Schedule, syllabus and examination date

Course content

MEK1100 gives an introduction to the theory of scalar and vector fields with examples from fluid mechanics, geophysics and physics. The course contains gradient and directional derivative, divergence and curl, circulation and flux, Gauss and Stokes theorems, computation of pressure force, particle derivative and acceleration, Cartesian and curvilinear coordinates, equation of continuity, Euler?s equation, Bernoulli?s equation, heat equation and heat flux with convection and Fourier?s law. The course gives an introduction to visualization and numerical computation of scalar and vector fields on the computer.

Learning outcome

After completing the course you

  • have knowledge about scaling, the significance of physical units and dimensionless parameters
  • can compute gradient and directional derivative, divergence and curl, equiscalar surfaces, field lines, curve integrals and circulation, surface integrals and flux, pressure force, particle derivative, in Cartesian and curvilinear coordinates, and have knowledge of the physical interpretation of these quantities
  • can apply Gauss and Stokes theorems
  • can apply potential and stream functions and have knowledge about potential flow
  • can use the computer to visualize scalar and vector fields and to do numerical computations of fields
  • have knowledge about the mass conservation equation and the equation of motion of fluids, Bernoulli?s equation for stationary ideal liquid flow, heat and temperature computations with convection and Fourier?s law

Admission to the course

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for?<