Course

Vector Analysis (MAT300)

Fundamental concepts in vector analysis, including Green's- Stokes'- and Divergence theorem


Dette er emnebeskrivelsen for studieåret 2025-2026

Fakta

Emnekode

MAT300

Vekting (stp)

10

Semester undervisningsstart

Autumn

Undervisningsspråk

Antall semestre

1

Vurderingssemester

Autumn

Timeplan

Vis timeplan

Litteratur

Søk etter pensumlitteratur i Leganto

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
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 Auestad

Course coordinator:

Alexander Ulanovskii

Course teacher:

Alexander Rashkovskii

Method 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

Battery and Energy Engineering - Bachelor in Engineering Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Computer Science - Bachelor in Engineering, Part-Time Electrical Engineering, Vocational Path - Bachelor's Degree Programme Electrical Engineering - Bachelor's Degree Programme, part-time Electrical Engineering - Bachelor's Degree Programme Energy and Petroleum Engineering - Bachelor in Engineering Geosciences and Energy Resources - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering Mathematics and Physics - Bachelor's Degree Programme Medical technology - Bachelor in Engineering Medical Technology - Bachelor in Engineering - part time Geosciences Engineering - Bachelor in Engineering Petroleum Technology - Bachelor in Engineering
Admission to Single Courses at the Faculty of Science and Technology
City and Regional Planning - Master of Science City and Regional Planning - Master of Science Degree Programme, Five Years Computer Science - Master of Science Degree Programme Environmental Engineering - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme, Five Year Industrial Automation and Signal Processing - Master's Degree Programme - 5 year Robot Technology and Signal Processing - Master's Degree Programme 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.

Kontakt

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Alexander Ulanovskii

Course teacher:

Alexander Rashkovskii

Tilbys av

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1