Course
Vector Analysis (MAT300)
Fundamental concepts in vector analysis, including Green's- Stokes'- and Divergence theorem
Course description for study year 2025-2026. Please note that changes may occur.
Facts
Course code
MAT300
Credits (ECTS)
10
Semester tution start
Autumn
Language of instruction
Number of semesters
1
Exam semester
Autumn
Time table
Literature
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.
Required prerequisite knowledge
None
Recommended prerequisites
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
Coursework requirements
Compulsory assignments
3 compulsory assignments must be approved to have access to the exam.
Course teacher(s)
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 courses
| Course | Reduction (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 |
Open for
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Exchange programme at Faculty of Science and Technology
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Course assessment
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