Numerical Methods

2022/2023

Content, progress and pedagogy of the module

Learning objectives

Knowledge

Students who complete the module:

  • 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

Students who complete the module:

  • 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

Students who complete the module:

  • 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.

Extent and expected workload

The module is 5 ECTS which is corresponding to 150 hours of study.

Exam

Exams

Name of examNumerical Methods
Type of exam
Written or oral exam
The exam is carried out either separately or in connection with the project exam. Form of examination is determined at the beginning of the semester.
ECTS5
Assessment7-point grading scale
Type of gradingInternal examination
Criteria of assessmentThe criteria of assessment are stated in the Examination Policies and Procedures

Facts about the module

Danish titleNumeriske metoder
Module codeB-IE-K1-7
Module typeCourse
Duration1 semester
SemesterAutumn
ECTS5
Language of instructionEnglish
Location of the lectureCampus Aalborg
Responsible for the module

Organisation

Study BoardStudy Board of the Build Environment
DepartmentDepartment of the Built Environment
FacultyFaculty of Engineering and Science