Vector Analysis (MAT300)
Fundamental concepts in vector analysis, including Green's- Stokes'- and Divergence theorem
Course description for study year 2025-2026
Course code
MAT300
Version
1
Credits (ECTS)
10
Semester tution start
Autumn
Number of semesters
1
Exam semester
Autumn
Language of instruction
English
Admission requirements
Science and mathematics qualification (REALFA) / Higher engineering education (HING)
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
Recommended prerequisites
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
3 compulsory assignments must be approved to have access to the exam.
Course teacher(s)
Course coordinator:
Alexander UlanovskiiCourse teacher:
Alexander RashkovskiiHead of Department:
Bjørn Henrik AuestadMethod of work
Six hours per week consisting of lectures and exercise classes.
Overlapping courses
Course | Reduction (SP) |
---|---|
Mathematics 3 - Vector Analysis (ÅMA290_1) | 5 |
Mathematics 3 - Vector analysis (TE0302_1) | 6 |
Mathematics 3 - Vector analysis (TE0302_A) | 6 |