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.

Extent and expected workload

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

Exam

Exams