Course
Vector Analysis (MAT300)
Fundamental concepts in vector analysis, including Green's- Stokes'- and Divergence theorem
Dette er emnebeskrivelsen for studieåret 2025-2026. Merk at det kan komme endringer.
Semesters
Fakta
Emnekode
MAT300
Vekting (stp)
10
Semester undervisningsstart
Autumn
Undervisningsspråk
Antall semestre
1
Vurderingssemester
Autumn
Timeplan
Litteratur
Content
Vector calculus, second order curves and surfaces, directional derivatives, multiple integrals, line integrals of real and complex functions, surface integrals, vector fields, Stokes', Green's and divergence theorems.
Learning outcome
After completing and passing this course, the student should:
- Have a conceptual understanding of and be able to calculate double- and triple integrals.
- Have a conceptual understanding of and be able to calculate surface and line integrals.
- Have a conceptual understanding of and be able to apply Green's-, Divergence- and Stokes' theorems.
- Have a sufficiently deep knowledge and conceptual understanding in vector analysis to handle the topics above, in both known and unknown situations.
Forkunnskapskrav
Ingen
Anbefalte forkunnskaper
Mathematical Methods 1 (MAT100), Mathematical Methods 2 (MAT200), Real and Complex Calculus (MAT210)
Exam
| Form of assessment | Weight | Duration | Marks | Aid | Exam system | Withdrawal deadline | Exam date |
|---|---|---|---|---|---|---|---|
| Written exam | 1/1 | 4 Hours | Letter grades | Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed. Definite, basic calculator allowed | — | — | — |
Written exam is with pen and paper
Vilkår for å gå opp til eksamen/vurdering
Compulsory assignments
3 compulsory assignments must be approved to have access to the exam.
Fagperson(er)
Head of Department:
Bjørn Henrik AuestadCourse coordinator:
Alexander UlanovskiiCourse teacher:
Alexander RashkovskiiMethod of work
Six hours per week consisting of lectures and exercise classes.
Overlapping
| Emne | Reduksjon (SP) |
|---|---|
| Vector Analysis (MAT300_1) , Mathematics 3 - Vector Analysis (ÅMA290_1) | 5 |
| Vector Analysis (MAT300_1) , Mathematics 3 - Vector analysis (TE0302_1) | 6 |
| Vector Analysis (MAT300_1) , Mathematics 3 - Vector analysis (TE0302_A) | 6 |
Åpent for
Admission to Single Courses at the Faculty of Science and Technology
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Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years
Advanced teacher education for level 8-13 in science
Mathematics and Physics - Five Year Integrated Master's Degree Programme
Marine and Subsea Technology, Master of Science Degree Programme, Five Years
Offshore Technology - Master's Degree Programme
Petroleum Engineering - Master of Science Degree Programme
Petroleum Engineering - Master of Science Degree Programme, Five Years
Master's Degree Programme in Societal Safety, Specialisation in Technical Social Safety
Exchange programme at Faculty of Science and Technology
Mathematics - One-Year Programme
Science and Technology - one-year programme
Emneevaluering
There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.
The course description is retrieved from FS (Felles studentsystem). Version 1