• Be able to identify own learning needs and to structure own learning in numerical methods.

### Type of instruction

The teaching is organized in accordance with the general form of teaching. Please see the programme cirruculum §17.

Teaching is in English and/or Danish depending on the participation of international students, or if the supervisor is of foreign origin.

### Extent and expected workload

Since it is a 5 ECTS course module the expected workload is 150 hours for the student.

## Exam

### Exams

 Name of exam Numerical Methods Type of exam Written or oral exam ECTS 5 Permitted aids Information about allowed helping aids for the examination will be published in the description of the semester/module. Assessment 7-point grading scale Type of grading Internal examination Criteria of assessment The criteria of assessment are stated in the Examination Policies and Procedures

## Facts about the module

 Danish title Numeriske metoder Module code M-MP-B5-3B Module type Course Duration 1 semester Semester Autumn and Spring ECTS 5 Language of instruction English Empty-place Scheme Yes Location of the lecture Campus Aalborg, Campus Esbjerg Responsible for the module Thomas Condra

## Organisation

 Education owner Master of Science (MSc) in Engineering (Indoor Environmental and Energy Engineering) Study Board Study Board of Mechanical Engineering and Physics Department Department of Materials and Production Faculty The Faculty of Engineering and Science