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. 


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.


Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

Recommended previous knowledge

MAT1100 – Calculus and MAT-INF1100 – Modelling and computations/MAT-INF1100L – Programming, Modelling and Computations (continued). Should be taken together with or after MAT1110 – Calculus and Linear Algebra.

Overlapping courses

*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department. 


4 hours of lectures per week. In addition there will be exercise solving groups during the week, with guidance available. The exercises are mainly based on independent work from the students. 

The number of groups offered can be adjusted during the semester, depending on attendance.

As the teaching involves laboratory and/or field work, you should consider taking out a separate travel and personal risk insurance. Read about your insurance cover as a student.


mandatory assignments.

Midterm examination and final examination add up to the final grade. Both exams are compulsory and have to be taken in the same semester.

Midterm exam counts for 1/4 and the final exam counts for 3/4. The final grade is based on the total score and a general impression after the final examination.


Examination support material

Midterm and final examination: Rottmann's formula list + approved calculator.

Information about approved calculators (Norwegian only)



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.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

This course offers both postponed and resit of examination. Read more:

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


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






Every spring


Every spring

Teaching language