# MEK1100 – Vector Calculus

Choose semester

## Changes in the course due to coronavirus

Autumn 2020 and Spring 2021 the exams of most courses at the MN Faculty will be conducted as digital home exams or oral exams, using the normal grading scale. The semester page for your course will be updated with any changes in the form of examination.

Please note that there may be changes in the form of examination for some courses taught Spring 2021. We aim to bring both the course description and the semester page of all courses up to date with correct information by 1 February 2021.

## 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.

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).

Should be taken together with or after MAT1110 – Calculus and Linear Algebra.

## Overlapping courses

• 5 credits overlap with ME110.
• 5 credits overlap with MAT120A.
• 5 credits overlap with MAT120A.
• 5 credits overlap with ME110.

## Teaching

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.

## Examination

This course has 2 mandatory assignments that must be approved before you can sit the final exam.

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)

### Resit an examination

Dette emnet tilbyr både utsatt og ny eksamen. Les mer:

### Special examination arrangements, use of sources, explanations and appeals

See more about examinations at UiO

Last updated from FS (Common Student System) Jan. 17, 2021 10:19:46 AM

Credits
10
Level
Bachelor
Teaching
Spring
Examination
Spring
Teaching language
Norwegian

## Contact

Department of Mathematics