Schedule, syllabus and examination date

Course content

Vectors and tensors. Index notation. Stress tensors for fluids and solids. Cauchy's relations. Principal stresses and principal directions. Velocities, displacement and acceleration. Deformation (strain). Relation between stress and strain. Newton's law of friction in fluids. Hooke's law for elastic matter. Simple viscous elastic models. The equation of motion for viscous fluids (the Navier Stokes equation). The equation of motion for isotropic linear elastic matter. Explicit solutions for equations for elastic matter: Stress distribution caused by gravity, axial strain, torsion of cylindrical rod, longitudinal and transversal (p- and s-waves), reflection of waves. Explicit solutions for equations for viscous fluids: Couette flow, laminar flow in pipes, flow on inclined planes, boundary layers. Equations of energy conservation, energy dissipation, equation of thermal transport, heat flow, Fourier's law. Scale analysis and principles and modeling.

Learning outcome

To give an introduction to the basic equations and solution methods for mathematical modeling of viscous fluids and elastic matter. The course provides a basis for further studies in mechanics, applied and industrial mathematics, physics, geology, geophysics, and astrophysics.

Admission

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

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Overlapping courses

10 credits with MEK2200 – Continuum Mechanics.

10 credits with ME115.

*The information about overlaps is not complete. Contact the department for more information if necessary.

Teaching

Colloquia/exercises for the duration of one semester. The exercises are mainly based on independent work from the students. The students must hand in compulsory assignments.

Examination

Two compulsory assignments have to be handed in and approved. Final written examination. Letter grading (A-F).

Rules for compulsory assignments at the Department of Mathematics (norwegian only)

Examination support material

Rottmann's formula list + approved calculator.

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Explanations and appeals

Resit an examination

Information about deferred and new examination (also called repeat examination) is found here (only in Norwegian) .

More information about examination at the Faculty of Mathematics and Natural Sciences can be found here .

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits
10
Teaching
Every autumn
Examination
Every autumn
Teaching language
Norwegian