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
Version
1
Credits (ECTS)
10
Semester tution start
Autumn
Number of semesters
1
Exam semester
Autumn
Language of instruction
English
Time table
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
MAT100 Mathematical Methods 1, MAT200 Mathematical Methods 2, MAT210 Real Analysis
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)
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 |
Open for
Admission to Single Courses at the Faculty of Science and Technology
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Advanced teacher education for level 8-13 in science
Mathematics and Physics - Five Year Integrated Master's Degree Programme
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Petroleum Engineering - Master of Science Degree Programme
Petroleum Engineering - Master of Science Degree Programme, Five Years
Exchange programme at Faculty of Science and Technology
Mathematics - One-Year Programme
Science and Technology - one-year programme
Course assessment
The faculty decides whether early dialogue should be conducted in all or selected groups of courses offered by the faculty. The purpose is to gather feedback from students for making changes and adjustments to the course during the current semester. In addition, a digital evaluation, students’ course evaluation, must be conducted at least once every three years. Its purpose is to collect students` experiences with the course.