MEK1100 – Vector Calculus
Course description
Course content
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
Special admission requirements
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)
- Social economy (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
- MAT1105 – Linear algebra and numerical methods
- MAT-INF1100 – Modelling and Computations (discontinued) / MAT-IN1105 – Programming, Modelling and Computations (discontinued)
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
Midterm exam which counts 1/4 towards the final grade.
Final written exam which counts 3/4 towards the final grade.
This course has 2 mandatory assignments that must be approved before you can sit the final exam.
Examination support material
Midterm and final examination: Rottmann's formula list and approved calculator.
Information about approved calculators (Norwegian only)
Language of examination
Grading scale
Resit an examination
Dette emnet tilbyr både utsatt og ny eksamen. Les mer:
More about examinations at UiO
- Use of sources and citations
- How to use AI as a student
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.