# 2019/2020

## Content, progress and pedagogy of the module

Objective:

Students who complete the module:

### Learning objectives

#### Knowledge

• Must be able to understand the analytical solution of partial differential equations including
• Linear equation systems, Gaussian elimination, factorization methods
• Must be able to understand numerical solution methods including
• Iterative solution of equations e.g. Gauss-Seidel, ill-conditioned systems of linear equations, matrix eigenvalue problems, solution of non-linear equations, interpolation, splines, numerical solution of integrals, numerical solution of first-order and second-order differential equations

#### Skills

• Must be able to apply numerical methods to solve mathematical problems
• Must be able to apply finite difference and finite element methods including
• The finite difference method
• The finite volume method
• Difference approximations, elliptic equations, Dirichlet og Neumann boundary conditions, parabolic equations, explicit and implicit methods, the Theta method, hyperbolic equations
• The finite element method

#### Competences

• Must be able to apply numerical methods in engineering
• Must be able to contribute independently to professional and multidisciplinary work with a professional knowledge on numerical methods
• Must be able to identify personal learning needs and be able to structure the learning within numerical methods

### Type of instruction

Lectures, etc. supplemented with project work, workshops, presentation seminars, lab tests.

Since it is a 5 ECTS project module, the workload is expected to be 150 hours for the student.

## Exam

### Exams

 Name of exam Numerical Methods Type of exam Written or oral exam Individual oral or written exam ECTS 5 Assessment 7-point grading scale Type of grading Internal examination Criteria of assessment As stated in the Joint Programme Regulations. http:/​/​www.engineering.aau.dk/​digitalAssets/​332/​332984_faellesbestemmelser_230617.pdf